Financial Management Financial management refers to the efficient and effective management of organization. It is strategically planning how a business should money (funds) in such a manner as to accomplish the objectives of the earn and spend money. This includes decisions about raising capital, borrowing money and budgeting. Financial management also involves setting financial goals and analyzing data. The general meaning of finance refers to providing funds, as and when needed. However, as management function, the term ‘Financial Management’ has a distinct meaning. Financial management deals with the study of procuring funds and its effective and judicious utilization, in terms of the overall objectives of the firm, and expectations of the providers of funds. The basic objective is to maximize the value of the firm. The purpose is to achieve maximization of share value to the owners i.e. equity shareholders. . DEFINITIONS The term financial management has been defined, differently, by various authors. Some of the authoritative definitions are given below: “Financial Management is concerned with the efficient use of an important economic resource, namely, Capital Funds” —Solomon “Financial Management is concerned with the managerial decisions that result in the acquisition and financing of short-term and long-term credits for the firm” —Phillioppatus “Business finance is that business activity which is concerned with the conservation and acquisition of capital funds in meeting financial needs and overall objectives of a business enterprise” —Wheeler “Financial management is concerned with raising financial resources and their effective utilisation towards achieving the organisational goals” --Dr. S. N. Maheshwari “Financial management is the process of putting the available funds to the best advantage from the long term point of view of business objectives” Richard A. Brealey Scope of Financial Management Financial management has a wide scope. According to Dr. S. C. Saxena, the scope of financial management includes the following five ‘A’s. 1. Anticipation: Financial management estimates the financial needs of the company. That is, it finds out how much finance is required by the company. 2. Acquisition: It collects finance for the company from different sources. 3. Allocation: It uses this collected finance to purchase fixed and current assets for the company. 4. Appropriation: It divides the company’s profits among the shareholders, debenture holders, etc. It keeps a part of the profits as reserves. 5. Assessment: It also controls all the financial activities of the company. Financial management is the most important functional area of management. All other functional areas such as production management, marketing management, personnel management, etc. depend on financial management. Efficient financial management is required for survival, growth and success of the company or firm. Aim of finance functions The following are the aims of finance function: 1. Acquiring Sufficient and Suitable Funds: The primary aim of finance function is to assess the needs of the enterprise, properly, and procure funds, in time. Time is also an important element in meeting the needs of the organisation. If the funds are not available as and when required, the firm may become sick or, at least, the profitability of the firm would be, definitely, affected. It is necessary that the funds should be, reasonably, adequate to the demands of the firm. The funds should be raised from different sources, commensurate to the nature of business 6 Financial Management and risk profile of the organisation. When the nature of business is such that the production does not commence, immediately, and requires long gestation period, it is necessary to have the long-term sources like share capital, debentures and long term loan etc. A concern with longer gestation period does not have profits for some years. So, the firm should rely more on the permanent capital like share capital to avoid interest burden on the borrowing component. 2. Proper Utilisation of Funds: Raising funds is important, more than that is its proper utilisation. If proper utilisation of funds were not made, there would be no revenue generation. Benefits should always exceed cost of funds so that the organisation can be profitable. Beneficial projects only are to be undertaken. So, it is all the more necessary that careful planning and cost-benefit analysis should be made before the actual commencement of projects. 3. Increasing Profitability: Profitability is necessary for every organisation. The planning and control functions of finance aim at increasing profitability of the firm. To achieve profitability, the cost of funds should be low. Idle funds do not yield any return, but incur cost. So, the organisation should avoid idle funds. Finance function also requires matching of cost and returns of funds. If funds are used efficiently, profitability gets a boost. 4. Maximising Firm’s Value: The ultimate aim of finance function is maximising the value of the firm, which is reflected in wealth maximisation of shareholders. The market value of the equity shares is an indicator of the wealth maximisation. Functions of finance Finance function is the most important function of a business. Finance is, closely, connected with production, marketing and other activities. In the absence of finance, all these activities come to a halt. In fact, only with finance, a business activity can be commenced, continued and expanded. Finance exists everywhere, be it production, marketing, human resource development or undertaking research activity. Understanding the universality and importance of finance, finance manager is associated, in modern business, in all activities as no activity can exist without funds. Financial Decisions or Finance Functions are closely interconnected. All decisions mostly involve finance. When a decision involves finance, it is a financial decision in a business firm. In all the following financial areas of decisionmaking, the role of finance manager is vital. We can classify the finance functions or financial decisions into four major groups: (A) Investment Decision or Long-term Asset mix decision (B) Finance Decision or Capital mix decision (C) Liquidity Decision or Short-term asset mix decision (D) Dividend Decision or Profit allocation decision (A) Investment Decision Investment decisions relate to selection of assets in which funds are to be invested by the firm. Investment alternatives are numerous. Resources are scarce and limited. They have to be rationed and discretely used. Investment decisions allocate and ration the resources among the competing investment alternatives or opportunities. The effort is to find out the projects, which are acceptable. Investment decisions relate to the total amount of assets to be held and their composition in the form of fixed and current assets. Both the factors influence the risk the organisation is exposed to. The more important aspect is how the investors perceive the risk. The investment decisions result in purchase of assets. Assets can be classified, under two broad categories: (i) Long-term investment decisions – Long-term assets (ii) Short-term investment decisions – Short-term assets Long-term Investment Decisions: The long-term capital decisions are referred to as capital budgeting decisions, which relate to fixed assets. The fixed assets are long term, in nature. Basically, fixed assets create earnings to the firm. They give benefit in future. It is difficult to measure the benefits as future is uncertain. The investment decision is important not only for setting up new units but also for expansion of existing units. Decisions related to them are, generally, irreversible. Often, reversal of decisions results in substantial loss. When a brand new car is sold, even after a day of its purchase, still, buyer treats the vehicle as a second-hand car. The transaction, invariably, results in heavy loss for a short period of owning. So, the finance manager has to evaluate profitability of every investment proposal, carefully, before funds are committed to them. Short-term Investment Decisions: The short-term investment decisions are, generally, referred as working capital management. The finance manger has to allocate among cash and cash equivalents, receivables and inventories. Though these current assets do not, directly, contribute to the earnings, their existence is necessary for proper, efficient and optimum utilisation of fixed assets. (B) Finance Decision Once investment decision is made, the next step is how to raise finance for the concerned investment. Finance decision is concerned with the mix or composition of the sources of raising the funds required by the firm. In other words, it is related to the pattern of financing. In finance decision, the finance manager is required to determine the proportion of equity and debt, which is known as capital structure. There are two main sources of funds, shareholders’ funds (variable in the form of dividend) and borrowed funds (fixed interest-bearing). These sources have their own peculiar characteristics. The key distinction lies in the fixed commitment. Borrowed funds are to be paid interest, irrespective of the profitability of the firm. Interest has to be paid, even if the firm incurs loss and this permanent obligation is not there with the funds raised from the shareholders. The borrowed funds are relatively cheaper compared to shareholders’ funds, however they carry risk. This risk is known as financial risk i.e. Risk of insolvency due to non-payment of interest or nonrepayment of borrowed capital. On the other hand, the shareholders’ funds are permanent source to the firm. The shareholders’ funds could be from equity shareholders or preference shareholders. Equity share capital is not repayable and does not have fixed commitment in the form of dividend. However, preference share capital has a fixed commitment, in the form of dividend and is redeemable, if they are redeemable preference shares. Barring a few exceptions, every firm tries to employ both borrowed funds and shareholders’ funds to finance its activities. The employment of these funds, in combination, is known as financial leverage. Financial leverage provides profitability, but carries risk. Without risk, there is no return. This is the case in every walk of life! When the return on capital employed (equity and borrowed funds) is greater than the rate of interest paid on the debt, shareholders’ return get magnified or increased. In period of inflation, this would be advantageous while it is a disadvantage or curse in times of recession. Example: Total investment: Rs. 1, 00,000 Return 15%. Composition of investment: Equity Debt @ 7% interest Return on investment Rs. 60,000 Rs. 40,000 @ 15% Rs. 15,000 Interest on Debt Rs. 2,800 7% on Rs.40, 000 Earnings available to Equity shareholders Rs. 12,200 Return on equity (ignoring tax) is 20%, which is at the expense of debt as they get 7% interest only. In the normal course, equity would get a return of 15%. But they are enjoying 20% due to financing by a combination of debt and equity. This area would be discussed in detail while dealing with Leverages, in the later chapter. The finance manager follows that combination of raising funds which is optimal mix of debt and equity. The optimal mix minimises the risk and maximises the wealth of shareholders. (C) Liquidity Decision Liquidity decision is concerned with the management of current assets. Basically, this is Working Capital Management. Working Capital Management is concerned with the management of current assets. It is concerned with short-term survival. Short term-survival is a prerequisite for long-term survival. When more funds are tied up in current assets, the firm would enjoy greater liquidity. In consequence, the firm would not experience any difficulty in making payment of debts, as and when they fall due. With excess liquidity, there would be no default in payments. So, there would be no threat of insolvency for failure of payments. However, funds have economic cost. Idle current assets do not earn anything. Higher liquidity is at the cost of profitability. Profitability would suffer with more idle funds. Investment in current assets affects the profitability, liquidity and risk. A proper balance must be maintained between liquidity and profitability of the firm. This is the key area where finance manager has to play significant role. The strategy is in ensuring a trade-off between liquidity and profitability. This is, indeed, a balancing act and continuous process. It is a continuous process as the conditions and requirements of business change, time to time. In accordance with the requirements of the firm, the liquidity has to vary and in consequence, the profitability changes. This is the major dimension of liquidity decision working capital management. Working capital management is day to day problem to the finance manager. His skills of financial management are put to test, daily. (D) Dividend Decision Dividend decision is concerned with the amount of profits to be distributed and retained in the firm. Dividend: The term ‘dividend’ relates to the portion of profit, which is distributed to shareholders of the company. It is a reward or compensation to them for their investment made in the firm. The dividend can be declared from the current profits or accumulated profits. Which course should be followed – dividend or retention? Normally, companies distribute certain amount in the form of dividend, in a stable manner, to meet the expectations of shareholders and balance is retained within the organisation for expansion. If dividend is not distributed, there would be great dissatisfaction to the shareholders. Non-declaration of dividend affects the market price of equity shares, severely. One significant element in the dividend decision is, therefore, the dividend payout ratio i.e. what proportion of dividend is to be paid to the shareholders. The dividend decision depends on the preference of the equity shareholders and investment opportunities, available within the firm. A higher rate of dividend, beyond the market expectations, increases the market price of shares. However, it leaves a small amount in the form of retained earnings for expansion. The business that reinvests less will tend to grow slower. The other alternative is to raise funds in the market for expansion. It is not a desirable decision to retain all the profits for expansion, without distributing any amount in the form of dividend. There is no ready-made answer, how much is to be distributed and what portion is to be retained. Retention of profit is related to • Reinvestment opportunities available to the firm. • Alternative rate of return available to equity shareholders, if they invest themselves. Objective of finance function 1. Profit maximisation : The main objective of financial management is profit maximisation within the private sector. The finance manager is responsible to assist in earning maximum profits for the company, in the shortterm and for the long-term. However they cannot guarantee profits in the long term because of the uncertainty of business. However, a company can earn maximum profits if:A. Management and the finance manager take proper financial decisions and plan well. B. The organisation uses the finances of the company carefully and strategically. Other factors Profit Maximization 2. Wealth maximisation: Wealth maximisation (shareholders’ value maximisation) is also a main objective of financial management. Wealth maximisation means to earn maximum wealth for the shareholders. So, the finance manager will attempt to achieve maximum dividends to shareholders, and they will also try to increase the market value of the shares. The market value of the shares should be directly related to the performance of the company. The better the performance, the higher is the market value of shares and vice-versa. So, the finance manager must try to maximise shareholder’s value. Risk Associated Future expected cash flow Wealth maximization Pay back Period Time Value of Money Wealth maximization uses the concept of future expected cash flows rather then the ambiguous term Profits. It considers time value of money. It considers Risk associated with investment Also the Pay Back Period of specific projects. 3. Adequate forecasting of the total financial cash requirement : Proper estimation of the total financial requirements is a very important objective of financial management. The finance manager must forecast the total financial requirements of the organisation. They must find out how much finance cash will be required to start and run the organisation. They must find out the fixed capital and working capital requirements of the company. Their forecasting must be as accurate as possible. If not, there could be a shortage or surplus of finance available. Forecasting the financial requirements is a very difficult job. The finance manager must consider many factors, such as the type of technology used by company, number of employees employed, scale of operations, legal requirements, competition, external environment, economy etc. 4. Proper resourcing : Collection of finance is an important objective of financial management. After forecasting the financial requirements, the finance manager must decide where the finance cash will be sourced.They can collect finance from many sources such as shares, debentures, bank loans, etc. There must be a proper balance between owned finance and borrowed finance. The company must borrow money at as low a rate of interest as achieveable. 5. Proper utilisation of finance cash : Proper utilisation of finance is an important objective of financial management. The finance manager must plan the optimum use of finance. They must use the finance profitably delivering best value for money. They must not waste the money of the organisation. They must assist and advise not to invest the company’s financial resources into unprofitable projects. They must forecast adequately the cash flow to enable smooth stock control. They must have a good supply of short credit. 6. Maintaining proper cash flow : Maintaining proper cash flow is a short-term objective of financial management. The company must have a proper cash flow to pay the day-today expenses such as purchasing of raw materials, the payment of wages and salaries, rent, electricity bills, etc. If the company has good cash flow, it can take advantage of many opportunities such as taking cash discounts on purchases, large-scale purchasing, giving credit to customers, etc. A healthy cash flow improves the chances of survival and success of the company. Also gives strength against competition and the ability to make acquisitions. 7. Survival of company : Survival is the most important objective of sound financial management. The company must survive in this competitive business world. The finance manager must be very careful while making financial decisions. 8. Creating reserves : One of the objectives of financial management is to create reserves. The company should not distribute the full profits as a dividend to the shareholders. It should keep a part of its profit in reserves. Reserves can be used for future growth and expansion. It can also be used to face contingencies in the future if any emergencies should arise, or give strength for a possible merger or acquisition. 9. Proper co-ordination : Financial management assist and try to have proper planning and coordination between the finance department and other departments of the company. 10. Creating goodwill : Financial management must try to create goodwill for the company. It must improve the image and reputation of the company. Goodwill helps the company to survive in the short-term and succeed in the long-term. It also helps the company during bad times. It also adds value to company’s net worth in an event of a takeover or buy out. 11. Increase efficiency : Financial management should facilitate increasing the efficiency of all the departments of the company. Proper distribution of finance to all the departments will increase the efficiency of the entire company. 12. Financial discipline : Financial management should create a financial discipline within the organisation. Financial discipline means: •To invest finance only in productive areas. This will bring higher returns (profits) to the company. •To avoid wastage and misuse of finance. 13. Reducing the cost of capital : Financial management try to reduce the cost of capital. That is, it will attempt to borrow money at a low rate of interest. The finance manager must plan the capital structure in such a way that the cost of capital it minimised, either through debt, gearing or equity finance. 14. Reducing operating risks : Financial management also tries to reduce the operating risks. There are many risks and uncertainties in a business. The finance manager must take steps to reduce these risks. They must avoid high-risk projects unless it is the policy of the company. They must also take proper adequate insurance. 15. Constructing the best capital structure : Financial management help prepare the capital structure of the organisation. It assists in the ratio between owned finance and borrowed finance. It brings a proper balance between the different sources of capital. This balance is necessary for liquidity, economy, flexibility and stability. This is connected to gearing. Time value of money The time value of money (TVM) is the idea that money available at the present time is worth more than the same amount in the future due to its potential earning capacity. The principle of the time value of money explains why interest is paid or earned: Interest, whether it is on a bank deposit or debt, compensates the depositor or lender for the time value of money. This core principle of finance holds that, provided money can earn interest, any amount of money is worth more the sooner it is received. TVM is also sometimes referred to as present discounted value. DEFINITIONS 1) Price put on the time an investor or lender has to wait until the investment or loan is fully recouped. TVM is based on the concept that money received earlier is worth more than the same amount of money received later, because it can be 'employed' to earn interest over time. Computed as compound interest. 2) The time value of money theory states that a dollar that you have in the bank today is worth more than a reliable promise or expectation of receiving a dollar at some future date. You can invest the dollar today and earn a return on that investment, such as interest or dividend payments. The time value of money draws from the idea that rational investors prefer to receive money today rather than the same amount of money in the future because of money's potential to grow in value over a given period of time. For example, money deposited into a savings account earns a certain interest rate, and is therefore said to be compounding in value. Further illustrating the rational investor's preference; assume you have the option to choose between receiving $10,000 now versus $10,000 in two years. It's reasonable to assume most people would choose the first option. Despite the equal value at time of disbursement, receiving the $10,000 today has more value and utility to the beneficiary than receiving it in the future due to the opportunity costs associated with the wait. Such opportunity costs could include the potential gain on interest were that money received today and held in a savings account for two years. There are two techniques to determine time value of money i.e., compounding and discounting Compounding Compounding is essentially about the money moving forwards in time. It’s the process, which determines the future value of your money, such as an investment. In this technique, the interest is compounded and becomes a part of initial principal at the end of compounding period. The idea of compound growth tells you that if you have $500 today and it earns an annual interest of 2%, then your initial money will grow into something bigger in the future. Furthermore, compounding shows the future value in instances where the interest continues to add as the value goes up. What does this mean? Well if you originally invest $500 and your investment earns 2% every year, with your investment lasting five years. On the first year, you gain interest on the original $500, but after that you gain interest on the $500 + the interest from previous years. This would mean: Starting investment: $500 Year One: $500 + 2% interest = $510 Year Two: ($500 + 2% interest) + 2% interest = $520.20 And so on. The initial amount is compounding because it gains interest on the initial amount, but also because it earns interest on the interest payments. Compounding can be used to solve three major themes of issues in regards to understanding a future value of money. These are: The future value of a single sum. If I get $500, what will it be worth in 5 years with a determined annual interest? The future value of a series of payments. If I get $500 every year, what will it be worth in 5 years with a determined annual interest? The payments needed to make in order to achieve a future value. If I want to have $10,000 in five years and I know the determined interest, how much do I need to have at the moment or invest annually to achieve this? In this technique, time value of money is calculated by following formula: A = P (1+r)n Where A = Amount at the end of the period P = Principal Amount r = rate of interest n = Number of years Illustration: If Mr. X invests Rs. 10,000 in fixed deposit carrying interest rate@10% p.a. compounding annually for four years. Calculate the amount he will receive at the end of four years. Sol- A = P / (1+r)n A = 10,000( 1 +0.10)4 A = 14,641 Discounting Discounting is the opposite of compounding. In discounting, money is moving backwards in time. The process determines what the present value of a known value in the future is. In discounting, the current value is determined by applying the opportunity cost to the value expected to be received in the future. So, if you were told to receive $500 in five years, you could determine the present value of this money with the technique of discounting. Discounting is essentially the inverse of growing. Discounting can be useful to solve three specific issues of TVM. These are: The present value of a single sum. If I’m told to have $500 in five years, with the interest standing at 2% annually what is the value today? The present value of a series of payments. If I have an annuity that pays $1,000 every month for next ten years, how much shall I pay for it, in order to gain 2% each year? The amount needed to amortize a present value. How much do I need to pay on a 10-year loan of $20,000 if the annual compound rate is 3.5%? In this technique, time value of money is calculated by following formula: P = A / (1+r)n Where P = Present value A = Sum received in future I = Rate of interest n = Number of Years Illustration: If Mr. X is given an opportunity to receive Rs. 10,000 after two years, where he can earn interest at 10% p.a. on his investment, what should be the amount he should invest today so that he may be able to get Rs.10,000 after two years? Sol- P = A / (1+r)n P = 10,000 / (1 +0.10)2 P = 8,264 Valuation of bonds & shares The valuation of any asset, real finance is equivalent to the current value of cash flows estimated from it. Bonds A bond is a debt instrument that provides a periodic stream of interest payments to investors while repaying the principal sum on a specified maturity date. A bond’s terms and conditions are contained in a legal contract between the buyer and the seller, known as the indenture. A bond is defined as a long-term debt tool that pays the bondholder a specified amount of periodic interest over a specified period of time. In financial area, a bond is an instrument of obligation of the bond issuer to the holders. It is a debt security, under which the issuer owes the holders a debt and, depending on the terms of the bond, is obliged to pay them interest and/or to recompense the principal at a later date, called the maturity date. Interest is generally payable at fixed intervals such as semi-annual, annual, and monthly. Sometimes, the bond is negotiable, i.e. the ownership of the instrument can be relocated in the secondary market. This means that once the transfer agents at the bank medallion stamp the bond, it is highly liquid on the second market. It can be established that Bonds signify loans extended by investors to companies and/or the government. Bonds are issued by the debtor, and acquired by the lender. The legal contract underlying the loan is called a bond indenture. Normally, bonds are issued by public establishments, credit institutions, companies and supranational institutions in the major markets. Simple process for issuing bonds is through countersigning. When a bond issue is underwritten, one or more securities firms or banks, forming a syndicate, buy the whole issue of bonds from the issuer and re-sell them to investors. The security firm takes the risk of being unable to sell on the issue to end investors. Primary issuance is organised by book runners who arrange the bond issue, have direct contact with depositors and act as consultants to the bond issuer in terms of timing and price of the bond issue. The book runner is listed first among all underwriters participating in the issuance in the tombstone ads commonly used to announce bonds to the public. The bookrunners' willingness to underwrite must be discussed prior to any decision on the terms of the bond issue as there may be limited demand for the bonds. On the contrary, government bonds are generally issued in an auction. In some cases both members of the public and banks may bid for bonds. In other cases, only market makers may bid for bonds. The overall rate of return on the bond depends on both the terms of the bond and the price paid. The terms of the bond, such as the coupon, are fixed in advance and the price is determined by the market. Key features of Bonds Each bond can be characterized by several factors. These include: Face Value Coupon Rate Coupon Maturity Call Provisions Put Provisions Sinking Fund Provisions a) Face Value - The face value (also known as the par value) of a bond is the price at which the bond is sold to investors when first issued; it is also the price at which the bond is redeemed at maturity. In the U.S., the face value is usually $1,000 or a multiple of $1,000. b) Coupon Rate - The periodic interest payments promised to bond holders are computed as a fixed percentage of the bond’s face value; this percentage is known as the coupon rate. c) Coupon - A bond’s coupon is the dollar value of the periodic interest payment promised to bondholders; this equals the coupon rate times the face value of the bond. For example, if a bond issuer promises to pay an annual coupon rate of 5% to bond holders and the face value of the bond is $1,000, the bond holders are being promised a coupon payment of (0.05)($1,000) = $50 per year. d) Maturity - A bond’s maturity is the length of time until the principal is scheduled to be repaid. In the U.S., a bond’s maturity usually does not exceed 30 years. Occasionally a bond is issued with a much longer maturity; for example, the Walt Disney Company issued a 100-year bond in 1993. There have also been a few instances of bonds with an infinite maturity; these bonds are known as consols. With a consol, interest is paid forever, but the principal is never repaid. e) Call Provisions - Many bonds contain a provision that enables the issuer to buy the bond back from the bondholder at a pre-specified price prior to maturity. This price is known as the call price. A bond containing a call provision is said to be callable. This provision enables issuers to reduce their interest costs if rates fall after a bond is issued, since existing bonds can then be replaced with lower yielding bonds. Since a call provision is disadvantageous to the bond holder, the bond will offer a higher yield than an otherwise identical bond with no call provision. A call provision is known as an embedded option, since it can’t be bought or sold separately from the bond. f) Put Provisions - Some bonds contain a provision that enables the buyer to sell the bond back to the issuer at a pre-specified price prior to maturity. This price is known as the put price. A bond containing such a provision is said to be putable. This provision enables bond holders to benefit from rising interest rates since the bond can be sold and the proceeds reinvested at a higher yield than the original bond. Since a put provision is advantageous to the bond holder, the bond will offer a lower yield than an otherwise identical bond with no put provision. g) Sinking Fund Provisions - Some bonds are issued with a provision that requires the issuer to repurchase a fixed percentage of the outstanding bonds each year, regardless of the level of interest rates. A sinking fund reduces the possibility of default; default occurs when a bond issuer is unable to make promised payments in a timely manner. Since a sinking fund reduces credit risk to bond holders, these bonds can be offered with a lower yield than an otherwise identical bond with no sinking fund. Bond Valuation Valuation of a bond needs an estimate of predictable cash flows and a required rate of return specified by the investor for whom the bond is being valued. If it is being valued for the market, the markets expected rate of return is to be determined or estimated. The bond’s fair value is the present value of the promised future coupon and principal payments. At the time of issue, the coupon rate is set such that the fair value of the bonds is very close to its par value. Afterwards, as market conditions change, the fair value may differ from the par value. At the time of issue of the bond, the interest rate and other conditions of the bond would have been impacted by numerous factors, such as current market interest rates, the length of the term and the creditworthiness of the issuer. These factors are likely to change with time, so the market price of a bond will diverge after it is issued. The market price is expressed as a percentage of nominal value. Bonds are not necessarily issued at par (100% of face value, corresponding to a price of 100), but bond prices will move towards par as they approach maturity (if the market expects the maturity payment to be made in full and on time) as this is the price the issuer will pay to redeem the bond. This is termed as "Pull to Par". At other times, prices can be above par (bond is priced at greater than 100), which is called trading at a premium, or below par (bond is priced at less than 100), which is called trading at a discount. The market price of a bond is the present value of all expected future interest and principal payments of the bond discounted at the bond's yield to maturity, or rate of return. That relationship is the definition of the redemption yield on the bond, which is expected to be close to the current market interest rate for other bonds with similar characteristics. The yield and price of a bond are inversely related so that when market interest rates rise, bond prices fall and vice versa. The market price of a bond may be cited including the accumulated interest since the last coupon date. The price including accrued interest is known as the "full" or "dirty price". The price excluding accrued interest is known as the "flat" or "clean price". The interest rate divided by the current price of the bond is termed as current yield. This is the nominal yield multiplied by the par value and divided by the price. There are other yield measures that exist such as the yield to first call, yield to worst, yield to first par call, yield to put, cash flow yield and yield to maturity. The link between yield and term to maturity for otherwise identical bonds is called a yield curve. The yield curve is a graph plotting this relationship. Bond markets, dissimilar to stock or share markets, sometimes do not have a centralized exchange or trading system. Reasonably, in developed bond markets such as the U.S., Japan and Western Europe, bonds trade in decentralized, dealer-based over-the-counter markets. In such a market, market liquidity is offered by dealers and other market contributors committing risk capital to trading activity. In the bond market, when an investor buys or sells a bond, the counterparty to the trade is almost always a bank or securities firm which act as a dealer. In some cases, when a dealer buys a bond from an investor, the dealer carries the bond "in inventory", i.e. holds it for his own account. The dealer is then subject to risks of price fluctuation. In other cases, the dealer instantly resells the bond to another investor. Bond markets can also diverge from stock markets in respect that in some markets, investors sometimes do not pay brokerage commissions to dealers with whom they buy or sell bonds. Rather, the dealers earn income through the spread, or difference, between the prices at which the dealer buys a bond from one investor the "bid" price and the price at which he or she sells the same bond to another investor the "ask" or "offer" price. The bid/offer spread signifies the total transaction cost associated with transferring a bond from one investor to another. Basically, the value of a bond is the present value of all the future interest payments and the maturity value, discounted at the required return on bond commensurate with the prevailing interest rate and risk. Where: Interest 1 to n = Interests in periods 1 to n. Unless otherwise mentioned, the maturity value of the bond is the face value. 1. When the required rate of return is equal to the coupon rate, the bond value equals the par value. 2. When the required rate of return is more than the coupon rate, the bond value would be less than its par value. The bond in this case would sell at a discount. 3. When the required rate of return is less than the coupon rate, the bond value would be more than its par value. The bond in this case would sell at a premium. Illustration: Let us assume the face value of the bond is $1,000 (maturity value $1,000). The bond has a 10% coupon rate payable semi-annually and the yield to maturity (return) is 9%. The bond matures in 5 years period from now. What is the value of the bond? Interest 1 till 10 = $50 per semi-annual period. ($100 annually) n=10 because 5 years x 2 payments per period. Yield to maturity = 9%, therefore, semi-annual YTM (return ) =9/2 = 4.5% or 0.045 Solving for the above Bond price = $1,040 (rounded) equation, we get Shares In financial markets, a share is described as a unit of account for different investments. It is also explained as the stock of a company, but is also used for collective investments such as mutual funds, limited partnerships, and real estate investment trusts. The phrase 'share' is delineated by section 2(46) of the Companies Act 1956 as "share means a share in the share capital of a company includes stock except where a distinction between stock and share is expressed or implied". Companies issue shares which are accessible for sale to increase share capital. The owner of shares in the company is a shareholder (or stockholder) of the corporation. A share is an indivisible unit of capital, expressing the ownership affiliation between the company and the shareholder. The denominated value of a share is its face value, and the total of the face value of issued shares represent the capital of a company, which may not reflect the market value of those shares. The revenue generated from the ownership of shares is a dividend. The process of purchasing and selling shares often involves going through a stockbroker as a middle man. Share valuation: Shares valuation is done according to numerous principles in different markets, but a basic standard is that a share is worth price at which a transaction would be expected to occur to sell the shares. The liquidity of markets is a major consideration as to whether a share is able to be sold at any given time. An actual sale transaction of shares between buyer and seller is usually considered to provide the best prima facie market indicator as to the "true value" of shares at that specific time. Shares are often promised as security for raising loans. When one company acquires majority of the shares of another company, it is required to value such shares. The survivors of deceased person who get some shares of company made by will. When shares are held by the associates mutually in a company and dissolution takes place, it is important to value the shares for proper distribution of partnership property among the partners. Shares of private companies are not listed on the stock exchange. If such shares are appraisable by the shareholders or if such shares are to be sold, the value of such shares will have to be determined. When shares are received as a gift, to determine the Gift Tax & Wealth Tax, the value of such shares will have to be ascertained. Values of shares: 1. Face Value: A Company may divide its capital into shares of @10 or @50 or @100 etc. Company’s share capital is presented as per Face Value of Shares. Face Value of Share = Share Capital / Total No of Share. This Face Value is printed on the share certificate. Share may be issued at less (or discount) or more (or premium) of face value. 2. Book Value: Book value is the value of an asset according to its balance sheet account balance. For assets, the value is based on the original cost of the asset less any devaluation, amortization or impairment costs made against the asset. 3. Cost Value: Cost value is represented as price on which the shares are purchased with purchase expenses such as brokerage, commission. 4. Market Value: This values is signified as price on which the shares are purchased or sold. This value may be more or less or equal than face value. 5. Capitalised Value: Capitalised Value of profit Capitalised Value of= ------------------------------------share Total no. of shares 1. Fair Value: This value is the price of a share which agreed in an open and unrestricted market between well-informed and willing parties dealing at arm’s length who are fully informed and are not under any compulsion to transact. 2. Yield Value: This value of a share is also called Capitalised value of Earning Capacity. Normal rate of return in the industry and actual or expected rate of return of the firm are taken into consideration to find out yield value of a share. Need for Valuation: 1. When two or more companies merge 2. When absorption of a company takes place. 3. When some shareholders do not give their approval for reconstruction of the company, there shares are valued for the purpose of acquisition. 4. When shares are held by the associates jointly in a company and dissolution takes place, it becomes essential to value the shares for proper distribution of partnership property among the partners. 5. When a loan is advanced on the security of shares. 6. When shares of one type are converted in to shares of another type. 7. When some company is taken over by the government, compensation is paid to the shareholders of such company and in such circumstances, valuation of shares is made. 8. When a portion of shares is to be given by a member of proprietary company to another member, fair price of these shares has to be made by an auditor or accountant. Methods of valuation: 1. Net Assets Value (NAV) Method: This method is called intrinsic value method or breakup value method (Naseem Ahmed, 2007). It aims to find out the possible value of share in at the time of liquidation of the company. It starts with calculation of market value of the company. Then amount pay off to debenture holders, preference shareholders, creditors and other liabilities are deducted from the realized amount of assets. The remaining amount is available for equity shareholders. Under this method, the net value of assets of the company are divided by the number of shares to arrive at the value of each share. For the determination of net value of assets, it is necessary to estimate the worth of the assets and liabilities. The goodwill as well as nontrading assets should also be included in total assets. The following points should be considered while valuing of shares according to this method: o o o o o o o Goodwill must be properly valued The fictitious assets such as preliminary expenses, discount on issue of shares and debentures, accumulated losses etc. should be eliminated. The fixed assets should be taken at their realizable value. Provision for bad debts, depreciation etc. must be considered. All unrecorded assets and liabilities (if any) should be considered. Floating assets should be taken at market value. The external liabilities such as sundry creditors, bills payable, loan, debentures etc. should be deducted from the value of assets for the determination of net value. The net value of assets, determined so has to be divided by number of equity shares for finding out the value of share. Thus the value per share can be determined by using the following formula: Value Per Share= (Net Assets-Preference Capital)/Number Of Equity Shares Share Net asset method is useful in case of amalgamation, merger, acquisition, or any other form of liquidation of a company. This method determines the rights of various types of shares in an efficient manner. Since all the assets and liabilities are values properly including ambiguous and intangibles, this method creates no problem for valuation of preference or equity share. However it is difficult to make proper valuation of good will and estimate net realisation value of various other assets of the company. Such estimates are likely to be influenced by personal factors of valuers. This method is suitable in case of companies likely to be liquidated in near future or future maintainable profits cannot be estimated properly or where valuation of shares by this method is required statutorily (Naseem Ahmed, 2007). 2. Yield-Basis Method: Yield is the effective rate of return on investments which is invested by the investors. It is always expressed in terms of percentage. Since the valuation of shares is made on the basis of Yield, it is termed as YieldBasis Method. Yield may be calculated as under: Normal profit Yield = -------------------------------------X 100 Capital Employed Under Yield-Basis method, valuation of shares is made on; I. Profit Basis: Under this method, profit should be determined on the basis of past average profit; subsequently, capitalized value of profit is to be determined on the basis of normal rate of return, and, the same (capitalized value of profit) is divided by the number of shares in order to find out the value of each share. Following procedure is adopted: Profit Capitalised value of= ---------------------------X 100 profit Normal return rate of Capitalised value of profit Value of each equity= share ------------------------------------Number of shares Profit Or, Value of equity share each= -------------------------------------X 100 Normal rate of return X Number of equity shares II. Dividend Basis: In this type of valuation, shares are valued on the basis of expected dividend and normal rate of return. The value per share is calculated through following formula: Expected rate of dividend = (profit available dividend/paid up equity share capital) X 100 for Value per share = (Expected rate of dividend/normal rate of return) X 100 Valuation of shares may be made either (a) on the basis of total amount of dividend, or (b) on the basis of percentage or rate of dividend 3. Earning Capacity (Capitalisation) Method: In this valuation procedure, the value per share is calculated on the basis of disposable profit of the company. The disposable profit is found out by deducting reserves and taxes from net profit (Naseem Ahmed, 2007). The following steps are applied for the determination of value per share under earning capacity: Step 1: To find out the profit available for dividend Step 2: To find out the capitalized value Capitalized Value = (Profit available for equity dividend/Normal rate of return) X 100 Step 3: To find out value per share Value per share = Capitalized Value/Number of Shares In this method, profit available for equity shareholders, as calculated under capitalization method, are capitalized on the basis of normal rate of return. Then the value of equity share is ascertained by dividing the capitalized profit by number of equity share as shown under (Naseem Ahmed, 2007): Appraisal of Earning Capacity: This method is suited only when maintainable profit and normal rate of return (NRR) can be ascertained clearly. It is possible when market information is easily available. However, while calculating NRR, risk factors must be taken into consideration (Naseem Ahmed, 2007). 4. Average (Fair Value) Method: In order to overcome the inadequacy of any single method of valuation of shares, Fair Value Method of shares is considered as the most appropriate process. It is simply an average of intrinsic value and yield value or earning capacity method. For valuing shares of investment companies for wealth tax purposes, Fair Value Method of shares is recognized by government. It is well suited to manufacturing and other companies. The fair value can be calculated by following formula (Naseem Ahmed, 2007): To summarize, bonds and their alternatives such as loan notes, debentures and loan stock, are IOUs issued by governments and companies in order to increase finance. They are often called fixed income or fixed interest securities, to differentiate them from equities, in that they often make known returns for the investors (the bond holders) at regular intervals. These interest payments, paid as bond coupons, are fixed, unlike dividends paid on equities, which can be variable. Most corporate bonds are redeemable after a specified period of time. Valuation of share involves the use of financial and accounting data. It depends on valuer’s judgement experience and knowledge. Cash Flow Statement Cash Flow Statement also known as Statement of Cash Flows is a statement which shows theChanges in the Cash Position of an organisation between 2 periods. Along with showing the changes in the Cash Position of an organisation, it also depicts the reasons for such change during the period. The main reason for the preparation of the Cash Flow Statement is that the Income Statement of an enterprise is always prepared on an Accrual Basis and it may show profits in the Income Statement but the Cash received out of these profits may be low to run the business or vice-versa. Preparation of cash flow statement Cash Flows Statement is required to be prepared using International Accounting Standard 7 (or using the Accounting Standard 3 in India). While preparing the Cash Flow Statement, the cash flows during the period are classified into 3 major categories: 1) Cash Flow from Operating Activities (Direct Method/ Indirect Method) 2) Cash Flow from Investing Activities 3) Cash Flow from Financing Activities Classification by activities provides information that allows users to assess the impact of those activities on the financial position of the enterprise. This information also helps in evaluating the inter-relationships between these activities. Cash Flows from Operating Activities Cash Flows from operating Activities are primarily derived from the Principal Revenue-producing activities of the enterprise. 1. Direct Method 2. Indirect Method 1. Direct Method While preparing the Cash Flow Statement as per Direct Method, Actual Cash Receipts from Operating Revenues and Actual Cash Payments for Operating Activities are arranged and presented in the Cash Flow Statement. The difference between Cash Receipts and Cash Payments is the Net Cash Flow from Operating Activities under the Direct Method. In other words, it is a Income Statement (Profit & Loss A/c) prepared on Cash Basis under the Direct Method. While preparing the Cash Flow Statement as per Direct Method, items like Depreciation, Amortisation of Intangible Assets, Preliminary Expenses, Debenture Discount etc are ignored fromCash Flow Statement since the Direct Method includes only Cash Transactions and Non-Cash Transactions are omitted. Likewise, no adjustment is made for Loss/Gain on the Sale of Fixed Assets and Investments while preparing the Cash Flow Statement as per the Direct Method. Format for Computation of Cash Flows from Operating Activities as per Direct Method Particulars Amount Cash Receipts from Customers xxx Cash Paid to suppliers and (xxx) employees Cash generated from Operations xxx Income Tax Paid (xxx) Cash Flow before Extra-ordinary xxx Items Extra-ordinary items xxx Net Cash from Operating Activities xxx (Direct Method) 2. Indirect Method While preparing the Cash Flow Statement as per the Indirect Method, the Net Profit/Loss for the period is used as the base and then adjustments are made for items that affected the Income Statement but did not affect the Cash While preparing the Cash Flow Statement as per the Indirect Method, Non Cash and Non Operating charges in the Income Statement are added back to the Net Profits while Non-Cash & Non-Operating Credits are deducted to calculate the Operating Profit before Working CapitalChanges. The Indirect Method of preparing of Cash Flow Statement is a partial conversion of accrual basis profit to Cash basis profit. Further, necessary adjustments are made for Increase/Decrease in Current Assets and Current Liabilities to obtain Net Cash Flows from Operating Activities as per the Indirect Method. Format of Cash Flows from Operating Activities – Indirect Method Particulars Net Profit before Tax and Extraordinary items Adjustments for - Depreciation - Foreign Exchange - Investments - Gain or Loss on Sale of Fixed Assets - Interest Dividend Operating Profit before Working Capital Changes Adjustments for - Trade and Other Receivables - Inventories - Trade Payable Cash generated from Operations - Interest Paid - Direct Taxes Cash before Extra-Ordinary Items Deferred Revenue Amount xxx xxx xxx xxx xxx xxx xxx xxx xxx xxx xxx (xxx) (xxx) xxx xxx Net Cash Flow from Operating Activities (Indirect Method) xxx Cash Flow from Investing Activities The activities of Acquisition and Disposal of Long Term Assets and other Investments not included in cash equivalents are Investing activities. Separate disclosure of Cash Flows arising from Investing Activities is important because the Cash Flows represent the extent to which expenditures have been made for resources intended to generate future income and cash flows. Format of Cash Flow from Investing Activities:Particulars Amount Purchase of Fixed Assets (xxx) (Add) Proceeds from Sale of xxx Fixed Assets (Add) Interest received xxx (Add) Dividend received xxx Net Cash Flow from Investing xxx Activities Cash Flows from Financing Activities Financing Activities are those activities which result in a change in the size and composition of owner’s capital and borrowing of the organisation. The separate disclosure of cash flows arising from financing activities is important because it is useful in predicting the claims on future cash flows by the providers of funds. Format of Cash Flow from Financing Activities:Particulars Amount Proceeds from Issue of Share xxx Capital Proceeds from Long Term xxx Borrowings Repayment of Long Term (xxx) Borrowings Interest Paid (xxx) Dividend Paid (xxx) Net Cash Flows from Financing xxx Activities The Comprehensive Format of the complete Cash Flow Statement is as follows:Particulars Cash flow from Operating Activities (Direct Method/ Indirect Method) (Add) Cash Flow from Investing Activities (Add) Cash Flow from Financing Activities (=)Net Increase/Decrease in Cash Amount Xxx Xxx Xxx Xxx (Add) Opening Balance of Cash & Cash Equivalents (=) Closing Balance of Cash & Cash Equivalents Xxx Xxx Financial Statement Analysis The analysis of the data available from Profit and loss A/c, B/s and by making the group of related data is known as Financial Statement Analysis. Financial statement analysis is the process of reviewing and evaluating a company's financial statements (such as the balance sheet or profit and loss statement), thereby gaining an understanding of the financial health of the company and enabling more effective decision making. Financial statements record financial data; however, this information must be evaluated through financial statement analysis to become more useful to investors, shareholders, managers and other interested parties. Financial Statements Financial statement analysis allows analysts to identify trends by comparing ratios across multiple time periods and statement types. These statements allow analysts to measure liquidity, profitability, company-wide efficiency and cash flow. There are three main types of financial statements: the balance sheet, income statement and cash flow statement. The balance sheet is a snapshot in time of the company's assets, liabilities and shareholders' equity. Analysts use the balance sheet to analyze trends in assets and debts. The income statement begins with sales and ends with net income. It also provides analysts with gross profit, operating profit and net profit. Each of these is divided by sales to determine gross profit margin, operating profit margin and net profit margin. The cash flow statement provides an overview of the company's cash flows from operating activities, investing activities and financing activities. Financial Statement Analysis Each financial statement provides multiple years of data. Used together analysts can track performance measures across financial statements using several different methods for financial statement analysis, including vertical and horizontal analysis. An example of vertical analysis is when each line item on the financial statement is listed as a percentage of another. Horizontal analysis compares line items in each financial statement against previous time periods. In ratio analysis, line items from one financial statement are compared with line items from another. For example, many analysts like to know how many times a company can pay off debt with current earnings. Analysts can do this by dividing debt, which comes from the balance sheet, by net income, which comes from the income statement. Likewise, return on assets (ROA) and the return on equity (ROE) compare company net income found on the income statement with assets and stockholders' equity as found on the balance sheet. Objectives 1. Assessment of past performance Past performance is a good indicator of future performance. Investors or creditors are interested in the trend of past sales, cost of good sold, operating expenses, net income, cash flows and return on investment. These trends offer a means for judging management's past performance and are possible indicators of future performance. 2. Assessment of current position Financial statement analysis shows the current position of the firm in terms of the types of assets owned by a business firm and the different liabilities due against the enterprise. 3. Prediction of profitability and growth prospects Financial statement analysis helps in assessing and predicting the earning prospects and growth rates in earning which are used by investors while comparing investment alternatives and other users in judging earning potential of business enterprise. 4. Prediction of bankruptcy and failure Financial statement analysis is an important tool in assessing and predicting bankruptcy and probability of business failure. 5. Assessment of the operational efficiency Financial statement analysis helps to assess the operational efficiency of the management of a company. The actual performance of the firm which are revealed in the financial statements can be compared with some standards set earlier and the deviation of any between standards and actual performance can be used as the indicator of efficiency of the management. Types of financial statement analysis Financial statement analysis are classified according to their objectives, Materials used and Modus operandi. Financial statement analysis, according to objectives are further subdivided into Short term and long term. Short term analysis include i. Working capital position analysis, ii. Liquidity analysis, iii. Return analysis, iv. Profitability analysis, v. Activity analysis. Long term analysis include i. Profitability analysis, ii. Capital structure analysis, iii. Financial position, iv. Future prospects. Financial statement analysis according to materials used include Internal and External analysis. Financial statement analysis according to modus operandi include Horizontal and vertical analysis. They are briefly explained below. 1. Internal Analysis Internal analysis is made by the top management executives with the help of Management Accountant. The finance and accounting department of the business concern have direct approach to all the relevant financial records. Such analysis emphasis on the overall performance of the business concern and assessing the profitability of various activities and operations. 2. External Analysis Shareholders as investors, banks, financial institutions, material suppliers, government department and tax authorities and the like are doing the external analysis. They are fully depending upon the published financial statements. The objective of analysis is varying from one party to another. 3. Short Term Analysis The short term analysis of financial statement is primarily concerned with the working capital analysis so that a forecast may be made of the prospects for future earnings, ability to pay interest, debt maturities – both current and long term and probability of a sound dividend policy. A business concern has enough funds in hand to meet its current needs and sufficient borrowing capacity to meet its contingencies. In this aspect, the liquidity position of the business concern is determined through analyzing current assets and current liabilities. Hence, ratio analysis is highly useful for short term analysis. 4. Long Term Analysis There must be a minimum rate of return on investment. It is necessary for the growth and development of the company and to meet the cost of capital. Financial planning is also necessary for the continued success of a company. The fixed assets structure, leverage analysis, ownership pattern of securities and the like are made in the long term analysis. 5. Horizontal Analysis It is otherwise called as dynamic analysis. When financial statements for a number of years are viewed and analyzed, the analysis is called horizontal analysis. The preparation of comparative statements is an example of this type of analysis. 6. Vertical Analysis It is otherwise called as static analysis. Under this type of analysis, the ratios are calculated from the balance sheet of one year and/or from the profit and loss account of one year. It is used for short term analysis only. Tools and techniques of FSA Important tools or techniques of financial statement analysis are as follows. 1. Comparative Statement or Comparative Financial and Operating Statements. 2. Common Size Statements. 3. Trend Ratios or Trend Analysis. 4. Average Analysis. 5. Statement of Changes in Working Capital. 6. Fund Flow Analysis. 7. Cash Flow Analysis. 8. Ratio Analysis. 9. Cost Volume Profit Analysis 1. Comparative Statement Analysis (Horizontal Analysis) As the name suggests, comparative analysis provides a yearon-year review of the various financial statements. For example, in the Income Statement, the Sales figure may be compared over a period of consecutive years to understand how the sales figures have grown (or declined) over the year. It should be noted that horizontal analysis compares the internal performance of the company. Below is an example of a Comparative Income Statement. Comparative Income Statement (All figures are in INR ‘000) 2. Common Size Statement Analysis (Vertical Analysis) Vertical analysis is applicable for internal performance review as well as for comparison to peers and benchmarking. In vertical analysis all the items in a particular statement are represented as a percentage of a particular item. For example, Operating Expenses, Depreciation, Amortization, Profit before tax, Tax, Profit after tax, etc. may be represented as a percentage of Sales in the Income Statement. Common standard base can easily reveal the internal make-up of financial statements and any proportionate increase and decrease of the same. Vertical analysis is also put to use for comparison across companies as financial statements are converted to common-size format, which can then be used to compare with competitor or industry averages, highlighting key differences which can then be analyzed. Below is an example of a Common Size Income Statement. Values are expressed as %age of Revenue. 3. Trend Analysis The ratios of different items for various periods are find out and then compared under this analysis. The analysis of the ratios over a period of years gives an idea of whether the business concern is trending upward or downward. This analysis is otherwise called as Pyramid Method. Whenever, the trend ratios are calculated for a business concern, such ratios are compared with industry average. These both trends can be presented on the graph paper also in the shape of curves. This presentation of facts in the shape of pictures makes the analysis and comparison more comprehensive and impressive. 4. Ratio Analysis Ratio analysis is an attempt of developing meaningful relationship between individual items (or group of items) in the balance sheet or profit and loss account. Ratio analysis is not only useful to internal parties of business concern but also useful to external parties. Ratio analysis highlights the liquidity, solvency, profitability and capital gearing. There are several general categories of ratios, each designed to examine a different aspect of a company's performance. The general groups of ratios are: o o o o o o i) Liquidity ratios - This is the most fundamentally important set of ratios, because they measure the ability of a company to remain in business. Click the following links for a thorough review of each ratio. Cash coverage ratio. Shows the amount of cash available to pay interest. Current ratio. Measures the amount of liquidity available to pay for current liabilities. Quick ratio. The same as the current ratio, but does not include inventory. Liquidity index. Measures the amount of time required to convert assets into cash. ii) Activity ratios - These ratios are a strong indicator of the quality of management, since they reveal how well management is utilizing company resources. Click the following links for a thorough review of each ratio. Accounts payable turnover ratio. Measures the speed with which a company pays its suppliers. Accounts receivable turnover ratio. Measures a company's ability to collect accounts receivable. Fixed asset turnover ratio. Measures a company's ability to generate sales from a certain base of fixed assets. o Inventory turnover ratio. Measures the amount of inventory needed to support a given level of sales. o Sales to working capital ratio. Shows the amount of working capital required to support a given amount of sales. o Working capital turnover ratio. Measures a company's ability to generate sales from a certain base of working capital. iii) Leverage ratios. These ratios reveal the extent to which a company is relying upon debt to fund its operations, and its ability to pay back the debt. Click the following links for a thorough review of each ratio. o Debt to equity ratio. Shows the extent to which management is willing to fund operations with debt, rather than equity. o Debt service coverage ratio. Reveals the ability of a company to pay its debt obligations. o Fixed charge coverage. Shows the ability of a company to pay for its fixed costs. iv) Profitability ratios. These ratios measure how well a company performs in generating a profit. Click the following links for a thorough review of each ratio. o Breakeven point. Reveals the sales level at which a company breaks even. o Contribution margin ratio. Shows the profits left after variable costs are subtracted from sales. o Gross profit ratio. Shows revenues minus the cost of goods sold, as a proportion of sales. o Margin of safety. Calculates the amount by which sales must drop before a company reaches its break even point. o Net profit ratio. Calculates the amount of profit after taxes and all expenses have been deducted from net sales. o Return on equity. Shows company profit as a percentage of equity. o o o Return on net assets. Shows company profits as a percentage of fixed assets and working capital. Return on operating assets. Shows company profit as percentage of assets utilized. 4. Fund Flow Analysis Fund flow analysis deals with detailed sources and application of funds of the business concern for a specific period. It indicates where funds come from and how they are used during the period under review. It highlights the changes in the financial structure of the company. 7. Cash Flow Analysis Cash flow analysis is based on the movement of cash and bank balances. In other words, the movement of cash instead of movement of working capital would be considered in the cash flow analysis. There are two types of cash flows. They are actual cash flows and notional cash flows. 9. Cost Volume Profit Analysis This analysis discloses the prevailing relationship among sales, cost and profit. The cost is divided into two. They are fixed cost and variable cost. There is a constant relationship between sales and variable cost. Cost analysis enables the management for better profit planning. Cost Volume Profit Analysis Definition: The cost volume profit analysis, commonly referred to as CVP, is a planning process that management uses to predict the future volume of activity, costs incurred, sales made, and profits received. In other words, it’s a mathematical equation that computes how changes in costs and sales will affect income in future periods. The CVP analysis classifies all costs as either fixed or variable. Fixed costs are expenses that don’t fluctuate directly with the volume of units produced. These costs effectively remain constant. An example of a fixed cost is rent. It doesn’t matter how many units the assembly line produces. The rent expense will always be the same. For example, a bike factory would classify bicycle tire costs as a variable cost. Every bike that is produced must have two tires. The more units produced, the more tire costs increase. The CVP analysis uses these two costs to plot out production levels and the income associated with each level. As production levels increase, the fixed costs become a smaller percentage of total income while variable costs remain a constant percentage. Cost accountants and management analyze these trends in an effort to predict what costs, sales, and profits the company will have in the future. They also use cost volume profit analysis to calculate the break-even point in production processes and sales. The break-even point is drawn on the CVP graph where the sales, fixed costs, and variable costs’ lines all intersect. This is a key concept because it shows management that the revenue from a project will be able to cover all the costs associated with it. Using a variation of the CVP, management can calculate the break-even point in profits, units, and even dollars. Cost-volume-profit (CVP) analysis is used to determine how changes in costs and volume affect a company's operating income and net income. In performing this analysis, there are several assumptions made, including: Sales price per unit is constant. Variable costs per unit are constant. Total fixed costs are constant. Everything produced is sold. Costs are only affected because activity changes. If a company sells more than one product, they are sold in the same mix. CVP analysis requires that all the company's costs, including manufacturing, selling, and administrative costs, be identified as variable or fixed. Contribution margin and contribution margin ratio Key calculations when using CVP analysis are the contribution margin and the contribution margin ratio. The contribution margin represents the amount of income or profit the company made before deducting its fixed costs. Said another way, it is the amount of sales dollars available to cover (or contribute to) fixed costs. When calculated as a ratio, it is the percent of sales dollars available to cover fixed costs. Once fixed costs are covered, the next dollar of sales results in the company having income. The contribution margin is sales revenue minus all variable costs. It may be calculated using dollars or on a per unit basis. If The Three M's, Inc., has sales of $750,000 and total variable costs of $450,000, its contribution margin is $300,000. Assuming the company sold 250,000 units during the year, the per unit sales price is $3 and the total variable cost per unit is $1.80. The contribution margin per unit is $1.20. The contribution margin ratio is 40%. It can be calculated using either the contribution margin in dollars or the contribution margin per unit. To calculate the contribution margin ratio, the contribution margin is divided by the sales or revenues amount. Break-even point The break‐even point represents the level of sales where net income equals zero. In other words, the point where sales revenue equals total variable costs plus total fixed costs, and contribution margin equals fixed costs. Using the previous information and given that the company has fixed costs of $300,000, the break‐even income statement shows zero net income. This income statement format is known as the contribution margin income statement and is used for internal reporting only. The $1.80 per unit or $450,000 of variable costs represent all variable costs including costs classified as manufacturing costs, selling expenses, and administrative expenses. Similarly, the fixed costs represent total manufacturing, selling, and administrative fixed costs. Break‐even point in dollars. The break‐even point in sales dollars of $750,000 is calculated by dividing total fixed costs of $300,000 by the contribution margin ratio of 40%. Another way to calculate break‐even sales dollars is to use the mathematical equation. In this equation, the variable costs are stated as a percent of sales. If a unit has a $3.00 selling price and variable costs of $1.80, variable costs as a percent of sales is 60% ($1.80 ÷ $3.00). Using fixed costs of $300,000, the break‐even equation is shown below. The last calculation using the mathematical equation is the same as the break‐even sales formula using the fixed costs and the contribution margin ratio previously discussed in this chapter. Break‐even point in units. The break‐even point in units of 250,000 is calculated by dividing fixed costs of $300,000 by contribution margin per unit of $1.20. The break‐even point in units may also be calculated using the mathematical equation where “X” equals break‐even units. Again it should be noted that the last portion of the calculation using the mathematical equation is the same as the first calculation of break‐even units that used the contribution margin per unit. Once the break‐even point in units has been calculated, the break‐even point in sales dollars may be calculated by multiplying the number of break‐even units by the selling price per unit. This also works in reverse. If the break‐even point in sales dollars is known, it can be divided by the selling price per unit to determine the break‐even point in units. Targeted income CVP analysis is also used when a company is trying to determine what level of sales is necessary to reach a specific level of income, also called targeted income. To calculate the required sales level, the targeted income is added to fixed costs, and the total is divided by the contribution margin ratio to determine required sales dollars, or the total is divided by contribution margin per unit to determine the required sales level in units. Using the data from the previous example, what level of sales would be required if the company wanted $60,000 of income? The $60,000 of income required is called the targeted income. The required sales level is $900,000 and the required number of units is 300,000. Why is the answer $900,000 instead of $810,000 ($750,000 [break‐even sales] plus $60,000)? Remember that there are additional variable costs incurred every time an additional unit is sold, and these costs reduce the extra revenues when calculating income. This calculation of targeted income assumes it is being calculated for a division as it ignores income taxes. If a targeted net income (income after taxes) is being calculated, then income taxes would also be added to fixed costs along with targeted net income. Assuming the company has a 40% income tax rate, its break‐even point in sales is $1,000,000 and break‐even point in units is 333,333. The amount of income taxes used in the calculation is $40,000 ([$60,000 net income ÷ (1 – .40 tax rate)] – $60,000). A summarized contribution margin income statement can be used to prove these calculations. Capital Budgeting Capital budgeting is the process of analyzing the effectiveness of projects on hand based on capital required for investment and forecasting the future earnings from the projects. It is a process used by companies for evaluating and ranking potential expenditures or investments that are significant in amount. The large expenditures could include the purchase of new equipment, rebuilding existing equipment, purchasing delivery vehicles, constructing additions to buildings, etc. The large amounts spent for these types of projects are known as capital expenditures. Capital budgeting usually involves the calculation of each project's future accounting profit by period, the cash flow by period, the present value of the cash flows after considering the time value of money, the number of years it takes for a project's cash flow to pay back the initial cash investment, an assessment of risk, and other factors. Capital budgeting is a tool for maximizing a company's future profits since most companies are able to manage only a limited number of large projects at any one time. Process of capital budgeting There are five steps of capital budgeting process. A) Project identification and generation: The first step towards capital budgeting is to generate a proposal for investments. There could be various reasons for taking up investments in a business. It could be addition of a new product line or expanding the existing one. It could be a proposal to either increase the production or reduce the costs of outputs. B) Project Screening and Evaluation: This step mainly involves selecting all correct criteria’s to judge the desirability of a proposal. This has to match the objective of the firm to maximize its market value. The tool of time value of money comes handy in this step. Also the estimation of the benefits and the costs needs to be done. The total cash inflow and outflow along with the uncertainties and risks associated with the proposal has to be analyzed thoroughly and appropriate provisioning has to be done for the same. C) Project Selection: There is no such defined method for the selection of a proposal for investments as different businesses have different requirements. That is why, the approval of an investment proposal is done based on the selection criteria and screening process which is defined for every firm keeping in mind the objectives of the investment being undertaken. Once the proposal has been finalized, the different alternatives for raising or acquiring funds have to be explored by the finance team. This is called preparing the capital budget. The average cost of funds has to be reduced. A detailed procedure for periodical reports and tracking the project for the lifetime needs to be streamlined in the initial phase itself. The final approvals are based on profitability, Economic constituents, viability and market conditions. D) Implementation: Money is spent and thus proposal is implemented. The different responsibilities like implementing the proposals, completion of the project within the requisite time period and reduction of cost are allotted. The management then takes up the task of monitoring and containing the implementation of the proposals. E) Performance review: The final stage of capital budgeting involves comparison of actual results with the standard ones. The unfavorable results are identified and removing the various difficulties of the projects helps for future selection and execution of the proposals. Techniques of capital budgeting Traditional Modern (Considering Time Value Of Money Capital budgeting consists of various techniques used by managers such as: 1. 2. 3. 4. 5. 6. Payback Period Discounted Payback Period Net Present Value Accounting Rate of Return Internal Rate of Return Profitability Index All of the above techniques are based on the comparison of cash inflows and outflow of a project however they are substantially different in their approach. A brief introduction to the above methods is given below: Payback Period measures the time in which the initial cash flow is returned by the project. Cash flows are not discounted. Lower payback period is preferred. Net Present Value (NPV) is equal to initial cash outflow less sum of discounted cash inflows. Higher NPV is preferred and an investment is only viable if its NPV is positive. Accounting Rate of Return (ARR) is the profitability of the project calculated as projected total net income divided by initial or average investment. Net income is not discounted. Internal Rate of Return (IRR) is the discount rate at which net present value of the project becomes zero. Higher IRR should be preferred. Profitability Index (PI) is the ratio of present value of future cash flows of a project to initial investment required for the project. The above techniques are explained in detail one by one as follows: 1. Pay Back Period Payback period is the time in which the initial cash outflow of an investment is expected to be recovered from the cash inflows generated by the investment. It is one of the simplest investment appraisal techniques. Formula: The formula to calculate payback period of a project depends on whether the cash flow per period from the project is even or uneven. In case they are even, the formula to calculate payback period is: Initial Investment Payback Period = ---------------------------------Cash Inflow per Period When cash inflows are uneven, we need to calculate the cumulative net cash flow for each period and then use the following formula for payback period: Payback Period = A +B/C In the above formula, A is the last period with a negative cumulative cash flow; B is the absolute value of cumulative cash flow at the end of the period A; C is the total cash flow during the period after A Both of the above situations are applied in the following examples. Decision Rule Accept the project only if its payback period is LESS than the target payback period. Examples - Example 1: Even Cash Flows Company C is planning to undertake a project requiring initial investment of $105 million. The project is expected to generate $25 million per year for 7 years. Calculate the payback period of the project. Solution Payback Period = Initial Investment ÷ Annual Cash Flow = $105M ÷ $25M = 4.2 years Example 2: Uneven Cash Flows Company C is planning to undertake another project requiring initial investment of $50 million and is expected to generate $10 million in Year 1, $13 million in Year 2, $16 million in year 3, $19 million in Year 4 and $22 million in Year 5. Calculate the payback value of the project. Solution (cash flows in millions)Cumulative Year Cash Flow Cash Flow 0 (50) (50) 1 10 (40) 2 13 (27) 3 16 (11) 4 19 8 5 22 30 Payback Period = 3 + (|-$11M| ÷ $19M) = 3 + ($11M ÷ $19M) ≈ 3 + 0.58 ≈ 3.58 years Advantages and Disadvantages Advantages of payback period are: o Payback period is very simple to calculate. o It can be a measure of risk inherent in a project. Since cash flows that occur later in a project's life are considered more uncertain, payback period provides an indication of how certain the project cash inflows are. o For companies facing liquidity problems, it provides a good ranking of projects that would return money early. Disadvantages of payback period are: o Payback period does not take into account the time value of money which is a serious drawback since it can lead to wrong decisions. A variation of payback method that attempts to remove this drawback is called discounted payback period method. o It does not take into account, the cash flows that occur after the payback period. 2. Discounted Pay Back Period One of the major disadvantages of simple payback period is that it ignores the time value of money. To counter this limitation, an alternative procedure called discounted payback period may be followed, which accounts for time value of money by discounting the cash inflows of the project. Formulas and Calculation Procedure In discounted payback period we have to calculate the present value of each cash inflow taking the start of the first period as zero point. For this purpose the management has to set a suitable discount rate. The discounted cash inflow for each period is to be calculated using the formula: Discounted Cash Inflow = Actual Cash Inflow (1 + i)n Where, i is the discount rate; n is the period to which the cash inflow relates. Usually the above formula is split into two components which are actual cash inflow and present value factor ( i.e. 1 / ( 1 + i )^n ). Thus discounted cash flow is the product of actual cash flow and present value factor. The rest of the procedure is similar to the calculation of simple payback period except that we have to use the discounted cash flows as calculated above instead of actual cash flows. The cumulative cash flow will be replaced by cumulative discounted cash flow. Discounted PayBack period = A + B / C Where, A = Last period with a negative discounted cumulative cash flow; B = Absolute value of discounted cumulative cash flow at the end of the period A; C = Discounted cash flow during the period after A. Note: In the calculation of simple payback period, we could use an alternative formula for situations where all the cash inflows were even. That formula won't be applicable here since it is extremely unlikely that discounted cash inflows will be even. The calculation method is illustrated in the example below. Decision Rule If the discounted payback period is less that the target period, accept the project. Otherwise reject. Example An initial investment of $2,324,000 is expected to generate $600,000 per year for 6 years. Calculate the discounted payback period of the investment if the discount rate is 11%. Solution Step 1: Prepare a table to calculate discounted cash flow of each period by multiplying the actual cash flows by present value factor. Create a cumulative discounted cash flow column. Year n Cash Flow CF 0 $ −2,324,000 600,000 600,000 600,000 600,000 600,000 600,000 1 2 3 4 5 6 Present Value Factor PV$1=1/(1+i)n 1.0000 0.9009 0.8116 0.7312 0.6587 0.5935 0.5346 Discounted Cash Flow CF×PV$1 $ −2,324,000 Cumulative Discounted Cash Flow $ −2,324,000 540,541 486,973 438,715 395,239 356,071 320,785 − 1,783,459 − 1,296,486 − 857,771 − 462,533 − 106,462 214,323 Step 2: Discounted Payback Period = 5 + |-106,462| / 320,785 ≈ 5.32 years Advantages and Disadvantages Advantage: Discounted payback period is more reliable than simple payback period since it accounts for time value of money. It is interesting to note that if a project has negative net present value it won't pay back the initial investment. Disadvantage: It ignores the cash inflows from project after the payback period. 3. Net Present Value Net present value (NPV) of a project is the potential change in an investor's wealth caused by that project while time value of money is being accounted for. It equals the present value of net cash inflows generated by a project less the initial investment on the project. It is one of the most reliable measures used in capital budgeting because it accounts for time value of money by using discounted cash flows in the calculation. Net present value calculations take the following two inputs: Projected net cash flows in successive periods from the project. A target rate of return i.e. the hurdle rate. Where, Net cash flow equals total cash inflow during a period, including salvage value if any, less cash outflows from the project during the period. Hurdle rate is the rate used to discount the net cash inflows. Weighted average cost of capital (WACC)is the most commonly used hurdle rate. Calculation Methods and Formulas The first step involved in the calculation of NPV is the estimation of net cash flows from the project over its life. The second step is to discount those cash flows at the hurdle rate. The net cash flows may be even (i.e. equal cash flows in different periods) or uneven (i.e. different cash flows in different periods). When they are even, present value can be easily calculated by using the formula for present value of annuity. However, if they are uneven, we need to calculate the present value of each individual net cash inflow separately. Once we have the total present value of all project cash flows, we subtract the initial investment on the project from the total present value of inflows to arrive at net present value. Thus we have the following two formulas for the calculation of NPV: When cash inflows are even: 1 − (1 + i)-n NPV = R × − Initial Investment i In the above formula, R is the net cash inflow expected to be received in each period; i is the required rate of return per period; n are the number of periods during which the project is expected to operate and generate cash inflows. When cash inflows are uneven: R1 R2 R3 NPV = + + + ... − Initial Investment (1 + i)1 (1 + i)2 (1 + i)3 Where, i is the target rate of return per period; R1 is the net cash inflow during the first period; R2 is the net cash inflow during the second period; R3 is the net cash inflow during the third period, and so on ... Decision Rule In case of standalone projects, accept a project only if its NPV is positive, reject it if its NPV is negative and stay indifferent between accepting or rejecting if NPV is zero. In case of mutually exclusive projects (i.e. competing projects), accept the project with higher NPV. Examples Example 1: Even Cash Inflows: Calculate the net present value of a project which requires an initial investment of $243,000 and it is expected to generate a cash inflow of $50,000 each month for 12 months. Assume that the salvage value of the project is zero. The target rate of return is 12% per annum. Solution We have, Initial Investment = $243,000 Net Cash Inflow per Period = $50,000 Number of Periods = 12 Discount Rate per Period = 12% ÷ 12 = 1% Net Present Value = $50,000 × (1 − (1 + 1%)^-12) ÷ 1% − $243,000 = $50,000 × (1 − 1.01^-12) ÷ 0.01 − $243,000 ≈ $50,000 × (1 − 0.887449) ÷ 0.01 − $243,000 ≈ $50,000 × 0.112551 ÷ 0.01 − $243,000 ≈ $50,000 × 11.2551 − $243,000 ≈ $562,754 − $243,000 ≈ $319,754 Example 2: Uneven Cash Inflows: An initial investment of $8,320 thousand on plant and machinery is expected to generate cash inflows of $3,411 thousand, $4,070 thousand, $5,824 thousand and $2,065 thousand at the end of first, second, third and fourth year respectively. At the end of the fourth year, the machinery will be sold for $900 thousand. Calculate the net present value of the investment if the discount rate is 18%. Round your answer to nearest thousand dollars. Solution PV Factors: Year 1 = 1 ÷ (1 + 18%)^1 ≈ 0.8475 Year 2 = 1 ÷ (1 + 18%)^2 ≈ 0.7182 Year 3 = 1 ÷ (1 + 18%)^3 ≈ 0.6086 Year 4 = 1 ÷ (1 + 18%)^4 ≈ 0.5158 The rest of the calculation is summarized below: Year Net Cash Inflow Salvage Value Total Cash Inflow × Present Value Factor Present Value of Cash Flows Total PV of Cash Inflows − Initial Investment Net Present Value 1 $3,411 2 $4,070 3 $5,824 4 $2,065 900 $3,411 $4,070 $5,824 $2,965 0.8475 0.7182 0.6086 0.5158 $2,890.68 $2,923.01 $3,544.67 $1,529.31 $10,888 − 8,320 $2,568 thousand Strengths and Weaknesses of NPV Strengths Net present value accounts for time value of money which makes it a sounder approach than other investment appraisal techniques which do not discount future cash flows such payback period and accounting rate of return. Net present value is even better than some other discounted cash flows techniques such as IRR. In situations where IRR and NPV give conflicting decisions, NPV decision should be preferred. Weaknesses NPV is after all an estimation. It is sensitive to changes in estimates for future cash flows, salvage value and the cost of capital. Net present value does not take into account the size of the project. For example, say Project A requires initial investment of $4 million to generate NPV of $1 million while a competing Project B requires $2 million investment to generate an NPV of $0.8 million. If we base our decision on NPV alone, we will prefer Project A because it has higher NPV, but Project B has generated more shareholders’ wealth per dollar of initial investment ($0.8 million/$2 million vs $1 million/$4 million). 4. Accounting Rate of Return (ARR) Accounting rate of return (also known as simple rate of return) is the ratio of estimated accounting profit of a project to the average investment made in the project. ARR is used in investment appraisal. Formula Accounting Rate of Return is calculated using the following formula: ARR = Average Accounting Profit Average Investment Average accounting profit is the arithmetic mean of accounting income expected to be earned during each year of the project's life time. Average investment may be calculated as the sum of the beginning and ending book value of the project divided by 2. Another variation of ARR formula uses initial investment instead of average investment. Decision Rule Accept the project only if its ARR is equal to or greater than the required accounting rate of return. In case of mutually exclusive projects, accept the one with highest ARR. Examples Example 1: An initial investment of $130,000 is expected to generate annual cash inflow of $32,000 for 6 years. Depreciation is allowed on the straight line basis. It is estimated that the project will generate scrap value of $10,500 at end of the 6th year. Calculate its accounting rate of return assuming that there are no other expenses on the project. Solution Annual Depreciation = (Initial Investment − Scrap Value) ÷ Useful Life in Years Annual Depreciation = ($130,000 − $10,500) ÷ 6 ≈ $19,917 Average Accounting Income = $32,000 − $19,917 = $12,083 Accounting Rate of Return = $12,083 ÷ $130,000 ≈ 9.3% Example 2: Compare the following two mutually exclusive projects on the basis of ARR. Cash flows and salvage values are in thousands of dollars. Use the straight line depreciation method. Project A: Year Cash Outflow 0 1 2 3 91 130 105 -220 Cash Inflow Salvage Value 10 Project B: Year Cash Outflow Cash Inflow Salvage Value Solution 0 1 2 3 87 110 84 -198 18 Project A: Step 1: Annual Depreciation = ( 220 − 10 ) / 3 = 70 Step 2: Year Cash Inflow 1 2 3 91 130 105 Salvage Value Depreciation* 10 -70 -70 -70 Accounting Income 21 60 45 Step 3: Average Accounting Income = ( 21 + 60 + 45 ) / 3 = 42 Step 4: Accounting Rate of Return = 42 / 220 = 19.1% Project B: Step 1: Annual Depreciation = ( 198 − 18 ) / 3 = 60 Step 2: Year Cash Inflow 1 2 3 87 110 84 Salvage Value Depreciation* 18 -60 -60 -60 Accounting Income 27 50 42 Step 3: Average Accounting Income = ( 27 + 50 + 42 ) / 3 = 39.666 Step 4: Accounting Rate of Return = 39.666 / 198 ≈ 20.0% Since the ARR of the project B is higher, it is more favorable than the project A. Advantages and Disadvantages Advantages o Like payback period, this method of investment appraisal is easy to calculate. o It recognizes the profitability factor of investment. Disadvantages o It ignores time value of money. Suppose, if we use ARR to compare two projects having equal initial investments. The project which has higher annual income in the latter years of its useful life may rank higher than the one having higher annual income in the beginning years, even if the present value of the income generated by the latter project is higher. o It can be calculated in different ways. Thus there is problem of consistency. o It uses accounting income rather than cash flow information. Thus it is not suitable for projects which having high maintenance costs because their viability also depends upon timely cash inflows. 5. Internal Rate of Return Internal rate of return (IRR) is the discount rate at which the net present value of an investment becomes zero. In other words, IRR is the discount rate which equates the present value of the future cash flows of an investment with the initial investment. It is one of the several measures used for investment appraisal. Decision Rule A project should only be accepted if its IRR is NOT less than the target internal rate of return. When comparing two or more mutually exclusive projects, the project having highest value of IRR should be accepted. IRR Calculation The calculation of IRR is a bit complex than other capital budgeting techniques. We know that at IRR, Net Present Value (NPV) is zero, thus: NPV = 0; or PV of future cash flows − Initial Investment = 0; or CF1 CF2 1 (1+r) + CF3 2 (1+r) + 3 + ... − Initial Investment = 0 (1+r) Where, r is the internal rate of return; CF1 is the period one net cash inflow; CF2 is the period two net cash inflow, CF3 is the period three net cash inflow, and so on ... But the problem is, we cannot isolate the variable r (=internal rate of return) on one side of the above equation. However, there are alternative procedures which can be followed to find IRR. The simplest of them is described below: o Guess the value of r and calculate the NPV of the project at that value. o If NPV is close to zero then IRR is equal to r. o If NPV is greater than 0 then increase r and jump to step 5. o If NPV is smaller than 0 then decrease r and jump to step 5. o Recalculate NPV using the new value of r and go back to step 2. Example Find the IRR of an investment having initial cash outflow of $213,000. The cash inflows during the first, second, third and fourth years are expected to be $65,200, $96,000, $73,100 and $55,400 respectively. Solution Assume that r is 10%. NPV at 10% discount rate = $18,372 Since NPV is greater than zero we have to increase discount rate, thus NPV at 13% discount rate = $4,521 But it is still greater than zero we have to further increase the discount rate, thus NPV at 14% discount rate = $204 NPV at 15% discount rate = ($3,975) Since NPV is fairly close to zero at 14% value of r, therefore IRR ≈ 14% 6. Profitability Index Profitability index is an investment appraisal technique calculated by dividing the present value of future cash flows of a project by the initial investment required for the project. Formula: Profitability Index Present Value of Future Cash Flows = Initial Investment Required =1+ Net Present Value Initial Investment Required Explanation: Profitability index is actually a modification of the net present value method. While present value is an absolute measure (i.e. it gives as the total dollar figure for a project), the profibality index is a relative measure (i.e. it gives as the figure as a ratio). Decision Rule Accept a project if the profitability index is greater than 1, stay indifferent if the profitability index is 1 and don't accept a project if the profitability index is below 1. Profitability index is sometimes called benefit-cost ratio too and is useful in capital rationing since it helps in ranking projects based on their per dollar return. Example Company C is undertaking a project at a cost of $50 million which is expected to generate future net cash flows with a present value of $65 million. Calculate the profitability index. Solution Profitability Index = PV of Future Net Cash Flows / Initial Investment Required Profitability Index = $65M / $50M = 1.3 Net Present Value = PV of Net Future Cash Flows − Initial Investment Required Net Present Value = $65M-$50M = $15M. The information about NPV and initial investment can be used to calculate profitability index as follows: Profitability Index = 1 + (Net Present Value / Initial Investment Required) Profitability Index = 1 + $15M/$50M = 1.3 Cost of capital A. Cost of Capital The cost of capital is the cost of a firm's debt and equity funds, or the required rate of return on a portfolio of the company's existing securities. It is used to evaluate and decide new projects, as well as the minimum return investors expect from the invested capital. The cost of capital is determined by computing the costs of various financing sources and weighing them proportionately, in balance, to their designated use in the capital structure. It is important to maximize the firm's value, while minimizing the cost of capital. Each capital structure component's cost is closely related to the valuation of that source. The cost of capital may be computed using debt, equity, and weighted average formulas and is useful in making capital budgeting decisions. A proposal is not accepted if its rate of return is less than the cost of capital. Financial performance and investment acceptability may be determined from analyzing the discounted cash flows. Debt and preferred stock carry inherent risk. The cost is directly related to the current yield, and debt is adjusted lower to reflect the tax-deductible interest. The cost of retained earnings of common stock is the current dividend yield plus anticipated future growth rate. Adjustments are typically made to the calculation to determine the cost of new common stock. Capital structure elements are weighted to obtain a minimum overall cost. Debt (borrowing) may appear to be the least costly solution. Caution is advised, however, as excessive debt creates more risk, which in turn drives up costs of all financing sources. The debt component that results in the lowest overall cost of capital is preferred. Then, the weighted average cost of capital may be used as the discount rate to estimate the present value of future flows. It also helps ensure the firm is earning at least the cost of financing. The firm's present rate of earnings is less when the cost of capital is high, which indicates there is more risk and that the capital structure is not balanced. Investors can expect higher rates of returns in such instances. The marginal cost of capital is the capital raised within a given period. The marginal cost of capital increases as the amount of capital increases. The marginal cost of capital is considered and calculated as the "last dollar of capital raised." That is, as the last of the retained earnings (equity) is depleted, the cost of financing goes up. Higher-cost, new common stock is substituted for retained earnings, using the appropriate debt-to-equity ratio, to maintain the most favorable capital structure. B. Cost of Debt versus Cost of Equity Firms typically use debt or equity resources to expand the firm. Debt is money borrowed that must be repaid with interest. Equity is money that has been raised through stock options or other interests in the company. The cost of capital sources varies and depends on the firm's particular operating history, profitability, credit riskiness, and so forth. New companies with limited operating histories will experience higher costs of capital, since investors will demand a higher risk premium. COST OF DEBT The cost of debt is interest paid on the amount borrowed. It is the interest rate on a risk-free bond whose duration is the same as the term structure of the firm's debt plus the default premium -- and default premium and risk increase as the debt increases. ADVANTAGES Raising debt capital is less complicated than raising (equity) capital from shareholders. There is no requirement to comply with state or federal securities laws and regulations. Nor does the firm need to have shareholder consensus before acting, or is it required periodically to update investors and shareholders on the status of the debt. Additional advantages of debt financing include the following: More tax efficient than equity financing, o Cost of debt is an after-tax cost (equal to the cost of equity). o Interest (debt) expense is deductible. o Dividends on common shares must be paid with after-tax dollars. Lenders have no claim to equity in the company. Lenders are only entitled to repayment of agreed principal, plus interest. Ownership interest is not diminished by the debt. A larger end gain is realized than if equity was sold to finance the growth, and Principal and interest re-payments are structured (except for variable rates), and may be planned for and forecast. DISADVANTAGES An excess of debt results in high leverage, which in turn leads to higher lender interest rates necessary to offset the higher default risk. DISCOUNTED TAX RATE For profitable firms, debt is discounted by the tax rate. Since interest expense is tax deductible, the after-tax cost of debt is calculated as: Yield to maturity = Debt x (1 - T) Where: T = The company's marginal tax rate Debt x = Risk free rate COST OF EQUITY The cost of equity is money raised from shareholders by: 1. Issuing more shares to shareholders, or 2. Issuing shares to new shareholders, and the dividend (interest) paid is the cost of equity. The rate of return that equity investors require is not as neatly defined as the return on debt is by lenders. The cost of equity is approximated by comparing the particular investment to other investments having similar risk profiles. A future dividend stream is estimated based on the firm's dividend history and an assumed growth rate. The calculated market capitalization rate is equivalent to the current market price. Firms' estimated "dividend paying capacity," that do not distribute dividend profits, is from average cash flow and net income, which are compared to dividends that another, similar firm distributes. The cost of equity is approximated, using the Capital Asset Pricing Model (CAPM). Typically using common stock returns over time, CAPM associates the risk-return trade offs of individual assets to market returns, and operates only in a market of equilibrium. Stock prices and market indexes are readily available and efficiently priced. The CAPM represents, "a linear relationship between individual stock return and stock market return over time." Using the Least Squares Regression formula: Kj = α + βKm + e Where: Kj = Common stock return α = "Alpha," the intercept on the y-axis (expected risk-free rate of return) β = "Beta," the co-efficient (sensitivity to market movement) Km = Stock market return (typically S&P 500 Index) e = Error term Perhaps a simpler version of the CAPM may also be expressed as: Es = Rf + βs (Rm – Rf) Where: Es = Expected return on a security Rf = Expected risk-free rate of return in the relevant market βs = Sensitivity to market risk for the particular security Rm = Historic return of the equity market (Rm – Rf) = Risk premium of market assets over risk-free assets. COST OF PREFERENCE SHARE The cost of preference share capital is apparently the dividend which is committed and paid by the company. This cost is not relevant for project evaluation because this is not the cost at which further capital can be obtained. To find out the cost of acquiring the marginal cost, we will be finding the yield on the preference share based on the current market value of the preference share. The preference share is issued at a stated rate of dividend on the face value of the share. Although the dividend is not mandatory and it does not create legal obligation like debt, it has the preference of payment over equity for dividend payment and distribution of assets at the time of liquidation. Therefore, without paying the dividend to preference shares, they cannot pay anything to equity shares. In that scenario, management normally tries to pay a regular dividend to the preference shareholders. Broadly, preference shares can be of two types – Redeemable and Irredeemable. COST OF REDEEMABLE PREFERENCE SHARE These shares are issued for a particular period and at the expiry of that period, they are redeemed and principal is paid back to the preference shareholders. The characteristics are very similar to debt and therefore the calculations will be similar too. For finding cost of redeemable preference shares, following formula can be used. Here, preference share is traded at say P0 with dividend payments ‘D’ and principal repayment ‘P’. The cost of debt is designated by Kp. Kp can be determined by solving above equation. EXPLANATION TO COST OF REDEEMABLE PREFERENCE CAPITAL WITH EXAMPLE For example, a firm had on the balance sheet, a 9% preference stock which matures after 3 years. The face value is 1000. Putting the formula when current market price of the debenture is 950, we get, Solving the above equation, we will get 11.05%. This is the cost of preference share capital. In the case of debt, it would have required further adjustment with respect to tax because debt enjoys tax shield. Preference dividend is paid out of profits and not treated as an expense for the company. Rather it is called profit distribution. COST OF IRREDEEMABLE PREFERENCE SHARE These shares are issued for the life of the company and are not redeemed. Cost of irredeemable preference shares can be calculated as follows: Here, preference share is traded at say P0 with dividend payments ‘D’. The cost of debt is designated by Kp. Kp can be determined by solving above equation. EXPLANATION TO COST OF IRREDEEMABLE PREFERENCE CAPITAL WITH EXAMPLE For example, a firm issued a 10% preference stock of $1000 which has a current market price of $900. Cost can be calculated as below: Kp = 100/900 Solving the above equation, we will get 11.11%. This is the cost of redeemable preference share capital. METHODS FOR MEASURING COST OF CAPITAL Cost of capital can be defined both from organization’s and investor’s point of view. From an organization’s point of view, cost of capital is a rate at which an organization raises capital to invest in various projects. The basic motive of an organization to raise any kind of capital is to invest in its various projects for earning profit. Further, out of that profit, the organization pays interest and dividend to the sources of capital. The amount paid as interest and dividend is considered as cost of capital. From the investors’ point of view, cost of capital is the rate of return, which investors expect from the capital invested by them in the organization. The calculation of cost of capital is very significant for the management of an organization. The significance of cost of capital is as follows: (a) Capital Budgeting Decision: Refers to the decision, which helps in calculating profitability of various investment proposals. (b) Capital Requirement: Refers to the extent to which fund is required by an organization at different stages, such as incorporation stage, growth stage, and maturity stage. When an organization is in its incorporation stage or growth stage, it raises more of equity capital as compared to debt capital. The evaluation of cost of capital increases the profitability and solvency of an organization as it helps in analyzing cost efficient financing mix. (c) Optimum Capital Structure: Refers to an appropriate capital structure in which total cost of capital would be least. Optimal capital structure suggests the limit of debt capital raised to reduce the cost of capital and enhance the Value of an organization. (d) Resource Mobilization: Enables an organization to mobilize its fund from non-profitable to profitable areas. Resource mobilization helps in reducing risk factor as an organization can shut down its unproductive projects and move the resources to productive projects to earn profit. (e) Determination of duration of Project: Refers to evaluating whether the project, for which the capital is raised, is long term or short term. If the project is long term in nature then the organization decides to raise equity capital. However, if the project is short term in nature then the organization determines to raise debt capital. Cost of capital can be measured by using various methods, as shown in Figure-2: The explanation of methods measuring cost of capital (as shown in Figure-2) is as follows. Cost of Debt Capital: Generally, cost of debt capital refers to the total cost or the rate of interest paid by an organization in raising debt capital. However, in a real situation, total interest paid for raising debt capital is not considered as cost of debt because the total interest is treated as an expense and deducted from tax. This reduces the tax liability of an organization. Therefore, to calculate the cost of debt, the organization needs to make some adjustments. Let us understand the calculation of cost of debt with the help of an example. Suppose an organization raised debt capital of Rs. 10000 and paid 10% interest on it. The organization is paying corporation tax at the rate of 50%. In this ca.se, the total 10% of interest rate would not be deducted from tax and the deduction would be 50% of 10%. Therefore, the cost of debt would be only 5%. While calculating cost of debt capital, discount allowed, underwriting commission, and cost of advertisement are also considered. These expenses are added to the amount of interest paid, which is considered as total cost of debt capital. For example, when an organization increases its proportion of debt capital more than the optimum level, then it increases its risk factor. Therefore, the investors feel insecure and their expectations of EPS start increasing, which is the hidden cost related to debt capital. Formulae to calculate cost of debt are as follows: 1. When the debt is issued at par KD = [(1-T)*R]*100 Where, KD = Cost of debt T = Tax rate R = Rate of interest on debt capital KD = Cost of debt capital 2. Debt issued at premium or discount when debt is irredeemable: KD = [1/NP*(1-T)* 100] Where, NP = Net proceeds of debt 3. Cost of redeemable debt: KD = [{I (1-T) -H (P-NP/N) * (1- T)}/ (P -H NP/2)] * 100 Where, N = Numbers of years of maturity P = Redeemable value of debt For example, an organization issued 10% debentures of the face value of Rs. 100 redeemable at par after 20 years. Assuming 50% tax rate and 5% floatation cost, calculate cost of debt in the following conditions: 1. When debentures are issued at par 2. When debentures are issued at 10% discount 3. When debentures are issued at 10% premium Solution: The solution is given as follows: Cost of redeemable debt = [{I (1-T) + (P- NP/N) (1- T)}/ (P + NP/2)] * 100 1. When debentures are issued at par KD = [{10(1 – 0.50) + (100 – 95/20) (1 – 0.50)}/ (100 + 95/2)] *100 = 5.25% 2. When debentures are issued at 10% discount KD = [{10(1 – 0.50) + (100 – 85/20) (1 – 0.50)}/ (100 + 85/2)] *100 = 5.81% 3. When debenture is issued at 10% premium KD = [{10(1 – 0.50) + (100 – 110/20) (1 – 0.50)}/ (100 + 110/2)] *100 = 4.52% Cost of Preference Capital: Cost of preference capital is the sum of amount of dividend paid and expenses incurred for raising preference shares. The dividend paid on preference shares is not deducted from tax, as dividend is an appropriation of profit and not considered as an expense. Cost of preference share can be calculated by using the following formulae: 1. Cost of redeemable preference shares: KP = [{D + F/N (1 – T) + RP/N}/ {P + NP/2}] * 100 Where, KP = Cost of preference share D = Annual preference dividend F = Expenses including underwriting commission, brokerage, and discount N = Number of years to maturity RP = Redemption premium P = Redeemable value of preference share NP = Net proceeds of preference shares 2. Cost of irredeemable preference shares: KP = (D/NP) * 100 For example, an organization issues 10% preference shares of Rs. 100 each, redeemable at par after 20 years. Assuming 4% floatation cost and 50% corporate tax; calculate cost of preference share in the following conditions: 1. When preference shares are issued at par 2. When preference shares are issued at 10% discount 3. When preference shares are issued at 10% premium Solution: The solution is given as follows: Cost of redeemable preference shares = [{(D + F)/N (1 – T) + RP/N}/ {(P + NP)/2}] * 100 1. When preference shares are issued at par: KP = [{(10 + 4)/20 (1 – 0.50) + 0/20}/ {(100 + 96)/2}] * 100 = 10.30% 2. When preference shares are issued at 10% discount: KP = [{(10 + 4)/20 (1 – 0.50) + 0/20}/ {(100 + 86)/2}] * 100 = 10.86% 3. When preference shares are issued at 10% premium: KP = [{(10 + 4)/20 (1 – 0.50) + 0/20}/ {(100 + 106)/2}] * 100 = 9.80% Cost of Equity Capital: Calculating the cost of equity capital is a little difficult as compared to debt capital and preference capital. The main reason is that the equity shareholders do not receive fixed interest or dividend. The dividend on equity shares varies depending upon the profit earned by an organization. Risk factor also plays an important role in deciding rate of dividend to be paid on equity capital. Therefore, there are various approaches to calculate cost of equity capital, as shown in Figure-3: The explanation of these approaches (as shown in Figure-3) is as follows: Dividend Price Approach: The dividend price approach describes the investors’ view before investing in equity shares. According to this approach, investors have certain minimum expectations of receiving dividend even before purchasing equity shares. An investor calculates present market price of the equity shares and their rate of dividend. The dividend price approach can be mathematically calculated by using the following formula: KE = (Dividend per share/Market price per share) * 100 KE = Cost of equity capital However, the dividend price approach is criticized on certain grounds, which are as follows: a. Does not take into consideration the appreciation in the value of capital. The dividend price approach is based on the assumption that investors expect some dividend on their shares. It completely ignores the fact that some investors also consider the chances of capital appreciation, which increases the value of their shares. b. Ignores the impact of retained earnings, which affect both the market price of shares and the amount of dividend paid. For example, suppose if an organization keeps major portion of its profit as retained earnings then it would pay low dividend, which may decrease the market price of its shares. Earnings Price Ratio Approach: The earnings price ratio approach suggests that cost of equity capital depends upon amount of fixed earnings of an organization. According to the earnings price ratio approach, an investor expects that a certain amount of profit must be generated by an organization. Investors do not always expect that the organization distribute dividend on a regular basis. Sometimes, they prefer that the organization invests the amount of dividend in further projects to earn profit. In this way, the organization’s profit would increase, which in turn increases the value of its shares in the market. The formula to calculate cost of capital through the earnings price ratio approach is as follows: KE = E/MP Where, E = Earnings per share MP = Market price However, this approach is criticized on the following grounds: a. Assumes that EPS would remain constant b. Assumes that market price per share would remain constant c. Ignores the fact that all the earnings of an organization are not distributed in the form of dividend. However, some part of earnings may be kept in form of retained earnings. Dividend Price plus Growth Approach: The dividend price plus growth approach refers to an approach in which the rate of dividend grows with the passage of time. In the dividend price plus growth approach, investors not only expect dividend but regular growth in the rate of dividend. The growth rate of dividend is assumed to be equal to the growth rate in EPS and market price per share. In the dividend price plus growth approach, cost of capital can be calculated mathematically by using the following formula: KE = [(D/MP) + GJ * 100 Where, D = Expected dividend per share, at the end of period G = Growth rate in expected dividends This approach is considered as the best approach to evaluate the expectations of investors and calculate the cost of equity capital. For example, your company’s share is quoted in the market at Rs. 20 currently. The company pays as dividend of Re. 1 per share and the investor’s market expects a growth rate of 5% year. a. Compute the company’s equity cost of capital. b. If the anticipated growth rate is 6% p.a., calculate the indicated market price per share. c. If the company’s cost of capital is 8% and the anticipated growth rate is 5% p.a., calculate the indicated market price if the dividend of Re. 1 per share is to be maintained. Solution: The equity cost of capital is as follows: a. KE = [{D/MP) + G] * 100 = [(1/20) + 0.05] * 100= 10% b. MP = [{D + (G * MP)}/KE] * 100 = [{1 + (0.06 * MP)}/0.10] * 100 = Rs. 16.94 c. MP = [{D + (G * MP)}/KE] * 100 = [{1 + (0.05 * MP)}/0.08] * 100 = Rs. 20.32 Realized Yield Approach: In the realized yield approach, an investor expects to earn the same amount of dividend, which the organization has paid in past few years. In this approach, the growth in dividend is not considered as major factors for deciding the cost of capital. This approach is based on the following assumptions: a. Risk factor remains constant in an organization. Returns in the given risk remain the same as per the expectations of shareholders. b. Realized yield is equivalent to the reinvestment opportunity rate for shareholders. According to the realized yield approach, cost of capital can be calculated mathematically by using the following formula: KE = [{(D-P)/p} – 1] * 100 Where, P = Price at the end of the period, p = Price per share to day Capital Asset Price Model (CAPM): CAPM helps in calculating the expected rate of return from a share of equivalent risk in the capital market. The cost of shares that carry risk would be equal to cost of lost opportunity. For example, an investor has two investment options- to buy the shares of either X Ltd. or Y Ltd. If the investor decides to buy the shares of X Ltd. then the cost of shares of Y Ltd. would be the cost of lost opportunity. CAPM is based on the following assumptions: a. A rationale investor would always avoid risk b. A rationale investor would always wish to maximize the expected yield c. All investors would have similar expectations d. All investors can lend freely on the riskless rates of return e. Capital market is in good condition and there is no existence of tax f. Capital market is competitive in nature g. Securities are completely divisible and there is no transaction cost The computation of cost of capital using CAPM is based on the condition that the required rate of return on any share should be equal to the sum of risk less rate of interest and premium for the risk. According to CAPM, cost of capital can be calculated mathematically by using the following formulae: E = R1 +β {E (R2) – R1} Where, E = Expected rate of return on asset β = Beta coefficient of assets R1 = Risk free rate of return E (R2) = Expected return from market portfolio This value can be calculated by analyzing data of usually five years. Formula used to calculate beta value is as follow: β = PIM (SD1) (SDM)/SD2M Where, β = Beta of stock PIM = Correlation coefficient between the returns on stock, I and the returns on market portfolio, M. SD1 = Standard deviation of returns on assets SDM = Standard deviation of returns on the market portfolio SD2M = Variance of market returns Bond Yield plus Risk Premium Approach: The bond yield plus risk premium approach states that the cost on equity capital should be equal to the sum of returns on long-term bonds of an organization and risk premium given on equity shares. The risk premium is paid on equity shares because they carry high risk. Mathematically, the cost of capital is calculated as: Cost of equity capital= Returns on long-term bonds + Risk premium The bond yield plus risk premium approach is based on the fact that a risky organization would have high financial leverage. As a result of this, it would be earning higher profit. Therefore, the equity shareholders due to higher risks on their investments expect higher returns in the form of risk premium. Gordon Model: The Gordon model was proposed by Myron Gordon to calculate cost of equity capital. As per this model, an investor always prefers less risky investment as compared to more risky investment. Therefore, an organization should pay risk premium only on risky investment. The Gordon model also suggests that an investor would always prefer more of those investments, which would provide them current income. The Gordon model is based on the following assumptions: a. The rate of return on the investments of an organization is constant b. The cost of equity capital is more than the growth rate c. The corporation tax does not exist in the economy d. The organization has perpetual existence e. The growth rate of the organization is a part of retention ratio and its rate of return According to the Gordon model, cost of capital can be calculated mathematically by using the following formula: P = E (1 -b)/K – br Where, P = Price per share at the beginning of the year E = Earnings per share at the end of the year b = Fraction of retained earnings K = Rate of return required by shareholders r = Rate of return earned on investments made by the organization For example, assume that the organization pays the corporation tax at the rate of 50%. Compute after tax cost of capital in the following cases: a. 10% preference shares sold at par. b. Irredeemable debentures sold at par at the interest rate of 10%. c. Redeemable debentures of Rs. 100 each, sold at Rs. 95 carrying 8% interest rate. The maturity period of debentures is after 10 years. d. Equity shares sold at market price of Rs. 100 and paying a current dividend of Rs. 10 per share. The expected growth in the dividend of the share is 8%. Solution: The solution is given as follows: a. The cost of preference shares after tax is 10% b. Cost of debt for irredeemable debenture when issued at par = [(1 – T) * R] * 100 KD = [(1 – 0.50) * 10%)] * 100 = 5% c. Cost of redeemable debenture = [{I (1-T) + (P – NP/N) (1- T)}/ (P + NP/2)] * 100 KD = [{8(1 – 0.50) + (100 – 95/10) (1 – 0.50)}/ (100 + 95/2)] * 100 = 4.61% d. Cost of equity share when growth rate of dividend is given = [(D/MP) + G] * 100 KE = [(10/100) + 8%J * 100 = 18% Cost of Retained Earnings: Retained earnings are organizations’ own profit reserves, which are not distributed as dividend. These are kept to finance long-term as well as short-term projects of the organization. It is argued that the retained earnings do not cost anything to the organization. It is debated that there is no obligation either formal or implied, to earn any profit by investing retained earnings. However, it is not correct because the investors expect that if the organization is not distributing dividend and keeping a part of profit as reserves then it should invest the retained earnings in profitable projects. Further, the investors expect that the organization should distribute the profit earned by investing retained earnings in the form of dividend. Cost of retained earnings can be calculated with the help of various approaches, which are as follows: (a) KE = KR Approach: Assumes that if the profit earned by an organization is not retained but is distributed as dividend, then the shareholders would invest this dividend in other projects to earn further profit. If an organization retains the dividend then it prohibits the shareholders from earning more profit. Therefore, for retaining the dividend, the organization should earn the profit, which the shareholders would have earned by investing the dividend in other projects. Therefore, the amount of profit expected from the organization on retained earnings is the cost of retained earnings. (b) Soloman Erza Approach: Includes the two options that an organization has that is either to retain the earnings to meet future uncertainties or invest in its or other organization’s projects. Weighted Average Cost of Capital: Weighted average cost of capital is determined by multiplying the cost of each source of capital with its respective proportion in the total capital. Let us understand the concept of weighted average cost of capital with the help of an example. Suppose an organization raises capital by issuing debentures and equity shares. It pays interest on debt capital and dividend on equity capital. When the organization adds the total interest paid on debt capital to the total dividend paid on equity capital, it obtains weighted average cost of capital. An organization requires to generate the profit on its various investments equal to the weighted average cost of capital. Weighted average cost of capital can be calculated mathematically by using the following formula: Weighted Average Cost of Capital = (KE * E) + (KP * P) + (KD * D) + (KR* R) Where, E = Proportion of equity capital in capital structure P = Proportion of preference capital in capital structure D = Proportion of debt capital in capital structure KR = Cost of proportion of retained earnings in capital structure R = Proportion of retained earnings in capital structure Let us understand the weighted average cost of capital with the help of some examples. Example-1: ABC Ltd. has the following capital structure on 31st March 2008: Equity shares (10000 shares issued) = Rs. 1000000 10% preference shares = Rs. 200000 10% debentures = Rs. 600000 The shares of the organization are currently sold at Rs. 100. It is expected that the organization would provide dividend of Rs. 10 per share, which would grow at the rate of 10% forever. Assuming 50% corporate tax rate, calculate weighted average cost of capital on existing capital structure. Solution: The solution is given as follows: Cost of debt after tax = [(1 – T) * R] * 100 KD = [(1-0.50)* 10%] * 100 = 5% Cost of equity capital when growth rate is given = [(D/MP) + G] * 100 KE = [(10/100) + 10%]* 100 = 10% Calculation of weighted average cost of capital is shown as follows: Therefore, weighted average cost of capital = 0.0825 Example-2: A fan manufacturing organization wishes to determine the weighted average cost of capital to evaluate capital budgeting projects. You have been given the following information: Additional Information: a. 10 years 10% debentures of? 1000 face value, redeemable at 10% premium can be sold at par, 5% floatation costs. b. 10% preference shares of selling price Rs. 1000 per share and 5% floatation costs c. Equity shares of selling price Rs. 100 per share with Rs. 10 floatation cost per share The corporate tax is 50% and expected growth in equity dividend is 20% per year. The expected dividend at the current financial year is Rs. 10 per share. You are required to calculate the weighted average cost of capital. Solution: The solution is given as follows: Cost of debt capital = [{I (1-T) + (P – NP/N) (1-T)}/ (P + NP/2)] * 100 KD =[ 1(100 (1 – 0.50) + (1100 – 950/10) (1 – 0.50))/ (1100 + 950/2)1 ]* 100 = 5.6% Cost of preference share = (D/NP) * 100 KP = {10/ (1000 – 50)} * 100 = 1.05% Cost of equity capital = [(D/MP) + G] * 100 KE = 1(10/100) + 0.20) * 100 = 30% Therefore, weighted average cost of capital is = 15.024% Example-3: The following is the capital structure of Saras Ltd. As on 31-12-2005: The market price of the company’s share is Rs. 110 and it is expected that a dividend of Rs. 10 per share would be declared after one year. The dividend growth rate is 6%. a. If the company is in the 50% tax bracket, compute weighted average cost of capital. b. Assuming that in order to finance an expansion plan, the company intends to borrow a fund of Rs. 20 lakhs bearing 14% rate of interest, what will be the company’s revised weighted average cost of capital? This financing decision is expected to increase dividend from Rs. 10 to Rs. 12 per share. However, the market price of equity share is expected to decline from Rs. 110 to 105 per share. Solution: The solution to the given problem is as follows: a. KE = [(D/MP) + G]* 100 = [(10/110) + 0.06] *100 = 15.09 KD = [(1 – T) * R] *100 = [(1-0.50)* 0.12]* 100 = 6% KP = 10% a. KE = [(D/MP) + G]*100 = [(12/105) + 0.20J * 100 = 31.42 KD = [(1-T)*R]*100 = [(1-0.50) * 0.14] * 100 = 7% KP = 10% Marginal Cost of Capital: Marginal cost of capital can be defined as the cost of additional capital required by an organization to finance the investment proposals. It is calculated by first estimating the cost of each source of capital, which is based on the market value of the capital. After that, it is identified that which source of capital would be more appropriate for financing a project. The marginal cost of capital is ascertained by taking into consideration the effect of additional cost of capital on the overall profit. In simpler terms, the marginal cost of capital is calculated in the same manner as the weighted average cost of capital is calculated by just adding additional capital to the total cost of capital. Marginal cost of capital can be calculated mathematically by using the following formula: Marginal Cost of Capital = KE {E/ (E + D + P + R)} + KD {D/ (E + D + P + R)} + KP (P/ (E + D + P R)} + KR {R/ (E + D + P + R)} For example a company has equity shares of Rs. 100 each, 10% preference shares, and 12% debentures in the proportion of 3:2:5. The company needs further capital that is available from a financial institution @ 14% interest. The new proportion would be 3:2:5:5 for equity capital, preference capital, debentures, and loans from financial institutions, respectively. The company pays 40% tax on income. The market price of equity shares is Rs. 120 per share. Expected dividend at the end of the year is Rs. 6 per share. Dividends are expected to grow every year @ 5%. How will the cost of capital change on borrowing funds from financial institutions? Solution: The calculations of equity and debt capital are as follows: KE = [(D/MP) + G] *100 = [(6/120) + 0.0.05] * 100 = 10% KD = [(1-T) *R] * 100 = [(1 – 0.40)* 0.121 * 100 = 7.2% Cost of loan raised from bank, KD = [(1 – T) * R] * 100 = [(1-0.40) * 0.12] * 100 = 8.4 Therefore it can be analyzed from the calculation that the cost of capital decreases on borrowing funds from the financial institution. Before borrowing loan from the financial institution, cost of capital was 0.086, which reduced to 0.083 after borrowing. Risk Analysis Risk analysis is the process of assessing the likelihood of an adverse event occurring within the corporate, government, or environmental sector. Risk analysis is the study of the underlying uncertainty of a given course of action and refers to the uncertainty of forecasted cash flow streams, variance of portfolio/stock returns, the probability of a project's success or failure, and possible future economic states. Risk analysts often work in tandem with forecasting professionals to minimize future negative unforeseen effects. A risk analyst starts by identifying what could go wrong. The negative events that could occur are then weighed against a probability metric to measure the likelihood of the event occurring. Finally, risk analysis attempts to estimate the extent of the impact that will be made if the event happens. QUANTITATIVE RISK ANALYSIS Risk analysis can be quantitative or qualitative. Under quantitative risk analysis, a risk model is built using simulation or deterministic statistics to assign numerical values to risk. Inputs which are mostly assumptions and random variables are fed into a risk model. For any given range of input, the model generates a range of output or outcome. The model is analyzed using graphs, scenario analysis, and/or sensitivity analysis by risk managers to make decisions to mitigate and deal with the risks. A Monte Carlo simulation can be used to generate a range of possible outcomes of a decision made or action taken. The simulation is a quantitative technique that calculates results for the random input variables repeatedly, using a different set of input values each time. The resulting outcome from each input is recorded, and the final result of the model is a probability distribution of all possible outcomes. The outcomes can be summarized on a distribution graph showing some measures of central tendency such as the mean and median, and assessing variability of the data through standard deviation and variance. The outcomes can also be assessed using risk management tools such as scenario analysis and sensitivity tables. A scenario analysis shows the best, middle, and worst outcome of any event. Separating the different outcomes from best to worst provides a reasonable spread of insight for a risk manager. For example, an American Company that operates on a global scale might want to know how its bottom line would fare if the exchange rate of select countries strengthens. A sensitivity table shows how outcomes vary when one or more random variables or assumptions are changed. A portfolio manager might use a sensitivity table to assess how changes to the different values of each security in a portfolio will impact the variance of the portfolio. Other types of risk management tools include decision trees and break-even analysis. QUALITATIVE RISK ANALYSIS Qualitative risk analysis is an analytical method that does not identify and evaluate risks with numerical and quantitative ratings. Qualitative analysis involves a written definition of the uncertainties, an evaluation of the extent of impact if the risk ensues, and countermeasure plans in the case of a negative event occurring. Examples of qualitative risk tools include SWOT Analysis, Cause and Effect diagrams, Decision Matrix, Game Theory, etc. A firm that wants to measure the impact of a security breach on its servers may use a qualitative risk technique to help prepare it for any lost income that may occur from a data breach. Almost all sorts of large businesses require a minimum sort of risk analysis. For example, commercial banks need to properly hedge foreign exchange exposure of oversees loans while large department stores must factor in the possibility of reduced revenues due to a global recession. It is important to know that risk analysis allows professionals to identify and mitigate risks, but not avoid them completely. RISK ANALYSIS TECHNIQUES It is important to keep in mind that when a company analyzes a potential project, it is forecasting potential not actual cash flows for a project. As we all know, forecasts are based on assumptions that may be incorrect. It is therefore important for a company to perform a sensitivity analysis on its assumptions to get a better sense of the overall risk of the project the company is about to take. There are three risk-analysis techniques that should be known for the exam: 1. Sensitivity Analysis Sensitivity analysis is simply the method for determining how sensitive our NPV analysis is to changes in our variable assumptions. To begin a sensitivity analysis, we must first come up with a basecase scenario. This is typically the NPV using assumptions we believe are most accurate. From there, we can change various assumptions we had initially made based on other potential assumptions. NPV is then recalculated, and the sensitivity of the NPV based on the change in assumptions is determined. Depending on our confidence in our assumptions, we can determine how potentially risky a project can be. 2. Scenario Analysis Scenario analysis takes sensitivity analysis a step further. Rather than just looking at the sensitivity of our NPV analysis to changes in our variable assumptions, scenario analysis also looks at the probability distribution of the variables. Like sensitivity analysis, scenario analysis starts with the construction of a base case scenario. From there, other scenarios are considered, known as the "best-case scenario" and the "worst-case scenario". Probabilities are assigned to the scenarios and computed to arrive at an expected value. Given its simplicity, scenario analysis is one the most frequently used riskanalysis techniques. 3. Monte Carlo Simulation Monte Carlo simulation is considered to be the "best" method of sensitivity analysis. It comes up with infinite calculations (expected values) given a number of constraints. Constraints are added and the system generates random variables of inputs. From there, NPV is calculated. Rather than generating just a few iterations, the simulation repeats the process numerous times. From the numerous results, the expected value is then calculated. Working capital management Working capital management is the way a company manages the relationship between assets and liabilities in the short term. Simply put, working capital management is how a company manages its money for day to day operations as well as any immediate debt obligations. When managing working capital, the company has to manage accounts receivable, accounts payable, inventory and cash. The goal of working capital management is to have adequate cash flow for continued operations and have the most productive usage of resources. Working capital management refers to a company's managerial accounting strategy designed to monitor and utilize the two components of working capital, current assets and current liabilities, to ensure the most financially efficient operation of the company. The primary purpose of working capital management is to make sure the company always maintains sufficient cash flow to meet its shortterm operating costs and short-term debt obligations. There are a few calculations in working capital management. To calculate working capital, a company would take current assets and subtract current liabilities. Working capital management commonly involves monitoring cash flow, assets and liabilities through ratio analysis of key elements of operating expenses, including the working capital ratio, collection ratio and the inventory turnover ratio. Efficient working capital management helps with a company's smooth financial operation, and can also help to improve the company's earnings and profitability. Management of working capital includes inventory management and management of accounts receivables and accounts payables. Elements of Working Capital Management The working capital ratio, calculated as current assets divided by current liabilities, is considered a key indicator of a company's fundamental financial health since it indicates the company's ability to successfully meet all of its short-term financial obligations. Although numbers vary by industry, a working capital ratio below 1.0 is generally indicative of a company having trouble meeting shortterm obligations, usually due to insufficient cash flow. Working capital ratios of 1.2 to 2.0 are considered desirable, but a ratio higher than 2.0 may indicate a company is not making the most effective use of its assets to increase revenues. The collection ratio, also known as the average collection period ratio, is a principal measure of how efficiently a company manages its accounts receivables. The collection ratio is calculated as the number of days in an accounting period, such as one month, multiplied by the average amount of outstanding accounts receivables, with that total then divided by the total amount of net credit sales during the accounting period. The collection ratio calculation provides the average number of days it takes a company to receive payment, in other words, to convert sales into cash. The lower a company's collection ratio, the more efficient its cash flow. The final element of working capital management is inventory management. To operate with maximum efficiency and maintain a comfortably high level of working capital, a company has to carefully balance sufficient inventory on hand to meet customers' needs while avoiding unnecessary inventory that ties up working capital for a long period of time before it is converted into cash. Companies typically measure how efficiently that balance is maintained by monitoring the inventory turnover ratio. The inventory turnover ratio, calculated as revenues divided by inventory cost, reveals how rapidly a company's inventory is being sold and replenished. A relatively low ratio compared to industry peers indicates inventory levels are excessively high, while a relatively high ratio indicates the efficiency of inventory ordering can be improved. Concept of Working Capital There are two concepts of working capital: (i) Gross working capital (ii) Net working capital. Gross working capital is the capital invested in total current assets of the enterprise. Examples of current assets are : cash in hand and bank balances, Bills Receivable, Short term loans and advances, prepaid expenses, Accrued Incomes etc. The gross working capital is financial or going concern concept. Net working capital is excess of Current Assets over Current liabilities. Net Working Capital = Current Assets – Current Liabilities When current assets exceed the current liabilities the working capital is positive and negative working capital results when current liabilities are more than current assets. Examples of current liabilities are Bills Payable, Sunday debtors, accrued expenses, Bank Overdraft, Provision for taxation etc. Net working capital is an accounting concept of working capital. Classification or Kinds of Working Capital Working capital may be classified in two ways: (a) On the basis of concept (b) On the basis of time On the basis of concept working capital is classified as gross working capital and net working capital. On the basis of time working capital may be classifies as Permanent or fixed working capital and Temporary or variable working capital. Permanent or Fixed or long term working capital It is the minimum amount which is required to ensure effective utilisation of fixed facilities and for maintaining the circulation of current assets. There is always a minimum level of current assets which its continuously required by enterprise to carry out its normal business operations. As the business grows, the requirements of permanent working capital also increase due to increase in current assets. The permanent working capital can further be classified as regular working capital and reserve working capital required to ensure circulation of current assets from cash to inventories, from inventories to receivables and from receivables to cash and so on. Reserve working capital is the excess mount over the requirement for regular working capital which may be provided for contingencies that may arise at unstated periods such as strikes, rise in prices, depression etc. Temporary or Variable or short term working capital It is the amount of working capital which is required to meet the seasonal demands and some special exigencies. Variable working capital is further classified as seasonal working capital and special working capital. The capital required to meet seasonal needs of the enterprise is called seasonal working capital. Special working capital is that part of working capital which is required to meet special exigencies such as launching of extensive marketing campaigns for conducting research etc. Importance or Advantages of Adequate Working Capital : Working capital is the life blood and nerve centre of a business. Hence, it is very essential to maintain smooth running of a business. No business can run successfully without an adequate amount of working capital. The main advantages of maintaining adequate amount of working capital are as follows: 1. Solvency of the Business: Adequate working capital helps in maintaining solvency of business by providing uninterrupted flow of production. 2. Goodwill: Sufficient working capital enables a business concern to make prompt payments and hence helps in creating and maintaining goodwill. 3. Easy Loans: A concern having adequate working capital, high solvency and good credit standing can arrange loans from banks and others on easy and favourable terms. 4. Cash Discounts: Adequate working capital also enables a concern to avail cash discounts on purchases and hence it reduces cost. 5. Regular Supply of Raw Material: Sufficient working capital ensure regular supply of raw materials and continuous production. 6. Regular payment of salaries, wages and other day to day commitments: A company which has ample working capital can make regular payment of salaries, wages and other day to day commitments which raises morale of its employees, increases their efficiency, reduces costs and wastages. 7. Ability to face crisis: Adequate working capital enables a concern to face business crisis in emergencies such as depression. 8. Quick and regular return on investments: Every investor wants a quick and regular return on his investments. Sufficiency of working capital enables a concern to pay quick and regular dividends to is investor as there may not be much pressure to plough back profits which gains the confidence of investors and creates a favourable market to raise additional funds in future. 9. Exploitation of Favourable market conditions: Only concerns with adequate working capital can exploit favourable market conditions such as purchasing its requirements in bulk when the prices are lower and by holding its inventories for higher prices. 10. High Morale: Adequacy of working capital creates an environment of security, confidence, high morale and creates overall efficiency in a business. Excess or Inadequate Working Capital Every business concern should have adequate working capital to run its business operations. It should have neither excess working capital nor inadequate working capital. Both excess as well as short working capital positions are bad for any business. Disadvantages of Excessive Working Capital 1. Excessive working capital means idle funds which earn no profits for business and hence business cannot earn a proper rate of return. 2. When there is a redundant working capital it may lead to unnecessary purchasing and accumulation of inventories causing more chances of theft, waste and losses. 3. It may result into overall inefficiency in organization. 4. Due to low rate of return on investments, the value of shares may also fall. 5. The redundant working capital gives rise to speculative transaction. 6. When there is excessive working capital, relations with banks and other financial institutions may not be maintained. Disadvantages of Inadequate working capital 1. A concern which has inadequate working capital cannot pay its short-term liabilities in time. Thus, it will lose its reputation and shall not be able to get good credit facilities. 2. It cannot buy its requirements in bulk and cannot avail of discounts. 3. It becomes difficult for firm to exploit favourable market conditions and undertake profitable projects due to lack of working capital. 4. The rate of return on investments also falls with shortage of working capital. 5. The firm cannot pay day-to-day expenses of its operations and it created inefficiencies, increases costs and reduces the profits of business. The Need or Objects or Working Capital The need for working capital arises due to time gap between production and realisation of cash from sales. There is an operating cycle involved in sales and realisation of cash. There are time gaps in purchase of raw materials and production, production and sales, and sales and realisation of cash. Thus, working capital is needed for following purposes. 1. For purchase of raw materials, components and spares. 2. To pay wages and salaries. 3. To incur day-to-day expenses and overhead costs such as fuel, power etc. 4. To meet selling costs as packing, advertisement 5. To provide credit facilities to customers. 6. To maintain inventories of raw materials, work in progress, stores and spares and finished stock. Greater size of business unit large will be requirements of working capital. The amount of working capital needed goes on increasing with growth and expansion of business till it attains maturity. At maturity the amount of working capital needed is called normal working capital. Factors Determining the Working Capital Requirements The following are important factors which influence working capital requirements: 1. Nature or Character of Business: The working capital requirements of firm depend upon nature of its business. Public utility undertakings like electricity, water supply need very limited working capital because they offer cash sales only and supply services, not products, and such no funds are tied up in inventories and receivables whereas trading and financial firms require less investment in fixed assets but have to invest large amounts in current assets and as such they need large amount of working capital. Manufacturing undertaking require sizeable working capital between these two. 2. Size of Business/Scale of Operations: Greater the size of a business unit, larger will be requirement of working capital and vice-versa. 3. Production Policy: The requirements of working capital depend upon production policy. If the policy is to keep production steady by accumulating inventories it will require higher working capital. The production could be kept either steady by accumulating inventories during slack periods with view to meet high demand during peak season or production could be curtailed during slack season and increased during peak season. 4. Manufacturing process / Length of Production cycle: Longer the process period of manufacture, larger is the amount of working capital required. The longer the manufacturing time, the raw materials and other supplies have to be carried for longer period in the process with progressive increment of labour and service costs before finished product is finally obtained. Therefore, if there are alternative processes of production, the process with the shortest production period should be chosen. 5. Credit Policy: A concern that purchases its requirements on credit and sell its products/services on cash requires lesser amount of working capital. On other hand a concern buying its requirements for cash and allowing credit to its customers, shall need larger amount of working capital as very huge amount of funds are bound to be tied up in debtors or bills receivables. 6. Business Cycles: In period of boom i.e. when business is prosperous, there is need for larger amount of working capital due to increase in sales, rise in prices etc. On contrary in times of depression the business contracts, sales decline, difficulties are faced in collections from debtors and firms may have large amount of working capital lying idle. 7. Rate of Growth of Business: The working capital requirements of a concern increase with growth and expansion of its business activities. In fast growing concerns large amount of working capital is required whereas in normal rate of expansion in the volume of business the firm may have retained profits to provide for more working capital. 8. Earning Capacity and Dividend Policy. The firms with high earning capacity generate cash profits from operations and contribute to working capital. The dividend policy of concern also influences the requirements of its working capital. A firm that maintains a steady high rate of cash dividend irrespective of its generation of profits need more working capital than firm that retains larger part of its profits and does not pay so high rate of cash dividend. 9. Price Level Changes: Changes in price level affect the working capital requirements. Generally, the rising prices will require the firm to maintain large amount of working capital as more funds will be required to maintain the same current assets. The effect of rising prices may be different for different firms. 10. Working Capital Cycle: In a manufacturing concern, the working capital cycle starts with the purchase of raw material and ends with realisation of cash from the sale of finished products. This cycle involves purchase of raw materials and stores, its conversion into stocks of finished goods through work in progress with progressive increment of labour and service costs, conversion of finished stock into sales, debtors and receivables and ultimately realisation of cash and this cycle again from cash to purchase of raw material and so on. The speed with which the working capital completes one cycle determines the requirements of working capital longer the period of cycle larger is requirement of working capital. Managemant of Working Capital Working capital refers to excess of current assets over current liabilities. Management of working capital therefore is concerned with the problems that arise in attempting to manage current assets, current liabilities and inter relationship that exists between them. The basic goal of working capital management is to manage the current assets and current of a firm in such a way that satisfactory level of working capital is maintained i.e. it is neither inadequate nor excessive. This is so because both inadequate as well as excessive working capital positions are bad for any business. Inadequacy of working capital may lead the firm to insolvency and excessive working capital implies idle funds which earns no profits for the business. Working capital Management policies of a firm have a great effect on its profitability, liquidity and structural health of organization. In this context, evolving capital management is three dimensional in nature. 1. Dimension I is concerned with formulation of policies with regard to profitability, risk and liquidity. 2. Dimension II is concerned with decisions about composition and level of current assets. 3. Dimension III is concerned with decisions about composition and level of current liabilities. Principles of Working Capital Management Principles of Working Capital Management Principle of Risk Principle of Variation Maturity of Principle of Cost of Capital Principle of Equity position Payment 1. Principle of Risk Variation: Risk refers to inability of firm to meet its obligation as and when they become due for payment. Larger investment in current assets with less dependence on shortterm borrowings increases liquidity, reduces risk and thereby decreases opportunity for gain or loss. On other hand less investment in current assets with greater dependence on short-term borrowings increases risk, reduces liquidity and increases profitability. There is definite direct relationship between degree of risk and profitability. A conservative management prefers to minimize risk by maintaining higher level of current assets while liberal management assumes greater risk by reducing working capital. However, the goal of management should be to establish suitable trade off between profitability and risk. The various working capital policies indicating relationship between current assets and sales are depicted below:2. Principle of Cost of Capital: The various sources of raising working capital finance have different cost of capital and degree of risk involved. Generally, higher the risk lower is cost and lower the risk higher is the cost. A sound working capital management should always try to achieve proper balance between these two. 3. Principle of Equity Position: This principle is concerned with planning the total investment in current assets. According to this principle, the amount of working capital invested in each component should be adequately justified by firm’s equity position. Every rupee invested in current assets should contribute to the net worth of firm. The level of current assets may be measured with help of two ratios. (i) Current assets as a percentage of total assets and (ii) Current assets as a percentage of total sales. 4. Principle of Maturity of Payment: This principle is concerned with planning the sources of finance for working capital. According to this principle, a firm should make every effort to relate maturities of payment to its flow of internally generated funds. Generally, shorter the maturity schedule of current liabilities in relation to expected cash inflows, the greater inability to meet its obligations in time. (1) The Hedging or Matching Approach: The term ‘hedging’ refers to two off-selling transactions of a simultaneous but opposite nature which counterbalance effect of each other. With reference to financing mix, the term hedging refers to ‘process of matching of maturities of debt with maturities of financial needs’. According to this approach the maturity of sources of funds should match the nature of assets to be financed. This approach is also known as ‘matching approach’ which classifies the requirements of total working capital into permanent and temporary working capital. The hedging approach suggests that permanent working capital requirements should be financed with funds from long-term sources while temporary working capital requirements should be financed with short-term funds. (2) The Conservative Approach: This approach suggests that the entire estimated investments in current assets should be financed from long-term sources and short-term sources should be used only for emergency requirements. The distinct features of this approach are: (i) Liquidity is greater (ii) Risk is minimised (iii)The cost of financing is relatively more as interest has to be paid even on seasonal requirements for entire period. Trade off Between the Hedging and Conservative Approaches The hedging approach implies low cost, high profit and high risk while the conservative approach leads to high cost, low profits and low risk. Both the approaches are the two extremes and neither of them serves the purpose of efficient working capital management. A trade off between the two will then be an acceptable approach. The level of trade off may differ from case to case depending upon the perception of risk by the persons involved in financial decision making. However, one way of determining the trade off is by finding the average of maximum and the minimum requirements of current assets. The average requirements so calculated may be financed out of long-term funds and excess over the average from short-term funds. (3). Aggressive Approach: The aggressive approach suggests that entire estimated requirements of current asset should be financed from short-term sources even a part of fixed assets investments be financed from short-term sources. This approach makes the finance – mix more risky, less costly and more profitable. Hedging Vs Conservative Approach Hedging Approach Conservative Approach 1. The cost of financing is 1. The cost of financing is reduced. higher 2. The investment in net 2. Large Investment is blocked in temporary working capital is nil. working capital. 3. Frequent efforts are 3. The firm does not face required to arrange frequent financing funds. problems. 4. The risk is increased as 4. It is less risky and firm is firm is vulnerable to able to absorb shocks. sudden shocks. Cash Management Cash management is the corporate process of collecting and managing cash, as well as using it for (short-term) investing. It is a key component of ensuring a company's financial stability and solvency. Corporate treasurers or business managers are frequently responsible for overall cash management and the related responsibilities to remain solvent. Successful cash management involves not only avoiding insolvency, but also reducing the length of account receivables (AR), increasing collection rates, selecting appropriate short-term investment vehicles, and increasing cash on hand to improve a company's cash position and profitability. Successfully managing cash is an essential skill for small business developers, because they typically have less access to affordable credit and have a significant amount of upfront costs to manage while waiting for receivables. Wisely managing cash enables a company to meet unexpected expenses, and to handle regularly occurring events such as payroll distribution. Cash management is a broad term that refers to the collection, concentration, and disbursement of cash. The goal is to manage the cash balances of an enterprise in such a way as to maximize the availability of cash not invested in fixed assets or inventories and to do so in such a way as to avoid the risk of insolvency. Factors monitored as a part of cash management include a company's level of liquidity, its management of cash balances, and its short-term investment strategies. In some ways, managing cash flow is the most important job of business managers. If at any time a company fails to pay an obligation when it is due because of the lack of cash, the company is insolvent. Insolvency is the primary reason firms go bankrupt. Obviously, the prospect of such a dire consequence should compel companies to manage their cash with care. Moreover, efficient cash management means more than just preventing bankruptcy. It improves the profitability and reduces the risk to which the firm is exposed. Cash management is particularly important for new and growing businesses. Cash flow can be a problem even when a small business has numerous clients, offers a product superior to that offered by its competitors, and enjoys a sterling reputation in its industry. Companies suffering from cash flow problems have no margin of safety in case of unanticipated expenses. They also may experience trouble in finding the funds for innovation or expansion. It is, somewhat ironically, easier to borrow money when you have money. Finally, poor cash flow makes it difficult to hire and retain good employees. It is only natural that major business expenses are incurred in the production of goods or the provision of services. In most cases, a business incurs such expenses before the corresponding payment is received from customers. In addition, employee salaries and other expenses drain considerable funds from most businesses. These factors make effective cash management an essential part of any business's financial planning. Cash is the lifeblood of a business. Managing it efficiently is essential for success. When cash is received in exchange for products or services rendered, many small business owners, intent on growing their company and tamping down debt, spend most or all of these funds. But while such priorities are laudable, they should leave room for businesses to absorb lean financial times down the line. The key to successful cash management, therefore, lies in tabulating realistic projections, monitoring collections and disbursements, establishing effective billing and collection measures, and adhering to budgetary restrictions. Functions of Cash Management Cash management is the treasury function of a business, responsible for achieving optimal efficiency in two key areas: receivables, which is cash coming in, and payables, which is cash going out. Receivables Management When a business issues an invoice it is reported as a receivable, which is cash earned but yet to be received. Depending on the terms of the invoice, the business may have to wait 30, 60 or 90 days for the cash to be received. It is common for a business to report increasing sales, yet still run into a cash crunch because of slow or poorly managed receivables. There are a number of things a business can do to accelerate its receivables and reduce payment float, including clarifying billing terms with customers, using an automated billing service to bill customers immediately, using electronic payment processing through a bank to collect payments, and staying on top of collections with an aging receivables report. Payables Management When a business controls its payables, it can better control its cash flow. By improving the overall efficiency of the payables process, a business can reduce costs and keep more cash working in the business. Payables management solutions, such as electronic payment processing, direct payroll deposit, and controlled disbursement can streamline and automate the payable functions. Most of the receivables and payables management functions can be automated using business banking solutions. The digital age has opened up opportunities for smaller businesses to access the same large-scale cash management technologies used by bigger companies. The cost savings generated from more efficient cash management techniques easily offsets the costs. More importantly, management will be able to reallocate precious resources to growing the business. Motives For Holding Cash Cash is known as most liquid and less productive assets of a firm. If cash remains idle, earns nothing but involves cost in terms of interest payable to finance it. Although cash is least productive current assets, firm should hold certain amount of cash for marketable securities. Mainly, there are three motives for holding cash. 1. Transaction Motive Of Holding Cash Transaction motive refers to the need to hold cash to satisfy normal disbursement collection activities associated with a firm's ongoing operation. Transaction means the act of giving and taking of cash or kinds in the ordinary course of business. A firm frequently involves in purchase and sales of goods or services. A firm should make payment in terms of cash for the purchase of goods, payment of salary, wages, rent, interest, tax, insurance, dividend and so on. A firm also receives cash in terms of sales revenue, interest on loan, return on investments made outside the firm and so on. If these receipts and payments were perfectly synchronized, a firm would not have to hold cash for transaction motive. But in real, cash inflows and outflows cannot be matched exactly. Some times receipts of cash exceeds the disbursement whereas at other time disbursement exceeds the receipt. Because of this reason, if disbursement exceeds the receipt, a firm should hold certain level of cash to meet current payment of cash in excess of its receipt during the period. 2. Precautionary Motive Of Holding Cash Precautionary motive refers to hold cash as a safety margin to act as a financial reserve. A firm should hold some cash for the payment of unpredictable or unanticipated events. A firm may have to face emergencies such as strikes and lock-up from employees, increase in cost of raw materials, funds and labor, fall in market demand and so on. These emergencies also bound a firm to hold certain level of cash. But how much cash is held against these emergencies depends on the degree of predictability associated with future cash flows. If there is high degree of predictability, less cash balance is sufficient. Some firms may have strong borrowing capacity at a very short notice, so that they can borrow at the time when emergencies occur. Such a firm may hold very minimum amount of cash for this motive. 3. Speculative Motive Of Holding Cash The speculative motive refers to the need to hold cash in order to be able to take advantage of bargain purchases that might arise, attractive interest rates and favorable exchange rate fluctuations. Some firms hold cash in excess than transaction and precautionary needs to involve in speculation. Speculative needs for holding cash require that a firm possibly may have some profitable opportunities to exploit, which are out of the normal course of business. These opportunities arise in conditions, when price of raw material is expected to fall, when interest rate on borrowed funds are expected to decline and purchase of inventory occurs at reduced price on immediate cash payment. Principles of cash management 1. Accelerated Cash Collection. This is another arrangement made by the company to accelerate cash collection. Under this arrangement the company hires a post office box at important collection centers. The customers are directed to make the payment directly to the lock box. The local bankers collect cheques from the lock box and deposit in the bank account. Bank informs the company about the details after crediting the cheques to the company’s account. This system reduces the postal float as well as bank float but at the same time it involves cost. 2. Delay cash payment 3. Invest excess cash available 4. Maintain minimum cash balance Receivables Management A sound managerial control requires proper management of liquid assets and inventory. These assets are a part of working capital of the business. An efficient use of financial resources is necessary to avoid financial distress. Receivables result from credit sales. A concern is required to allow credit sales in order to expand its sales volume. It is not always possible to sell goods on cash basis only. Sometimes, other concerns in that line might have established a practice of selling goods on credit basis. Under these circumstances, it is not possible to avoid credit sales without adversely affecting sales. The increase in sales is also essential to increase profitability. After a certain level of sales the increase in sales will not proportionately increase production costs. The increase in sales will bring in more profits. Thus, receivables constitute a significant portion of current assets of a firm. But, for investment in receivables, a firm has to incur certain costs. Further, there is a risk of bad debts also. It is, therefore, very necessary to have a proper control and management of receivables. Meaning of Receivables Receivables represent amounts owed to the firm as a result of sale of goods or services in the ordinary course of business. These are claims of the firm against its customers and form part of its current assets. Receivables are also known as accounts receivables, trade receivables, customer receivables or book debts. The receivables are carried for the customers. The period of credit and extent of receivables depends upon the credit policy followed by the firm. The purpose of maintaining or investing in receivables is to meet competition, and to increase the sales and profits. Costs of Maintaining Receivables The allowing of credit to customers means giving funds for the customer’s use. The concern incurs the following cost on maintaining receivables: (1) Cost of Financing Receivables: When goods and services are provided on credit then concern’s capital is allowed to be used by the customers. The receivables are financed from the funds supplied by shareholders for long term financing and through retained earnings. The concern incurs some cost for colleting funds which finance receivables. (2) Cost of Collection: A proper collection of receivables is essential for receivables management. The customers who do not pay the money during a stipulated credit period are sent reminders for early payments. Some persons may have to be sent for collection these amounts. All these costs are known as collection costs which a concern is generally required to incur. (3) Bad Debts : Some customers may fail to pay the amounts due towards them. The amounts which the customers fail to pay are known as bad debts. Though a concern may be able to reduced bad debts through efficient collection machinery but one cannot altogether rule out this cost. Factors Influencing the Size of Receivables Besides sales, a number of other factors also influence the size of receivables. The following factors directly and indirectly affect the size of receivables. (1) Size of Credit Sales: The volume of credit sales is the first factor which increases or decreases the size of receivables. If a concern sells only on cash basis as in the case of Bata Shoe Company, then there will be no receivables. The higher the part of credit sales out of total sales, figures of receivables will also be more or vice versa. (2) Credit Policies: A firm with conservative credit policy will have a low size of receivables while a firm with liberal credit policy will be increasing this figure. If collections are prompt then even if credit is liberally extended the size of receivables will remain under control. In case receivables remain outstanding for a longer period, there is always a possibility of bad debts. (3) Terms of Trade: The size of receivables also depends upon the terms of trade. The period of credit allowed and rates of discount given are linked with receivables. If credit period allowed is more then receivables will also be more. Sometimes trade policies of competitors have to be followed otherwise it becomes difficult to expand the sales. (4) Expansion Plans: When a concern wants to expand its activities, it will have to enter new markets. To attract customers, it will give incentives in the form of credit facilities. The period of credit can be reduced when the firm is able to get permanent customers. In the early stages of expansion more credit becomes essential and size of receivables will be more. (5) Relation with Profits: The credit policy is followed with a view to increase sales. When sales increase beyond a certain level the additional costs incurred are less than the increase in revenues. It will be beneficial to increase sales beyond the point because it will bring more profits. The increase in profits will be followed by an increase in the size of receivables or vice-versa. (6) Credit Collection Efforts: The collection of credit should be streamlined. The customers should be sent periodical reminders if they fail to pay in time. On the other hand, if adequate attention is not paid towards credit collection then the concern can land itself in a serious financial problem. An efficient credit collection machinery will reduce the size of receivables. (7) Habits of Customers: The paying habits of customers also have bearing on the size of receivables. The customers may be in the habit of delaying payments even though they are financially sound. The concern should remain in touch with such customers and should make them realise the urgency of their needs. Meaning and Objectives of Receivables Management Receivables management is the process of making decisions relating to investment in trade debtors. We have already stated that certain investment in receivables is necessary to increase the sales and the profits of a firm. But at the same time investment in this asset involves cost considerations also. Further, there is always a risk of bad debts too. Thus, the objective of receivables management is to take a sound decision as regards investment in debtors. In the words of Bolton, S.E., the objectives of receivables management is “to promote sales and profits until that point is reached where the return on investment in further funding of receivables is less than the cost of funds raised to finance that additional credit.” Dimensions of Receivables Management Receivables management involves the careful consideration of the following aspects: 1. Forming of credit policy. 2. Executing the credit policy. 3. Formulating and executing collection policy. 1. Forming of Credit Policy For efficient management of receivables, a concern must adopt a credit policy. A credit policy is related to decisions such as credit standards, length of credit period, cash discount and discount period, etc. (a) Quality of Trade Accounts of Credit Standards: The volume of sales will be influenced by the credit policy of a concern. By liberalising credit policy the volume of sales can be increased resulting into increased profits. The increased volume of sales is associated with certain risks too. It will result in enhanced costs and risks of bad debts and delayed receipts. The increase in number of customers will increase the clerical wok of maintaining the additional accounts and collecting of information about the credit worthiness of customers. There may be more bad debt losses due to extension of credit to less worthy customers. These customers may also take more time than normally allowed in making the payments resulting into tying up of additional capital in receivables. On the other hand, extending credit to only credit worthy customers will save costs like bad debt losses, collection costs, investigation costs, etc. The restriction of credit to such customers only will certainly reduce sales volume, thus resulting in reduced profits. A finance manager has to match the increased revenue with additional costs. The credit should be liberalised only to the level where incremental revenue matches the additional costs. The quality of trade accounts should be decided so that credit facilities are extended only upto that level. The optimum level of investment in receivables should be where there is a trade off between the costs and profitability. On the other hand, a tight credit policy increases the liquidity of the firm. On the other hand, a tight credit policy increases the liquidity of the firm. Thus, optimum level of investment in receivables is achieved at a point where there is a trade off between cost, profitability and liquidity as depicted below: (b) Length of Credit Period: Credit terms or length of credit period means the period allowed to the customers for making the payment. The customers paying well in time may also be allowed certain cash discount. A concern fixes its own terms of credit depending upon its customers and the volume of sales. The competitive pressure from other firms compels to follow similar credit terms, otherwise customers may feel inclined to purchase from a firm which allows more days for paying credit purchases. Sometimes more credit time is allowed to increase sales to existing customers and also to attract new customers. The length of credit period and quantum of discount allowed determine the magnitude of investment in receivables. (c) Cash Discount: Cash discount is allowed to expedite the collection of receivables. The concern will be able to use the additional funds received from expedited collections due to cash discount. The discount allowed involves cost. The discount should be allowed only if its cost is less than the earnings from additional funds. If the funds cannot be profitably employed then discount should not be allowed. (d) Discount Period: The collection of receivables is influenced by the period allowed for availing the discount. The additional period allowed for this facility may prompt some more customers to avail discount and make payments. This will mean additional funds released from receivables which may be alternatively used. At the same time the extending of discount period will result in late collection of funds because those who were getting discount and making payments as per earlier schedule will also delay their payments. 2. Executing Credit Policy After formulating the credit policy, its proper execution is very important. The evaluation of credit applications and finding out the credit worthiness of customers should be undertaken. (a) Collecting Credit information: The first step in implementing credit policy will be to gather credit information about the customers. This information should be adequate enough so that proper analysis about the financial position of the customers is possible. This type of investigation can be undertaken only upto a certain limit because it will involve cost. The sources from which credit information will be available should be ascertained. The information may be available from financial statements, credit rating agencies, reports from banks, firm’s records etc. Financial reports of the customer for a number of years will be helpful in determining the financial position and profitability position. The balance sheet will help in finding out the short term and long term position of the concern. The income statements will show the profitability position of concern. The liquidity position and current assets movement will help in finding out the current financial position. A proper analysis of financial statements will be helpful in determining the credit worthiness of customers. There are credit rating agencies which can supply information about various concerns. These agencies regularly collect information about business units from various sources and keep this information upto date. The information is kept in confidence and may be used when required. Credit information may be available with banks too. The banks have their credit departments to analyse the financial position of a customer. In case of old customers, business own records may help to know their credit worthiness. The frequency of payments, cash discounts availed, interest paid on over due payments etc. may help to form an opinion about the quality of credit. (b) Credit Analysis: After gathering the required information, the finance manager should analyse it to find out the credit worthiness of potential customers and also to see whether they satisfy the standards of the concern or not. The credit analysis will determine the degree of risk associated with the account, the capacity of the customer borrow and his ability and willingness to pay. (c) Credit Decision: After analysing the credit worthiness of the customer, the finance manager has to take a decision whether the credit is to be extended and if yes then upto what level. He will match the creditworthiness of the customer with the credit standards of the company. If customer’s creditworthiness is above the credit standards then there is no problem in taking a decision. It is only in the marginal case that such decisions are difficult to be made. In such cases the benefit of extending the credit should be compared to the likely bad debt losses and then decision should be taken. In case the customers are below the company credit standards then they should not be outrightly refused. Rather they should be offered some alternative facilities. A customer may be offered to pay on delivery of goods, invoices may be sent through bank. Such a course help in retaining the customers at present and their dealings may help in reviewing their requests at a later date. (d) Financing Investments in Receivables and Factoring: Accounts receivables block a part of working capital. Efforts should be made that funds are not tied up in receivables for longer periods. The finance manager should make efforts to get receivables financed so that working capital needs are met in time. The quality of receivables will determine the amount of loan. The banks will accept receivable of dependable parties only. Another method of getting funds against receivables is their outright sale to the bank. The bank will credit the amount to the party after deducting discount and will collect the money from the customers later. Here too, the bank will insist on quality receivables only. Besides banks, there may be other agencies which can buy receivables and pay cash for them. This facility is known asfactoring. The factoring may be with or without recourse. It is without recourse then any bad debt loss is taken up by the factor but if it is with recourse then bad debts losses will be recovered from the seller. Factoring is collection and finance service designed to improve he cash flow position of the sellers by converting sales invoices into ready cash. The procedure of factoring can be explained as follows: 1. Under an agreement between the selling firm and factor firm, the latter makes an appraisal of the credit worthiness of potential customers and may also set the credit limit and term of credit for different customers. 2. The sales documents will contain the instructions to make payment directly to factor who is responsible for collection. 3. When the payment is received by the factor on the due date the factor shall deduct its fees, charges etc and credit the balance to the firm’s accounts. 4. In some cases, if agreed the factor firm may also provide advance finance to selling firm for which it may charge from selling firm. In a way this tantamount to bill discounting by the factor firm. However factoring is something more than mere bill discounting, as the former includes analysis of the credit worthiness of the customer also. The factor may pay whole or a substantial portion of sales vale to the selling firm immediately on sales being effected. The balance if any, may be paid on normal due date. Benefits and Cost of Factoring A firm availing factoring services may have the following benefits: § Better Cash Flows § Better Assets Management § Better Working Capital Management § Better Administration § Better Evaluation § Better Risk Management However, the factoring involves some monetary and non-monetary costs as follows: Monetary Costs a) The factor firm charges substantial fees and commission for collection of receivables. These charges sometimes may be too much in view of amount involved. b) The advance fiancé provided by factor firm would be available at a higher interest costs than usual rate of interest. Non-Monetary Costs a) The factor firm doing the evaluation of credit worthiness of the customer will be primarily concerned with the minimization of risk of delays and defaults. In the process it may over look sales growth aspect. b) A factor is in fact a third party to the customer who may not feel comfortable while dealing with it. c) The factoring of receivables may be considered as a symptom of financial weakness. Factoring in India is of recent origin. In order to study the feasibility of factoring services in India, the Reserve Bank of India constituted a study group for examining the introduction of factoring services, which submitted its report in 1988.On the basis of the recommendations of this study group the RBI has come out with specific guidelines permitting a banks to start factoring in India through their subsidiaries. For this country has been divided into four zones. In India the factoring is still not very common. The first factor i.e. The SBI Factor and Commercial Services Limited started working in April 1991. The guidelines for regulation of a factoring are as follows: (1) A factor firm requires an approval from Reserve Bank of India. (2) A factor firm may undertake factoring business or other incidental activities. (3) A factor firm shall not engage in financing of other firms or firms engaged in factoring. 3. Formulating and Executing Collection Policy The collection o f amounts due to the customers is very important. The collection policy the termed as strict and lenient. A strict policy of collection will involve more efforts on collection. Such a policy has both positive and negative effects. This policy will enable early collection of dues and will reduce bad debt losses. The money collected will be used for other purposes and the profits of the concern will go up. On the other hand a rigorous collection policy will involve increased collection costs. It may also reduce the volume of sales. A lenient policy may increase the debt collection period and more bad debt losses. A customer not clearing the dues for long may not repeat his order because he will have to pay earlier dues first, thus causing. The objective is to collect the dues and not to annoy the customer. The steps should be like (i) sending a reminder for payments (ii) Personal request through telephone etc. (iii) Personal visits to the customers (iv) Taking help of collecting agencies and lastly (v) Taking legal action. The last step should be taken only after exhausting all other means because it will have a bad impact on relations with customers. Illustration 1: A company has prepared the following projections for a year Sales 21000 units Selling Price per unit Rs.40 Variable Costs per unit Rs.25 Total Costs per unit Rs.35 Credit period allowed One month The company proposes to increase the credit period allowed to its customers from one month to two months .It is envisaged that the change in policy as above will increase the sales by 8%. The company desires a return of 25% on its investment. You are required to examine and advise whether the proposed credit policy should be implemented or not? Solution: Particulars Present Proposed Incremental Sales (units) 21000 22680 1680 Contribution per unit Rs.15 Rs.15 Rs.15 Total Contribution Rs.3,15,000 Rs.3,40,000 Rs.25,200 Variable cost @ Rs.25 5,25,000 2,10,000 Fixed Cost 7,35,000 5,67,000 42,000 2,10,000 ------ 7,77,000 42,000 1 month 2 month ----- Rs.61250 Rs.1,29,500 Rs.68,250 Total Cost Credit period Average debtors at cost Incremental Return = Increased Contribution/Extra Funds Blockage *100 = Rs.25,200/Rs.68,250*100 =36.92% Illustration 2: ABC & Company is making sales of Rs.16,00,000 and it extends a credit of 90 days to its customers. However, in order to overcome the financial difficulties, it is considering to change the credit policy. The proposed terms of credit and expected sales are given hereunder: Policy Terms Sales I 75 days Rs.15,00,000 II 60 days Rs. 14,50,000 III 45 days Rs 14,25,000 IV 30 days Rs 13,50,000 V Rs.13,00,000 15 days The firm has variable cost of 80% and fixed cost of Rs.1,00,000. The cost of capital is 15%. Evaluate different policies and which policy should be adopted? Solution: figures in Rs. Particula Present I rs II III IV V Sales 16,00,0 00 15,00,0 00 14,50,0 00 14,25,0 00 13,50,0 00 13,00,0 00 -Variable cost 12,80,0 00 12,00,0 00 11,60,0 00 11,40,0 00 10,80,0 00 10,40,0 00 1,00,00 0 1,00,00 0 1,00,00 0 1,00,00 0 1,00,00 0 1,00,00 0 2,20,00 0 2,00,00 0 1,90,00 0 1,85,00 0 1,70,00 0 1,60,00 0 13,80,0 00 13,00,0 00 12,60,0 00 12,40,0 00 11,80,0 00 11,40,0 00 3,45,00 0 2,70,83 3 2,10,00 0 1,55,00 0 98,333 47,500 14,750 7,125 1,55,25 0 1,52,87 5 -- Fixed Cost Profit (A) Total Cost Average Receivab le (at cost) (Cost¸36 0x credit period Cost of debtors @ 15% (B) Net profit (A – B) 51,750 1,68,25 0 40,625 1,59,35 0 31,500 1,58,50 0 23,250 1,61,75 0 Illustration3: A trader whose current sales are Rs.15 lakhs per annum and average collection period is 30 days wants to pursue a more liberal credit policy to improve sales. A study made by consultant firm reveals the following information. Credit Policy Increase in sales increase in collection period A Rs.60,000 15 B 90,000 days 30 days C 1,50,000 45 days D 1,80,000 60 days E 90 days 2,00,000 The selling price per unit is Rs.5. Average Cost per unit is Rs.4 and variable cost per unit I Rs.2.75 paise per unit. The required rate of return on additional investments is 20 percent Assume 360 days a year and also assume that there are no bad debts. Which of the above policies would you recommend for adoption. Solution: Particulars Present A B C D E Credit period No. of units @ Rs.5 30 days 45 days 60 days 75 days 90 days 120 days 3,12,00 3,18,00 3,30,00 3,36,00 0 0 0 0 3,40,00 3,00,00 0 0 Sales Variable cost@ 2.75 15,60,0 15,90,0 16,50,0 16,80,0 00 00 00 00 17,00,0 00 Fixed Cost Total Cost 15,00,0 00 8,58,00 8,74,50 9,07,50 9,24,00 0 0 0 0 9,35,00 0 Profit (A) Average debtors(at cost) 3,75,00 3,75,00 3,75,00 3,75,00 0 0 0 0 3,75,00 0 12,33,0 12,49,5 12,82,5 12,99,0 8,25,00 00 00 00 00 13,10,0 0 00 cost¸360x credit period Cost of 3,27,00 3,40,50 3,67,50 3,81,00 0 0 0 0 3,90,00 0 3,75,00 investmen t@ 20% (B) Net Profit (A-B) 0 1,54,12 2,08,25 2,67,18 3,24,75 5 0 8 0 12,00,0 00 3,00,00 0 30,825 41,650 53,437 4,36,66 7 64,950 87,333 1,00,00 2,96,17 2,98,85 3,14,06 3,16,05 0 5 0 3 0 3,02,66 7 20,000 2,80,00 0 The receivables emerge when goods are sold on credit and the payments are deferred by the customers. So, every firm should have a well-defined credit policy. The receivables management refers to managing the receivables in the light of costs and benefit associated with a particular credit policy. Receivables management involves the careful consideration of the following aspects: Forming of credit policy, Executing the credit policy, Formulating and executing collection policy. The credit policy deals with the setting of credit standards and credit terms relating to discount and credit period. The credit evaluation includes the steps required for collection and analysis of information regarding the credit worthiness of the customer.