Working Capital Policy 1 Learning Objectives Understand the importance of working capital. The liquidity-profitability trade-off. Determining the optimal level of current assets. The risk and return implications of alternative approaches to working capital financing policy. 2 The Importance of Managing and Accumulating Working Capital Working capital is the amount of the firm’s current assets: cash, accounts receivable, marketable securities, inventory and prepaid expenses. Managing the level and financing of working capital is necessary: – to keep costs under control (e.g. storage of inventory) – to keep risk levels at an appropriate level (e.g. liquidity) 3 Managing Current Assets & Liabilities Net Working Capital = Current Assets - Current Liabilities Determining the “Correct” level of Working Capital – Balance Risk & Return – Benefits of Working Capital Higher Liquidity (Lowers Risk) – Costs of Working Capital Lower Returns - $$ invested in lower returning securities rather than production. 4 Example: Risk-Return Trade-off Compare the 2 following companies Marketable Securities Other Current Assets Fixed Assets Total Assets Firm 1 0 200 800 1000 Operating Earnings Interest Earned EBT Taxes (40%) Net Income Firm 1 150 0 150 -60 90 Current Ratio 2 Firm 1 ST Debt 100 LT Debt 400 Common Stock 500 Total Liabilities&Equity 1000 Current Ratio = Current Assets Current Liabilities = 200 100 = 2 5 Example: Risk-Return Trade-off Compare the 2 following companies Marketable Securities Other Current Assets Fixed Assets Total Assets Firm 1 0 200 800 1000 Operating Earnings Interest Earned EBT Taxes (40%) Net Income Firm 1 150 0 150 -60 90 Firm 1 ST Debt 100 LT Debt 400 Common Stock 500 Total Liabilities&Equity 1000 Return on Assets = = Net Income Assets 90 1000 = .09 = 9% Current Ratio ROA 2 9% 6 Example: Risk-Return Trade-off Compare the 2 following companies Marketable Securities Other Current Assets Fixed Assets Total Assets Firm 1 0 200 800 1000 Firm 2 200 200 800 1200 Operating Earnings Interest Earned EBT Taxes (40%) Net Income Firm 1 150 0 150 -60 90 Firm 2 150 8 158 -63 95 Current Ratio ROA 2 9% Firm 1 ST Debt 100 LT Debt 400 Common Stock 500 Total Liabilities&Equity 1000 Firm 2 100 400 700 1200 Firm 2: $200 Marketable Securities Financed with Common Stock 200 x 4% = $8 interest earned 7 Example: Risk-Return Trade-off Compare the 2 following companies Marketable Securities Other Current Assets Fixed Assets Total Assets Firm 1 0 200 800 1000 Firm 2 200 200 800 1200 Operating Earnings Interest Earned EBT Taxes (40%) Net Income Firm 1 150 0 150 -60 90 Firm 2 150 8 158 -63 95 Current Ratio ROA 2 9% 4 Firm 1 ST Debt 100 LT Debt 400 Common Stock 500 Total Liabilities&Equity 1000 Firm 2 100 400 700 1200 Current Ratio = CA CL = 400 100 =4 8 Example: Risk-Return Trade-off Compare the 2 following companies Marketable Securities Other Current Assets Fixed Assets Total Assets Firm 1 0 200 800 1000 Firm 2 200 200 800 1200 Operating Earnings Interest Earned EBT Taxes (40%) Net Income Firm 1 150 0 150 -60 90 Firm 2 150 8 158 -63 95 2 9% 4 7.9% Current Ratio ROA Firm 1 ST Debt 100 LT Debt 400 Common Stock 500 Total Liabilities&Equity 1000 Return on Assets = = Firm 2 100 400 700 1200 NI Assets 95 1200 =.079 = 7.9% 9 Example: Risk-Return Trade-off Compare the 2 following companies Marketable Securities Other Current Assets Fixed Assets Total Assets Firm 1 0 200 800 1000 Firm 2 200 200 800 1200 Operating Earnings Interest Earned EBT Taxes (40%) Net Income Firm 1 150 0 150 -60 90 Firm 2 150 8 158 -63 95 2 9% 4 7.9% Current Ratio ROA Firm 1 ST Debt 100 LT Debt 400 Common Stock 500 Total Liabilities&Equity 1000 Firm 2 100 400 700 1200 Firm 1 Firm 2 Higher ROA Less Liquid Riskier Lower ROA More Liquid Less Risky 10 Variation in assets over time Total Assets $5M } Fixed Assets Time Assume ZERO Long-term Growth 11 Variation in assets over time Total Assets $7M $5M } Permanent Current Assets } Fixed Assets Time 12 Variation in assets over time Total Assets $10M Temporary Current Assets $7M $5M } Permanent Current Assets } Fixed Assets Time 13 Different Approaches to Financing Conservative Approach – Finance all fixed assets, permanent current assets, and some temporary with LT debt or equity. ST financing is used for the remaining temp. current assets. – Lower risk, lower return 14 Financing Current Assets: Conservative Approach Total Assets Short-term Sources $10M $7M $5M Long-term Sources Temporary Current Assets } Permanent Current Assets } Fixed Assets Time 15 Different Approaches to Financing Conservative Approach – Finance all fixed assets, permanent current assets, and some temporary with LT debt or equity. ST financing is used for the remaining temp. current assets. – Lower risk, lower return Moderate Approach (Maturity Matching) – Finance fixed assets and permanent current assets with LT funds and temporary current assets with ST funds. – Moderate risk, moderate return 16 Financing Current Assets: Moderate Approach Total Assets $10M Temporary Current Assets $5M Long-term Sources $7M } Permanent Current Assets } Fixed Assets Time 17 Financing Current Assets: Moderate Approach Total Assets Short-term Sources $10M Temporary Current Assets $5M Long-term Sources $7M } Permanent Current Assets } Fixed Assets Time 18 Different Approaches to Financing Conservative Approach – Finance all fixed assets, permanent current assets, and some temporary with LT debt or equity. ST financing is used for the remaining temp. current assets. – Lower risk, lower return Moderate Approach (Maturity Matching) – Finance fixed assets and permanent current assets with LT funds and temporary current assets with ST funds. – Moderate risk, moderate return Aggressive Approach – Finance all temporary current assets, permanent current assets, and some fixed assets with ST debt. LT financing is used for the remaining fixed assets. – Higher risk, higher return 19 Financing Current Assets: Aggressive Approach Total Assets $10M Short-term Sources Temporary Current Assets $7M } $5M Long-term Sources Permanent Current Assets } Fixed Assets Time 20 Managing (WARM, SOFT) Cash 21 How much cash should a firm keep on hand? Managers must keep enough cash to make payments when needed. (Minimum balance) But since cash is a non-earning asset, managers should invest excess returns and keep just the amount of cash that is necessary. (Maximum balance) 23 The size of the minimum cash balance depends on: How quickly and cheaply a firm can raise cash when needed. How accurately managers can predict cash requirements. How much precautionary cash the managers need for emergencies. Link to Dun & Bradstreet 24 The firm’s maximum cash balance depends on: Available (short-term) investment opportunities – e.g. money market funds, CDs, commercial paper Expected return on investment opportunities (opportunity cost) – If high expected return, firms are quick to invest excess cash Transaction cost of withdrawing cash and making an investment Link to Bureau of Economic Analysis 25 Choosing the Optimum Cash Balance Cash Balances in a Typical Month | | | | | | | | | | | | | | | | | | | | | | | | | | | | Days of the Month 26 Choosing the Optimum Cash Balance Cash Balances in a Typical Month Invest Excess Cash | | | | | | | | | | | | | | | | | | | | | | | | | | | | Days of the Month 27 Choosing the Optimum Cash Balance Cash Balances in a Typical Month Sell Securities to obtain cash | | | | | | | | | | | | | | | | | | | | | | | | | | | | Days of the Month 28 The Miller - Orr Model The Miller-Orr Model provides a formula for determining the optimum cash balance, the point at which to sell securities (lower limit) and when to invest excess cash (upper limit). Depends on: – transaction costs of buying or selling securities – variability of daily cash – return on short-term investments 29 The Miller-Orr Model - Target Cash Balance (Z) 3 Z= 3 x TC x V +L 4xr where: TC = transaction cost of buying or selling securities V = variance of daily cash flows r = return on short-term investments L = minimum cash requirement 30 The Miller-Orr Model - Target Cash Balance (Z) Example: Suppose that short-term securities yield 5% per year (r) and it costs the firm $50 each time it buys or sells securities (TC). The variance of cash flows is $100,000 (V) and your bank requires $1,000 minimum checking account balance (L). 31 The Miller-Orr Model - Target Cash Balance (Z) Example 3 Z= 3 x 50 x 100,000 + $1,000 4 x .05/365 = $3,014 + $1,000 = $4,014 32 The Miller-Orr Mode - Upper Limit The upper limit for the cash account (H) is determined by the equation: H = 3Z - 2L where: Z = Target cash balance L = Lower limit In the previous example: H = 3 ($4,014) - 2($1,000) = $10,042 33 Forecasting Cash Needs - Cash Budget Used to determine monthly needs and surpluses for cash during the planning period Examines timing of cash inflows and outflows i.e. when checks are written and when deposits are made. Payments to suppliers are typically made some time after shipment is received. Receipts from credit customers are received some time after sale is recorded. 34 Cash Budget - Problem Rocky Mountain Climbing, Inc. (RMC) has the following information: Previous Sales November 2007 December 2007 130,000 125,000 January 2008 February 2008 March 2008 April 2008 120,000 260,000 140,000 140,000 Forecast Sales 35 Cash Budget - Problem Rocky Mountain Climbing, Inc. (RMC) has the following information: Previous Sales: November 2007 130,000 December 2007 125,000 Forecast sales for: January 2008 120,000 February 2008 260,000 March 2008 140,000 April 2008 140,000 Collections : 30% of customers pay cash 50% pay in month after sale 20% pay 2 months after sale 36 Cash Budget - Problem Other information for RMC Cash Budget: Purchases of inventory are 75% of sales and are made 2 months before sale and are paid for 1 month after delivery Other expenses Taxes $14,000 per month $10,000 due in March Cash Balance (Dec. 31, 2007) = $28,000 Minimum balance required by bank = $25,000 (ST borrowing rate = 6% annually) 37 Steps in the Cash Budget Forecast of monthly collections and other cash inflows Forecast of purchases and other cash outflows Summarize the effect on net monthly cash flows and determine borrowing needs or surpluses. 38 Cash Budget - Collections In each month RMC will collect cash from sales that have occurred in that month and in the preceding two months. In January, sales are 120,000 Collections: – 30% x $120,000 (January sales) – 50% x $125,000 (December sales) – 20% x $130,000 (November sales) Total cash collected in January = 36,000 = 62,500 = 26,000 =$124,500 39 Cash Budget - Collections Sales made in January will not be fully collected until March. Collection of January Sales Nov Sales 130,000 Dec Jan Feb Mar 125,000 120,000 260,000 140,000 36,000 120,000 x .30 40 Cash Budget - Collections Sales made in January will not be fully collected until March. Collection of January Sales Nov Sales 130,000 Dec Jan Feb Mar 125,000 120,000 260,000 60,000 140,000 36,000 120,000 x .30 120,000 x .50 41 Cash Budget - Collections Sales made in January will not be fully collected until March. Collection of January Sales Nov Sales 130,000 Dec Jan Feb Mar 125,000 120,000 260,000 60,000 140,000 24,000 36,000 120,000 x .30 120,000 x .50 120,000 x .20 42 Cash Budget - Collections Calculate collections for other months. Nov Sales 130,000 Collections: Month of Sale (30%) First Month (50%) 2nd Month (20%) Total Collections Cash Budget RMC, Inc. Dec Jan 125,000 120,000 Feb 260,000 Mar 140,000 36,000 62,500 26,000 124,500 78,000 60,000 25,000 163,000 42,000 130,000 24,000 196,000 43 Cash Budget Purchases/Payments Purchases are made 2 months prior to sale and are paid for 1 month later. Payments for January Purchases Nov Sales 130,000 90,000 Dec Jan Feb Mar 125,000 120,000 260,000 140,000 75% of January Sales Purchased in November 44 Cash Budget Purchases/Payments Purchases are made 2 months prior to sale and are paid for 1 month later. Payments for January Purchases Nov Sales 130,000 90,000 Dec Jan Feb Mar 125,000 120,000 260,000 140,000 90,000 75% of January Sales Purchased in November, Paid for in December 45 Cash Budget Purchases/Payments Calculate payments for all months. Note that in order to do a cash budget, you will need forecasts of sales for April. Nov Sales 130,000 Purchases Payments Cash Budget RMC, Inc. Dec Jan Feb 125,000 120,000 260,000 195,000 105,000 105,000 195,000 105,000 Mar 140,000 Apr 140,000 105,000 46 Cash Collections Material Payments Cash Budget RMC, Inc. Jan 124,500 195,000 Feb 163,000 105,000 Mar 196,000 105,000 Summary of Previous Calculations 47 Cash Collections Material Payments Other Payments: Other Expenses Tax Payments Cash Budget RMC, Inc. Jan 124,500 195,000 Feb 163,000 105,000 Mar 196,000 105,000 14,000 0 14,000 0 14,000 10,000 Remaining Cash Outflows 48 Cash Collections Material Payments Other Payments: Rent Other Expenses Tax Payments Net Monthly Change Cash Budget RMC, Inc. Jan 124,500 195,000 Feb 163,000 105,000 Mar 196,000 105,000 2,000 12,000 0 (84,500) 2,000 12,000 0 44,000 2,000 12,000 10,000 67,000 49 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) Needed (Borrowing) Loan Repayment Interest Cost Ending Cash Balance Cumulative Borrowing Feb 44,000 Mar 67,000 50 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) Loan Repayment Interest Cost Ending Cash Balance Cumulative Borrowing Feb 44,000 Mar 67,000 51 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Feb Mar Net Monthly Change (84,500) 44,000 67,000 Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) Target Ending Balance Loan Repayment Interest Cost Ending Cash Balance 25,000 Cumulative Borrowing 52 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Feb Mar Net Monthly Change (84,500) 44,000 67,000 Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Borrowing Required to Cumulative Borrowing cover Minimum Balance and Deficit 56,500+25,000 53 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 Mar 67,000 54 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 Mar 67,000 55 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 Mar 67,000 408 25,000 Interest Incurred on Prior Month Borrowing 81,500 x .005 56 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 43,592 408 25,000 Mar 67,000 Amount that can be repaid from monthly surplus 69,000 - 408 - 25,000=$43,592 57 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 43,592 408 25,000 37,908 Mar 67,000 New Loan Balance 81,500 - 43,592=$37,908 58 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 43,592 408 25,000 37,908 Mar 67,000 25,000 92,000 59 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 43,592 408 25,000 37,908 Mar 67,000 25,000 92,000 0 190 Interest Incurred on Prior Month Borrowing 37,908 x .005 60 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 43,592 408 25,000 37,908 Mar 67,000 25,000 92,000 0 37,908 190 Repay Outstanding Loan Balance 61 Analysis of Borrowing Needs Cash Budget RMC, Inc. Jan Net Monthly Change (84,500) Beginning Cash Balance 28,000 Ending Cash (No Borrow) (56,500) Needed (Borrowing) 81,500 Loan Repayment 0 Interest Cost 0 Ending Cash Balance 25,000 Cumulative Borrowing 81,500 Feb 44,000 25,000 69,000 0 43,592 408 25,000 37,908 Mar 67,000 25,000 92,000 0 37,908 190 53,902 0 Ending Cash Balance $53,902-$25,000=$28,902 Surplus 62 Analysis of Borrowing Needs Ending Cash Balance Cumulative Borrowing Cash Budget RMC, Inc. Jan 25,000 81,500 Feb 25,000 37,908 Mar 53,902 0 RMC needs to raise $81,500 in short-term debt in January, would probably take out a short-term bank loan. In March RMC has a 28,902 surplus. It would probably invest in marketable securities at this point in time. 63 Managing Cash Inflows and Outflows Generally managers try to increase the amount of cash flowing into a business during any given time period. They also try to slow down cash outflows. Collect early and Pay late (but not too late). 64 Managing Cash Flows Can increase cash inflows (or speed them up) by: – Increasing cash sales – Increasing credit sales collections Can decrease cash outflows (or slow them down) by: – Cutting costs – Taking full advantage of time allowed to pay obligations 65 Managing Cash Flows Can speed up inflows by: – Tightening up credit policy (as long as savings from reduced bad debts and collection costs exceed sales that may be lost) – Obtaining computerized fund transfers from customers – Using collection centers – Using a lockbox system Can slow down cash outflows by: – Delaying the payment of bills – Using remote disbursement banks 66 Accounts Receivable and Inventory 67 Learning Objectives How and why firms manage accounts receivable and inventory. Computation of optimum levels of accounts receivable and inventory. Alternative inventory management approaches. How firms make credit decisions and create collection policies. 68 Why do firms accumulate accounts receivable and inventory? Given that accounts receivable and inventory are assets that do not provide an explicit rate of return, it is important to understand why firms might still want to have these investments. Granting credit is often an essential business practice and can enhance sales. (But also will increase costs.) Holding adequate inventory is necessary to avoid loss of sales due to stock-outs. 69 Finding the Optimum Level of Accounts Receivable Firm’s managers must review the firm’s credit policies and evaluate the impact of any proposed changes in policies based on the NPV of incremental cash flows due to the change. This is similar to the method we used in determining the best capital budgeting projects to undertake. Link to Hoover’s Online 70 Accounts Receivable Management The terms of sale are generally stated in the form X / Y, n Z This means that the customer can deduct X percentage if the account is paid within Y days; otherwise, the account must be paid within Z days. Example: 2/10 n 30 – The company offers a 2% discount if account paid in 10 days. – Balance due in 30 days. 71 Effects of Tightening Credit Policy Raise credit standards – Fewer credit customers (could reduce sales) – Lower accounts receivable Shorten net due period – Fewer credit customers (could reduce sales) – Accounts paid sooner – Lower accounts receivable Reduce discount percentage – Fewer credit customers (could reduce sales) – Fewer take the discount Shorten discount period – Same as above 72 Average Collection Period (ACP) Old Policy; 2/10, n30 – – – – 35% of customers pay in 10 days 62% of customers pay in 30 days 3% of customers pay in 100 days ACP=(.35x10)+(.62x30)+(.03x100)=25.1 days New Policy; 2/10, n40 – – – – 35%of customers pay in 10 days 60% of customers pay in 40 days 5% of customers pay in 100 days ACP=(.35x10)+(.60x40)+(.05x100)=32.5 days 73 Analysis of Accts. Receivable Changes Develop pro forma financial statements for each policy under consideration. Use the pro formas to estimate incremental cash flows by comparing forecasts to current policy cash flows. Use the incremental cash flows to estimate the NPV of each policy change. Choose the policy change that maximizes the value of the firm (highest NPV). 74 Analysis of Accts. Receivable Changes Example: ABC Corporation is considering a credit policy change from offering no credit to offering 30 days credit with no discount (n 30). Why might they do this? -Increase sales -Increase market share What costs will the firm incur as a result? -Cost of carrying accounts receivable -Potential increase in bad debts -Credit analysis and collection costs 75 Analysis of Accts. Receivable Changes Assume the Net Incremental Cash Flows associated with ABC’s new credit policy are as follows: External financing (Init. Investment) = $28,000 t=0 – Increase in sales t=1,2... – Increase in COGS – Increase in Bad Debts – increase in Other Expenses – Increase in Interest Expense – Increase in Taxes – Total Incr. Operating Cash Flow = $30,000 = $15,000 = $3,000 = $5,000 = $500 = $2,600 = $3,900/yr. 76 Analysis of Accts. Receivable Changes Calculate the NPV of the change (k = 12%): PV of the expected inflows of $3,900 per year from t = 0 to infinity (perpetuity) = $3,900 / .12 = $32,500 NPV = PV of inflows - initial investment = $32,500 - $28,000 = $4,500 Since NPV > 0, ABC should undertake the credit policy change, assuming that the assumptions are valid and that the projected cash flows are accurate. 77 How Firms Make Credit Decisions The Five Cs of Credit: Character is the borrower’s willingness to pay based on past payment patterns. Capacity is the borrower’s ability to pay based on forecasts of future cash flows. Capital is how much wealth the borrower has to fall back on. Collateral is what the lender gets if the borrower fails to pay. Conditions faced by the borrower in the business marketplace are also considered. Link to Credit Scoring 78 Methods of Collection Most firms use some of the following: Send reminder letters. Make telephone calls. Hire collection agencies. Sue the customer. Settle for a reduced amount. Write off the bill as a loss. Sell accounts receivable to factors. 79 Inventory Management Typically, inventory accounts for about four to five percent of a firm's assets. In order to effectively manage the investment in inventory, two problems must be dealt with: how much to order and how often to order. The economic order quantity (EOQ) model attempts to determine the order size that will minimize total inventory costs. 80 Inventory Management Determining Optimal Inventory – Economic Order Quantity (EOQ) Total Total Inventory = Carrying + Costs Costs Total Ordering Costs Link to Bloomberg.com 81 The EOQ Model assumes the firm orders a fixed amount Q at equal intervals. Inventory Level (units) Order Quantity Q Time 82 The EOQ Model Inventory Level (units) Average Inventory = Order Quantity Q 2 2 Order Quantity Q Time 83 Total Total Inventory = Carrying + Costs Costs Total Inventory = Costs ( Total Ordering Costs OQ S ) CC + ( ) OC 2 OQ Where: OQ = Order Size (order quantity) S = Annual Sales Volume CC = Carrying Cost per Unit OC = Ordering Cost per Order 84 Ordering Costs = ( S )OC OQ Cost ($) Ordering Costs Order Size (units) 85 Ordering Costs = ( S )OC OQ Cost ($) Carrying Costs = ( OQ ) CC 2 Carrying Costs Order Size (units) 86 Ordering Costs = ( S )OC OQ Carrying Costs = ( OQ ) CC 2 Total Costs = Carrying Costs + Order Costs Cost ($) Order Size (units) 87 Inventory Management Determining Optimal Inventory – The economic order quantity that minimizes the total costs of inventory. EOQ = 2 x S x OC CC 88 Inventory Management Determining Optimal Inventory – Economic Order Quantity (EOQ) Example: Awesome Autos expects to sell 1,200 new automobiles in the next year. It currently costs $26 per order placed with the manufacturer. Carrying costs amount to $75 per auto. How many autos should they order each time they place an order? 2(1200)26 = 75 2 x S x OC EOQ = CC = 28.84 29 cars 89 Inventory Management Determining Optimal Inventory – Economic Order Quantity (EOQ) Example: Awesome Autos expects to sell 1,200 new automobiles in the next year. It currently costs $26 per order placed with the manufacturer. Carrying costs amount to $75 per auto. How many autos should they order each time they place an order? EOQ autos in each order Place 1,200/ 29 = 41.4 orders each year 90 Inventory Management with Safety Stock- Order before inventory is at zero. Inventory Level (units) Inventory Order Point EOQ Depleted Stock During Delivery Safety Stock Actual Delivery Time Time 91 Inventory Level (units) Order Quantity Q Time 92 ABC Inventory Classification System Tool to reduce inventory carrying costs: classify different types of inventory according to value. Example: – Class A: Expensive items are assigned a serial number and are checked daily. Replaced only as sold. – Class B: Moderately priced items are assigned a serial number but are checked less often (monthly) and managed according to EOQ. – Class C: Small inexpensive items. Check inventory annually and reorder by visual check. 93 Just In Time Inventory Control (JIT) Developed in Japan. Reduce raw material inventory carrying costs by making deals with suppliers that require them to deliver the raw materials as needed. Carrying costs are passed on to suppliers. Can result in higher costs if delivery is delayed: shut down of whole production line. 94 Short Term Financing 95 Learning Objectives The need for short-term financing. The advantages and disadvantages of shortterm financing. Three types of short-term financing. Computation of the cost of trade credit, commercial paper, and bank loans. How to use accounts receivable and inventory as collateral for short-term loans. 96 Why Do Firms Need Short-term Financing? Profits may not be sufficient to keep up with growth-related financing needs. Firms may prefer to borrow now for their needs rather than wait until they have saved enough. Short-term financing instead of long-term sources of financing due to: – easier availability – usually lower cost 97 Sources of Short-term Financing Short-term loans. – borrowing from banks and other financial institutions for one year or less. Trade credit. – borrowing from suppliers Commercial paper. – only available to large credit- worthy businesses. 98 Types of short-term loans: Promissory note – A legal IOU that spells out the terms of the loan agreement, usually the loan amount, the term of the loan and the interest rate. – Often requires that loan be repaid in full with interest at the end of the loan period. Self-liquidating loan – The proceeds of the loan are used to acquire assets that generate cash to repay the loan (e.g. inventory). 99 Types of short-term loans: Line of Credit – The borrowing limit that a bank sets for a firm. – May include many promissory notes that the firm has taken out at different times and with overlapping payment periods. – Usually informal agreement and may change over time Revolving credit agreement – Formal agreement with bank to extend credit to a firm for a period of time (can be more than one year). 100 Trade Credit Trade credit is the act of obtaining funds by delaying payment to suppliers. Even though it is obtained by simply delaying payment, it is not always free. The cost of trade credit may be some interest charge that the supplier charges on the unpaid balance. More often, it is in the form of a lost discount that would be given to firms who pay earlier. Credit has a cost. That cost may be passed along to the customer as higher prices, borne by the seller as lower profits, or some of both. 101 Estimation of Cost of Short-Term Credit Calculation is easiest if the loan is for a one year period: Effective Interest Rate is used to determine the cost of the credit to be able to compare differing terms. Effective Interest you pay = Interest Rate Amount you get to use Example: You borrow $10,000 from a bank and must pay $1,000 interest at the end of the year Your effective rate is the same as the stated rate = $1,000/$10,000 = .10 = 10% 102 Variations in Loan Terms A discount loan requires that interest be paid up front when the loan is given. This changes the effective cost in the previous example since you only get to use: ($10,000 - $1,000) = $9,000. Effective cost = $1,000/$9,000 = .1111 = 11.11%. 103 Variations in Loan Terms Sometimes lenders require that a minimum amount, called a compensating balance be kept in your bank account. If your compensating balance requirement is $500, then the amount you can use is reduced by that amount. Effective cost for a $10,000 simple interest 10% loan with a $500 compensating balance = $1,000/($10,000-$500) = .1053 = 10.53%. 104 Cost of Short-Term Credit For Periods Less Than One Year When loans are for less than one year, we must convert the cost to annual terms for comparison. e.g. A 1 month $10,000 loan requires that interest of $90 be paid: the monthly rate = 90/10,000 = .0090 = .9%. Use the following formula to equate: Effective Annual = Rate (1 + $ Interest $ you get to use (Periods/yr) -1 ) 105 Cost of Short-Term Credit For Periods Less Than One Year $10,000 loan for 1 month with monthly interest equal to $90. What is the effective annual interest rate? Effective annual rate = (1.009)12 - 1 = .1135 =11.35% Link to CNNfn 106 Cost of Short-Term Credit For Periods Less Than One Year What if the loan is a discount loan? Must pay the interest up front so that reduces the dollars available to use. $10,000 loan with .9%monthly interest: Effective annual rate 90 K= 1+ 10,000 - 90 ( 12 ) -1 = .1146 k = 11.46% 107 Sources of Short Term Credit Cost of Trade Credit – Typically receive a discount if you pay early. – Stated as: 2/10, net 60 Purchaser receives a 2% discount if payment is made within 10 days of the invoice date, otherwise payment is due within 60 days of the invoice date. – The cost is the form of the lost discount. 108 Cost of Trade Credit 2/10 net 60 Assume your purchase is $100 list. If you take the discount, you pay $98. If you don’t take the discount, you pay $100. Therefore, you are paying $2 for the privilege of borrowing $98 for the additional 50 days. (Note: the first 10 days are free in this example). 109 Cost of Trade Credit 2/10 net 60 The formula for cost of trade credit is similar to the previous equations. The exponent is the number of times per year the firm can take 50 days of credit. The cost of trade credit for this example: [1 +(2/98)])7.3 -1 = .1589 = 15.89%. Cost = of Credit ( 1+ Discount % 100-Discount% 365 days to pay - disc. pd. ( ( ) -1 110 Computing the Cost of Trade Credit Another Example Effective Annual Cost, k, of Passing Up a Discount; 2/10, n40 K = (1+ 2 100 - 2 ) ( 365 40 – 10 ) -1 = .2786 k = 27.86% 111 Commercial Paper Commercial paper is quoted on a discount basis so discount yield must be converted to effective annual interest rate for comparison. Compute the discount from face value (D) – D = (Discount yield x par x DTG)/360 – DTG = days to go (to maturity) Compute the price = Par - D Compute Effective Annual Rate = (par/price)(365/DTG) - 1 112 Cost of Commercial Paper Example $1 million issue of 90 day c.p. quoted at 4% discount yield. Step 1: Calculate D = .04 x $1 mill. x 90 360 = $10,000 Step 2: Calculate price = $1,000,000 - $10,000 = $990,000 Step 3: Calculate effective rate = (1,000,000 / 990,000) = 4.16% (365/90) -1 113 Accounts Receivable as Collateral A pledge is a promise that the borrowing firm will pay the lender any payments received from the accounts receivable collateral in the event of default. Since accounts receivable fluctuate over time, the lender may require certain safeguards to ensure that the value of the collateral does not go below the balance of the loan. Accounts receivable can also be sold outright. This is known as factoring. 114 Inventory as Collateral A major problem with inventory financing is valuing the inventory. For this reason, lenders will generally make a loan in the amount of only a fraction of the value of the inventory. The fraction will differ depending on the type of inventory. 115 Inventory as Collateral Blanket Lien: A general claim against the borrowers inventory if there is a default Trust Receipt: A legal document that identifies specific inventory as security for a loan Warehousing: Inventory pledged as collateral is removed from the control of the borrower (either in an on-site or public warehouse) 116