Chapter 9 Banking and Management of Financial Institutions • Because banking system plays a major role in channeling funds from the savers/lenders to investors/borrowers, it is important to study 1. how the banking system runs its business to maximize its profit, 2. how and why banks make loans, and 3. how they acquire funds and manage their assets and liabilities. THE BANK BALANCE SHEET • To understand how banking works we start by looking at the bank balance sheet. • The bank balance sheet is a list of the bank assets (what bank owns) and liabilities (what it owes) where total assets = total liabilities + bank’s equity capital (net worth) • Banks make profits by receiving interest rates on their asset holdings of securities and loans that is higher than the expenses of their liabilities. Liabilities • Liabilities are the sources of bank’s funds. Banks obtain funds by borrowing and by issuing (selling) other liabilities such as deposits. • Liabilities include 1. Checkable Deposits. They are bank accounts that allow the owner of the account to write checks to third parties. • Checkable deposits include 1. non-interest bearing checking account (demand deposits), 2. interest-bearing accounts (NOW accounts: negotiable order of withdrawal), and 3. money market deposit accounts (MMDAs). • MMDAs are not subject to reserve requirements as checkable deposits are, and are not included in the M1 definition of money. • Checkable deposits and money market deposit accounts are payable on demand, which means if a depositor shows up at the bank and requests payment by making a withdrawal the bank must pay him immediately. Similarly, if a person who receives a check written on an account from a bank and presents that checks at the bank, it must pay the funds out immediately. 2. Non-transaction deposits. They are the main source of bank funds. Owners cannot write checks on nontransaction deposits, but the interest rates paid on these deposits are usually higher than those on checkable deposits. There are two basic types of non-transaction deposits: saving accounts and time deposits (also called CDs). • Saving accounts, which funds can be added to or withdrawn from at any time. • Time deposits have a fixed maturity length and charge high penalties for early withdrawal. They are less liquid than saving accounts but earn higher interest rate. 3. Borrowings. Banks also obtain funds by borrowing from the central bank, other commercial banks, and corporations. 4. Bank Capital. Bank capital or net worth is the difference between total assets and total liabilities. Bank capital is raised by selling new equity (stock) or retained earnings. Assets • Assets are the uses to which funds are put. • The funds obtained from issuing liabilities are used to acquire incomeearning assets such as securities and loans. • Banks assets are the uses of funds, and the interest earned on them are what enable banks to make profit. • Asset side of the balance sheet includes 1. Reserves. Reserves include what banks keep with central bank plus currency (papers and coins) kept in the bank vaults. Reserves are held for two reasons: • First, it is required by regulations. Banks must keep a fraction (required reserve ratio) of the money in their checkable deposits as reserve. This is called required reserves (RR). • Second, banks hold additional reserves, called excess reserves (ER), to meet obligations when funds are withdrawn, directly by a depositors or indirectly when a check is written on an account. 2. Cash items in process of collection. When a check written on an account at another bank is deposited in your bank and the funds for this check has not been collected from the other bank, it is an asset for your bank because it is a claim on another bank for funds that will be paid within a few days. 3. Deposits at other banks (corresponding banking). Many small banks hold deposits in larger banks in exchange for a variety of services, including check collection, foreign exchange transactions, and help with securities purchase. 4. Securities. A bank’s holdings of securities are an important incomeearning asset. 5. Loans. Banks make their profits primarily by issuing loans. Because of the lack of liquidity and higher default risk, the bank earns its highest return on loans. 6. Other Assets. The physical capital (bank buildings, computer, and other equipment) owned by the banks is included in this category. BASIC BANKING • In general terms, banks make profits by selling liabilities with one set of characteristics (a particular combination of liquidity, risk, size, and return) and using the proceeds to buy assets with a different set of characteristics. This process is often referred to as asset transformation. • For example, a saving deposit held by one person can provide the funds that enable the bank to make a mortgage loan to another person. The bank has, in effect, transformed the saving deposits (an asset held by the depositor) to a mortgage loan (an asset held by the bank). • The process of transforming assets and providing a set of services (check clearing, record keeping, credit analysis, and so forth) is like any other production process in a firm. • If the bank produces desirable services at low cost and earns reasonable income on its assets, it earns profits; if not, the bank suffers losses. • To make the analysis of the operation of a bank more concrete, let us use a tool called T-account. • A T-account is a simplified balance sheet, with lines in the form of a T, that lists only the changes that occur in balance sheet items starting from some initial balance sheet position. • For example, if you have just opened a checking account with a $100 bill. You have a $100 checkable deposit at a bank (First Bank), which shows up as a $100 liability on the bank balance sheet. The bank now put your $100 bill into its vault so that the bank’s assets rise by the $100 increase in vault cash. • The T-account for the First Bank looks like this Assets Liabilities Vault cash +$100 Checkable deposits +100 • Because vault cash is part of reserves, we can rewrite the T-account as follows Assets Reserves +$100 Liabilities Checkable deposits +100 • Note that opening a new checking account leads to an increase in the bank's reserves equals to the increase in checkable deposits. • Alternatively, suppose you had opened the account with a $100 check written on an account at another bank (the Second Bank), we would get the same result. The initial effect on the T-account of your bank (the First Bank) is as follows: Assets Cash items in +$100 process of collection Liabilities Checkable deposits +100 • To collect the fund of its customer (you) from the Second Bank, the First bank will deposit the check in its account with the central bank, and the central bank will collect the funds from the Second Bank. • When the central bank transfers the $100 of reserves from the Second Bank to the First Bank and the final balance sheet position of the two banks are as follows Assets Reserves First Bank Liabilities $100 checkable deposits Assets Reserves Second Bank Liabilities - $100 checkable deposits $100 - $100 • When a bank receives additional deposits, it gains an equal amount of reserves; when it loses deposits, it loses an equal amount of reserves. • To make a profit, bank rearranges its balance sheet when it experiences a change in its deposits. • As we know, the bank obliged to keep a certain fraction of its checkable deposits as required reserves (RR). This fraction is called required reserves ratio (RRR). If the required reserves ratio is 10%, the First Bank required reserves have increased by $10. First Bank Assets RR ER + $10 + $90 Liabilities checkable deposits $100 • To make a profit, the bank must put to productive use all or part of the $90 of excess reserves it has available. • If the bank decides not to hold any excess reserves but to make loans instead, the T- account then looks like this Assets RR Loans First Bank Liabilities + $10 checkable deposits + $90 $100 • The bank now is making profit because it holds short term liabilities such as checkable deposits and uses the proceeds to buy longer-term assets such as loans with higher interest rates. • The above discussion has shown you how a bank operates. Now let us see how a bank manages its assets and liabilities to earn the highest profit. GENERAL PRINCIPLES OF BANK MANAGEMENT • The bank manager has five primary concerns: 1. To make sure that the bank has enough ready cash to pay its depositors when there are deposit-outflows (because depositors make withdrawals and demand payment). To keep enough cash on hand, the bank must engage in liquidity management, which is the acquisition of sufficiently liquid assets to meet the bank obligations to depositors. 2. To pursue an acceptable low level of risk by acquiring assets which have a low rate of default (credit risk) and by diversifying asset holdings (asset management). 3. To acquire funds at low cost (liability management). 4. To decide the amount of capital the bank should maintain and then acquire the needed capital (capital adequacy management). 5. To manage risks associated with financial institution practices such as interest-rate risk (the risk of earnings and returns on bank assets that results from interest-rate changes). 1. Liquidity Management and the Role of Reserves • To show how banks deal with deposit outflows that occur when depositors withdraw cash or write checks that are deposited in other banks let us assume that the bank has the following initial balance sheet with RRR=10% First Bank Assets Liabilities Reserves $20m Deposits Loans $80m Bank Capital Securities $10m $100m $ 10m • From the above information we can see that the bank has ER=$10 • If a deposit outflow of $10 millions occurs, the bank’s balance sheet becomes Assets Reserves Loans Securities $10 $80 $10 Liabilities Deposits Bank Capital $90 $10 • The bank loses $10m of deposits and $10m of reserves. • Its RR now is $9m and ER = $1m. • The conclusion is that if the bank has ER, a deposit outflow does not necessitate changes in other parts of its balance sheet. • The situation is quite different when a bank does not hold ER Assets Reserves Loans Securities Liabilities $10 Deposits $100 $90 Bank Capital $ 10 $10 • When the bank suffers the $10 million deposit outflows, its balance sheet becomes Assets Reserves Loans Securities Liabilities $ 0 Deposits $90 $90 Bank Capital $10 $10 • After $10 million has been withdrawn from deposits and hence reserves, the bank has a problem. The RR is $9 million, but the bank has no reserves. • To eliminate this shortfall , the bank has four options 1. To borrow the $9 million from other banks or corporations. The BS becomes Assets Reserves Loans Securities • $ 9 $90 $10 Liabilities Deposits $90 Borrowing from other banks and corporations $ 9 Bank Capital $10 The cost of this activity is the interest rate on these borrowings. 2. To sell some of its securities to help cover the deposit outflow. For example, it might sell $9m of securities and deposit the proceeds with the central bank, resulting in the following BS Assets Reserves Loans Securities • $ 9 $90 $ 1 Liabilities Deposits Bank Capital $90 $10 The bank incurs some brokerage and other transaction costs when it sells these securities. 3. To borrow $9 million in discount loans from the central bank. Its BS now would be Assets Reserves Loans Securities • Liabilities $ 9 Deposits $90 $90 Borrowing from the $10 central bank $ 9 Bank Capital $10 The cost associated with discount loans is the interest rate that must be paid to the central bank (called the discount rate). 4. To reduce the bank’s loans by $9 million and deposit the amount with the central bank. This transaction changes the BS as follows Assets Reserves Loans Securities $ 9 $81 $10 Liabilities Deposits Bank Capital $90 $10 • • This process is the costliest way of acquiring reserves because if the bank refuses to renew the loans to some of its customers this will upset them and may take their businesses away from the bank. And if the bank sells some of the loans off to other banks, these loans will be sold lower than their full value • The above discussion explains why banks hold ER even though loans or securities earn a higher return. • When a deposit outflow occurs, holding ER allows the bank to escape the costs of (1) borrowing from other banks or corporations, (2) selling securities, (3) borrowing from the central bank, or (4) calling in or selling off loans. • ERs are insurance against the costs associated with deposit outflows. • A bank is willing to pay the cost of holding ER (the opportunity cost, the earnings forgone by not holding income-earning assets such as loans or securities) to insure against loses due to deposit outflows. • Because ERs have a cost, banks also take other steps to protect themselves; for example, they might shift their holdings of assets to more liquid securities (secondary reserves). 2. Asset Management • To maximize its profits, a bank must simultaneously seek (1) the highest returns possible on loans and securities, (2) reduce risk, and (3) have efficient liquidity management. • In order for banks to accomplish these three goals, they follow a strategy of asset management that can be summarized in the following four basic ways. 1. Banks try to find borrowers who will pay high interest rates and are unlikely to default. Loans officers engage in screening of the potential borrowers to reduce the adverse selection process. 2. Banks try to purchase securities with high returns and low risk. 3. Banks must attempt to lower risk by diversifying their assets, and making different types of loans to different types of customers. 4. Banks must manage the liquidity of their assets so that they can satisfy reserves requirements without bearing huge costs. This means that banks will hold some securities that are more liquid even if they earn somewhat lower return than other assets. The bank must balance its desire for liquidity against the increased earnings that can be obtained from less liquid assets such as loans. 3. Liability Management • Banks aggressively set target goals for their asset growth and tried to acquire funds by issuing liabilities as they were needed. • For example, when a bank finds an attractive loan opportunity it can acquire funds by selling negotiable CDs or through borrowing from the central bank fund market. • Because of the increased flexibility and importance of liability management, most banks now manage both sides of the balance sheet together in an asset-liability management (ALM) committee. 4. Capital Adequacy Management • Banks have to make decisions about the amount of capital they need to hold for three reasons. 1. Bank capital helps prevents bank failure, a situation in which the bank cannot satisfy its obligations to pay its depositors and other creditors. 2. The amount of capital affects returns for the owners (equity-holders) of the bank. 3. A minimum amount of bank capital (bank capital requirements) is required by regulatory authorities. How Bank Capital Helps Prevent Bank Failure? • Let us consider two banks with identical balance sheet except that the High Capital Bank has a ratio of capital to assets of 10% while the Low Capital Bank has a ratio of 4%. Assets Reserves Loans High Capital Bank Liabilities $10 Deposits $90 $90 Bank Capital $10 Assets Reserves Loans Low Capital Bank Liabilities $10 Deposits $96 $90 Bank Capital $ 4 • Suppose a $5 million of bad loans to both banks are written off (valued at zero), the total value of assets declines by $5 million. • As a consequence, bank capital, which equals total assets minus liabilities, also declines by $5 million. The balance sheets of the two banks look like this. Assets Reserves Loans High Capital Bank Liabilities $10 Deposits $90 $85 Bank Capital $ 5 Assets Reserves Loans Low Capital Bank Liabilities $10 Deposits $96 $85 Bank Capital - $ 1 • The High Capital Bank still has a positive net worth (bank capital) of $5 million after the loss. • The value of Low Capital Bank’s assets has fallen below its liabilities and its net worth is now -$1 million. It does not have sufficient assets to pay off all holders of its liabilities (creditors). So, it is insolvent and government regulators will close the bank. • A bank maintains capital to lessen the chance that it will become insolvent. • How the Amount of Bank Capital Affects Returns to Equity Holders? • Because owners of a bank must know whether their bank is being managed well, they need good measures of bank profitability. • A basic measure of profitability is the return on assets (ROA), the net profit after taxes per dollar of assets. net profit after taxes ROA assets • The return on assets provides information on how efficiently a bank is being run, because it indicates how much profits are generated on average by each dollar of assets. However, what the bank’s owners (equity holders) care about most is how much the bank is earning on their equity investment. This information is provided by the other basic measure of bank profitability, the return on equity (ROE), the net profit after taxes per dollar of equity (bank) capital. net profit after taxes ROE equity capital • There is a direct relationship between the return on assets (which measure how efficiently the bank is run) and the return on equity (which measure how well the owners are doing on their investment). This relationship is determined by the so-called equity multiplier (EM), which is the amount of assets per dollar of equity capital assets EM equity capital • To see this, we note that: net profit after taxes net profit after taxes assets equity capital assets equity capital Which yields, ROE = ROA x EM • Therefore, given the return on assets, the lower the bank capital the higher the returns for the owners of the bank. • Bank capital benefits the owners of a bank in that it makes their investment safer by reducing the likelihood of bankruptcy. • Bank capital is costly because the higher it is the lower will be the return on equity for a given return on assets. • In determining the amount of bank capital, managers must decide how much of the increased safety that comes with higher capital they are willing to trade off against the lower return on equity that comes with higher capital. • In more uncertain times, when the possibility of large losses on loans increases, bank managers might want to hold more capital to protect the equity holders. • Conversely, if they have confidence that loan losses won’t occur, they might want to reduce the amount of capital, have a high equity multiplier, and thereby increase the return on equity. 5. Managing Credit Risk • Banks and other financial institutions make loans that must be paid back in full. The possibility of default subjects the financial institutions to credit risk. • The economic concepts of adverse selection and moral hazard provide a framework for understanding the principles that financial institutions have to follow to reduce credit risk and make successful loans. • Adverse selection in loan markets occurs because bad credit risks (the most likely to default on their loans) are the ones who usually line up for loans. In other words, those who are most likely to produce an adverse outcome are the most likely to be selected. • Borrowers with very risky investment projects have much to gain if their projects are successful. However, they are the least desirable borrowers because of the greater possibility that they will be unable to pay back their loans. • Moral hazard exists in loan markets because borrowers may have incentives to engage in activities that are undesirable from the lenders point of view. In such situations, it is more likely that the lender will be subjected to the hazard of default. • To be profitable, financial institutions must overcome the adverse selection and moral hazard problems that make loan defaults more likely. • The attempts of financial institutions to solve these problems help explain a number of principles for managing credit risk such as (1)screening and monitoring, (2) establishment of long-term customer relationships, (3) loan commitments, (4) collateral and compensating balance requirements, and (5) credit rationing. Screening and Monitoring • Asymmetric information is present in loan markets because lenders have less information about investment opportunities and activities of borrowers than borrowers do. This situation leads to two informationproducing activities by banks and other financial institutions: screening and monitoring. Screening • Adverse selection in loan markets requires that lenders screen out the bad credit risks from the good ones so that loans are profitable to them. • To accomplish effective screening, lenders must collect reliable information from prospective borrowers. • Effective screening together with information collection form an important principle of credit risk management. • The lender uses the information collected from the various forms the borrowers filled in to evaluate how good a credit risk you are by calculating your credit score, a statistical measure derived from your answers that predicts whether you are likely to have trouble making your loan payments. • Deciding on how good a risk you are cannot be entirely scientific. Personal judgment of the loan officer that is based on the experience and other factors is also important. Specializing in lending • Banks often specialize in lending to local firms or to firms in particular industries. It looks like the bank is not diversifying its portfolio of loans and thus exposing itself to more risk. • However, the adverse selection problem requires the bank to screen out bad credit risk. • It is easier for the bank to collect information about local firms and determine their creditworthiness than doing the same thing for firms far away. • Similarly, by concentrating its lending on firms at specific industries, the bank becomes more knowledgeable about these industries and is therefore better able to predict which firms will be able to make timely payments on their debts. Monitoring and Enforcement of Restrictive covenants • Once a loan has been made, the borrower has an incentive to engage in risky activities that make it less likely that the loan will be paid off. • To reduce this moral hazard, financial institutions (the lenders) should write provisions (restrictive covenants) into loan contracts that restrict borrowers from engaging in risky activities. • By monitoring borrowers activities to see whether they are complying with the restrictive covenants and by enforcing the covenants if they are not, lenders can make sure the borrowers are not taking on risks at their expense. • The need for banks and other financial institutions to engage in screening and monitoring explains why they spend so much money on auditing and informationcollecting activities. Long-Term Customer Relationship • Another principle of credit risk management is to establish a long-term relationship with customers. This allows banks and other financial institutions to obtain information about their borrowers. • If a prospective borrower has had an account with or loans from a bank over a long period of time, a loan officer can look at past activity on the accounts and learn quite a bit about the borrower. • The long-term customer relationships reduce the costs of information collection and make it easier to screen out bad credit risks. • LT customer relationships enable banks to deal with even unanticipated moral hazard contingencies. The borrower has the incentive to avoid risky activities that would upset the bank in order to preserve a longterm relationship with the bank, which will make it easier to get future loans at low interest rates. This behavior benefits both the bank and the customer. Loan Commitments • Banks also create long-term relationships and gather information by issuing loan commitments to commercial customers. • A loan commitment is a bank’s commitment for a specified future period of time to provide a firm with loans up to a given amount at an interest rate that is tied to some market interest rate. • The majority of commercial and industrial loans are made under the loan commitment arrangement. • The advantage for the firm is that it has a source of credit when it needs it. • The advantage for the bank is that the loan commitment promotes a long-term relationship, which in turn facilitates information collection. • A loan commitment agreement is a powerful method for reducing the bank’s costs for screening and information collection. Collateral and Compensating Balances • Collateral requirements for loans are important credit risk management tools. • Collateral is property promised to the lender as compensation if borrower defaults. • It lessens the consequences of adverse selection because it reduces the lender’s losses in the case of loan default. If a borrower defaults on a loan, the lender can sell the collateral and use the proceeds to make up for it losses on the loan. • One particular form of collateral required when a bank makes commercial loans is called compensating balances. • Compensating balances means that when a firm receives a loan it must keep a required minimum amount of funds in a checking account at the bank. • By requiring the borrower to use a checking account at the bank, the bank can observe the firm’s check payment practices, which may yield a great deal of information about the borrower’s financial condition. 6. MANAGING INTEREST RATE RISK • Interest-rate risk refers the risk of earnings and returns that is associated with changes in interest rates. • To see what interest-rate risk, let’s look at the balance sheet of the First Bank Assets Rate-sensitive assets $20 Variable-rate and short-term loans Short-term securities Fixed-rate assets $80 $50 Reserves Long-term loans Long-term securities Liabilities Rate-sensitive liabilities$50 variable-rate CDs Money market deposit Accounts Fixed-rate liabilities Checkable deposits Saving deposits Long-term CDs Equity capital • Rate-sensitive: when interest rates change frequently (at least once a year) • Fixed-rate: when interest rates remain unchanged for a long period (over a year) • Suppose the interest rates rise by 5%. The income on assets increase by $1 million (= 5% X $20 million of rate-sensitive assets), while payments on liabilities increase by 2.5 million (= 5% x $50 million of ratesensitive liabilities). Thus, the profits of the First Bank now decline by $1.5 million ($1m – $2.5m). • Conversely, if interest rates fall by 5%, the bank’s profits will increase by $1.5m. • The conclusion is that if a bank has more rate-sensitive liabilities than assets, a rise in interest rates will reduce bank profits and a decline in interest rates will increase bank profits. Gap and Duration Analysis • The sensitivity of bank profits to changes in interest rates can be measured more directly using gap analysis and /or duration analysis. • Gap analysis refers to the difference between the rate-sensitive assets and rate-sensitive liabilities. In our example, the gap is $20m – $50m = -$30m. • By multiplying the gap times the change in the interest rate we can immediately obtain the effect on bank profits. For example, when interest rates rise by 5% the change in profits is 5% x -$30m, which equals -$1.5m. • Duration Analysis examines the sensitivity of the market value of bank’s total assets and liabilities to changes in interest rates. • Duration analysis involves using the average (weighted) duration of a financial institution’s assets and liabilities to see how the net worth responds to a change in interest rates. • Suppose the average duration of the First Bank’s assets is 3 years (the average lifetime of stream of payments in 3 years), and the average duration of its liabilities is 2 years. In addition, the bank has a$100m of assets and $90m of liabilities. Thus the bank capital is $10m (10% of the assets). With a 5% increase in interest rate, the market value of the bank’s assets falls by 15% (= -5% x 3). However, the market value of the liabilities falls by 10% (= -5% x 2). Hence, the net worth has declined by 5% of the total original asset value. • Similarly, a 5% decrease in interest rates increase the net worth of the bank by 5% of the total asset value. • Both gap analysis and duration analysis indicate that the First Bank will suffer if interest rates rise but it will gain if they fall.