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# Chapter 9 Bank Management

### Chapter Objectives

By the end of this chapter, students should be able to:

1. Explain what a balance sheet and a T-account are.
2. Explain what banks do in five words and also at length.
3. Describe how bankers manage their banks’ balance sheets.
4. Explain why regulators mandate minimum reserve and capital ratios.
5. Describe how bankers manage credit risk.
6. Describe how bankers manage interest rate risk.
7. Describe off-balance sheet activities and explain their importance.

## 9.1 The Balance Sheet

### Learning Objective

1. What is a balance sheet and what are the major types of bank assets and liabilities?

Thus far, we’ve studied financial markets and institutions from 30,000 feet. We’re finally ready to “dive down to the deck” and learn how banks and other financial intermediaries are actually managed. We start with the balance sheet, a financial statement that takes a snapshot of what a company owns (assets) and owes (liabilities) at a given moment. The key equation here is a simple one:

ASSETS (aka uses of funds) = LIABILITIES (aka sources of funds) + EQUITY (aka net worth or capital).

Figure 9.1 Bank assets and liabilities

Figure 9.2 Assets and liabilities of U.S. commercial banks, March 7, 2007

Figure 9.1 "Bank assets and liabilities" lists and describes the major types of bank assets and liabilities, and Figure 9.2 "Assets and liabilities of U.S. commercial banks, March 7, 2007" shows the combined balance sheet of all U.S. commercial banks on March 7, 2007.

### Stop and Think Box

In the first half of the nineteenth century, bank reservesIn this context, cash funds that bankers maintain to meet deposit outflows and other payments. in the United States consisted solely of full-bodied specie (gold or silver) coins. Banks pledged to pay specie for both their notes and deposits immediately upon demand. The government did not mandate minimum reserve ratios. What level of reserves do you think those banks kept? (Higher or lower than today’s required reservesA minimum amount of cash funds that banks are required by regulators to hold.?) Why?

With some notorious exceptions known as wildcat banks, which were basically financial scams, banks kept reserves in the range of 20 to 30 percent, much higher than today’s required reserves. They did so for several reasons. First, unlike today, there was no fast, easy, cheap way for banks to borrow from the government or other banks. They occasionally did so, but getting what was needed in time was far from assured. So basically borrowing was closed to them. Banks in major cities like Boston, New York, and Philadelphia could keep secondary reservesNoncash, liquid assets, like government bonds, that bankers can quickly sell to obtain cash., but before the advent of the telegraph, banks in the hinterland could not be certain that they could sell the volume of bonds they needed to into thin local markets. In those areas, which included most banks (by number), secondary reserves were of little use. And the potential for large net outflows was higher than it is today because early bankers sometimes collected the liabilities of rival banks, then presented them all at once in the hopes of catching the other guy with inadequate specie reserves. Also, runs by depositors were much more frequent then. There was only one thing for a prudent early banker to do: keep his or her vaults brimming with coins.

### Key Takeaways

• A balance sheet is a financial statement that lists what a company owns (its assets or uses of funds) and what it owes (its liabilities or sources of funds).
• Major bank assets include reserves, secondary reserves, loans, and other assets.
• Major bank liabilities include deposits, borrowings, and shareholder equity.

## 9.2 Assets, Liabilities, and T-Accounts

### Learning Objectives

1. In five words, what do banks do?
2. Without a word limitation, how would you describe what functions they fulfill?

As Figure 9.1 "Bank assets and liabilities" and Figure 9.2 "Assets and liabilities of U.S. commercial banks, March 7, 2007" show, commercial banks own reserves of cash and deposits with the Fed; secondary reserves of government and other liquid securities; loans to businesses, consumers, and other banks; and other assets, including buildings, computer systems, and other physical stuff. Each of those assets plays an important role in the bank’s overall business strategy. A bank’s physical assets are needed to conduct its business, whether it be a traditional brick-and-mortar bank, a full e-commerce bank (there are servers and a headquarters someplace), or a hybrid click-and-mortar institution. Reserves allow banks to pay their transaction deposits and other liabilities. In many countries, regulators mandate a minimum level of reserves, called required reserves. When banks hold more than the reserve requirement, the extra reserves are called excess reserves. Because reserves pay no interest, American bankers generally keep excess reserves to a minimum, preferring instead to hold secondary reserves like U.S. Treasuries and other safe, liquid, interest-earning securities. Banks’ bread-and-butter asset is, of course, their loans. They derive most of their income from loans, so they must be very careful who they lend to and on what terms. Banks lend to other banks via the federal funds market, but also in the process of clearing checks, which are called “cash items in process of collection.” Most of their loans, however, go to nonbanks. Some loans are uncollateralized, but many are backed by real estate (in which case the loans are called mortgages), accounts receivable (factorage), or securities (call loans).

### Stop and Think Box

Savings banks, a type of bank that issues only savings deposits, and life insurance companies hold significantly fewer reserves than commercial banks do. Why?

Savings banks and life insurance companies do not suffer large net outflows very often. People do draw down their savings by withdrawing money from their savings accounts, cashing in their life insurance, or taking out policy loans, but remember that one of the advantages of relatively large intermediaries is that they can often meet outflows from inflows. In other words, savings banks and life insurance companies can usually pay customer A’s withdrawal (policy loan or surrender) from customer B’s deposit (premium payment). Therefore, they have no need to carry large reserves, which are expensive in terms of opportunity costs.

Where do banks get the wherewithal to purchase those assets? The right-hand side of the balance sheet lists a bank’s liabilities or the sources of its funds. Transaction deposits include negotiable order of withdrawal accounts (NOW) and money market deposit accounts (MMDAs), in addition to good old checkable deposits. Banks like transaction deposits because they can avoid paying much, if any, interest on them. Some depositors find the liquidity that transaction accounts provide so convenient they even pay for the privilege of keeping their money in the bank via various fees, of which more anon. Banks justify the fees by pointing out that it is costly to keep the books, transfer money, and maintain sufficient cash reserves to meet withdrawals.

The administrative costs of nontransaction deposits are lower so banks pay interest for those funds. Nontransaction deposits range from the traditional passbook savings account to negotiable certificates of deposit (NCDs) with denominations greater than $100,000. Checks cannot be drawn on passbook savings accounts, but depositors can withdraw from or add to the account at will. Because they are more liquid, they pay lower rates of interest than time deposits (aka certificates of deposit), which impose stiff penalties for early withdrawals. Banks also borrow outright from other banks overnight via what is called, strangely, the federal funds market, and directly from the Federal Reserve via discount loans (aka advances). They can also borrow from corporations, including their parent companies if they are part of a bank holding companyA corporate entity than owns one or more banks and banking-related subsidiaries.. That leaves only bank net worth, the difference between the value of a bank’s assets and its liabilities. Equity originally comes from stockholders when they pay for shares in the bank’s initial public offering (IPO) or direct public offering (DPO). Later, it comes mostly from retained earnings, but sometimes banks make a seasoned offering of additional stock. Regulators watch bank capital closely because, as we learned in Chapter 8 "Financial Structure, Transaction Costs, and Asymmetric Information", the more equity a bank has, the less likely it is that it will fail. Today, having learned this lesson the hard way, U.S. regulators will close a bank down well before its equity reaches zero. Provided, that is, they catch it first. Even well-capitalized banks can fail very quickly, especially if they trade in the derivatives market, of which more below. At the broadest level, banks and other financial intermediaries engage in asset transformation. In other words, they sell liabilities with certain liquidity, risk, return, and denominational characteristics and use those funds to buy assets with a different set of characteristics. Intermediaries link investors (purchasers of banks’ liabilities) to entrepreneurs (sellers of banks’ assets) in a more sophisticated way than mere market facilitators like dealer-brokers and peer-to-peer bankers do (see Chapter 8 "Financial Structure, Transaction Costs, and Asymmetric Information"). More specifically, banks (aka depository institutions) turn short-term deposits into long-term loans. In other words, they borrow short and lend long. This, we’ll see, makes bank management tricky business indeed. Other financial intermediaries transform assets in other ways. Finance companies borrow long and lend short, rendering their management much easier than that of a bank. Life insurance companies sell contracts (called policies) that pay off when or if (during the policy period of a term policy) the insured party dies. Property and casualty companies sell policies that pay if some exigency, like an automobile crash, occurs during the policy period. The liabilities of insurance companies are said to be contingent because they come due if an event happens rather than after a specified period of time. Asset transformation and balance sheets provide us with only a snapshot view of a financial intermediary’s business. That’s useful, but, of course, intermediaries, like banks, are dynamic places where changes constantly occur. The easiest way to analyze that dynamism is via so-called T-accounts, simplified balance sheets that list only changes in liabilities and assets. By the way, they are called T-accounts because they look like a T. Sort of. Note in the T-accounts below the horizontal and vertical rules that cross each other, sort of like a T. Suppose somebody deposits$17.52 in cash in a checking account. The T-account for the bank accepting the deposit would be the following:

Some Bank
Assets Liabilities
Reserves +$17.52 Transaction deposits +$17.52

If another person deposits in her checking account in Some Bank a check for $4,419.19 drawn on Another Bank,If that check were drawn on Some Bank, there would be no need for a T-account because the bank would merely subtract the amount from the account of the payer, or in other words, the check maker, and add it to the account of the payee or check recipient. the initial T-account for that transaction would be the following: Some Bank Assets Liabilities Cash in collection +$4,419.19 Transaction deposits +$4,419.19 Once collected in a few days, the T-account for Some Bank would be the following: Some Bank Assets Liabilities Cash in collection −$4,419.19

Reserves +$4,419.19 The T-account for Another Bank would be the following: Another Bank Assets Liabilities Reserves −$4,419.19
Transaction deposits −$4,419.19 Gain some practice using T-accounts by completing the exercises. ### Exercises Write out the T-accounts for the following transactions. 1. Larry closes his$73,500.88 account with JPMC Bank, spends $500.88 of that money on consumption goods, then places the rest in W Bank. 2. Suppose regulators tell W Bank that it needs to hold only 5 percent of those transaction deposits in reserve. 3. W Bank decides that it needs to hold no excess reserves but needs to bolster its secondary reserves. 4. A depositor in W bank decides to move$7,000 from her checking account to a CD in W Bank.
5. W Bank sells $500,000 of Treasuries and uses the proceeds to fund two$200,000 mortgages and the purchase of $100,000 of municipal bonds. (Note: This is net. The bank merely moved$100,000 from one type of security to another.)

### Key Takeaways

• In five words, banks lend (1) long (2) and (3) borrow (4) short (5).
• Like other financial intermediaries, banks are in the business of transforming assets, of issuing liabilities with one set of characteristics to investors and of buying the liabilities of borrowers with another set of characteristics.
• Generally, banks issue short-term liabilities but buy long-term assets.
• This raises specific types of management problems that bankers must be proficient at solving if they are to succeed.

## 9.3 Bank Management Principles

### Learning Objective

1. What are the major problems facing bank managers and why is bank management closely regulated?

Bankers must manage their assets and liabilities to ensure three conditions:

1. Their bank has enough reserves on hand to pay for any deposit outflows (net decreases in deposits) but not so many as to render the bank unprofitable. This tricky trade-off is called liquidity managementEnsuring that the bank has just the right amount of reserves—not too little, which would endanger the bank’s solvency, nor too much, which would decrease its profitability..
2. Their bank earns profits. To do so, the bank must own a diverse portfolio of remunerative assets. This is known as asset managementEnsuring that the bank’s assets have the right combination of liquidity, safety, and return.. It must also obtain its funds as cheaply as possible, which is known as liability managementAttracting enough deposits or borrowing enough to ensure that the bank can make the loans or purchase the assets it wants..
3. Their bank has sufficient net worth or equity capital to maintain a cushion against bankruptcy or regulatory attention but not so much that the bank is unprofitable. This second tricky trade-off is called capital adequacy managementEnsuring that the bank has enough capital, equity, or net worth to remain in operation while maintaining bank profitability as measured by return on equity (ROE)..

In their quest to earn profits and manage liquidity and capital, banks face two major risks: credit risk, the risk of borrowers defaulting on the loans and securities it owns, and interest rate risk, the risk that interest rate changes will decrease the returns on its assets and/or increase the cost of its liabilities. The financial panic of 2008 reminded bankers that they also can face liability and capital adequacy risks if financial markets become less liquid or seize up completely (q* = 0).

### Stop and Think Box

What’s wrong with the following bank balance sheet?

Flower City Bank Balance Sheet June 31, 2009 (Thousands USD)
Liabilities Assets
Reserves $10 Transaction deposits$20
Security $10 Nontransaction deposits$50
Lones $70 Borrowings (−$15)
Other assets $5 Capitol worth$10
Totals $100$100

There are only 30 days in June. It can’t be in thousands of dollars because this bank would be well below efficient minimum scale. The A-L labels are reversed but the entries are okay. By convention, assets go on the left and liabilities on the right. Borrowings can be 0 but not negative. Only equity capital can be negative. What is “Capitol worth?” A does not equal L. Indeed, the columns do not sum to the purported “totals.” It is Loans (not Lones) and Securities (not Security). Thankfully, assets is not abbreviated!

Let’s turn first to liquidity management. Big Apple Bank has the following balance sheet:

Big Apple Bank Balance Sheet (Millions USD)
Assets Liabilities
Reserves $10 Transaction deposits$30
Securities $10 Nontransaction deposits$55
Loans $70 Borrowings$5
Other assets $10 Capital$10
Totals $100$100

Suppose the bank then experiences a net transaction deposit outflow of $5 million. The bank’s balance sheet (we could also use T-accounts here but we won’t) is now like this: Big Apple Bank Balance Sheet (Millions USD) Assets Liabilities Reserves$5 Transaction deposits $25 Securities$10 Nontransaction deposits $55 Loans$70 Borrowings $5 Other assets$10 Capital $10 Totals$95 $95 The bank’s reserve ratio (reserves/transaction deposits) has dropped from 10/30 = .3334 to 5/25 = .2000. That’s still pretty good. But if another$5 million flows out of the bank on net (maybe $10 million is deposited but$15 million is withdrawn), the balance sheet will look like this:

Big Apple Bank Balance Sheet (Millions USD)
Assets Liabilities
Reserves $0 Transaction deposits$20
Securities $10 Nontransaction deposits$55
Loans $70 Borrowings$5
Other assets $10 Capital$10
Totals $90$90

The bank’s reserve ratio now drops to 0/20 = .0000. That’s bound to be below the reserve ratio required by regulators and in any event is very dangerous for the bank. What to do? To manage this liquidity problem, bankers will increase reserves by the least expensive means at their disposal. That almost certainly will not entail selling off real estate or calling in or selling loans. Real estate takes a long time to sell, but, more importantly, the bank needs it to conduct business! Calling in loans (not renewing them as they come due and literally calling in any that happen to have a call feature) will likely antagonize borrowers. (Loans can also be sold to other lenders, but they may not pay much for them because adverse selection is high. Banks that sell loans have an incentive to sell off the ones to the worst borrowers. If a bank reduces that risk by promising to buy back any loans that default, that bank risks losing the borrower’s future business.) The bank might be willing to sell its securities, which are also called secondary reserves for a reason. If the bankers decide that is the best path, the balance sheet will look like this:

Big Apple Bank Balance Sheet (Millions USD)
Assets Liabilities
Reserves $10 Transaction deposits$20
Securities $0 Nontransaction deposits$55
Loans $70 Borrowings$5
Other assets $10 Capital$10
Totals $90$90

The reserve ratio is now .5000, which is high but prudent if the bank’s managers believe that more net deposit outflows are likely. Excess reserves are insurance against further outflows, but keeping them is costly because the bank is no longer earning interest on the $10 million of securities it sold. Of course, the bank could sell just, say,$2, $3, or$4 million of securities if it thought the net deposit outflow was likely to stop.

The bankers might also decide to try to lure depositors back by offering a higher rate of interest, lower fees, and/or better service. That might take some time, though, so in the meantime they might decide to borrow $5 million from the Fed or from other banks in the federal funds market. In that case, the bank’s balance sheet would change to the following: Big Apple Bank Balance Sheet (Millions USD) Assets Liabilities Reserves$5 Transaction deposits $20 Securities$10 Nontransaction deposits $55 Loans$70 Borrowings $10 Other assets$10 Capital $10 Totals$95 $95 Notice how changes in liabilities drive the bank’s size, which shrank from$100 to $90 million when deposits shrank, which stayed the same size when assets were manipulated, but which grew when$5 million was borrowed. That is why a bank’s liabilities are sometimes called its “sources of funds.”

Now try your hand at liquidity management in the exercises.

### Exercises

Manage the liquidity of the Timberlake Bank given the following scenarios. The legal reserve requirement is 5 percent. Use this initial balance sheet to answer each question:

Timberlake Bank Balance Sheet (Millions USD)
Assets Liabilities
Reserves $5 Transaction deposits$100
Securities $10 Nontransaction deposits$250
Loans $385 Borrowings$50
Other assets $100 Capital$100
Totals $500$500
1. Deposits outflows of $3.5 and inflows of$3.5.

2. Deposit outflows of $4.2 and inflows of$5.8.

3. Deposit outflows of $3.7 and inflows of$0.2.

4. A large depositor says that she needs $1.5 million from her checking account, but just for two days. Otherwise, net outflows are expected to be about zero. 5. Net transaction deposit outflows are zero, but there is a$5 million net outflow from nontransaction deposits.

Asset management entails the usual trade-off between risk and return. Bankers want to make safe, high-interest rate loans but, of course, few of those are to be found. So they must choose between giving up some interest or suffering higher default rates. Bankers must also be careful to diversify, to make loans to a variety of different types of borrowers, preferably in different geographic regions. That is because sometimes entire sectors or regions go bust and the bank will too if most of its loans were made in a depressed region or to the struggling group. Finally, bankers must bear in mind that they need some secondary reserves, some assets that can be quickly and cheaply sold to bolster reserves if need be.

Today, bankers’ decisions about how many excess and secondary reserves to hold is partly a function of their ability to manage their liabilities. Historically, bankers did not try to manage their liabilities. They took deposit levels as given and worked from there. Since the 1960s, however, banks, especially big ones in New York, Chicago, and San Francisco (the so-called money centers), began to actively manage their liabilities by

1. actively trying to attract deposits;
2. selling large denomination NCDs to institutional investors;
3. borrowing from other banks in the overnight federal funds market.

Recent regulatory reforms (discussed in greater detail in Chapter 11 "The Economics of Financial Regulation") have made it easier for banks to actively manage their liabilities. In typical times today, if a bank has a profitable loan opportunity, it will not hesitate to raise the funds by borrowing from another bank, attracting deposits with higher interest rates, or selling an NCD.

That leaves us with capital adequacy management. Like reserves, banks would hold capital without regulatory prodding because equity or net worth buffers banks (and other companies) from temporary losses, downturns, and setbacks. However, like reserves, capital is costly. The more there is of it, holding profits constant, the less each dollar of it earns. So capital, like reserves, is now subject to minimums called capital requirements.

Consider the balance sheet of Safety Bank:

Safety Bank Balance Sheet (Billions USD)
Assets Liabilities
Reserves $1 Transaction deposits$10
Securities $5 Nontransaction deposits$75
Loans $90 Borrowings$5
Other assets $4 Capital$10
Totals $100$100

If $5 billion of its loans went bad and had to be completely written off, Safety Bank would still be in operation: Safety Bank Balance Sheet (Billions USD) Assets Liabilities Reserves$1 Transaction deposits $10 Securities$5 Nontransaction deposits $75 Loans$85 Borrowings $5 Other assets$4 Capital $5 Totals$95 $95 Now, consider Shaky Bank: Shaky Bank Balance Sheet (Billions USD) Assets Liabilities Reserves$1 Transaction deposits $10 Securities$5 Nontransaction deposits $80 Loans$90 Borrowings $9 Other assets$4 Capital $1 Totals$100 $100 If$5 billion of its loans go bad, so too does Shaky.

Shaky Bank Balance Sheet (Billions USD)
Assets Liabilities
Reserves $1 Transaction deposits$10
Securities $5 Nontransaction deposits$80
Loans $85 Borrowings$9
Other assets $4 Capital −$4
Totals $95$95

You don’t need to be a certified public accountant (CPA) to know that red numbers and negative signs are not good news. Shaky Bank is a now a new kind of bank, bankrupt.

Why would a banker manage capital like Shaky Bank instead of like Safety Bank? In a word, profitability. There are two major ways of measuring profitability: return on assets (ROA) and return on equity (ROE).

ROA = net after-tax profit/assets

ROE = net after-tax profit/equity (capital, net worth)

Suppose that, before the loan debacle, both Safety and Shaky Bank had $10 billion in profits. The ROA of both would be 10/100 = .10. But Shaky Bank’s ROE, what shareholders care about most, would leave Safety Bank in the dust because Shaky Bank is more highly leveraged (more assets per dollar of equity). Shaky Bank ROE = 10/1 = 10 Safety Bank ROE = 10/10 = 1 This, of course, is nothing more than the standard risk-return trade-off applied to banking. Regulators in many countries have therefore found it prudent to mandate capital adequacy standards to ensure that some bankers are not taking on high levels of risk in the pursuit of high profits. Bankers manage bank capital in several ways: 1. By buying (selling) their own bank’s stock in the open market. That reduces (increases) the number of shares outstanding, raising (decreasing) capital and ROE, ceteris paribus 2. By paying (withholding) dividends, which decreases (increases) capital, increasing (decreasing) ROE, all else equal 3. By increasing (decreasing) the bank’s assets, which, with capital held constant, increases (decreases) ROE These same concepts and principles—asset, liability, capital, and liquidity management, and capital-liquidity and capital-profitability trade-offs—apply to other types of financial intermediaries as well, though the details, of course, differ. ### Key Takeaways • Bankers must manage their bank’s liquidity (reserves, for regulatory reasons and to conduct business effectively), capital (for regulatory reasons and to buffer against negative shocks), assets, and liabilities. • There is an opportunity cost to holding reserves, which pay no interest, and capital, which must share the profits of the business. • Left to their own judgment, bankers would hold reserves > 0 and capital > 0, but they might not hold enough to prevent bank failures at what the government or a country’s citizens deem an acceptably low rate. • That induces government regulators to create and monitor minimum requirements. ## 9.4 Credit Risk ### Learning Objective 1. What is credit risk and how do bankers manage it? As noted above, loans are banks’ bread and butter. No matter how good bankers are at asset, liability, and capital adequacy management, they will be failures if they cannot manage credit risk. Keeping defaults to a minimum requires bankers to be keen students of asymmetric information (adverse selection and moral hazard) and techniques for reducing them. Bankers and insurers, like computer folks, know about GIGO—garbage in, garbage out. If they lend to or insure risky people and companies, they are going to suffer. So they carefully screen applicants for loans and insurance. In other words, to reduce asymmetric information, financial intermediaries create information about them. One way they do so is to ask applicants a wide variety of questions. Financial intermediaries use the application only as a starting point. Because risky applicants might stretch the truth or even outright lie on the application, intermediaries typically do two things: (1) make the application a binding part of the financial contract, and (2) verify the information with disinterested third parties. The first allows them to void contracts if applications are fraudulent. If someone applied for life insurance but did not disclose that he or she was suffering from a terminal disease, the life insurance company would not pay, though it might return any premiums. (That may sound cruel to you, but it isn’t. In the process of protecting its profits, the insurance company is also protecting its policyholders.) In other situations, the intermediary might not catch a falsehood in an application until it is too late, so it also verifies important information by calling employers (Is John Doe really the Supreme Commander of XYZ Corporation?), conducting medical examinations (Is Jane Smith really in perfect health despite being 3' 6'' tall and weighing 567 pounds?), hiring appraisers (Is a one-bedroom, half-bath house on the wrong side of the tracks really worth$1.2 million?), and so forth. Financial intermediaries can also buy credit reports from third-party report providers like Equifax, Experian, or Trans Union. Similarly, insurance companies regularly share information with each other so that risky applicants can’t take advantage of them easily.

To help improve their screening acumen, many financial intermediaries specialize. By making loans to only one or a few types of borrowers, by insuring automobiles in a handful of states, by insuring farms but not factories, intermediaries get very good at discerning risky applicants from the rest. Specialization also helps to keep monitoring costs to a minimum. Remember that, to reduce moral hazard (postcontractual asymmetric information), intermediaries have to pay attention to what borrowers and people who are insured do. By specializing, intermediaries know what sort of restrictive covenants (aka loan covenants) to build into their contracts. Loan covenants include the frequency of providing financial reports, the types of information to be provided in said reports, working capital requirements, permission for onsite inspections, limitations on account withdrawals, and call options if business performance deteriorates as measured by specific business ratios. Insurance companies also build covenants into their contracts. You can’t turn your home into a brothel, it turns out, and retain your insurance coverage. To reduce moral hazard further, insurers also investigate claims that seem fishy. If you wrap your car around a tree the day after insuring it or increasing your coverage, the insurer’s claims adjuster is probably going to take a very close look at the alleged accident. Like everything else in life, however, specialization has its costs. Some companies overspecialize, hurting their asset management by making too many loans or issuing too many policies in one place or to one group. While credit risks decrease due to specialization, systemic risk to assets increases, requiring bankers to make difficult decisions regarding how much to specialize.

Forging long-term relationships with customers can also help financial intermediaries to manage their credit risks. Bankers, for instance, can lend with better assurance if they can study the checking and savings accounts of applicants over a period of years or decades. Repayment records of applicants who had previously obtained loans can be checked easily and cheaply. Moreover, the expectation (there’s that word again) of a long-term relationship changes the borrower’s calculations. The game, if you will, is no longer a one-off prisoner’s dilemma,http://plato.stanford.edu/entries/prisoner-dilemma/ where it is in both parties’ interest to defect, but rather a repeated game, where the optimal strategy is one of tit for tat—cooperate until the other guy defects.http://www.gametheory.net/dictionary/TitforTat.html

### Stop and Think Box

Inflation was unexpectedly high in the 1970s. Given what you learned about the relationship between inflation and nominal interest rates in Chapter 5 "The Economics of Interest-Rate Fluctuations", and between interest rates and bank profitability in this chapter, what happened in the 1980s?

Bank profitability sank to the point that many banks, the infamous savings and loans (S&Ls), went under. Inflation (via the Fisher Equation) caused nominal interest rates to increase, which hurt banks’ profitability because they were earning low rates on long-term assets (like thirty-year bonds) while having to pay high rates on their short-term liabilities. Mounting losses induced many bankers to take on added risks, including risks in the derivatives markets. A few restored their banks to profitability, but others destroyed all of their bank’s capital and then some.

Of course, if the value of its risk-sensitive assets exceeded that of its liabilities, the bank would profit from interest rate increases. It would suffer, though, if interest rates decreased. Imagine Some Bank has $10 billion in interest rate-sensitive assets at 8 percent and only$1 billion in interest rate-sensitive liabilities at 5 percent. It is earning 10 × .08 = $.8 billion while paying 1 × .05 =$.05 billion. If interest rates decreased, it might earn only 10 × .05 = $.5 billion while paying 1 × .02 =$.02 billion; thus, ceteris paribus, its gross profits would decline from .8 − .05 = $.75 billion to .5 − .02 =$.48 billion, a loss of $.27 billion. More formally, this type of calculation, called basic gap analysis, is where: Cρ = changes in profitability Ar = risk-sensitive assets Lr = risk-sensitive liabilities Δi = change in interest rates So, returning to our first example, and the example above, Complete the exercise to get comfortable conducting basic gap analysis. ### Exercise Use the basic gap analysis formula to estimate Some Bank’s loss or gain under the following scenarios. Risk Sensitive Assets (Millions USD) Risk Sensitive Liabilities (Millions USD) Change in Interest Rates (%) Answer: CP (Millions USD) 100 100 100 0 100 200 10 −10 100 200 −10 10 199 200 10 −0.1 199 200 −10 0.1 200 100 10 10 200 100 −10 −10 200 199 10 0.1 200 199 −10 −0.1 1000 0 1 10 0 1000 1 −10 Now, take a look at Figure 9.3 "Basic gap analysis matrix", which summarizes, in a 2 × 2 matrix, what happens to bank profits when the gap is positive (Ar > Lr) or negative (Ar < Lr) when interest rates fall or rise. Basically, bankers want to have more interest-sensitive assets than liabilities if they think that interest rates are likely to rise and they want to have more interest rate-sensitive liabilities than assets if they think that interest rates are likely to decline. Figure 9.3 Basic gap analysis matrix Of course, not all rate-sensitive liabilities and assets have the same maturities, so to assess their interest rate risk exposure bankers usually engage in more sophisticated analyses like the maturity bucket approach, standardized gap analysis, or duration analysis. Duration, also known as Macaulay’s Duration, measures the average length of a security’s stream of payments.http://www.riskglossary.com/link/duration_and_convexity.htm In this context, duration is used to estimate the sensitivity of a security’s or a portfolio’s market value to interest rate changes via this formula: Δ%P = percentage change in market value Δi = change in interest (not decimalized, i.e., represent 5% as 5, not .05. Also note the negative sign. The sign is negative because, as we learned in Chapter 4 "Interest Rates", interest rates and prices are inversely related.) d = duration (years) So, if interest rates increase 2 percent and the average duration of a bank’s$100 million of assets is 3 years, the value of those assets will fall approximately −2 × 3 = −6%, or $6 million. If the value of that bank’s liabilities (excluding equity) is$95 million, and the duration is also 3 years, the value of the liabilities will also fall, 95 × .06 = $5.7 million, effectively reducing the bank’s equity (6 − 5.7= )$.3 million. If the duration of the bank’s liabilities is only 1 year, then its liabilities will fall −2 × 1 = −2% or 95 × .02 = $1.9 million, and the bank will suffer an even larger loss (6 − 1.9 =) of$4.1 million. If, on the other hand, the duration of the bank’s liabilities is 10 years, its liabilities will decrease −2 × 10 = −20% or $19 million and the bank will profit from the interest rate rise. A basic interest rate risk reduction strategy when interest rates are expected to fall is to keep the duration of liabilities short and the duration of assets long. That way, the bank continues to earn the old, higher rate on its assets but benefits from the new lower rates on its deposits, CDs, and other liabilities. As noted above, borrowing short and lending long is second nature for banks, which tend to thrive when interest rates go down. When interest rates increase, banks would like to keep the duration of assets short and the duration of liabilities long. That way, the bank earns the new, higher rate on its assets and keeps its liabilities locked in at the older, lower rates. But banks can only go so far in this direction because it runs against their nature; few people want to borrow if the loans are callable and fewer still want long-term checkable deposits! ### Key Takeaways • Interest rate risk is the chance that interest rates may increase, decreasing the value of bank assets. • Bankers manage interest rate risk by performing analyses like basic gap analysis, which compares a bank’s interest rate risk-sensitive assets and liabilities, and duration analysis, which accounts for the fact that bank assets and liabilities have different maturities. • Such analyses, combined with interest rate predictions, tell bankers when to increase or decrease their rate-sensitive assets or liabilities, and whether to shorten or lengthen the duration of their assets or liabilities. • Bankers can also hedge against interest rate risk by trading derivatives, like swaps and futures, and engaging in other off-balance-sheet activities. ## 9.6 Off the Balance Sheet ### Learning Objective 1. What are off-balance-sheet activities and why do bankers engage in them? To protect themselves against interest rate increases, banks go off road, engaging in activities that do not appear on their balance sheets.This is not to say that these activities are not accounted for. It isn’t illegal or even slimy. These activities will appear on revenue statements, cash flow analyses, etc. They do not, however, appear on the balance sheet, on the list of the bank’s assets and liabilities.Banks charge customers all sorts of fees, and not just the little ones that they sometimes slap on retail checking depositors. They also charge fees for loan guarantees, backup lines of credit, and foreign exchange transactions. Banks also now sell some of their loans to investors. Banks usually make about .15 percent when they sell a loan, which can be thought of as their fee for originating the loan, for, in other words, finding and screening the borrower. So, for example, a bank might discount the$100,000 note of XYZ Corp. for 1 year at 8 percent. We know from the present value formula that on the day it is made, said loan is worth PV = FV/(1 + i) = 100,000/1.08 = $92,592.59. The bank might sell it for 100,000/1.0785 =$92,721.37 and pocket the difference. Such activities are not without risks, however. Loan guarantees can become very costly if the guaranteed party defaults. Similarly, banks often sell loans with a guarantee or stipulation that they will buy them back if the borrower defaults. (If they didn’t do so, as noted above, investors would not pay much for them because they would fear adverse selection, that is, the bank pawning off their worse loans on unsuspecting third parties.) Although loans and fees can help keep up bank revenues and profits in the face of rising interest rates, they do not absolve the bank of the necessity of carefully managing its credit risks.

Banks (and other financial intermediaries) also take off-balance-sheet positions in derivatives markets, including futures and interest rate swaps. They sometimes use derivatives to hedge their risks; that is, they try to earn income should the bank’s main business suffer a decline if, say, interest rates rise. For example, bankers sell futures contracts on U.S. Treasuries at the Chicago Board of Trade. If interest rates increase, the price of bonds, we know, will decrease. The bank can then effectively buy bonds in the open market at less than the contract price, make good on the contract, and pocket the difference, helping to offset the damage the interest rate increase will cause the bank’s balance sheet.

Bankers can also hedge their bank’s interest rate risk by engaging in interest rate swaps. A bank might agree to pay a finance company a fixed 6 percent on a $100 million notational principle (or$6 million) every year for ten years in exchange for the finance company’s promise to pay to the bank a market rate like the federal funds rate or London Interbank Offering Rate (LIBOR) plus 3 percent. If the market rate increases from 3 percent (which initially would entail a wash because 6 fixed = 3 LIBOR plus 3 contractual) to 5 percent, the finance company will pay the net due to the bank, (3 + 5 = 8 − 6 = 2% on $100 million =)$2 million, which the bank can use to cover the damage to its balance sheet brought about by the higher rates. If interest rates later fall to 2 percent, the bank will have to start paying the finance company (6 − [3 + 2] = 1% on $100 million)$1 million per year but will well be able to afford it.

Banks and other financial intermediaries also sometimes speculate in derivatives and the foreign exchange markets, hoping to make a big killing. Of course, with the potential for high returns comes high levels of risk. Several hoary banks have gone bankrupt because they assumed too much off-balance-sheet risk. In some cases, the failures were due to the principal-agent problem: rogue traders bet their jobs, and their banks, and lost. In other cases, traders were mere scapegoats, instructed to behave as they did by the bank’s managers or owners. In either case, it is difficult to have much sympathy for the bankers, who were either deliberate risk-takers or incompetent. There are some very basic internal controls that can prevent traders from risking too much of the capital of the banks they trade for, as well as techniques, called value at riskhttp://www.gloriamundi.org/ and stress testing,http://financial-dictionary.thefreedictionary.com/Stress+Testing that allow bankers to assess their bank’s derivative risk exposure.

### Key Takeaways

• Off-balance-sheet activities like fees, loan sales, and derivatives trading help banks to manage their interest rate risk by providing them with income that is not based on assets (and hence is off the balance sheet).
• Derivatives trading can be used to hedge or reduce interest rate risks but can also be used by risky bankers or rogue traders to increase risk to the point of endangering a bank’s capital cushion and hence its economic existence.

Choudhry, Moorad. Bank Asset and Liability Management: Strategy, Trading, Analysis. Hoboken, NJ: John Wiley and Sons, 2007.

Dermine, Jean, and Youssef Bissada. Asset and Liability Management: A Guide to Value Creation and Risk Control. New York: Prentice Hall, 2002.

Ketz, J. Edward. Hidden Financial Risk: Understanding Off Balance Sheet Accounting. Hoboken, NJ: John Wiley and Sons, 2003.

Kolari, James, and Benton Gup. Commercial Banking: The Management of Risk. Hoboken, NJ: John Wiley and Sons, 2004.