Chapter Eleven 
Credit Risk: Individual Loan Risk

True/False Questions

T  F  1.  Problems involving bank loans to LDCs (lessdeveloped countries) during the 1980s and 1990s primarily were a result of foreign exchange risk. 
Answer: False   

T  F  2.  Junk bonds are bonds that are rated less than investment grade by bond-rating agencies. 
Answer: True   

T  F  3.  During the decade of the 1990s the asset quality of U.S. banks continued to improve. 
Answer: True   

T  F  4.  Sustained credit quality problems can drain an FI;s capital and net worth. 
Answer: True   

T  F  5.  Credit risk applies only to bond investment and loan portfolios of FIs and banks. 
Answer: False   

T  F  6.  The primary difficulty in arranging a syndicated loan is having all of the various lending and borrowing parties reach agreement on terms, rates, etc. 
Answer: False   

T  F  7.  A secured loan has a specific claim to the assets of the borrower in the case of default. 
Answer: True   

T  F  8.  Unsecured debt is considered to be senior to secured debt. 
Answer: False   

T  F  9.  The amount of security or collateral on a loan and the interest rate or risk premium on a loan normally are negatively related. 
Answer: True   

T  F  10.  From the perspective of the FI the advantage of a floating-rate loan is that the interest rate risk is transferred to the borrower. 
Answer: True   

T  F  11.  All other things equal, longer term loans are more likely to be fixed-rate loans than variable-rate loans. 
Answer: False   

T  F  12.  Floating rate loans are less credit risky than fixed rate loans. 
Answer: False   

T  F  13.  A spot loan involves a complete loan take-down at the time the loan is made. 
Answer: True   

T  F  14.  A loan commitment is an agreement involving the amount of loan available and the amount of time during which the loan can be taken down. 
Answer: True   

T  F  15.  The exact interest rate to be charged on a fixed-rate loan commitment is agreed upon by all parties at the time the commitment is negotiated. 
Answer: True   

T  F  16.  Long-term loans are more likely to be made under commitment than short-term loans. 
Answer: False   

T  F  17.  Commercial paper has become an acceptable source of borrowing substitute for bank loans for all corporations. 
Answer: False   

T  F  18.  Commercial paper typically is secured by specific assets of the borrower. 
Answer: False   

T  F  19.  Interest rates on commercial paper tend to be higher than on bank loans. 
Answer: False   

T  F  20.  Commercial loans are decreasing in importance in bank loan portfolios. 
Answer: True   

T  F  21.  Commercial real estate mortgages have been the fastest growing component of real estate 
loans. 
Answer: True   

T  F  22.  Residential mortgages are the smallest component of bank real estate loan portfolios. 
Answer: False   

T  F  23.  Since their introduction, the proportion of ARMs to fixed-rate residential mortgages has remained very stable over interest rate cycles. 
Answer: False   

T  F  24.  Because they are secured by homes, residential mortgages have demonstrated very little credit risk for FIs. 
Answer: False   

T  F  25.  Adjustable rate mortgages have interest rates that adjust periodically according to the movement in some index. 
Answer: True   

T  F  26.  Revolving loans are credit lines that allow the borrower to borrow additional funds up to some maximum amount, even before repayment of earlier borrowing. 
Answer: True   

T  F  27.  Usury ceilings are maximum rates imposed by federal legislation that FIs can charge on consumer and mortgage debt. 
Answer: False   

T  F  28.  Relationship pricing involves pricing for specific services which depend, in part, on the amount or number of services that are used by the customer. 
Answer: True   

T  F  29.  LIBOR, the London Interbank Offered Rate, is the rate for short-term interbank dollar loans in the domestic money-center bank market. 
Answer: False   

T  F  30.  The prime lending rate is the rate charged to the best, or least credit risky, customers of an FI. 
Answer: False   

T  F  31.  Because a compensating balance is the proportion of a loan that must be kept on deposit at the lending institution, the actual interest rate on the usable portion of these loans is higher. 
Answer: True   

T  F  32.  Default risk is the risk that the borrower may be unable or unwilling to meet the terms of the loan agreement. 
Answer: True   

T  F  33.  Adjusting interest rates, fees, and other terms upward for increasing amounts of default risk is a way to attempt to realize the expected return on the loan. 
Answer: True   

T  F  34.  At some point, further increases in interest rates on specific loans may decrease expected loan returns because of increased probability of default. 
Answer: True   

T  F  35.  Credit rationing is a form of managing credit risk. 
Answer: True   

T  F  36.  Credit rationing results from a monotonic relationship between interest rates and expected loan returns. 
Answer: False   

T  F  37.  Generally, at the retail level, an FI controls credit risks solely by using a range of interest rates or prices rather than by credit rationing. 
Answer: False   

T  F  38.  There is a positive relationship between the interest rate charged on a retail loan and the expected return on the loan. 
Answer: False   

T  F  39.  Covenants are restrictions in loan and bond agreements that encourage or forbid certain actions by the borrower. 
Answer: True   

T  F  40.  A borrower's reputation is an example of a market-specific factor in the credit decision. 
Answer: False   

T  F  41.  The amount of leverage of a borrower and the probability of default are positively related 
only after some minimum level of debt. 
Answer: True   

T  F  42.  Recessionary phases in the business cycle typically cause greater hardship on companies that borrow large amounts. 
Answer: True   

T  F  43.  Willingness to post collateral may be a signal of more rather than less credit risk on the part of the borrower. 
Answer: True   

T  F  44.  Credit scoring models are advantageous because of their ability to sort borrowers into different default risk classes. 
Answer: True   

T  F  45.  The higher is the value of Z in Altman's discriminant function, the higher is the default risk classification of the borrower. 
Answer: False   

T  F  46.  A major advantage of discriminant models is the stability of the coefficient weights over time. 
Answer: False   

T  F  47.  Discriminant models often ignore hard-to-quantify factors in the credit decision. 
Answer: True   

T  F  48.  In terms of rating agencies such as S&P, investment grade companies are those whose bond ratings are grade B or above. 
Answer: False   

T  F  49.  The risk premium between corporate bonds and Treasury securities tends to increase as the time to maturity increases. 
Answer: True   

T  F  50.  The probability that a borrower would default in any specific time period is a marginal default probability. 
Answer: True   

T  F  51.  The cumulative default probability of a borrower in a given time period is one minus the product of the marginal default probabilities for all time periods up to that time period. 
Answer: True   

T  F  52.  The condition of no arbitrage profits implies that profits can not be made without taking some risk. 
Answer: True   

T  F  53.  The mortality rate is the past default risk experience of all asset quality, or risk, classes. 
Answer: False   

T  F  54.  The marginal mortality rate is the probability of a bond or loan defaulting in any given year of the issue. 
Answer: True   

T  F  55.  One of the problems with estimating expected default rates is that the analysis is based on historic data. 
Answer: True   

T  F  56.  The payoff function of a loan to a debt holder is similar to writing a call option on the value of the borrower's assets with the face value of the debt as the exercise price. 
Answer: False   

T  F  57.  RAROC is a measure of a firm's cost of debt. 
Answer: False   

T  F  58.  A major problem in estimating RAROC is the measurement of loan risk. 
Answer: True   

T  F  59.  The traditional duration equation can be used to measure the capital at risk on the loan. 
Answer: True   

T  F  60.  CreditMetrics is an attempt to estimate default probabilities and losses based on a VAR framework. 
Answer: True   

T  F  61.  Credit Risk+ attempts to calculate the required reserves to meet losses above a given level. 
Answer: False   

Multiple Choice Questions

62.  Which of the following is not a characteristic of a loan commitment? 
A)  The maximum amount of the loan is negotiated at the time of the loan agreement. 
B)  The interest rate on fixed-rate loans is determined at the time of the loan takedown. 
C)  Floating-rate loans transfer the interest rate risk to the borrower. 
D)  The time period for which the loan is available is negotiated at the time of the loan agreement. 
E)  More than one of the above are not characteristic of a loan commitment. 
Answer: B   

63.  Which of the following is not characteristic of the real estate portfolio for most banks? 
A)  Commercial real estate mortgages have been the fastest growing component of real estate loans. 
B)  Adjustable rate mortgages have rates that are periodically adjusted to some index. 
C)  Borrowers prefer fixed-rate loans to ARMs in periods of high interest rates. 
D)  Residential mortgages are the largest component of the real estate loan portfolio. 
E)  More than one of the above are not characteristic of a loan commitment. 
Answer: C   

64.  Which of the following is not characteristic of the consumer loans at U.S. banks? 
A)  Revolving consumer loans is the largest class of loans. 
B)  Credit card loans often have default rates between three and seven percent. 
C)  Usury ceilings typically are imposed by state rather than federal legislation. 
D)  Consumer loans differ widely with respect to collateral, rates, maturity, and noninterest fees. 
E)  Automobile loans have very homogeneous rates of interest across competing firms. 
Answer: E   

65.  Which of the following factors affect the promised return an FI achieves on any loan? 
A)  The collateral backing of the loan. 
B)  Any fees relating to the loan. 
C)  The interest rate on the loan. 
D)  The credit risk premium on the loan. 
E)  All of the above. 
Answer: E   

66.  Which of the following is not a qualitative factor in credit risk analysis? 
A)  Borrower reputation 
B)  Borrower ethnic origin 
C)  Borrower indebtedness 
D)  The level of interest rates 
E)  Collateral 
Answer: B   

67.  Which of the following statements involving the promised return on a loan is not true? 
A)  Credit risk may be the most important factor affecting the return on a loan. 
B)  Compensating balances reduce the effective cost of loans for the borrower because the deposit rate typically is greater than the loan rate. 
C)  Compensating balances represents the portion of the loan that must be kept on deposit at the bank. 
D)  Compensating balance requirements provide an additional source of return for the lending institution. 
E)  Increased collateral is a method of compensating for lending risk. 
Answer: B   

68.  Which of the following statements does not reflect credit decisions at the retail level? 
A)  Retail customers are more likely to be rationed by interest rate differences than loan quantity restrictions. 
B)  Most loan decisions at the retail level tend to be accept or reject decisions. 
C)  Mortgage loans often are discriminated based on loan to price ratios rather than interest rates. 
D)  Household borrowers require higher costs of information collection for lenders. 
E)  Retail loans tend to be smaller than wholesale loans. 
Answer: A   

69.  Which of the following statements does not reflect a borrower-specific factor often used 
in qualitative default risk models? 
A)  Reputation is an implicit contract regarding borrowing and repayment that extends beyond the formal explicit legal contract. 
B)  A borrowers leverage ratio is positively related to the probability of default over all levels of debt. 
C)  Firms with high earnings variance are less attractive credit risks than those firms that have a history of stable earnings. 
D)  Loans can be collateralized or uncollateralized. 
E)  Reputation is a key reason why initial public offering debt issues have a higher interest rate than do debt issues of more seasoned borrowers. 
Answer: B   

70.  In making credit decisions, the following item is considered a market-specific factor. 
A)  Whether the reputation of the borrower enhances the credit application. 
B)  Whether the current debt-equity ratio is sufficiently low to not impact the probability of repayment. 
C)  Whether the debt can be secured by specific property. 
D)  The position of the economy in the business cycle phase 
E)  Whether the volatility of earnings could present a period where the periodic payment of interest and principal would be at risk. 
Answer: D   

71.  Credit scoring models include all but which of the following broad types of models? 
A)  Linear discriminant models 
B)  Linear probability models 
C)  Term structure models 
D)  Logit models 
E)  More than one of the above is not a credit scoring model. 
Answer: C   

72.  In making credit decisions, the following item is considered a market-specific factor. 
A)  Whether the borrower's capital structure is beyond the point where additional debt increases the probability of loss of principal or interest. 
B)  Whether the relative level of interest rates will encourage the borrower to take excessive risks. 
C)  Whether property can be pledged as collateral. 
D)  Whether the volatility of earnings could present a period where the periodic payment of interest and principal would be at risk. 
E)  Whether the record of the borrower is sufficient to create an implicit contract. 
Answer: B   

73.  Borrower reputation is important in assessing credit quality because 
A)  good past payment performance perfectly predicts future behavior. 
B)  preservation of a good customer/FI relationship acts as an additional incentive to encourage loan repayment. 
C)  FIs only lend to customers they know. 
D)  customers with poor credit histories always default on their loans. 
E)  a reputation for honesty is important in credit appraisal. 
Answer: B   

74.  Which of the following loan applicant characteristics is not relevant in the credit 
approval decision? 
A)  Borrower intentions 
B)  Borrower income 
C)  Collateral value 
D)  Borrower reputation 
E)  None of the above 
Answer: E   

Use the following to answer questions 75-76:

Using a modified discriminant function similar to Altman's, a bank estimates the following coefficients for its portfolio of loans.
Z = 1.4X1 + 1.09X2 + 1.5X3
where X1 = debt to asset ratio; X2 = net income and X3 = dividend payout ratio. 

75.  What is the Z-score if the debt to asset ratio is 40 percent, net income is 12 percent, and the dividend payout ratio is 60 percent? 
A)  1.59 
B)  1.48 
C)  1.36 
D)  1.28 
E)  1.20 
Answer: A   

76.  Using Z=1.682 as the cut-off rate, what should be the debt to asset ratio of the firm in order for the bank to approve the loan? 
A)  40.0 percent 
B)  46.5 percent 
C)  51.5 percent 
D)  54.0 percent 
E)  65.0 percent 
Answer: B   

77.  How can discriminant analysis be used to make credit decisions? 
A)  By discriminating between good and bad borrowers. 
B)  By using statistical analysis to predict the default probabilities. 
C)  By using statistical analysis to isolate and weight factors that are common to bankrupt firms. 
D)  By using statistical analysis to bypass qualitative credit decision making. 
E)  By updating FI bankruptcy experiences. 
Answer: C   

78.  What is the most important factor determining bankruptcy, according to the Altman Zscore model? 
A)  Working capital to assets ratio. 
B)  Retained earnings to assets ratio. 
C)  Earnings before interest and taxes to assets ratio. 
D)  Market value of equity to book value of debt. 
E)  Sales to assets ratio. 
Answer: C   

79.  What is the least important factor determining bankruptcy, according to the Altman 
Zscore model? 
A)  Working capital to assets ratio 
B)  Retained earnings to assets ratio 
C)  Earnings before interest and taxes to assets ratio 
D)  Market value of equity to book value of debt 
E)  Sales to assets ratio 
Answer: D   

80.  Which of the following is not a problem in using discriminant analysis to evaluate credit risk? 
A)  It does not consider gradations of default. 
B)  The weights in the discriminant function are assumed to be constant for long periods of time. 
C)  It can include hard-to-quantify factors. 
D)  Data on loan specific information of banks are readily available. 
E)  The models work efficiently for large numbers of loan applications that have relatively homogeneous types of credit variables. 
Answer: A   

81.  Confidence Bank has made a loan to Risky Corporation.  The loan terms include a default 
risk-free borrowing rate of 8 percent, a risk premium of 3 percent, an origination fee of 0.1875 percent, and a 9 percent compensating balance requirement.  Required reserves at the Fed are 6 percent.  What is the expected or promised gross return on the loan? 
A)  11.19 percent 
B)  11.90 percent 
C)  12.29 percent 
D)  12.02 percent 
E)  12.22 percent 
Answer: E   

Use the following to answer questions 82-86:

The following represents two yield curves.

82.  What is the implied probability of repayment on one-year Brated debt? 
A)  95.00 percent 
B)  97.17 percent 
C)  94.00 percent 
D)  97.00 percent 
E)  97.09 percent 
Answer: B   

83.  What rate is expected on a one-year Brated corporate bond in one year? (Hint: Use the implied forward rate.) 
A)  10.0 percent 
B)  9.09 percent 
C)  14.15 percent 
D)  12.0 percent 
E)  17.0 percent 
Answer: C   

84.  What spread is expected between the one-year maturity Brated bond and the one-year 
Treasury bond in one year? 
A)  3.00 percent 
B)  5.06 percent 
C)  4.00 percent 
D)  5.00 percent 
E)  7.00 percent 
Answer: B   

85.  What is the expected probability of default in year 2 of two-year maturity Brated debt? 
A)  2.83 percent 
B)  3.00 percent 
C)  4.43 percent 
D)  2.68 percent 
E)  5.00 percent 
Answer: C   

86.  What is the probability that two-year Brated corporate debt will be fully repaid? 
A)  92.9 percent 
B)  95.6 percent 
C)  97.2 percent 
D)  7.10 percent 
E)  4.40 percent 
Answer: A   

Use the following to answer questions 87-88:

The following information on the mortality rate of loans as estimated by an FI. 

87.  What is the cumulative mortality rate of the A-rated and B-rated loans for year 2? 
A)  1.0 percent; 2.24 percent 
B)  0.5 percent; 1.24 percent 
C)  1.0 percent; 1.74 percent 
D)  0.5 percent; 0.5 percent 
E)  1.0 percent; 1.0 percent 
Answer: A   

88.  If the cumulative mortality rate in year 3 is 3.46 percent for the B-rated loan, what is its yearly mortality rate in year 3? 
A)  1.25 percent 
B)  1.21 percent 
C)  1.00 percent 
D)  0.90 percent 
E)  0.875 percent 
Answer: A   

89.  Which of the following is not a valid conceptual or application problem of the mortality 
rate approach to estimate default risk? 
A)  Implied future probabilities are sensitive to the period over which MMRs are calculated. 
B)  The estimates are sensitive to the number of issues in each investment grade. 
C)  Syndicated loans seem to have higher mortality rates than corporate bonds. 
D)  The estimated probability values are historic or backward-looking measures. 
E)  The estimates are sensitive to the relative size of issues in each investment grade. 
Answer: C   

Use the following to answer questions 90-95:

Use the following information on spot and forward term structures. 

90.  Calculate the value of x (the implied forward rate on one-year maturity Treasuries to be delivered in one year). 
A)  6.53 percent. 
B)  10.83 percent 
C)  5.75 percent 
D)  6.925 percent 
E)  1.017 percent 
Answer: A   

91.  Calculate the value of y (the implied forward rate on one-year maturity BBB corporate debt to be delivered in one year). 
A)  6.53 percent. 
B)  10.83 percent 
C)  5.75 percent 
D)  6.925 percent 
E)  1.017 percent 
Answer: B   

92.  Using the term structure of default probabilities, the implied default probability for BBB corporate debt during the current year is 
A)  98.0 percent 
B)  2.35 percent 
C)  4.20 percent 
D)  3.90 percent 
E)  2.71 percent 
Answer: C   

93.  Using the term structure of default probabilities, the implied default probability for BBB corporate debt during the following year is 
A)  4.20 percent 
B)  98.0 percent 
C)  2.35 percent 
D)  2.71 percent 
E)  3.90 percent 
Answer: E   

94.  The cumulative probability of repayment of BBB corporate debt over the next two years 
is 
A)  99.84 percent 
B)  90.00 percent 
C)  4.45 percent 
D)  95.70 percent 
E)  100.0 percent 
Answer: A   

95.  If the spot interest rate on a primerated one-month CD is 6 percent today and the market rate on a two-month maturity primerated CD is 7 percent today, the implied forward rate on a one-month CD to be delivered one month from today is 
A)  9 percent 
B)  11 percent 
C)  18 percent 
D)  10 percent 
E)  8 percent 
Answer: E   

Use the following to answer questions 96-99:

The duration of a soon to be approved loan of $10 million is four years. The 99th percentile increase in risk premium for bonds belonging to the same risk category of the loan has been estimated to be 5.5 percent. 

96.  What is the capital (loan) risk of the loan if the current average level of interest rates for this category of bonds is 12 percent? 
A)  $550,000 
B)  $1,564,286 
C)  $1,964,286 
D)  $2,000,000 
E)  $2,200,000 
Answer: C   

97.  If the fee income on this loan is 0.4 percent and the spread over the cost of funds to the bank is 1 percent, what is the expected income on this loan for the current year? 
A)  $40,000 
B)  $100,000 
C)  $140,000 
D)  $180,000 
E)  $280,000 
Answer: C   

98.  What is the estimated risk-adjusted return on capital (RAROC) of this loan. 
A)  6.36 percent 
B)  7.00 percent 
C)  7.13 percent 
D)  10.55 percent 
E)  25.45 percent 
Answer: C   

99.  If the minimum RAROC acceptable to the bank is 8 percent, what should be its expected percentage fee income in order for it to approve the loan? 
A)  1.57 percent 
B)  3.31 percent 
C)  4.71 percent 
D)  5.31 percent 
E)  5.71 percent 
Answer: E   

100.  Choose the best statement. The higher the duration of the loan, ceteris paribus, 
A)  and the lower the current level of interest rates, the higher the RAROC. 
B)  and the lower the expected change in risk premium, the lower the RAROC. 
C)  and the higher the expected change in risk premium, the higher the RAROC. 
D)  and the higher the loan amount, the lower the RAROC. 
E)  and the lower the loan amount, the lower the RAROC. 
Answer: D   

101.  From the lender's point of view, debt can be evaluated as 
A)  writing a call option on the borrower's assets with the exercise price equal to the face value of the debt. 
B)  buying a call option on the borrower's liabilities with the exercise price equal to the market value of the debt. 
C)  buying a put option on the borrower's assets with the exercise price equal to the face value of the debt. 
D)  writing a put option on the borrower's assets with the exercise price equal to the face value of the debt. 
E)  writing a put option on the borrower's liabilities with the exercise price equal to the market value of the debt. 
Answer: D   

Use the following to answer questions 102-103:

Onyx Corporation has a $200,000 loan that will mature in one year.  The risk free interest rate is 6 percent.  The standard deviation in the rate of change in the underlying asset's value is 12 percent, and the leverage ratio for Onyx is 0.8 (80 percent).  The value for N(h1) is 0.02743, and the value for N(h2) is 0.96406. 

102.  What is the current market value of the loan? 
A)  $160,000 
B)  $188,041 
C)  $200,000 
D)  $188,352 
E)  $178,571 
Answer: B   

103.  What is the required yield on this risky loan? 
A)  6.165 percent 
B)  6.00 percent 
C)  0.165 percent 
D)  5.835 percent 
E)  None of the above. 
Answer: A