9. Bank ABC offers six-year loans where the principal and interest are repaid at end of the term. Bank ABC wants to earn an annual continuous compounded interest rate of 8% on the loans for deferred consumption. For this loan, the probability that borrowers default is 2%. Unfortunately, for defaulted loans, Bank ABC is unable recover any of the repayment amount. Assuming there is no inflation, what is the rate charged by ABC to compensate for default risk? 010 F)0.0055

9. Bank ABC offers six-year loans where the principal and interest are repaid at end of the term. Bank ABC wants to earn an annual continuous compounded interest rate of 8% on the loans for deferred consumption. For this loan, the probability that borrowers default is 2%. Unfortunately, for defaulted loans, Bank ABC is unable recover any of the repayment amount. Assuming there is no inflation, what is the rate charged by ABC to compensate for default risk? 010 F)0.0055

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 3STP

See similar textbooks

Similar questions

In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $42,000 and the interest rate is 8.50%, the borrower “pays” 0.0850 × $42,000 = $3,570 immediately, thereby receiving net funds of $38,430 and repaying $42,000 in a year. a. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 18.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. But you make these payments in monthly instalments of $108 each. 1) What is the true APR on this loan? 2) What is the effective annual rate on the loan? Please show workings with formulas.
TBTF Bank makes a 7 year interest only loan to AFC Inc of $4,300,000.00. The interest rate on the loan is i(4) = 8.125%, and the payments will be made annually. TBTF reinvests the payments at an interest rate of i(4) = 5.250%. At maturity, what is TBTF Bank's annual ROI over the lifetime of the loan? (AFC does not default.) a. 8.012% O b. 7.778% O c. 7.856% O d. 7.545% O e. 7.701%
Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. You make these payments in monthly instalments of $108 each. 1) What is the true APR on this loan? 2) What is the EAR on the loan?
We charge $2,100 on a credit card with an annual interest rate of 18% and for which the minimum payment is $10 or 2.5% of the balance remaining to be paid, whichever is higher. How long will it take to repay the debt assuming that the minimum payment is always made, and how much will we have paid in total? If we borrow the same $2,100 at the same annual interest rate of 18% but repay it as an amortized loan with a monthly payment of $55, how long will it take to repay the debt, and how much will we have paid in total?.
Which of the following statements is most correct? The first payment under a 3-year, annual payment, amortized loan for $1,000 will include a smaller percentage (or fraction) of interest if the interest rate is 5 percent than if it is 10 percent. If you are lending money, then, based on effective interest rates, you should prefer to lend at a 10 percent nominal, or quoted, rate but with semiannual payments, rather than at a 10.1 percent nominal rate with annual payments. However, as a borrower you should prefer the annual payment loan. The value of a perpetuity (say for $100 per year) will approach infinity as the interest rate used to evaluate the perpetuity approaches zero. Statements a, b, and c are all true. Statements b and c are true.
Victory Markets, LLC ("VML") has a bank loan with a total principal of $3,800,000. The stated annual interest rate for the loan is 8.40%, and the loan is to be amortized with monthly payments over 6 years. VML wants the bank to change the provisions of the loan such that payments are made on an annual basis. What would be the economically equivalent annual interest rate (i.e., economically equivalent to 8.40% compounded monthly) for a loan with annual payments? 8.6632% 8.7311% 9.0023% 8.5987%
Suppose you borrow $2,000 from a bank for one year at a stated annual interest rate of 14 percent, with interest prepaid (a discounted loan). Also, assume that the bank requires you to maintain a compensating balance equal to 20 percent of the initial loan value What effective annual interest rate are yo being charged
The "-5-6" scheme is availed by a lot of individuals and prohibited by law. This transaction is considered usurious because of the unreasonable interest charged by the creditor to the borrower of the loan. It is called 5-6 because when you borrow P5 you are required to pay P6 after a month. This translates into a monthly interest rate of 20%. Assuming monthly compounding, what is the effective annual interest rate of this scheme that makes it too much of a burden to bear by the borrower? Which of the two projects, Project O and Project Y, should the company pursue? Why?
What is the true effective annual interest rate of a small loan which states that the interest charged is only 2% per month of the unpaid balance?
Many lending agencies compound interest more often than yearly, and as we noted in Example P.2, they are required to report the annual percentage rate, or APR, in a prominent place on the loan agreement. Furthermore, they are required to calculate the APR in a specific way. If r is the monthly interest rate, then the APR is calculated using APR = 12 ✕ r. (a) Suppose a credit card company charges a monthly interest rate of 1.8%. What APR must the company report? (Round your answer to the nearest tenth of a percent.) %(b) The phrase annual percentage rate leads some to believe that if you borrow $5000 from a credit card company which quotes an APR of 21.6%, and if no payments are made, then at the end of 1 year interest would be calculated at 21.6% simple interest on $5000. How much would you owe at the end of a year if interest is calculated in this way? (Round your answer to the nearest cent.)$ (c) If interest is compounded monthly (which is common), then the actual amount you would…
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $x million is 1-x. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan. b) Compute the 1-year 99% VaR and ES for the portfolio of both loans. c) Does the VaR and the ES satisfy the subadditivity property in this case?