A bank has made a loan charging a base lending rate of 8%. It expects a probability of default of 5%. If the loan is defaulted, it expects to recover 50% of its money through the sale of its collateral. The expected return on this loan is _____% (rounded to two decimal places).
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A bank has made a loan charging a base lending rate of 8%. It expects a probability of default of 5%. If the loan is defaulted, it expects to recover 50% of its money through the sale of its collateral. The expected return on this loan is _____% (rounded to two decimal places).
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- What is the yield to maturity (YTM) on a simple loan for $1,500 that requires a repayment of $4,500 in five years' time? The yield to maturity is 24.6 %. (Round your response to one decimal place.)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.)A bank has made a 3-year $10 million dollar loan that pays annual interest of 8%. The principal is due at the end of the third year. A. The bank is willing to sell this loan with recourse at 8.5% discount rate. What should it expect for selling this loan? B. It also has the option of selling this loan without recourse at a discount rate of 8.75%. What should it expect for selling this loan? C. If the bank expects a ½% probability of default on this loan, is it better off selling this loan with or without recourse? It expects to receive no interest payments or principal if the loan is defaulted. D. Why do you think that the interest rate in part A is different from the interest rate in part B?
- A bank is offering a loan of $20,000 with an interest rate of 9%, payable with monthly payments over a 4-year period. a. Calculate the monthly payment required to repay the loan. b. This bank also charges a loan fee of 4% of the amount of the loan, payable at the time of the closing of the loan (that is, at the time the borrower receives the money). What effective interest rate is the bank charging?1. Let's assume that a loan of $100,000 with an annual interest rate of 6% over 30 years pays monthly payments of $500. a. Calculate the accumulation rate b. Calculate the payment rate . c. Answer : How will the balance of the principal be at the end of the loan in relation to the original amount of the loan? Less, equal or greater? Provide calculations.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?
- A bank makes a loan with the following characteristics: monthly payments for 10 years, with an APR of 6%. The amount loaned is $200,000. What is the duration of the loan? What is the expected change in loan value if the interest rate decreases by 1 percentage point immediately after approving the loan. Choose the closest answer below. 5.32 years; -$10,037 3.21 years; $6,056 4.55 years; -$8,577 6.74 years; $12,716Van Buren Resources Inc. is considering borrowing $100,000 for 182 days from its bank. Van Buren will pay $6,000 of interest at maturity, and it will repay the $100,000 of principal at maturity. a. Calculate the loan’s annual financing cost. b. Calculate the loan’s annual percentage rate. c. What is the reason for the difference in your answers to Parts a and b?Suppose that you want to take out a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the loan is 1%, determine the nominal interest rate that the bank will charge you. What was the actual real interest rate on the loan if, over the life of the loan, actual inflation is 0.5%?
- You've worked out a line of credit arrangement that allows you to borrow up to $70 million at any time. The interest rate is .375 percent per month. In addition, 4 percent of the amount that you borrow must be deposited in a noninterest-bearing account. Assume that your bank uses compound interest on its line-of-credit loans. a. What is the effective annual interest rate on this lending arrangement? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.1 b. Suppose you need $25 million today and you repay it in eight months. How much interest will you pay? Note: Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to 2 decimal places, e.g., 1,234,567.89. a. Effective annual rate b. Total interest paid %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 chargedFind the return on a loan under the following conditions. The base rate on the loan is 5%, the risk premium applied is 4%. The bank charges a 0.5% origination fee, imposes a 5% compensating balance and is subject to a 10% reserve requirement.