Test bank chapter 1 Introduction

Solution: Dollar interest cost = $20,000 x 0.12 = $2,400.
Effective interest rate = $2,400/($20,000 - $2,400) = 13.64%.

33. A firm borrows $20,000 at 10 percent. What is the effective rate of interest if the principal and its interest are paid at maturity?

A. 11.11%
B. 11.00%
C. 10.50%
* D. 10.00%
E. 9.45%


Solution: Dollar interest cost = $20,000 x 0.10 = $2,000.
Effective rate of interest = $2,000/$20,000 = 10%.

34. What is the effective interest rate on a $10,000 loan at 12 percent interest rate if the bank requires a 20-percent compensating balance and a payment of the interest at maturity?

* A. 15%
B. 14%
C. 13%
D. 12%
E. 11%


Solution: 12/(100 - 20) = 15%.

35. What is the effective interest rate on a $10,000 loan at 12 percent interest rate if the bank requires a 20-percent compensating balance and an advance payment of the interest?

A. 12.55%
B. 13.55%
C. 15.65%
D. 16.65%
* E. 17.65%


Solution: 12/(100 - 20 - 12) = 17.65%.

36. A US company borrows Swiss francs for one year at 8 percent. The Swiss franc is expected to depreciate by 6 percent against the dollar for one year. What is the effective interest rate of the loan in US dollar terms?

A. 1.00%
* B. 1.52%
C. 2.00%
D. 2.50%
E. 3.11%


Solution: Use Equation (14-1).
r = [(1 + 0.08)(1 + (-0.06) - 1] = 1.52%.

37. A US company borrows British pounds for one year at 6 percent. The US one-year interest rate is 8 percent. The one-year forward rate of the pound is $1.93. The spot rate of the pound at the beginning is $1.95. The pound's spot rate is $2.05 by the end of the year. Based on the information, compute the percentage change in pound and the effective interest rate of the loan in US dollar terms.

A. 5.1%, 10.0%
B. 6.1%, 11.4%
* C. 5.1%, 11.4%
D. 7.0%, 12.0%
E. 8.0%, 12.5%