USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)
As a relationship officer for a money-center commercial bank, one of your corporate accounts has just approached you about a one-year loan for $3,000,000. The customer would pay a quarterly interest expense based on the prevailing level of LIBOR at the beginning of each quarter. As is the bank's convention on all such loans, the amount of the interest payment would then be paid at the end of the quarterly cycle when the new rate for the next cycle is determined. You observe the following LIBOR yield curve in the cash market:

-Refer to Exhibit 15.3. If 90-day LIBOR rises to the levels "predicted" by the implied forward rates, what will the dollar level of the bank's interest receipt be at the end of the fourth quarter?
A) $36,223.50
B) $40,500.00
C) $38,250.00
D) $36,375.00
E) $0

Question

USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)
As a relationship officer for a money-center commercial bank, one of your corporate accounts has just approached you about a one-year loan for $3,000,000. The customer would pay a quarterly interest expense based on the prevailing level of LIBOR at the beginning of each quarter. As is the bank's convention on all such loans, the amount of the interest payment would then be paid at the end of the quarterly cycle when the new rate for the next cycle is determined. You observe the following LIBOR yield curve in the cash market:
 
-Refer to Exhibit 15.3. If 90-day LIBOR rises to the levels "predicted" by the implied forward rates, what will the dollar level of the bank's interest receipt be at the end of the fourth quarter?
A) $36,223.50 
B) $40,500.00 
C) $38,250.00 
D) $36,375.00 
E) $0

Quizplus · Accepted Answer

The correct answer is A. The dollar level of the bank's interest receipt at the end of the fourth quarter will be $36,223.50. This is calculated by multiplying the notional amount of the loan by the implied forward rate for the fourth quarter, which is 3.5%.