Question

Dr. Ruth is going to borrow $8,700 to help write a book. The loan is for one year and the money can be borrowed at either the prime rate or the LIBOR rate. Assume the prime rate is 9 percent and LIBOR 0.5 percent less. Also assume there will be a $75 transaction fee with LIBOR (this amount must be added to the interest cost with LIBOR). a. What is the effective interest rate on the LIBOR loan

Answer 1

Answer: 9.37%

Explanation:

The effective interest rate on the LIBOR loan is calculated as follows based on the information given in the question:

Principal = $8700

Prime rate = 9%

LIBOR net interest rate = 9% - 0.5% = 8.5%

Interest Cost will be:

= 8700 × 8.50 × 1/100

= 739.50

We the add the transaction Fee of $75 and thus will be:

= $739.50 + $75.00

= $814.50.

Then, the effective interest rate will be:

= $814.50 × 100/$8700

= $814.50 × $0.0115

= 9.37%