Question

The York Company has arranged a line of credit that allows it to borrow up to $64 milion at any time. The interest rate is .640 percent per month. Additionally, the company must deposit 6 percent of the amount borrowed in a non-interest bearing account. The bank uses compound interest on its line-of-credit loans. What is the effective annual rate on this line of credit?

Answer 1

Answer:

8.46%

Explanation:

Monthly interest rate = 0.640%

Number of month in year = 12

Investment in non-interest bearing = 6%

Effective annual interest = [(1 + Monthly interest rate)^Number of month] - 1 / (1 - Investment in Non-interest)

Effective annual interest = [(1 + 0.640%)^12] - 1 / (1 - 6%)

Effective annual interest = (1.0064)^12 - 1 / 0.94

Effective annual interest = 1.07956187072 - 1 / 0.94

Effective annual interest = 0.07956187072 / 0.94

Effective annual interest = 0.084640288

Effective annual interest = 8.46%

Hence, the Effective annual is 8.46%.