You Have Just Taken Out a Loan for $75,000

question 12

Multiple Choice

You have just taken out a loan for $75,000. The stated (simple) interest rate on this loan is 10 percent, and the bank requires you to maintain a compensating balance equal to 15 percent of the initial face amount of the loan. You currently have $20,000 in your checking account, and you plan to maintain this balance. The loan is an add-on installment loan which you will repay in 12 equal monthly installments, beginning at the end of the first month.
-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 you being charged?

• A) 14.00%
• B) 8.57%
• C) 16.28%
• D) 21.21%
• E) 28.00%

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Definitions:

Revolving-Credit Agreement

A financial agreement permitting a business or person to lend, pay back, and re-lend funds up to an approved borrowing limit.

Commitment Fee

A fee paid by a borrower to a lender to keep a line of credit open or to guarantee a loan's terms.

Contractual Agreement

A contractual agreement is a legally binding exchange of promises or an agreement between parties that is enforceable by law.

Accruals

Accounting method where revenues and expenses are recorded when they are earned or incurred, regardless of when the cash transaction happens.