Go Debt Bank Limited quotes a 9 percent interest rate on loans for 1 year. You are seeking a loan of $50,000 and as such you are expected to pay $4,500 in interest for the year. The terms of the loan requires you to repay the principal and interest at the end of year one = $54,500. Go Debt Bank Limited thus requires you to pay $54,500 over a 12 month period, or $4,541.67, per month over the next 12 months. Is this a 9 percent loan? What rate should be legally quoted? What is the effective annual rate? Show all working.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Go Debt Bank Limited quotes a 9 percent interest rate on loans for 1 year. You are seeking a loan of $50,000 and as such you are expected to pay $4,500 in interest for the year. The terms of the loan requires you to repay
the principal and interest at the end of year one = $54,500. Go Debt Bank Limited thus requires you to pay $54,500 over a 12 month period, or $4,541.67, per month over the next 12 months.

Is this a 9 percent loan?
What rate should be legally quoted?
What is the effective annual rate?

Show all working.

Expert Solution
Introduction:

Interest rate that is charged on the loan is the rate of return that is expected by the Bank. Generally, banks quote the annual interest rate.

First subpart:

No, the loan is not 9% percent loan as the interest amount is added to the loan amount in the beginning of the year only and borrower needs to pay $4,541.67 per month for a year.

The correct annual interest rate as per the monthly payments should be quoted by the bank.

 

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