Peter has borrowed $8,600 to pay for his new car. The annual interest rate on the loan is 7.4 percent, and the loan needs to be repaid in four payments. What will be his annual payment if he begins his payment today now? (Round to the nearest dollar.)   a. $2,850 b. $2,656 c. $2,385 d. $2,448

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
Section: Chapter Questions
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Peter has borrowed $8,600 to pay for his new car. The annual interest rate on the loan is 7.4 percent, and the loan needs to be repaid in four payments. What will be his annual payment if he begins his payment today now? (Round to the nearest dollar.)

 

a. $2,850

b. $2,656

c. $2,385

d. $2,448

Expert Solution
Step 1: Analysis

We need to use present value of annuity due formula to calculate annual payment of loan.

P M T space equals open curly brackets fraction numerator P asterisk times i over denominator 1 minus 1 over left parenthesis 1 plus i right parenthesis to the power of n end fraction close curly brackets asterisk times fraction numerator 1 over denominator left parenthesis 1 plus i right parenthesis end fraction

Where

PMT =Periodic payment

P=Loan

i=interest rate

n=number of periods

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