Suppose you borrowed $10, 000 at an interest rate of 12% compounded monthly over 48 months. At the end of the first year (after 12 payments), you want to negotiate with the bank to pay off the remainder of the loan in 12 equal quarterly payments. What quarterly payment must be made if the nominal interest rate (12%) and compounding frequency (monthly) remain the same? Please explain well. Show cash flow diagram

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose you borrowed $10, 000 at an interest rate of 12% compounded monthly over 48 months. At the end of the first year (after 12 payments), you want to negotiate with the bank to pay off the remainder of the loan in 12 equal quarterly payments. What quarterly payment must be made if the nominal interest rate (12%) and compounding frequency (monthly) remain the same? Please explain well. Show cash flow diagram
Expert Solution
Step 1

Loan amount (P)=$10,000

Rate of interest =12% compounded monthly 

This loan is a fixed payment loan and this monthly payment is for 48 months. But after 1 year i.e. 12 monthly payments, the remaining amount is going to be paid the quarterly payment for 12 quarters.

We have to find this quarterly payment value. 

 

 

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