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In Problem 22, if the compensating balance were 20 percent instead of 27 percent, would your answer change? Do the appropriate calculation.

Short Answer

Expert verified

The company should follow Duke’s proposal as the cost of borrowing is less than the cost of not taking the discount.

Step by step solution

01

Information provided in the question

Discount = 3%

Discount period = 17 days

Payment period =45 days

Interest rate = 16%

Compensating balance = 20%

02

Calculation of the cost of not taking the discount

The cost of not taking the discount is 39.7%.

Costofnottakingdiscount=Discountpercentage100%-Discountpercentage×360Finalduedate-Discountperiod=3%97%×36045-17=39.7%

03

Calculation of cost of effective interest rate on the loan

The effective interest rate is 20%.

Effectiveinterestrate=Interestrate1-Compensatingbalancerate=16%1-0.2=20%

04

Decision on which proposal to be selected

The effective interest rate will be 20% when the compensating balance rate is 20% instead of 27%. In this case also, the cost of borrowing is less than the cost of not taking discount, so the company should follow Duke’s proposal.

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