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Harper Engine Company needs \(631,000 to take a cash discount of 2.5/20, net 75. A banker will lend the money for 55 days at an interest cost of \)13,300.

c. Should Harper borrow the money to take the discount?

Short Answer

Expert verified

The firm should borrow the funds.

Step by step solution

01

Information provided in the question

Loan amount = $631,000

Loan term = 55 days

Interest = $13,300

Discount = 2.5%

Discount period = 20 days

Payment period =75 days

02

Calculation of the cost of not taking the discount

The cost of not taking the discount is 16.77%.

Costofnottakingdiscount=Discountpercentage100%-Discountpercentage×360Finalduedate-Discountperiod=2.5%97.5%×36075-20=16.77%

03

Calculation of effective interest rate

The effective interest rate is 13.75%.

Effectiveinterestrate=InterestPrincipal×DaysinayearDaysoutstandingintheloan=$13,300$631,000×36055=13.75%

04

Decision on whether the firm should borrow or not

The effective interest rate is 13.75% and the cost of not taking the loan is 16.77%. The firm should borrow the funds for taking advantage of the cash discount.

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