Question

A bank is negotiating a loan. The loan can either be paid off as a lump sum of $100,000 at the end of five years, or as equal annual payments at the end of each of the next five years. If the interest rate on the loan is 8%, what annual payments should be made so that both forms of payment are equivalent? OA. $17,046 OB. $23,864 OC. $13,637 OD, $27,274

Please choose one answer A,B,C, or D thank you

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Answer #1

The answer is A.

Explanation - The present value of lumpsum sum to be paid after 5 years should be equal to the PV of annual payments to be made every year. So,

$100000*0.681 = Annual Payments * 3.993

Annual Payments =$17,046.

Note- 8% percent has been used as the discounting factor and 3.993 is the sum of 0.926+0.857+0.794+0.735+0.681

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