A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the purchase price in each of the next 3 years. If you pay the entire bill immediately, you can take a discount of 10% from the purchase price. Assume the product sells for $100. a-1. Calculate the present value of the payments if you can borrow or lend funds at an interest rate of 5 percent. (Do not round intermediate calculations. Round your answer to 2 decimal places.) a-2 Which is a better deal

Question

Gianni Brooks

Business

14 January, 11:52

A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the purchase price in each of the next 3 years. If you pay the entire bill immediately, you can take a discount of 10% from the purchase price. Assume the product sells for $100. a-1. Calculate the present value of the payments if you can borrow or lend funds at an interest rate of 5 percent. (Do not round intermediate calculations. Round your answer to 2 decimal places.) a-2 Which is a better deal

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Answers (1)

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Susan Douglas · Answer 1

a-1. The present value of Plan 1 = $93.08

a-2. The deal 2 which involves paying immediately adn taking the 10% discount is better.

Explanation:

a-1.

The interest rate of 5% is taken as the discount rate to convert future cash flows into the present value.

The First payment plan with installments has a present value of,

Present Value-Plan 1 = 25 + 25/1.05 + 25/1.05² + 25/1.05³ = $93.08

a-2.

The first plan will cost $93.08 in the present value.

The second plan will involve immediate payment and a discount of 10%vwhch makes the present value of plan 2 as $90 (100 - (100*0.1)).

Thus, the second deal or deal involving immediate payment and taking the discount is better.