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Hitman42 [59]
3 years ago
11

Lester's just signed a contract that will provide the firm with annual cash inflows of $28,000, $35,000, and $42,000 over the ne

xt three years with the first payment of $28,000 occurring one year from today. What is this contract worth today at a discount rate of 7.25%?
Business
1 answer:
Free_Kalibri [48]3 years ago
5 0

Answer:

$64,474.20

Explanation:

As for the information provided,

discount rate = 7.25%

First payment will be made at the end of year 1

Discounting factor = \frac{1}{(1+0.0725)^1} = 0.9324

Thus, current value of payment = 28,000 \times 0.9324 = $26,107.20

Discounting factor for receipts =

Year 1 = \frac{1}{(1+0.0725)^1} = 0.9324 = $28,000 \times 0.9324 = 26,107.20

Year 2 = \frac{1}{(1+0.0725)^2} = 0.8694 = 35,000 \times 0.8694 = 30,429

Year 3 = \frac{1}{(1+ 0.0725)^3} = 0.8106 = 42,000 \times 0.8106 = 34,045.20

Therefore, value of contract today = - $26,107.20 + $26,107.20 + $30,429.0 + $34,045.20 = $64,474.20

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