What is the present value of the following cash flows at a discount rate of 6 percent? (Round your final answer to whole integer).Year 1 Year 2 Year 3$ 431 $ 488 $ 506
Question
What is the present value of the following cash flows at a discount rate of 6 percent? (Round your final answer to whole integer).Year 1 Year 2 Year 3 488 $ 506
Solution
Alright, let's break this down.
We want to figure out how much the cash flows of 488 in Year 2, and $506 in Year 3 are worth today. To do that, we need to calculate the present value of these future amounts.
Here's how we do it:
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We start with the formula for the present value: PV = FV / (1 + r) ^ t, where FV is the future value, r is the interest rate, and t is the number of years.
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We calculate the present value for each year separately and then add them up.
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For Year 1, FV is 431 / (1 + 0.06) ^ 1 = $406.60
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For Year 2, FV is 488 / (1 + 0.06) ^ 2 = $434.02
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For Year 3, FV is 506 / (1 + 0.06) ^ 3 = $424.26
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We then add up these present values: 434.02 + 1,264.88
So, the present value of the cash flows at a discount rate of 6%, rounded to the nearest whole number, is 431 in Year 1, 506 in Year 3 are worth about $1,265.
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