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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 3431 431 488 $ 506

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Solution

Alright, let's break this down.

We want to figure out how much the cash flows of 431inYear1,431 in Year 1, 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:

  1. 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.

  2. We calculate the present value for each year separately and then add them up.

  3. For Year 1, FV is 431,ris6431, r is 6% or 0.06 in decimal form, and t is 1 year. So, PV = 431 / (1 + 0.06) ^ 1 = $406.60

  4. For Year 2, FV is 488,ris6488, r is 6% or 0.06 in decimal form, and t is 2 years. So, PV = 488 / (1 + 0.06) ^ 2 = $434.02

  5. For Year 3, FV is 506,ris6506, r is 6% or 0.06 in decimal form, and t is 3 years. So, PV = 506 / (1 + 0.06) ^ 3 = $424.26

  6. We then add up these present values: 406.60+406.60 + 434.02 + 424.26=424.26 = 1,264.88

So, the present value of the cash flows at a discount rate of 6%, rounded to the nearest whole number, is 1,265.Thismeansthat,intodaysdollars,thecashflowsof1,265. This means that, in today's dollars, the cash flows of 431 in Year 1, 488inYear2,and488 in Year 2, and 506 in Year 3 are worth about $1,265.

This problem has been solved

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