An investment offers the following cash flows: $750 one year from now, $800 two years from now, $450 in 3 years, $350 in 4 years, and $450 in 5 years. If the relevant interest rate is 9% per year (an APR, with interest compounded annually), how much is the investment worth in today’s terms?

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An investment offers the following cash flows: $750 one year from now, $800 two years from now, $450 in 3 years, $350 in 4 years, and $450 in 5 years. If the relevant interest rate is 9% per year (an APR, with interest compounded annually), how much is the investment worth in today’s terms?

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nswer : the investment worth in today’s terms = $ 2249.318

Working notes for the above answer is as under

interest rate is 9% per year

$750 one year from now,

$800 two years from now,

$450 in 3 years,

$350in 4 years,

$450 in 5 years

We will find prasent value for the above figure as under

PV = FV/(1+i)N

PV = 750/(1+0.09)1

= 750/1.09

= 688.0734

PV = 800/(1+0.09)2

= 800/1.1881

= 673.344

PV = 450/(1+0.09)3

= 450/1.2950

= 347.48

PV = 350/(1+0.09)4

= 350/1.4116

= 247.94

PV = 450/(1+0.09)5

= 450/1.4386

= 292.46

Total prasent value for five years are as follow

Year C.F. Factor PV
1 750 1.09 688.0734
2 800 1.1881 673.344
3 450 1.295029 347.4826
4 350 1.411582 247.9488
5 450 1.538624 292.4691
2249.318

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