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An investment product promises to pay $42,000 at the end of 10 years. If an investor feels this investment should produce a rate of return of 12%, compounded annually, what's the most the investor should be willing to pay for the investment

Answer :

TonieCee

Answer:

$13,522

Explanation:

We will be calculating the Present Value of the Principal thus:

[tex]PV = \frac{C}{(1 + r)^{n} }[/tex]

where:

C - cash flow = $42,000

r - rate = 12% (0.12)

n - number of years = 10 years

[tex]PV = \frac{42,000}{(1 + 0.12)^{10} }[/tex]

[tex]PV = \frac{42,000}{(1.12)^{10} }[/tex]

[tex]PV = \frac{42,000}{3.106}[/tex]

[tex]PV = 13,522[/tex]

Therefore the most the investor should be willing to pay for the investment is $13,522

Answer:

13,523

Explanation:

C - cash flow = $42,000

r - rate = 12% (0.12)

n - number of years = 10 years

PV= 42000/(1+0.12)10

PV= 13,522

   Therefore the most the investor should be willing to pay for the investment is $13,522

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