# How much would you have to invest today to receive $12,000 in 6 years at 12 percent?

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How much would you have to invest today to receive:

a. $12,000 in 6 years at 12 percent?

b. $15,000 in 15 years at 8 percent?

c. $5,000 each year for 10 years at 8 percent?

d. $40,000 each year for 40 years at 5 percent?

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##### Solution Summary

This solution provides step by step calculations for the present values of single cash flow and annuities.

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PVIF= Present Value Interest Factor

PVIFA= Present Value Interest Factor for an Annuity

PVIFA( n, r%)= =[1-1/(1+r%)^n]/r%

PVIF( n, r%)= =1/(1+r%)^n

a. $12,000 in 6 years at 12 percent?

We will have to invest the PV of this amount

Rate=r= 12%

No of years=n= 6

Amount= $12,000.00

PVIF= (6 ...

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