SOLUTION: How much money should be invested at 5% interest, compounded quarterly, so that 12 years later the investment will be worth $5000? This amount is called the present value of $5000

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Question 1058422: How much money should be invested at 5% interest, compounded quarterly, so that 12 years later the investment will be worth $5000? This amount is called the present value of $5000 at 5% interest.
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
Using the equation:

FV+=+PV%281+%2B+r%2Fn%29%5E%28nt%29

where FV is the future value, PV is the present value, r is the annual interest rate, n is the
number of periods per year, and t is the number of years.

Rearranging the equation gives:

PV+=+FV+%2F+%281+%2B+r%2Fn%29%5E%28nt%29

Substituting the given values gives:

PV = ($5000)/(1 + 0.05/4)^(4*12)

PV = ($5000)/(1.0125)^48

PV = $5000/1.8154

PV = $2,754.28