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Using the appropriate interest table, answer each of the following questions. (Each case is independent of the others.) (a) What is the future value of \(7,000 at the end of 5 periods at 8% compounded interest? (b) What is the present value of \)7,000 due 8 periods hence, discounted at 6%? (c) What is the future value of 15 periodic payments of \(7,000 each made at the end of each period and compounded at 10%? (d) What is the present value of \)7,000 to be received at the end of each of 20 periods, discounted at 5% compound interest?

Short Answer

Expert verified

The future value of $7,000 compounded annually at 8% will be $10,285, the present value of $7,000 discounted at 6% will be $4,392, the future value of periodic payments of $7,000 will be $222,408, and the present value of $7,000 periodically will be $87,235.

Step by step solution

01

Step 1:Computation of future value

FutureValue=PresentValue×FVfactor=7,000×1.4693=$10,285

02

Computation of Present value

PresentValue=FutureValue×PVfactor=7,000×0.62741=$4,392

03

Calculation of future value of the periodic payment

FutureValue=PeriodicPayment×FVfactor=7,000×31.7725=$222,408

04

Calculation of Present Value of the periodic payment

PresentValue=PeriodicPayment×PVfactor=7,000×12.4622=$87,235

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