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Veronika [31]
3 years ago
7

Present Value Computations

Business
1 answer:
Rama09 [41]3 years ago
7 0

Answer:

The present value on January 1, 2016, of $30,000 due on January 1, 2020, and discounted at 10% compounded annually is $ 20,490.40  

The present value on January 1, 2016, of $40,000 due on January 1, 2020, and discounted at 11% compounded semiannually is $ 26,063.95  

The present value on January 1, 2016, of $50,000 due on January 1, 2020, and discounted at 16% compounded quarterly is $ 26,695.41  

Explanation:

The present value formula is given as PV=FV*(1+rs/t)^-nt

where FV is the future worth of the amount

rs is the stated interest

t is the number of compounding per year

n is the number of years of investment which 4 years in this case

PV of $30,000 compounded annually:

PV=$30,000*(1+10%/1)^-(1*4)=$20,490.40  

PV of $40,000 compounded semiannually:

PV=$40,000*(1+11%/2)^-(2*4)=$ 26,063.95  

PV of $50,000 compounded quarterly:

PV=$50,000*(1+16%/4)^-(4*4)=$26,695.41  

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