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
