Question #176223

A retirement policy offers 20 yearly payments of 200,000/= beginning at the age 

of 65. What would be the cash equivalent of these payments if money can earn 

interest at an annual rate of interest of 8% compounded annually?


Expert's answer

The cash equivalent of 200000 for the next 20 years, using the formula

FV=PV[(1+r)n1r]FV=PV [\frac{{(1+r)^{n}-1}}{r}]

Where FVFV is the cash equivalent

nn is the number of years

rr is the interest rate and

PVPV is the present value


FV=200000[(1+0.08)2010.08]FV=200000 [\frac{{(1+0.08)^{20}-1}}{0.08}]

\therefore FV=9152392.86FV=9152392.86


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