Harpers Monthly
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Harpers Monthly
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Present Value of Annuity?
Mathilda Harper wants to have enough in her retirement accounts so that, upon retirement, she can withdraw $500 each month for the next 20 years. Assuming that her accounts will earn an average of 6% compounded monthly, what sum of money should she have in her accounts upon retirement?
t = 20*12 = 240
v = 1/(1+i/12) = 1/(1.005)=.995
pv = pmt *v + pmt *v^2+ .......+ pmt v^240 = pmt *v (1+v+v^2+.....+v^19) = pmt *v (1-v^20)/(1-v)
pv = 500 *.9950249 (1-.9950249^240)/(1-.9950249) = 69790.55
or you can use financial cal where
pmt= 500
N= 240
i=6/12=.5
and then find pv = 69790.3858