posted by nikki on .
Mr. Strupp expects to retire in 12 years. Beginning one month after his retirement, he would like to receive $500 per month for twenty years. How much must he deposit into a fund today to be able to do so if the rate of interest on the deposit is 12% compounded monthly?
t = 20yrs * 12mo/yr = 240mo.
Pt = $500/mo * 240mo = $120,000.
Pt = Po(1+r)^n = $120,000.
r = 12%/12mo = 1%/mo = 0.01 = Monthly
% rate expressed as a decimal.
n = 1 comp/mo. * 240mo = 240 comp. periods.
Po(1.01)^240 = 120,000,
Po = 120,000 / (1.01)^240 = $11,016.70.