Question

Ali contributed $1,500 per year for the past 8 years into an RRSP account, earning 3.8%...

Ali contributed $1,500 per year for the past 8 years into an RRSP account, earning 3.8% compounded annually. If he leaves the accumulated contributions for another 5 years in the RRSP at the same rate of interest,
a) How much will Ali have in total in his RRSP account?
b) How much did Ali contribute?
c) How much will be the interest?

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Answer #1
a) PV of annuity = P((1+r)^n-1)/r
P = Periodic payment
r = rate per period
n = number of period
FV of annuity = 1500((1.038)^8-1)/0.038
FV of annuity = $13,723
b) Contribution by Ali = $12,000 (1500*8)
c) Total interest $1,723 (13723-12000)

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