You plan to deposit money in a saving account earning 10% p.a. You will make 4...
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You plan to deposit money in a saving account earning 10% p.a. You will make 4 annual deposits of $7,000 each. The first deposit will be made today, and the second deposit will be made one year from today and so on. No deposits will be made after the fourth deposit. What will be the accumulated sum available at the end of 20 years with annual compounding?
Homework Answers
We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.
Hence
A=$7000*(1.1)^20+$7000*(1.1)^19+$7000*(1.1)^18+$7000*(1.1)^17
=$7000*[(1.1)^20+(1.1)^19+(1.1)^18+(1.1)^17]
=(7000*23.45779659)
which is equal to
=$164,204.58(Approx).
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