. I saved $3,500 per six month period for seven years into my savings account earning 2% compounded annually. After the seven years, I stopped making contributions, but left the money in the bank for another five years, at 2.4% compounded annually.
b) How much interest did I earn over the 12 year period?
Calculate using ba 2 plus calculator
ans a) | Effective annual interest rate = | 2.00% | ||
Interest rate compounded semiannual | ((1+2%)^(1/2)-1)*2 | |||
Interest rate compounded semiannual | 1.990% | |||
monthly rate = 1.99%/2 | 0.995% | |||
we have to use finanical calculator to solve this | ||||
Put in calculator, set the calculator at BEGIN mode | ||||
PV | 0 | |||
PMT | -3500 | |||
I | 0.995% | |||
N | 7*2 | 14 | ||
Compute FV | $52,298.90 | |||
Future value at 12 year | ||||
Put in calculator | ||||
PV | ($52,298.90) | |||
PMT | 0 | |||
I | 2.40% | |||
N | 5 | |||
Compute FV | $58,883.32 | |||
ans = | $58,883.32 | |||
Ans b) | ||||
Total amount of interest earned = | $9,883.32 | |||
58883.32-3500*7*2 |
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