You deposit $10,000 in a savings account where the interest rate is 3% compounded annually. At the beginning
of the 6th year, the bank raises its interest rate to 3.5%. How much will you have accumulated after 15 years?
Step 1 : | Future value at the end of year 5 | |||
FV= PV*(1+r)^n | ||||
Where, | ||||
FV= Future Value | ||||
PV = Present Value | ||||
r = Interest rate | ||||
n= periods in number | ||||
= $10000*( 1+0.03)^5 | ||||
=10000*1.15927 | ||||
= $11592.74 | ||||
Step 2 : | Value at theend of year 15 | |||
FV= PV*(1+r)^n | ||||
Where, | ||||
FV= Future Value | ||||
PV = Present Value | ||||
r = Interest rate | ||||
n= periods in number | ||||
= $11592.74*( 1+0.035)^10 | ||||
=11592.74*1.4106 | ||||
= $16352.7 |
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