Answer to Question #171428 in Financial Math for King

Question #171428

future value of ordinary Annuity


metrobank is paying 8% interest compounded quarterly. Find the future value 10,000 deposited at the end of every three months for 6 years


1
Expert's answer
2021-03-22T15:50:40-0400
FV=(1+i)n1iRFV=\dfrac{(1+i)^n-1}{i}\cdot R

Given

R=10000R=10000

r=0.084=0.02r=\dfrac{0.08}{4}=0.02

n=46=24n=4\cdot6=24


FV=(1+0.02)2410.0210000=304218.62FV=\dfrac{(1+0.02)^{24}-1}{0.02}\cdot 10000=304218.62

FV=304218.62FV=304218.62


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