Question

Fanagi Corp. borrowed $50,000 from its bank at a 6% annual interest rate and will repay $514,286. Assume annual compounding.Periods 1% 1.01000 1.02010 1.03030 1.04060 1.05101 1.10462 1.22019 1.28243 1.34785 1.41660 1.48886 2% 1.02000 1.04040 1.06121

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Answer #1

We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period

514286=50,000*(1.06)^n

(514286/50,000)=(1.06)^n

Taking log on both sides;

log10.28572 =n*log 1.06

n=log 10.28572/log 1.06

=40 years

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