Question #275265

A house which is valued at 2,600, 000 appreciated at rate of 12% per year



I. What will be its value after two and half years?



ii. After how long will its value be 4200,000

1
Expert's answer
2021-12-05T22:49:51-0500

i)

FV=PV(1+r)nFV=PV(1+r)^n

FV=2600000(1+0.12)2.5=3451583.66FV=2600000(1+0.12)^{2.5}=3451583.66


ii)

n=ln(FV/PV)ln(1+r)=ln(42/26)ln1.12=4.23n=\frac{ln(FV/PV)}{ln(1+r)}=\frac{ln(42/26)}{ln1.12}=4.23 years


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