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If $2000 is invested at 8% compounded continuously, what is the amount after 2 years?

If $2000 is invested at 8% compounded continuously, what is the amount after 2 years-example-1

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Given:

P=$2000

r=8% = 0.08

t=2 years

Then, if the interest is compounded continuously for t years at a rate of r per year, then the compounded amount is given by:


A=P\cdot e^(rt)

Therefore:


A=2000\cdot e^((0.08)(2))=2000\cdot e^(0.16)=2347.02

Answer: $2347.02

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