Question

You deposit $2,500 in a security that compounds money in a continuous manner. The annual rate...

You deposit $2,500 in a security that compounds money in a continuous manner. The annual rate of compounding is 3.1%. If you remain invested for two and half years, how much will you receive at the end (including your initial investments)?

The correct answer is $2701.46  

I want to know how to get the answer.

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Answer #1

We use the formula:

A=P(e)^(r*n)

Where

A=future value

P=present value

R=rate of interest

N=time period

e=2.71828

Hence

A=2500*(2.71828)^(0.031*2.5)

=$2500*1.080582176

Which is equal to

=$2701.46(approx).

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