Question

In: Finance

Compute the future view of an investment and use your figure in a sentence.

Compute the future view of an investment and use your figure in a sentence.

Solutions

Expert Solution

Let us take an investment of $10,000

This is deposited in an account the earns 6% interest compounded annually for 5 years

Now the formula to calculate future value is

I * (1+r)n

Where I is the investment amount

r is the rate of interest

n is the number of periods

Now the future value is 10,000 * ( 1 + 0.06)5

Hence the future value is 10,000 * 1.338226

13382.26

This can be better shown with the below table.

Year Opening Investment Compounding factor Closing Investment
1                              10,000                                1.060                        10,600.0
2                              10,600                                1.060                        11,236.0
3                              11,236                                1.060                        11,910.2
4                              11,910                                1.060                        12,624.8
5                              12,625                                1.060                        13,382.3

In a single sentence we can say that "" AN AMOUNT IF $10,000 INVESTED IN AN ACCOUNT THAT GIVES 6% INTEREST COMPIOUNDED ANNUALLY GIVES US $13,382.3 AT THE END OF YEAR 5""


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