Question

The future value of $1,000 compounded annually for 8 years at 12% may be calculated with...

The future value of $1,000 compounded annually for 8 years at 12% may be calculated with the following formula:

FV = $1,000 * (1 + 12%)8

If the same $1,000 was compounded quarterly, what formula would you use to calculate the FV?

Multiple Choice

  • FV = $1,000 * (1 + 3%)8

  • FV = $1,000 * (1 + 12%)32

  • FV = $1,000 * (1 + 3%)32

  • FV = $1,000 * (1 + 12%)2

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Answer #1

3th option: $10000*(1+3%)32

For calculating quarterly : formula will change as follow:

FV=$1000*(1+12*/4) 8*4

Means interest will be divided by 4 and time will be multiplied by 4.

General Formula= FV= 1000* (1+12%/n) 8*n

where n=2 for half yearly n=4 for quarterly etc

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