What's the present value of $1,700 discounted back 5 years if the appropriate interest rate is 6%, compounded monthly? a. $1,335.95 b. $1,298.14 c. $1,398.97 d. $1,411.57 e. $1,260.33

Respuesta :

Answer:

e. $1,260.33

Explanation:

If the annual rate is 6%, the monthly interest rate 'r' is:

[tex]r= \frac{6\%}{12}=0.5\%[/tex]

The present value 'P' of an investment 'F', discounted at a monthly rate 'r' for a period of 'n' years is:

[tex]P=\frac{F}{(1+r)^{12*n}}[/tex]

If the future value after 5 years at a rate of 0.5% per month is $1,700, the present value is:

[tex]P=\frac{\$1,700}{(1+0.005)^{12*5}}\\P=\$1,260.33[/tex]

The present value is $1,260.33.

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