What is the present value of $1,500 due in 14 years at a (a) 5 percent interest rate and (b) 10 percent rate. Explain why the present value is lower when the interest rate is higher.

Respuesta :

Answer:

a. $757.60

b. $395.00

Explanation:

We have to applied the present value function which is shown in the attachment

a. Given that,  

Future value = $1,000

Rate of interest = 5%

NPER = 14 years

PMT = $0

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after solving this, the present value is $757.60

b. Given that,  

Future value = $1,000

Rate of interest = 10%

NPER = 14 years

PMT = $0

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after solving this, the present value is $395.00

It shows a inverse relationship between the present value and the interest rate. The higher the interest rate, the lower is the present value and the lower the interest rate, the higher is the present value.

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