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NeX [460]
2 years ago
13

Determine the present value of quarterly payments of $450 for 6 years at 7.5% annual interest, compounded quarterly. PV= R[(1+i)

^-n]/i
Mathematics
1 answer:
alexira [117]2 years ago
3 0

Using it's formula, the present value of the amount is: $288.

<h3>What is the present value formula?</h3>

The present value formula is:

PV = \frac{R}{(1 + r)^n}

In which the parameters are:

  • R is the future value.
  • r is the interest rate.
  • n is the number of periods.

Considering quarterly compounding, the parameters for this problem are as follows:

R = 450, r = 0.075/4 = 0.01875, n = 6 x 4 = 24.

Hence the present value is:

PV = \frac{R}{(1 + r)^n}

PV = \frac{450}{(1.01875)^{24}}

PV = $288

More can be learned about the present value formula at brainly.com/question/20813161

#SPJ1

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