What is the present value of 30 payments of 30000 at market

What is the present value of 30 payments of $30,000 at market rate of 4% interest per period?

Solution

present value of series of payments in other words present value of annuity

=> A [ 1 -(1+r)^(-n)] / r

here

A = $30,000

r = 4% =>0.04.

n = 30 payment periods.

now,

present value of annuity = $30,000*[1- (1.04)^(-30)]/ 0.04

=> $30,000 * [ 0.6916813/0.04]

=>$30,000 * 17.2920325.

=>$518,760.975

=>$518,761........(rounded to nearest dollar).

What is the present value of 30 payments of $30,000 at market rate of 4% interest per period?Solutionpresent value of series of payments in other words present

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