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).

