Answer:
$1,916.2
Explanation:
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. In this question the payment of $95 per month for 24 months at APR of 16% is an annuity.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where P = Annual payment = $95
First, Calculate the effective rate
EAR = ( 1 + 16%/12 )^12 - 1 = 17.2%
r = rate of return = 17.2% annual = 17.2% / 12 = 1.44% per month
n = number of years = 24 months
Placing value in the Formula
PV of annuity = $95 x [ ( 1- ( 1+ 1.44% )^-24 ) / 1.44% ]
PV of Annuity = $1,916.2
