Answer:
The present value of the annuity is $73,091.50
Explanation:
Use the following formula to calculate the present value of the annuity
Present value of annuity = ( Annuity Payment x Annuity factor for first 6 years ) + [ ( Annuity Payment x Annuity factor for after 6 years ) x Present value factor for 6 years ]
Where
Annuity Payment = $1,000
Annuity factor for first 6 years = 1 - ( 1 + 16%/12 )^-(6x12) / 16%/12 = 46.10028344
Annuity factor for after 6 years = 1 - ( 1 + 13%/12 )^-((17-6)x12) / 13%/12 = 70.0471029820
Present value factor for 6 years = ( 1 + 16%/12)^-(6x12) = 0.385329554163
Placing values in the formula
Present value of annuity = ( $1,000 x 46.10028344 ) + [ ( $1,000 x 70.0471029820 ) x 0.385329554163 ]
Present value of annuity = $46,100.28 + $26,991.22
Present value of annuity = $73,091.50
