What is the value today of an annuity of $5,900 per year, with the first cash flow received three years from today and the last one received 25 years from today? Use a discount rate of 8 percent.

Respuesta :

Answer:

Present value of an annuity of $5,900 per year is $52,460

Explanation:

This question will be solved using Advanced Annuity formula as below:

Value of Annuity three years from now = [tex]P+P [\frac{1-(1+r)^{-(n-1)} }{r}][/tex]

Value of Annuity three years from now = [tex]5900+5900 [\frac{1-(1+0.08)^{-22} }{0.08}][/tex]

Value of Annuity three years from now = [tex]5900+(5900 X{10.53})[/tex]

Value of Annuity three years from now =5,900 + 60,184

Value of Annuity three years from now = 66,084

Present Value of annuity = 66,084 x [tex](1+0.08)^{-3}[/tex]

Present Value of annuity = 66,084 x 0.79383

Present Value of annuity = $52,460

So the Present value of an annuity of $5,900 per year is $52,460 if the first cash flow received three years from now