Question

our uncle is about to retire, and he wants to buy an annuity that will provide him with $57,000 of income a year for 20 years, with the first payment coming immediately. The going rate on such annuities is 5.25%. How much would it cost him to buy the annuity today?

Answer 1

It cost him 640,617 dollars

Step-by-step explanation:

as the first payment start today we will calculate the present value for an annuity-due of 57,000 for 20 years discounted at 5.25%

`C * (1-(1+r)^(-time) )/(rate) = PV\\`

C 52,500

time 20

rate 0.0525

`52500 * (1-(1+0.0525)^(-20) )/(0.0525) = PV\\`

PV $640,617