Question

alculate the difference between the present value of $200 per year cash payments for the next 40 years and the present value of $200 per year cash payments in perpetuity. Assume in either case, the first payment occurs one year from today and that the appropriate discount rate is 8%/year. The difference in the present value of these two streams of future cash payments that you calculated equals the present value of cash payments over what period of time?

Answer 1

Present value of annuity = PV(8%,40,-200,0,0)

Present value of annuity = $2,384.93

Present value of Perpetuity = 200/ 8%

Present value of Perpetuity = 200 / 0.08

Present value of Perpetuity = 2500

The difference between the Present value = $2,500 - $2,384.93 = $115.07

However, both does not equal as time value has to be considered.