Question

You are comparing two annuities with equal present values. The applicable discount rate is 6.5 percent. One annuity will pay $2,000 annually, starting today, for 20 years. The second annuity will pay annually, starting one year from today, for 20 years. What is the annual payment for the second annuity

Answer 1

Answer:

the annual payment for the second annuity is $2,130 paid at end of every year

Explanation:

We have following information for 1st annuity:

Rate: 6.5%

Payment (PMT): -$2,000, paid at beginning of every year

Tenor (Nper): 20 years

We use excel to calculate the present value of annuity = PV(rate,Nper,PMT,,1)

=PV(6.5%,20,-2000,,1) = $23,469

Then we calculate the payment for 2nd annuity = PMT(rate,Nper,PV,,0)

=PMT(6.5%,20,23469,,0) = -$2,130

Download xlsx