96.9k views
4 votes
what is the value today of $7,400 per year, at a discount rate of 7 percent, if the first payment is received three years from today and the last payment is received 25 years from today?

User Skender
by
7.4k points

1 Answer

1 vote

Final answer:

The present value of $7,400 per year for 23 years at a discount rate of 7% is calculated using the present value of annuity formula. One can obtain the exact figure only by using a financial calculator or software.

Step-by-step explanation:

To calculate the present value of an annuity (equal cash payments) received in the future, we use the present value of annuity formula. Given a discount rate of 7%, the first payment of $7,400 received three years from today, and the last payment received 25 years from today, the number of payments is 23. The present value of annuity formula is: PV = PMT × [(1 - (1 + r)^{-n}) / r], where PMT is the annual payment, r is the discount rate, and n is the number of payments.

Plugging the values into the formula:

PV = $7,400 × [(1 - (1 + 0.07)^{-23}) / 0.07]

Using a financial calculator or appropriate software to compute the present value, we'll find the value today of this stream of payments.

User Lucas Amos
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.