### Appendix: Present Value Tables Financial Accounting On the other hand, the future value of an annuity will be greater than the sum of the individual payments or receipts because interest is accumulated on the payments. To find the present value of ordinary annuity find the appropriate period and rate in the tables below.

According to the concept of the time value of money, receiving a lump sum payment in the present is worth more than receiving the same sum in the future. As such, having \$10,000 today is better than being given \$1,000 per year for the next 10 years because the sum could be invested and earn interest over that decade. At the end of the 10-year period, the \$10,000 lump sum would be worth more than the sum of the annual payments, even if invested at the same interest rate. One can also determine the future value of a series of investments using the respective annuity table.

## Present Value of Annuity Formula

For many people, annuities conjure up images of financial and insurance company salespeople peddling retirement products. And while it’s true that annuities are often used for retirement planning, they can also be used for other purposes.

• This shift can be accomplished by multiplying the entire present value expression by ( 1 + i ).
• This equation assumes that the first payment of the annuity is made at the end of the first time period.
• Suppose that Black Lighting Co. purchased a new printing press for \$100,000.
• Annuities can be used for a variety of purposes, including retirement planning, income replacement, and estate planning.
• It is also useful in the decision – whether a lump sum payment is better than a series of future payments based on the discount rate.
• If you don’t have access to an electronic financial calculator or software, an easy way to calculate present value amounts is to use present value tables .

From this potentially long series, a present value formula can be derived. In our illustrative example, we’ll calculate an annuity’s present value under two different scenarios. We’ll now move to a modeling exercise, which you can access by filling out the form below. Next, the result from the previous step is multiplied by one minus [one divided by (one + r) raised to the power of the number of periods].

## Discount Rate

When calculating the present value of an annuity, one factor to consider is the timing of the payment. Earlier cash flows can be reinvested earlier and for a longer duration, so these cash flows carry the highest value . If annuities aren’t your speed, explore other options for retirement income.

• But when you’re calculating multiple payments over time, it can get a bit more complicated.
• Another way to interpret this problem is to say that, if you want to earn 8%, it makes no difference whether you keep \$13,420.16 today or receive \$2,000 a year for 10 years.
• The present value of annuity table contains the factors used to determine an individual cash flow at one point in time.
• Additionally, Annuity.org operates independently of its partners and has complete editorial control over the information we publish.
• The most common type of annuity is the retirement annuity, which is used to provide income during retirement.

Suppose you want to determine the value today of receiving \$1.00 at the end of each of the next 4 years. To solve this, we can construct a table that determines the present values of each of the receipts. The present value of a series of payments or receipts will be less than the total of the same payment or receipts. This is because cash received in the present value of annuity table future is not as valuable as cash received today. Against the annuity payment A, or by using a graphing calculator, and graphing the value of the annuity payment as a function of interest for a given present value. In the latter case, the interest rate is where the line representing the rate of interest intersects the line for the annuity payment.