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Annuities

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Many business transactions involve a temporary stream of payments. Loans, for instance, are often paid over the course of many years at a set interest rate.

This stream of equal payments is often called an annuity.

There are two types of annuities:

  • Ordinary annuities are paid at the end of each period.
  • Annuities due are paid at the beginning of each period.

A simple trick to remember the difference is that the earlier in the name you see the word annuity, the sooner in a period each payment is required.

Inputting the type of annuity, the number of periods, and the interest rate into a complicated formula yields the present value factor. Multiplying this factor by the size of a single payment provides the present value of the stream of payments.

Question Ultra Biz, the famed shoelace vendor, bought an annuity that pays $5,486.00 at the start of each year, for the next 9 years. The prevailing interest rate is 5%.
  • The present value factor for an ordinary annuity at 5% for 9 years is 7.10782.
  • The present value factor for an annuity due at 5% for 9 years is 7.46321.

What is the present value of the annuity?
Answer