Sat 22 Nov, 2008
•Annuity is a fixed payment (or receipt) each year for a specified number of years. If you rent a flat and promise to make a series of payments over an agreed period, you have created an annuity.
•If the annuity cash flow occurs at the end of each period, it is called regular annuity or Deferred Annuity.
•If the annuity occurs at the beginning of each period, it is called Annuity Due.
Future Value of an Deferred Annuity
•The future value of a Deferred Annuity is calculated as under:
•The term within brackets is the compound value factor for an annuity of Re 1, which we shall refer as CVFA.
Example
•Suppose that a firm deposits Rs 5,000 at the end of each year for 4 years at 6% rate of interest. How much would this annuity accumulate at the end of the fourth year?
•We first find CVFA which is 4.3746. If we multiply 4.375 by Rs 5,000, we obtain a compound value of Rs 21,875:
Future Value of an Annuity Due
•The future value of an Annuity Due is calculated as under:
•The term within brackets is the compound value factor for an annuity of Re 1, which we shall refer as CVFA.