Friday 1 May 2015

IRR Formula for Annuities

IRR Formula for Annuities

Internal rate of return for annuity can be calculated from annuity factor and then using annuity table to determine the rate of return.

Annuity Factor = Cash Outflow/ Cash Inflow

IRR Formula Example (Annuities)

Initial investment
$ 6000
Return for 4 years
$ 2000





Calculate internal rate of return

1.       Annuity Factor
= 6000/2000
= 3

2.       Find the  annuity factor in annuity table

In annuity table factor 3 under the year row is appearing under 13%. Therefore internal rate of return is 12.5%.

Check

1-(1+i)-n
   I
= 3 (Annuity Factor)
= $ 2000 (Annuity amount) x 3 (annuity factor)
= 6,011 (present value of annuity)