Wednesday, 24 February 2016

Equal Annual Return Formula

Equal Annual Return Formula

Formula for Equal annual return has been given below. Equal annual return formula has been explained with an example.


Annual Return =         = Present Cash flow
                                    Annuity Factor
  


Equal Annual Return Formula Calculation


Equal return cash flows can be calculated by dividing the present cash outflow with annuity factor. It is important to remember that equal annual return is calculated with the help of annuity factor due to time value of money concept.


Equal Annual Return Formula Example


NPV or Present Value = 120,000
Period required for project = 5 Years
Rate of Return = 14%
Calculate equal return from project at required rate of return?

Solution
In first place we would calculate the annuity factor, and then with the help of that annuity factor, the annual equal return would be calculated.

Annuity Factor

= 1-(1.14)-3
     .14

=2.3216

Annual Return

Annual Return =         = Present Cash Flow
                                    Annuity Factor  

= 120,000/2.3216

=51,688

Objective of Equal Annual Return


Primary objective of calculating equal annual return is to compare mutually exclusive project with different project life. Equal annual return makes this comparison possible, and project with a high equal annual return is selected.

 Equal Annual Return Example


                                    Project A                     Project B

NPV                            160,000                      220,000
Period                            3                                      4
Discount                        6%                                   8%



Solution

                                  Project A                     Project B

NPV                            160,000                      220,000
Annuity Factor               2.678                          3.312
Equal Annual Return      59,746                       66,425        


Project B will be selected, because it is offering high amount of equal annual return.

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