Average Rate of Return
ARR formula
The formula for ARR is:
ARR = average annual profit / average investment
Where,
Average investment = (book value at year 1+ book value at end of useful life) / 2
Average annual profit = total profit over investment period/number of years.
ARR – Example 1
XYZ Company is looking to invest in some new machinery to replace its current malfunctioning one. The new machine, which costs $420,000, would increase annual revenue by $200,000 and annual expenses by $50,000. The machine is estimated to have a useful life of 12 years and zero salvage value.
Calculate the depreciation expense per year: $420,000 / 12 = $35,000
Calculate the average annual profit: $200,000 – ($50,000 + $35,000) = $115,000
Use the formula: ARR = $115,000 / $420,000 = 27.4%
Therefore, this means that for every dollar invested, the investment will return a profit of about 27 cents.