Calculating ROI of Feature

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I have the following figures:

(x) Quote for new software feature: $10,000

(y) Employee Rate: $15.00/hour

(z) Hours per Day to perform task manually: 2

(n) Number of working days in a year: 251

(a) Hours per day to perform task after feature is developed: .5

I am trying to calculate the ROI in years. I calculate the financial value:

fv = (y * z * n) - (y * a * n)

fv = 7530 - 1882.5

I then calculate the ROI by doing:

roi = ((fv - x) / x) * 100

roi = ((5647.5 - 10,000) / 10,000) * 100

roi = -43.525

Two questions:

  1. Are my formulas correct?

  2. How do I figure out break even in years?

EDIT: I want to figure out how long it will take to recoup the investment ($10,000) from the perspective of labor saved. Does that help?