Formula and decision logic
Use this as a review-ready bridge from raw cash flows to the approval recommendation.
MIRR = (FV of positive cash flows at reinvestment rate / PV of negative cash flows at finance rate)^(1 / n) - 1
Year 0 investment = $3,000,000
Total invested capital = $3,000,000
Total positive cash flow = $8,400,000
IRR = 37.3%
Hurdle spread = 25.3%
MIRR = 26.5%
NPV at hurdle = $2,690,843
Simple payback = 2.59 years
Discounted payback = 3.09 years
Cash-flow sign changes = 1
IRR roots found = 1
Primary use case = IRR + hurdle-led
| Year | Cash flow | Discounted cash flow | Cumulative | Discounted cumulative |
|---|---|---|---|---|
| Year 0 | -$3,000,000 | -$3,000,000 | -$3,000,000 | -$3,000,000 |
| Year 1 | $800,000 | $714,286 | -$2,200,000 | -$2,285,714 |
| Year 2 | $1,200,000 | $956,633 | -$1,000,000 | -$1,329,082 |
| Year 3 | $1,700,000 | $1,210,026 | $700,000 | -$119,055 |
| Year 4 | $2,100,000 | $1,334,588 | $2,800,000 | $1,215,533 |
| Year 5 | $2,600,000 | $1,475,310 | $5,400,000 | $2,690,843 |