MOIC to IRR: Conversion Formula and Five-Year Lookup Table
MOIC measures total investment proceeds divided by invested capital. IRR is the discount rate that sets the present value of investor cash flows to zero. A direct conversion works only for one initial outflow and one terminal inflow.
By diophos · Worked examples are illustrative
The single-exit conversion
If an investment has no interim cash flows, the return is the annual compound growth rate of invested capital. Holding period is in years. For actual cash flows on irregular dates, calculate a dated IRR rather than rounding every date to an integer year.
IRR = MOIC^(1 / holding years) − 1 MOIC = (1 + IRR)^holding years
Worked example: 2.5x over five years
An investor contributes $10m and receives $25m five years later, with nothing in between. MOIC is 2.5x and IRR is 2.5^(1/5) − 1 = approximately 20.11%. The same 2.5x over three years produces approximately 35.72%, showing why timing matters.
Five-year lookup table
For one initial outflow and one receipt exactly five years later:
- 1.0x MOIC → 0.00% IRR
- 1.5x MOIC → 8.45% IRR
- 2.0x MOIC → 14.87% IRR
- 2.5x MOIC → 20.11% IRR
- 3.0x MOIC → 24.57% IRR
- 4.0x MOIC → 31.95% IRR
Why dividends change the answer
An initial $10m investment, a $5m dividend at year one and $15m exit proceeds at year five have 2.0x MOIC. Their IRR is approximately 20.69%, higher than the 14.87% from receiving the whole $20m at year five. Discount each receipt at its actual timing; do not apply the single-exit shortcut to total proceeds.
Excel and model interpretation
Use IRR for evenly spaced cash flows and XIRR with actual dates for irregular flows. Include fees, follow-on investments and the investor’s share of proceeds. Cash-flow series with multiple sign changes can have multiple IRRs or no economically useful IRR. MOIC remains a complementary measure, not an annualized return.
diophos returns
diophos models Exit Multiple investor returns using the selected deal terms and timing conventions. Read IRR alongside MOIC, equity participation, interim distributions and debt balances. The lookup table is illustrative and assumes no interim cash flows or costs beyond the initial investment.
Sources and further reading
Related guides
- Exit Multiple and LBO Valuation: Solve Purchase Price from Target IRR
- LBO Value Creation Bridge: Growth, Multiple Change and Deleveraging
- M&A Formula Dictionary: Cash Flow, Valuation, Credit and Returns