MIRR Calculator - Modified Internal Rate of Return
### Corporate Finance & Capital Allocation Analysis The **Modified Internal Rate of Return (MIRR)** is an enhanced capital budgeting metric designed to provide a more realistic assessment of.
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📐 Formula
💡 Practical Example
Evaluating a $100,000.00 project generating $30,000.00/yr for 5 years at an 8.0% cost of capital and 10.0% reinvestment rate: Yields a realistic MIRR of 12.87% (Terminal Value $183,153.00), compared to a traditional IRR of 15.24%.
📖 About MIRR Calculator - Modified Internal Rate of Return
Corporate Finance & Capital Allocation Analysis
The Modified Internal Rate of Return (MIRR) is an enhanced capital budgeting metric designed to provide a more realistic assessment of investment return rates.
The Fundamental MIRR Equation
MIRR = [ Σ_t=1^n C_t^n-tΣ_t=0^n C_t^-^t ]^(1) / (n) - 1
Where:
- C_t = Positive cash inflows compounded at reinvestment rate r_reinvest
- C_t^- = Negative cash outflows discounted at financing rate r_finance
- n = Total project lifespan in years
Traditional IRR vs MIRR Key Differences
- Reinvestment Rate Assumption: Traditional IRR unrealistically assumes cash inflows are reinvested at the IRR itself. MIRR assumes reinvestment at the cost of capital.
- Multiple IRR Problem: Projects with alternating positive and negative cash flows yield multiple mathematical IRRs. MIRR guarantees a unique solution.
- Mutually Exclusive Projects: MIRR ranks competing projects of different scales more accurately than traditional IRR.
How to Use This Calculator
Enter your Initial Outflow (CF0) (e.g. 100000 in ), Annual Inflow (CF1..CFn) (e.g. 30000 in /yr), Project Duration (e.g. 5 in years), Financing Rate (Cost of Capital) (e.g. 8.0 in %), and Reinvestment Rate (e.g. 10.0 in %). Results update instantly as you type — adjust any value to compare scenarios.
The Formula
PV of Outflows (CF0 is already at t=0)
MIRR = (TV / PV_outflows)^(1/n) - 1
Worked Example
Evaluating a 100,000.00 project generating 30,000.00/yr for 5 years at an 8.0% cost of capital and 10.0% reinvestment rate: Yields a realistic MIRR of 12.87% (Terminal Value 183,153.00), compared to a traditional IRR of 15.24%.
Understanding Your Result
For financial decisions, validate your result against your specific tax situation, current interest rate environment, and applicable regulations — these change frequently and vary by jurisdiction. A calculated estimate is a useful starting point; for decisions involving significant capital (more than one month's income), consult a certified financial planner (CFP) or CPA. Financial projections beyond 3–5 years carry increasing uncertainty — model a conservative, base, and optimistic scenario to understand the range of outcomes.
💡 Mathematical Rigor & Applied Context
- This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
- Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
- Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
- Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
- Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
- For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
- Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
- When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.