##  [Modified Internal Rate of Return](/modified-internal-rate-return-0) 

 Definition

A corporate finance concept defining how investment decisions and funding choices are evaluated using cash flows and required returns. It governs capital allocation, financing structure, and evaluation of projects or transactions under explicit assumptions about risk and timing. It does not ensure value creation without realistic forecasts, appropriate discounting, and sensitivity analysis on key drivers. It supports careful allocation of capital by translating expected performance into decision metrics that can be evaluated consistently. The concept is generally stable, though market conditions and modeling practices evolve over time.



 

 

 

 

 

 





## Principle

Principle

Replace the IRR implicit reinvestment assumption with explicit finance and reinvestment rates, compute a present value of outflows and a terminal value of inflows, and derive the unique rate that links them.

 

 

 

 

 





## Demonstration

Demonstration

Invest 1,000, receive -200 in year 1 then 800 and 600 thereafter. Choose a finance rate of 5% and reinvestment rate of 8%. Discount outflows at 5%, compound inflows at 8% to the terminal date, then solve for the rate that equates the two aggregated amounts to compute the MIRR.

 

 

 

 

## Misapplication

Misapplication

Picking arbitrary or inconsistent finance and reinvestment rates to manufacture a favored outcome; treating MIRR as an exact realized return rather than as a modeling construct sensitive to chosen rates.

 

 

 

 

 





## Consequence

Consequence

MIRR yields a single, comparable percentage return that corrects IRR s misleading reinvestment assumption and reduces the risk of multiple IRR solutions for nonconventional cash flows.

 

 

 

 

## Reversal

Reversal

Reverting to standard IRR restores the implicit reinvestment at IRR and reintroduces the potential for multiple solutions and misleading comparisons.

 

 

 

 

 





## Boundary

Boundary

Depends on explicit choice of finance and reinvestment rates, so results vary with those inputs; it does not remove other IRR limitations like ignoring project scale or strategic value.

 

 

 

 

 





## Semantic Tension

Semantic Tension

MIRR sits between IRR and NPV: it provides a single comparable rate like IRR but requires exogenous rates like NPV; tension arises when chosen rates lack market grounding.

 

 

 

 

 





## Synthesis

Synthesis

MIRR produces a unique project return by separating discounting and reinvestment assumptions; use it when IRR s reinvestment premise is unrealistic and when consistent comparison across projects is required.