MIRR Calculator

Calculate Modified Internal Rate of Return (MIRR) with separate finance and reinvestment rates.

Note

Important Financial Disclaimer

This calculator provides estimates based on standard financial formulas from verified references. Results are for informational and educational purposes only and should not be considered as professional financial, investment, or tax advice.

For important financial decisions such as loans, investments, mortgages, retirement planning, or tax matters, please consult with qualified financial advisors, certified financial planners, or licensed tax professionals who can review your specific situation.

Calculations may not account for all variables specific to your circumstances, local regulations, or current market conditions. Always verify results and consult professionals before making financial commitments.

Not a substitute for professional financial advice

Investment Details

$100,000
$10,000$10,000,000
8%
1%25%
12%
1%25%
Year 1
Year 2
Year 3
Year 4
Year 5

Modified Internal Rate of Return (MIRR)

16.56%

Traditional IRR: 19.71%

Traditional IRR
19.71%
IRR vs MIRR Difference
-3.15%
Terminal Value
$215,190

FV of positive cash flows

PV of Costs
$100,000

PV of negative cash flows

MIRR vs IRR Comparison

Traditional IRR19.71%
MIRR16.56%

MIRR typically gives a more realistic return estimate as it uses actual finance and reinvestment rates

MIRR Formula

MIRR = (FV of positive cash flows / PV of negative cash flows)^(1/n) - 1

Why MIRR?

MIRR addresses IRR limitations by using realistic rates for reinvestment and financing, avoiding multiple IRR problems.

Rate Assumptions

Finance rate: cost of borrowing. Reinvestment rate: expected return on reinvested cash flows (often WACC).

What Is the Modified Internal Rate of Return (MIRR)?

The Modified Internal Rate of Return (MIRR) is a capital budgeting metric that addresses well-documented shortcomings of the traditional Internal Rate of Return (IRR). While IRR implicitly assumes that every positive cash flow generated by a project is reinvested at the same rate as the IRR itself — an assumption that is rarely realistic in practice — MIRR uses two explicitly stated, separate rates: a finance rate (the cost of capital used to fund the project) and a reinvestment rate (the expected return on reinvested cash flows).

Because these two rates reflect actual market conditions rather than a mathematical artifact, the MIRR calculator produces a more conservative and credible estimate of a project's true profitability. Analysts, CFOs, and investment managers widely prefer MIRR when evaluating capital projects, acquisitions, real estate developments, and any multi-year investment with irregular cash flows.

A higher MIRR indicates a more attractive investment relative to the cost of capital. As a general decision rule, a project is worth pursuing when its MIRR exceeds the hurdle rate (the minimum required rate of return). When comparing mutually exclusive projects of the same duration, the project with the higher MIRR is typically preferred. Because MIRR always produces a single, unique answer — unlike IRR, which can yield multiple solutions for unconventional cash flow streams — it is considered a more robust tool for ranking competing investments.

This MIRR calculator lets you enter an initial investment, up to any number of annual cash flows (positive or negative), a finance rate, and a reinvestment rate. It instantly displays your MIRR alongside the traditional IRR so you can see exactly how the two metrics differ for your specific project.

MIRR Formula and How It Works

The MIRR formula combines two present/future value calculations into a single compounded growth rate over the life of the project. Understanding each component helps you select appropriate rate assumptions and interpret the result correctly.

The calculator separates cash flows into two groups. All negative cash flows (outflows, including the initial investment) are discounted back to time zero using the finance rate to produce a single present value of costs (PV of negatives). All positive cash flows (inflows) are compounded forward to the end of the project using the reinvestment rate to produce a single terminal value (FV of positives). MIRR is then the nth-root of the ratio of these two numbers, minus one.

In the calculator implementation, the initial investment is always treated as a negative outflow added directly to the PV of negatives. Each periodic cash flow is examined: positive flows are compounded to the terminal period using CF x (1 + r_reinvest)^(n - i - 1), while negative flows are discounted to period zero using |CF| / (1 + r_finance)^(i + 1). The final MIRR is computed as (FV_positives / PV_negatives)^(1/n) - 1.

MIRR Formula

MIRR = (FV of positive cash flows / PV of negative cash flows)^(1/n) - 1

Where:

  • FV of positives= Future value of all positive cash flows compounded to period n at the reinvestment rate: sum of CF_i x (1 + r_reinvest)^(n - i - 1) for all CF_i >= 0
  • PV of negatives= Present value of all negative cash flows (including initial investment) discounted to period 0 at the finance rate: initial investment + sum of |CF_i| / (1 + r_finance)^(i + 1) for all CF_i < 0
  • n= Number of periods (years) in the cash flow series
  • r_reinvest= Reinvestment rate — the expected annual return on positive cash flows when reinvested (often approximated by WACC or a safe market rate)
  • r_finance= Finance rate — the cost of capital or borrowing rate used to fund the project's negative cash flows

MIRR vs IRR: Key Differences and Why MIRR Wins

Traditional IRR has two fundamental flaws that MIRR corrects. First, IRR assumes that every interim cash flow is reinvested at the IRR itself. If a project produces a 30% IRR but the firm's typical reinvestment opportunities only return 10%, the actual realized return will be far lower than 30%. MIRR forces the analyst to declare an explicit reinvestment rate, producing a more grounded figure.

Second, IRR can produce multiple solutions — or no real solution at all — when a project has non-conventional cash flows (cash flows that change sign more than once, such as a mining project with large reclamation costs at the end). MIRR always produces exactly one answer because the mathematical structure of the formula involves a single positive ratio raised to a fractional exponent.

The MIRR calculator on this page also computes the traditional IRR using Newton-Raphson iteration so you can compare both metrics side by side. The IRR vs MIRR difference result card tells you instantly how optimistic or pessimistic the IRR is relative to the more realistic MIRR. In most cases, when the reinvestment rate is lower than the IRR, MIRR will be lower than IRR — reflecting the drag of reinvesting at a more modest rate.

For capital budgeting decisions — especially when ranking multiple competing projects — finance professionals, corporate treasurers, and investment analysts consistently recommend supplementing IRR analysis with MIRR to avoid overstating a project's attractiveness.

CharacteristicIRRMIRR
Reinvestment assumptionImplicit (equals IRR)Explicit (user-defined)
Unique solution guaranteedNoYes
Handles non-conventional cash flowsPoorlyCleanly
Typical vs realistic returnOften overstatedMore realistic

How to Choose Finance Rate and Reinvestment Rate

Selecting appropriate rate inputs is the most judgment-intensive part of any MIRR calculation. The rates you choose directly determine how conservative or aggressive your return estimate is.

Finance Rate (Cost of Capital): This is the rate at which the firm borrows money or the opportunity cost of the capital deployed in the project. A natural choice is the company's Weighted Average Cost of Capital (WACC), which blends the after-tax cost of debt and the cost of equity weighted by capital structure. For leveraged buyouts or project finance deals, analysts sometimes use the project-specific cost of debt. If you are an individual investor evaluating a real estate deal, your mortgage rate or margin loan rate may be the appropriate finance rate.

Reinvestment Rate: This is the rate you expect to earn on cash flows once you receive them. Common benchmarks include the firm's WACC, a long-term treasury bond yield (a conservative assumption), a money market rate, or the expected return of a diversified equity portfolio. Using a lower reinvestment rate is more conservative and produces a lower MIRR; using a higher rate is more optimistic. Many practitioners set the reinvestment rate equal to the finance rate for simplicity, though this need not be the case.

Both rates should reflect realistic, achievable figures based on your specific circumstances — not inflated assumptions designed to make a marginal project look attractive. MIRR's value is precisely that it forces you to be explicit and realistic about these assumptions rather than letting the math assume them for you.

When to Use the MIRR Calculator in Practice

MIRR is especially useful in several common investment analysis scenarios. In corporate capital budgeting, finance teams use MIRR alongside NPV to evaluate equipment purchases, plant expansions, R&D projects, and acquisitions. MIRR provides a percentage return easy to communicate to stakeholders, while NPV provides the absolute dollar value created.

In real estate investment analysis, MIRR is frequently used to evaluate development projects, commercial property acquisitions, and REIT investment decisions. Real estate cash flows often have large upfront construction costs followed by operating inflows and potentially large costs at disposition — exactly the non-conventional cash flow pattern where traditional IRR is least reliable.

Private equity and venture capital analysts sometimes use MIRR to adjust for the fact that early-stage distributions must be reinvested in new deals at a rate that may differ substantially from the fund's IRR. MIRR provides a reality check on the fund's advertised return figure.

In project finance for infrastructure, energy, and mining, MIRR is used to handle terminal reclamation or decommissioning costs that create sign changes in the cash flow stream. MIRR cleanly handles these scenarios without producing spurious multiple IRR solutions.

The MIRR calculator is also useful for individual investors evaluating rental properties, small business investments, or any multi-year investment where they want to be realistic about how they will deploy interim cash flows rather than assuming reinvestment at an unrealistically high rate.

Worked Examples

Basic 5-Year Project

Problem:

A company invests $100,000 today in a project that generates cash flows of $25,000, $30,000, $35,000, $40,000, and $45,000 over five years. The finance rate is 8% and the reinvestment rate is 12%. What is the MIRR?

Solution Steps:

  1. 1Compute the future value of each positive cash flow compounded to Year 5 at 12%: Year 1: $25,000 x 1.12^4 = $25,000 x 1.5735 = $39,338. Year 2: $30,000 x 1.12^3 = $42,148. Year 3: $35,000 x 1.12^2 = $43,904. Year 4: $40,000 x 1.12^1 = $44,800. Year 5: $45,000 x 1.12^0 = $45,000. Total FV of positives = $215,190.
  2. 2Compute the PV of negative cash flows at the finance rate of 8%. The only negative cash flow is the initial $100,000 investment at time zero, so PV of negatives = $100,000.
  3. 3Apply the MIRR formula: MIRR = ($215,190 / $100,000)^(1/5) - 1 = (2.1519)^(0.2) - 1 = approximately 0.1655 = 16.55%.

Result:

MIRR is approximately 16.55%. The project offers a modified return of roughly 16.55% per year, accounting for a 12% reinvestment rate and 8% financing cost.

Project With a Negative Mid-Period Cash Flow

Problem:

An investor puts $200,000 into a project. Cash flows are: Year 1: $60,000; Year 2: -$30,000 (remediation cost); Year 3: $80,000; Year 4: $90,000. Finance rate is 10%, reinvestment rate is 8%.

Solution Steps:

  1. 1FV of positive cash flows to Year 4 at 8%: Year 1: $60,000 x 1.08^3 = $75,582. Year 3: $80,000 x 1.08^1 = $86,400. Year 4: $90,000 x 1.08^0 = $90,000. Total FV positives = $251,982.
  2. 2PV of negative cash flows at 10%: Initial investment = $200,000. Year 2 negative flow: $30,000 / 1.10^2 = $30,000 / 1.21 = $24,793. Total PV negatives = $224,793.
  3. 3MIRR = ($251,982 / $224,793)^(1/4) - 1 = (1.1209)^(0.25) - 1 = approximately 0.0288 = 2.88%.

Result:

MIRR is approximately 2.88%. The mid-period remediation cost significantly reduces the return. This is a scenario where traditional IRR may mislead, and MIRR gives the clearest picture of actual profitability.

Conservative Reinvestment Assumption

Problem:

A firm evaluates a $500,000 investment with annual cash inflows of $150,000 for 4 years. Finance rate is 9%, but management uses a conservative 6% reinvestment rate (close to current safe bond yields).

Solution Steps:

  1. 1FV of $150,000 per year to Year 4 at 6%: Year 1: $150,000 x 1.06^3 = $178,651. Year 2: $150,000 x 1.06^2 = $168,540. Year 3: $150,000 x 1.06^1 = $159,000. Year 4: $150,000 x 1.06^0 = $150,000. Total FV positives = $656,191.
  2. 2PV of negatives = $500,000 (initial investment only, no mid-period negative flows).
  3. 3MIRR = ($656,191 / $500,000)^(1/4) - 1 = (1.3124)^(0.25) - 1 = approximately 0.0703 = 7.03%.

Result:

MIRR is approximately 7.03%. The conservative reinvestment rate pulls the MIRR below what a traditional IRR would indicate. Management can compare this 7.03% against their 9% cost of capital and confirm the project does not clear the hurdle rate.

Tips & Best Practices

  • Set the reinvestment rate equal to your WACC for a standard, defensible baseline assumption that most finance teams will accept.
  • Use a lower, more conservative reinvestment rate (such as a current government bond yield) when you want a worst-case return estimate.
  • If MIRR exceeds your cost of capital (hurdle rate), the project is adding value; if it falls below, reconsider the investment.
  • Add mid-period negative cash flows (such as maintenance or remediation costs) as negative numbers in the cash flow table — the calculator discounts them at the finance rate.
  • Compare MIRR with the traditional IRR shown on the results panel: a large gap means the reinvestment assumption makes a big difference to your decision.
  • For real estate analysis, try setting the finance rate to your mortgage rate and the reinvestment rate to a realistic rental income reinvestment yield.
  • When evaluating mutually exclusive projects of the same length, choose the one with the higher MIRR, all else equal.
  • MIRR complements NPV analysis: use NPV to measure absolute value created and MIRR to measure return efficiency per dollar invested.

Frequently Asked Questions

A good MIRR is one that exceeds the project's hurdle rate — the minimum required rate of return, often set equal to the company's WACC or a target return threshold. If your MIRR is 14% and your hurdle rate is 10%, the project is expected to create value. There is no universally good MIRR number; it depends entirely on the industry, risk profile, and cost of capital of the specific investment.
MIRR is typically lower than IRR because it uses a realistic reinvestment rate for positive cash flows, which is usually lower than the IRR itself. IRR implicitly assumes that every cash flow received can be reinvested at the same high rate as the IRR, which is an optimistic assumption. MIRR uses a separately specified reinvestment rate that reflects actual reinvestment opportunities, producing a more modest and defensible figure. When the reinvestment rate equals the IRR, MIRR and IRR are mathematically identical.
Yes, MIRR can be negative, which indicates that the investment is expected to lose value even after accounting for all cash flows. A negative MIRR arises when the terminal value of positive cash flows is less than the present value of negative cash flows. This would be a clear signal to reject the project unless there are strategic non-financial reasons to proceed.
The finance rate is the cost of capital used to fund the project — typically the firm's cost of debt, WACC, or the interest rate on borrowed funds. It is used to discount any negative (outflow) cash flows back to the present. The reinvestment rate is the return you expect to earn when you reinvest the project's positive (inflow) cash flows — often WACC, a market index return, or a safe yield. Choosing realistic values for both rates is the most important judgment call in an MIRR analysis.
MIRR can be used to compare projects, but duration differences require caution. When projects have different lifespans, analysts often use an equivalent annual annuity (EAA) approach or extend the shorter project to match the longer duration. Simply comparing raw MIRR percentages across projects of very different lengths may be misleading because the compounding periods differ. For same-duration projects, MIRR comparison is straightforward and generally reliable.
Yes, MIRR always produces a single unique answer. This is one of its major advantages over traditional IRR. Because MIRR collapses all cash flows into a single positive ratio (terminal value divided by present value of costs) before taking the nth root, the result is always mathematically unique. IRR, by contrast, can have multiple solutions when cash flows change sign more than once, creating ambiguity in interpretation.

Sources & References

Last updated: 2026-06-05

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Sources

  • Reserve Bank of India (RBI) — Financial regulations, lending rates, and monetary policy guidelines. rbi.org.in
  • Consumer Financial Protection Bureau (CFPB) — Consumer finance guidelines, mortgage and loan disclosure standards. consumerfinance.gov
  • Securities and Exchange Board of India (SEBI) — Investment and securities market regulations. sebi.gov.in
  • Investopedia — Financial formulas, definitions, and educational content. investopedia.com

For a complete list of all references used across the site, visit our full sources page.

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: Fundamentals of Financial Management

by Brigham & Houston

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.