Find Mirr On Financial Calculator

Easily calculate the Modified Internal Rate of Return (MIRR) for your investments, considering different financing and reinvestment rates.

Calculate MIRR

Cash Flow Details Table

Period	Cash Flow	FV Contribution (Positive CF)	PV Contribution (Negative CF)
Enter values and calculate to see details.

Table showing cash flow breakdown and contributions to FV and PV.

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

The Modified Internal Rate of Return (MIRR) is a financial metric used to assess the profitability of an investment or project. Unlike the traditional Internal Rate of Return (IRR), the MIRR Calculator provides a more realistic measure by explicitly assuming that positive cash flows are reinvested at a different rate (the reinvestment rate, often the firm’s cost of capital or a market rate) and that initial outlays are financed at the firm’s financing cost (the finance rate). This addresses one of the main criticisms of the IRR, which assumes reinvestment at the IRR itself, often an unrealistic scenario.

The MIRR Calculator is particularly useful for capital budgeting decisions, helping analysts and managers compare different projects with varying cash flow patterns and durations. By providing a single rate of return that considers the cost of funds and the return on reinvested cash, the MIRR offers a more accurate picture of a project’s expected profitability.

Who Should Use the MIRR Calculator?

• Financial analysts evaluating capital projects.
• Project managers assessing the viability of new initiatives.
• Investors comparing different investment opportunities.
• Students and professionals learning about corporate finance and capital budgeting.

Common Misconceptions about MIRR

One common misconception is that MIRR is always superior to IRR. While MIRR addresses the reinvestment rate assumption, it still relies on accurate forecasts of future cash flows, the finance rate, and the reinvestment rate. Another point is that MIRR, like IRR, might not be the sole determinant for project selection, especially when projects are mutually exclusive and have different scales; Net Present Value (NPV) is often preferred in such cases. The MIRR Calculator helps in understanding these nuances.

MIRR Calculator Formula and Mathematical Explanation

The MIRR is calculated using the following formula:

MIRR = (Future Value of Positive Cash Flows / Present Value of Negative Cash Flows)^(1/n) – 1

Where:

• Future Value (FV) of Positive Cash Flows: All positive cash flows (inflows) are compounded forward to the end of the project’s life (period n) at the specified reinvestment rate.
  
  FV = Σ [ CF_t⁺ * (1 + Reinvestment Rate)^(n-t) ] for t = 0 to n (where CF_t⁺ are positive cash flows)
• Present Value (PV) of Negative Cash Flows: All negative cash flows (outflows), including the initial investment, are discounted back to the present (period 0) at the specified finance rate.
  
  PV = Σ [ |CF_t^–| / (1 + Finance Rate)^t ] for t = 0 to n (where |CF_t^–| are the absolute values of negative cash flows)
• n: The total number of periods over which the investment is analyzed (typically the index of the last cash flow period, starting from 0 for the initial investment).

Our MIRR Calculator implements this by first separating positive and negative cash flows after the initial investment, then calculating their respective FV and PV, and finally computing the MIRR.

Variables Table

Variable	Meaning	Unit	Typical Range
CF0	Initial Investment (outflow at t=0)	Currency ($)	Negative value (input as positive)
CFt	Cash flow at period t (t=1 to n)	Currency ($)	Positive or Negative
Finance Rate	Cost of borrowing funds	% per period	0% – 20%
Reinvestment Rate	Rate of return on reinvested cash flows	% per period	0% – 20%
n	Number of periods after initial investment	Number	1 – 50+
MIRR	Modified Internal Rate of Return	% per period	-100% to +∞%

Practical Examples (Real-World Use Cases)

Example 1: Evaluating a New Machine Purchase

A company is considering buying a new machine for $50,000 (initial investment). It’s expected to generate net cash inflows of $15,000, $20,000, $18,000, and $10,000 over the next four years. The company’s finance rate is 6%, and it can reinvest positive cash flows at 8%.

• Initial Investment: 50000
• Cash Flows: 15000, 20000, 18000, 10000
• Finance Rate: 6%
• Reinvestment Rate: 8%

Using the MIRR Calculator with these inputs would give the MIRR for this project, helping the company decide if the machine’s return justifies the cost and risk, considering the specified rates.

Example 2: Comparing Two Projects

An investor has two mutually exclusive projects, A and B.

Project A: Initial cost $20,000, inflows $8,000/year for 3 years. Finance 5%, Reinvest 7%.

Project B: Initial cost $30,000, inflows $5,000, $12,000, $15,000, $10,000 over 4 years. Finance 5%, Reinvest 7%.

By calculating the MIRR for both projects using the MIRR Calculator, the investor can compare their profitability more realistically than using IRR alone, especially if 7% is a more reasonable reinvestment rate than the projects’ respective IRRs.

How to Use This MIRR Calculator

1. Enter Initial Investment: Input the initial cost of the project at period 0 as a positive number in the “Initial Investment” field.
2. Enter Subsequent Cash Flows: In the “Subsequent Cash Flows” textarea, enter the cash flows for periods 1, 2, 3, and so on, separated by commas. Positive values are inflows, negative values are outflows.
3. Enter Finance Rate: Input the rate (%) at which the company borrows funds or the cost of capital used for negative cash flows.
4. Enter Reinvestment Rate: Input the rate (%) at which positive cash flows are expected to be reinvested.
5. Calculate: Click the “Calculate MIRR” button. The MIRR Calculator will instantly display the MIRR, FV of positive flows, PV of negative flows, and the number of periods.
6. Review Results: The primary result is the MIRR percentage. Intermediate values and the cash flow table and chart provide more detail.
7. Reset/Copy: Use “Reset” to clear and set default values, or “Copy Results” to copy the main outputs.

The MIRR percentage indicates the project’s compounded rate of return when cash flows are reinvested at the reinvestment rate and financed at the finance rate. A higher MIRR generally indicates a more attractive investment, assuming it exceeds the company’s hurdle rate.

Key Factors That Affect MIRR Results

• Initial Investment: A larger initial outflow will generally lower the MIRR, as it increases the denominator (PV of negative cash flows).
• Magnitude and Timing of Cash Flows: Larger and earlier positive cash flows increase the FV of positive flows, boosting MIRR. Conversely, larger or later negative flows increase the PV of negative flows, reducing MIRR.
• Finance Rate: A higher finance rate increases the present value of negative cash flows (if there are negative flows after t=0), which can lower the MIRR.
• Reinvestment Rate: A higher reinvestment rate increases the future value of positive cash flows, leading to a higher MIRR. This is a key difference from IRR.
• Project Duration (Number of Periods): The length of the project affects the compounding of reinvested cash flows and the discounting of outflows.
• Accuracy of Cash Flow Forecasts: The MIRR is only as reliable as the cash flow estimates, finance rate, and reinvestment rate used. Inaccurate inputs lead to a misleading MIRR.

Frequently Asked Questions (FAQ) about the MIRR Calculator

What is the difference between IRR and MIRR?

The main difference is the reinvestment rate assumption. IRR assumes cash flows are reinvested at the IRR itself, while MIRR allows you to specify a more realistic reinvestment rate (and a finance rate for outflows). Our MIRR Calculator uses these distinct rates.

Why is MIRR often considered more reliable than IRR?

Because the assumption of reinvesting positive cash flows at a rate different from the IRR (like the cost of capital or a market rate) is generally more realistic than assuming reinvestment at the project’s own high IRR.

Can MIRR be negative?

Yes, if the future value of positive cash flows is less than the present value of negative cash flows, the MIRR will be negative, indicating the project is expected to lose value at the given rates.

What if there are multiple sign changes in cash flows after the initial investment?

The MIRR method handles multiple sign changes more reliably than IRR, which can yield multiple rates or no real rate in such cases. The MIRR Calculator correctly separates positive and negative flows regardless of sign changes.

What should I use for the reinvestment rate?

A common practice is to use the company’s cost of capital, the weighted average cost of capital (WACC), or an expected rate of return on similar-risk investments.

What should I use for the finance rate?

The finance rate is typically the cost of borrowing funds or the company’s cost of capital if equity is used to finance the negative cash flows.

Does the MIRR Calculator account for inflation?

The MIRR Calculator itself does not explicitly adjust for inflation. You should use nominal cash flows with nominal rates, or real cash flows with real rates, for consistency.

When should I use NPV instead of MIRR?

When comparing mutually exclusive projects of different sizes, NPV is generally preferred because it shows the absolute value added, whereas MIRR is a rate of return and might favor smaller projects with high rates but lower absolute returns. Our {related_keywords[0]} can help with this.