  # Internal Rate of Return (IRR) and Multiple of Money (MoM) Calculation

Internal Rate of Return (IRR) and Multiple of Money (MoM) Formula and Calculation Steps (Excel Template Included) Key Takeaways
• What does the internal rate of return (IRR) and multiple of money (MoM) measure?
• Between the IRR and MoM, which is the more important metric?
• Why should both the IRR and MoM be considered when evaluating a potential investment?
• Why is it necessary to take into account both the IRR and MoM?

## Internal Rate of Return and Multiple of Money Definition

All else being equal, the higher the internal rate of return (IRR) and multiple of money (MoM), the more benefits (profits) a potential investment will likely bring to a firm if undertaken.

The IRR metric estimates the annualized rate of return that an investment is going to yield. Unlike the MoM, the IRR is considered to be “time-weighted” because it accounts for the specific dates that the cash proceeds are received.

###### IRR Calculation Steps

The calculation of the IRR involves the following steps:

1. The future value (FV) is divided by the present value (PV)
2. The amount is raised to the inverse power of the number of periods (i.e., 1 ÷ n)
3. From that figure, one is subtracted Meanwhile, the formula for calculating the MoM is a straightforward ratio that divides the total cash inflows by the total cash outflows from the perspective of the investor. For example, if the total cash inflows are \$100m from a \$10m initial investment, the MoM would be 10.0x. Alternatively, if you are provided with the MoM of an investment, the IRR can be computed using the formula below. ###### Common IRR Approximations
• 2.0x MoM in 3 Years → ~25% IRR
• 2.0x MoM in 5 Years → ~15% IRR
• 2.5x MoM in 3 Years → ~35% IRR
• 2.5x MoM in 5 Years → ~20% IRR
• 3.0x MoM in 3 Years → ~45% IRR
• 3.0x MoM in 5 Years → ~25% IRR

## IRR and MoM Shortcomings

The IRR is imperfect and cannot be used as a standalone measure due to being very sensitive to timing.

For example, if a private equity firm were to issue itself a dividend soon after a leveraged buyout (LBO), this would increase the IRR to the fund regardless of whether the MoM meets the required returns hurdles – which causes the IRR to be potentially misleading as a result.

However, the IRR could potentially be misleading in its portrayal of returns. For instance, a high IRR calculated during a short holding period can be artificially inflated and be unsustainable if the holding period were to be extended longer – and thus, IRR cannot be singularly used to make an investment decision.

Let’s say an investment would yield a 30% IRR if sold on the present date, which from first glance sounds great. But from a more in-depth look, if the same investment achieves only 1.5x MoM, this makes the return far less impressive and the high IRR is attributed more towards a quicker return of capital rather than substantial growth in the size of the investment.

Nonetheless, the IRR tends to be the most benchmarked marketing metric for the performance of investment funds. For this reason, most firms pay a significant amount of attention to their fund’s IRR.

The following factors are the main contributors which drive the IRR:

 Positive IRR Levers Negative IRR Levers Earlier Extraction of Exit Proceeds (e.g., Dividend Recapitalization, Monitoring Fees) Delayed Receipt of Exit Proceeds (e.g., Sale Delay Caused by Lack of Interested Buyers) Increased Free Cash Flows from Strong Revenue and EBITDA Growth Reduced Free Cash Flows and Profit Margins Multiple Expansion (i.e., Exiting at Higher Multiple than Entry) Multiple Contraction (i.e., Lower Exit Multiple than Purchase Multiple)

The MoM metric also cannot be used by itself as it fails to consider the time value of money. For instance, a 2.0x multiple could be sufficient for certain funds if achieved within three years. But that might no longer be the case if receiving those proceeds took ten years instead.

The calculation of MoM is typically less time-consuming because it quantifies “how much” the gross return was, as opposed to “when” since time is not factored into the formula. In contrast, the IRR takes into account both the amount received and the timing of when the proceeds were received, but this causes the metric to be potentially skewed by attaching more weight to proceeds received earlier.

When it comes to shorter time frames, the MoM can be argued as being more important than the IRR – however, for longer time horizons, achieving a higher IRR can be more important.

Regardless, the IRR and MoM are both different pieces to the same puzzle, and each comes with its respective shortcomings.

The takeaway is that the magnitude by which an investment grows matters, but the pace at which the growth was achieved is just as important.

So far, we’ve compared the concept and formulas used to calculate the IRR and MoM return metrics. We’re now going to shift to an example exercise of calculating the two metrics in Excel. To access the spreadsheet and follow along, fill out the form below.   Submitting ...

## Internal Rate of Return vs Multiple of Money Calculation

In our simple example, the equity investment in Year 0 remains fixed at \$85m. Regardless of which year the firm exits the investment, the value of the initial investment stays unchanged.

Since the investment represents an outflow of cash, we’ll place a negative sign in front of the number. Meanwhile, the positive cash inflows related to the exit represent the proceeds distributed to the investor following the sale of the investment (i.e., realization at exit).

Here, the assumption is that each year, the exit proceeds will increase by \$25m, starting from the initial investment amount of \$85m. As a result, the exit proceeds in Year 1 are \$110m while in Year 3, the proceeds come out to \$160m.

Once our table depicting the cash outflow in Year 0 (the initial investment) and the cash inflows (the exit proceeds) at different dates in the holding period is done, we can calculate the IRR and MoM metrics from this particular investment.

To determine the IRR of an investment, follow the steps below.

1. Start by listing out the value of all of the cash inflows/(outflows) and the corresponding dates of the date of receipt
2. Use the XIRR Excel function (“= XIRR (Range of CFs, Range of Timing)”); the first input requires you to drag the selection box across the range of cash inflows/(outflows)
3. For the second input, do the same across all of the corresponding dates.

Note that the initial cash outflow (initial equity contribution) must be entered as a negative number since the investment is an outflow of cash. In addition, for the formula to work and be dragged down, the date selection must be anchored in Excel.

###### XIRR vs IRR Excel

The XIRR Excel function is preferable over the IRR function as it has more flexibility by not being restricted to annual periods. The drawback to the IRR function is that Excel assumes each cell is separated by precisely twelve months, which is not always the case.

Under XIRR, daily compounding is assumed, and the effective annual rate is returned. But for the IRR function, the interest rate is returned assuming a stream of equally spaced cash flows.

While the two main factors are the entry investment and exit sale proceeds, other inflows such as dividends or monitoring fees (i.e., portfolio company consulting) must be input as positives, as well as any additional equity injections later on in the holding period.

The XIRR function can handle complex scenarios that necessitate taking into account the timing of each cash inflow and outflow (i.e., the volatility of multiple cash flows). To calculate the MoM, we first sum up the cash inflows from the relevant year.

Then, we divide this amount by the cash outflow in Year 0. For instance, assuming a Year 5 exit, the exit proceeds of \$210m are divided by -\$85m to get an MoM of 2.5x. Based on the completed output for our exercise, we can see the Year 5 IRR is 19.8% whereas the MoM is 2.5x.

If we were to calculate the IRR using a calculator, the formula would take the future value (\$210m) and divide by the present value (-\$85m) and raise it to the inverse number of periods (1 ÷ 5 Years), and then subtract out one – which again gets us 19.8% for the Year 5 IRR.  Inline Feedbacks
3-Day Private Equity Masterclass
Wednesday-Friday 10/21-23
9am-5pm ET

Learn to build advanced LBO models and deep dive into the nuances of the private equity deal process. Access the same program used to train PE Associates at the world’s largest PE firms.

X

The Wall Street Prep Quicklesson Series

7 Free Financial Modeling Lessons

Get instant access to video lessons taught by experienced investment bankers. Learn financial statement modeling, DCF, M&A, LBO, Comps and Excel shortcuts. 