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How much ARR growth offsets multiple compression in growth equity?

Entry at a high revenue multiple is a bet on growth outrunning the fall in that multiple: the formula, the growth it demands, and what a strong plan returns once the multiple halves.

ARR has to grow by the ratio of the entry multiple to the exit multiple just to return the money: buying at 15.0x ARR and selling at 8.0x needs 1.88x ARR growth to break even. To make 3x after 10 per cent dilution it needs 6.25x, or 44.3 per cent a year for five years instead of 27.2 with no compression. Multiple compression costs 17.0 points of growth a year.

Worked in full in The Growth Equity Investor by Julian R. Sterling, with every figure reproduced in a free workbook.See the book on Amazon →

Growth companies are bought on revenue multiples that assume the growth continues, and sold on multiples that reflect the growth that is left. The fall between the two is the single largest drag in most growth equity underwriting, and it is easy to measure before the deal rather than discover at exit.

The assumptions

An illustrative software company and a minority growth investment.
InputValue
ARR at entry40.0
Entry EV/ARR multiple15.0x
Entry enterprise value (no net debt)600.0
Stake bought, cheque20%, 120.0
Share of the stake retained at exit after later rounds and options90%
Exit EV/ARR multiple8.0x
Holding period, target multiple5 years, 3.0x

The formula

With no net debt and no interim distributions, the investor's multiple breaks into three factors:

MOIC = (exit ARR ÷ entry ARR) × (exit multiple ÷ entry multiple) × retention

Rearranged for the growth required: ARR growth = target MOIC × entry multiple ÷ (exit multiple × retention). In Excel: =Target*EntryMult/(ExitMult*Retention), and =Growth^(1/Years)-1 for the annual rate.

The calculation, step by step

Step 1: the break-even. At 8.0x the company must be worth the 600.0 paid, so ARR must reach 600.0 ÷ 8.0 = 75.0: 1.875x the entry ARR, or 13.4 per cent a year. Add the 10 per cent dilution and break-even rises to 83.3 of ARR, 2.08x, 15.8 per cent a year.

Step 2: the target. A 3x on a 120.0 cheque is 360.0 of proceeds. With 18 per cent of the company at exit, that requires an exit enterprise value of 2,000.0.

ARR needed in year five for a 3.0x, with and without compression.
Exit multipleExit EV neededExit ARR neededARR growthAnnual growth
15.0x (no compression)2,000.0133.33.33x27.2%
8.0x2,000.0250.06.25x44.3%

The multiple falls to 0.533 of its entry level, so the ARR requirement rises by its inverse, 1.875. Over five years that is the difference between 27.2 and 44.3 per cent growth every single year.

The result: testing a real plan

Now take a strong but decelerating plan: ARR growth of 50, 45, 40, 35 and 30 per cent. ARR goes 60.0, 87.0, 121.8, 164.4 and 213.8, a 5.34x increase and 39.8 per cent a year.

The plan's return at two exit multiples.
Exit multipleExit EVProceeds (18%)MOICIRR
15.0x3,206.4577.14.81x36.9%
8.0x1,710.1307.82.57x20.7%

The check: 5.34 × 0.5333 × 0.90 = 2.57. The company delivers an outstanding plan and the investor still misses its 3x, because the plan is exactly what makes the multiple fall: a company growing 30 per cent at exit will not be valued like one growing 50. On this plan the exit multiple must hold at 9.36x for a 3x.

What if: the exit multiple

ARR growth over five years required for a 3.0x and a 2.0x, 15.0x entry, 90% retention.
Exit multipleExit ARR for 3xGrowth for 3xAnnualGrowth for 2xAnnual
6.0x333.38.33x52.8%5.56x40.9%
8.0x250.06.25x44.3%4.17x33.0%
10.0x200.05.00x38.0%3.33x27.2%
12.0x166.74.17x33.0%2.78x22.7%
15.0x133.33.33x27.2%2.22x17.3%

Each step up the table costs between about five and nine points of required annual growth, and each turn lost costs more growth the lower the exit multiple already is. The illustrative multiples are not market levels; set the exit multiple from where comparable companies growing at your exit-year growth rate trade, not from where your entry comparables trade.

Reverse the logic and you get an entry price. Fix the growth you believe and the exit multiple that growth will command, and the formula tells you the most you can pay, which is the approach of what entry valuation a growth investor can pay and still make 3x.

Where the exit multiple comes from

The exit multiple is the input that decides the answer, and it is also the one most often copied from the entry comparables. A better discipline is to describe the company as it will be in the exit year, with its growth rate, its margin and its retention at that date, and to ask what buyers pay for that profile. A company that has slowed from 50 to 30 per cent growth but now earns a margin will be priced on a combination of the two, which is why the Rule of 40 is often used as a bridge between growth and valuation. Then run the formula twice: once with that multiple and once a turn or two lower. If the deal only works at the higher one, the investment is a bet on the multiple, not on the company.

The common mistake

Takeaway

Required ARR growth is the target multiple times the entry multiple, divided by the exit multiple and the share retained. From 15.0x to 8.0x, break-even needs 1.88x ARR and a 3x needs 6.25x. Underwrite the exit multiple first; the growth plan only tells you whether it is reachable. The book's own figures for ownership and follow-ons are reworked in the free workbook for this book.

Questions readers ask

What is multiple compression in growth equity?

The fall in the valuation multiple, usually EV to ARR or revenue, between entry and exit, because growth slows as the company scales. In the illustrative case the multiple falls from 15.0x to 8.0x, which alone multiplies the investment by 0.533. ARR has to grow 1.88x over the hold before the investor is even back to cost.

What exit multiple does a growth deal need to make 3x?

Exit multiple = target MOIC times entry multiple divided by ARR growth times retention. With a plan that grows ARR 5.34x, a 15.0x entry and 90 per cent of the stake retained, a 3x needs an exit at 9.36x ARR. At 8.0x the same plan returns 2.57x.

Is a high growth rate enough to justify a high entry multiple?

Only if it lasts. The plan in the illustrative case grows ARR from 40.0 to 213.8, 39.8 per cent a year, which most companies never achieve, and still misses a 3x because the multiple halves. The question to underwrite is the growth rate at exit, which sets the exit multiple, not the growth rate at entry.

Read the whole case

This article is one calculation from The Growth Equity Investor. The book takes the same case from first principles to the decision, chapter by chapter, and every figure it prints is a live formula in the free companion workbooks.

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