Are Investors Undervaluing CRA International, Inc. (NASDAQ:CRAI) By 29%?

Key Insights

• CRA International's estimated fair value is US$268 based on 2 Stage Free Cash Flow to Equity
• CRA International's US$192 share price signals that it might be 29% undervalued
• Analyst price target for CRAI is US$211 which is 21% below our fair value estimate

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of CRA International, Inc. (NASDAQ:CRAI) as an investment opportunity by taking the expected future cash flows and discounting them to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Don't get put off by the jargon, the math behind it is actually quite straightforward.

We would caution that there are many ways of valuing a company and, like the DCF, each technique has advantages and disadvantages in certain scenarios. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

View our latest analysis for CRA International

Is CRA International Fairly Valued?

We are going to use a two-stage DCF model, which, as the name states, takes into account two stages of growth. The first stage is generally a higher growth period which levels off heading towards the terminal value, captured in the second 'steady growth' period. In the first stage we need to estimate the cash flows to the business over the next ten years. Where possible we use analyst estimates, but when these aren't available we extrapolate the previous free cash flow (FCF) from the last estimate or reported value. We assume companies with shrinking free cash flow will slow their rate of shrinkage, and that companies with growing free cash flow will see their growth rate slow, over this period. We do this to reflect that growth tends to slow more in the early years than it does in later years.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) forecast

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$549m

After calculating the present value of future cash flows in the initial 10-year period, we need to calculate the Terminal Value, which accounts for all future cash flows beyond the first stage. For a number of reasons a very conservative growth rate is used that cannot exceed that of a country's GDP growth. In this case we have used the 5-year average of the 10-year government bond yield (2.6%) to estimate future growth. In the same way as with the 10-year 'growth' period, we discount future cash flows to today's value, using a cost of equity of 6.5%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = US$89m× (1 + 2.6%) ÷ (6.5%– 2.6%) = US$2.4b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$2.4b÷ ( 1 + 6.5%)¹⁰= US$1.3b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is US$1.8b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$192, the company appears a touch undervalued at a 29% discount to where the stock price trades currently. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

The Assumptions

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual cash flows. You don't have to agree with these inputs, I recommend redoing the calculations yourself and playing with them. The DCF also does not consider the possible cyclicality of an industry, or a company's future capital requirements, so it does not give a full picture of a company's potential performance. Given that we are looking at CRA International as potential shareholders, the cost of equity is used as the discount rate, rather than the cost of capital (or weighted average cost of capital, WACC) which accounts for debt. In this calculation we've used 6.5%, which is based on a levered beta of 0.937. Beta is a measure of a stock's volatility, compared to the market as a whole. We get our beta from the industry average beta of globally comparable companies, with an imposed limit between 0.8 and 2.0, which is a reasonable range for a stable business.

SWOT Analysis for CRA International

Looking Ahead:

Valuation is only one side of the coin in terms of building your investment thesis, and it shouldn't be the only metric you look at when researching a company. DCF models are not the be-all and end-all of investment valuation. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. If a company grows at a different rate, or if its cost of equity or risk free rate changes sharply, the output can look very different. Can we work out why the company is trading at a discount to intrinsic value? For CRA International, there are three further elements you should consider:

1. Financial Health: Does CRAI have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
2. Future Earnings: How does CRAI's growth rate compare to its peers and the wider market? Dig deeper into the analyst consensus number for the upcoming years by interacting with our free analyst growth expectation chart.
3. Other Solid Businesses: Low debt, high returns on equity and good past performance are fundamental to a strong business. Why not explore our interactive list of stocks with solid business fundamentals to see if there are other companies you may not have considered!

PS. Simply Wall St updates its DCF calculation for every American stock every day, so if you want to find the intrinsic value of any other stock just search here.

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This article by Simply Wall St is general in nature. We provide commentary based on historical data and analyst forecasts only using an unbiased methodology and our articles are not intended to be financial advice. It does not constitute a recommendation to buy or sell any stock, and does not take account of your objectives, or your financial situation. We aim to bring you long-term focused analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material. Simply Wall St has no position in any stocks mentioned.