Does the October share price for CRA International, Inc. (NASDAQ:CRAI) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by taking the expected future cash flows and discounting them to their present value. This is done using the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.
Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. If you want to learn more about discounted cash flow, the rationale behind this calculation can be read in detail in the Simply Wall St analysis model.
Is CRA International fairly valued?
We're using the 2-stage growth model, which simply means we take in account two stages of company's growth. In the initial period the company may have a higher growth rate and the second stage is usually assumed to have a stable growth rate. 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.
A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, so we discount the value of these future cash flows to their estimated value in today's dollars:
10-year free cash flow (FCF) estimate
|Levered FCF ($, Millions)||US$27.8m||US$29.5m||US$31.0m||US$32.3m||US$33.5m||US$34.6m||US$35.7m||US$36.8m||US$37.9m||US$39.0m|
|Growth Rate Estimate Source||Analyst x1||Analyst x1||Est @ 4.8%||Est @ 4.18%||Est @ 3.74%||Est @ 3.44%||Est @ 3.23%||Est @ 3.08%||Est @ 2.97%||Est @ 2.9%|
|Present Value ($, Millions) Discounted @ 9.4%||US$25.4||US$24.7||US$23.6||US$22.5||US$21.3||US$20.2||US$19.0||US$17.9||US$16.9||US$15.8|
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$207m
We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 10-year government bond rate (2.7%) 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 9.4%.
Terminal Value (TV)= FCF2019 × (1 + g) ÷ (r – g) = US$39m× (1 + 2.7%) ÷ 9.4%– 2.7%) = US$598m
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$598m÷ ( 1 + 9.4%)10= US$243m
The total value is the sum of cash flows for the next ten years plus the discounted terminal value, which results in the Total Equity Value, which in this case is US$450m. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of US$42.0, the company appears a touch undervalued at a 27% discount to where the stock price trades currently. The assumptions in any calculation have a big impact on the valuation, so it is better to view this as a rough estimate, not precise down to the last cent.
We would point out that the most important inputs to a discounted cash flow are the discount rate and of course the actual cash flows. Part of investing is coming up with your own evaluation of a company's future performance, so try the calculation yourself and check your own assumptions. 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 9.4%, which is based on a levered beta of 1.125. 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.
Whilst important, DCF calculation shouldn’t be the only metric you look at when researching a company. The DCF model is not a perfect stock valuation tool. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" 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. What is the reason for the share price to differ from the intrinsic value? For CRA International, I've put together three additional factors you should further research:
- 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.
- 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.
- Other High Quality Alternatives: Are there other high quality stocks you could be holding instead of CRAI? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!
PS. Simply Wall St updates its DCF calculation for every US stock every day, so if you want to find the intrinsic value of any other stock just search here.
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If you spot an error that warrants correction, please contact the editor at firstname.lastname@example.org. This article by Simply Wall St is general in nature. It does not constitute a recommendation to buy or sell any stock, and does not take account of your objectives, or your financial situation. Simply Wall St has no position in the stocks mentioned. Thank you for reading.