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Today we will run through one way of estimating the intrinsic value of U.S. Physical Therapy, Inc. (NYSE:USPH) by taking the expected future cash flows and discounting them to today's value. Our analysis will employ 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 still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.
Crunching the numbers
We use what is known as a 2-stage model, which simply means we have two different periods of growth rates for the company's cash flows. Generally the first stage is higher growth, and the second stage is a lower growth phase. 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 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 ($, Millions)
Growth Rate Estimate Source
Est @ -2.73%
Est @ -1.31%
Est @ -0.32%
Est @ 0.37%
Est @ 0.86%
Est @ 1.2%
Est @ 1.44%
Est @ 1.6%
Present Value ($, Millions) Discounted @ 6.0%
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$423m
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 5-year average of the 10-year government bond yield (2.0%) 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 6.0%.
Terminal Value (TV)= FCF2031 × (1 + g) ÷ (r – g) = US$59m× (1 + 2.0%) ÷ (6.0%– 2.0%) = US$1.5b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$1.5b÷ ( 1 + 6.0%)10= US$840m
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$1.3b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of US$113, the company appears around fair value at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.
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. If you don't agree with these result, have a go at the calculation yourself and play with the 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 U.S. Physical Therapy 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 6.0%, which is based on a levered beta of 0.847. 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.
Although the valuation of a company is important, it ideally won't be the sole piece of analysis you scrutinize for a company. DCF models are not the be-all and end-all of investment valuation. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For U.S. Physical Therapy, we've put together three important elements you should further examine:
Risks: For instance, we've identified 2 warning signs for U.S. Physical Therapy that you should be aware of.
Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for USPH's future outlook? Check out our management and board analysis with insights on CEO compensation and governance factors.
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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the NYSE every day. If you want to find the calculation for other stocks just search here.
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.
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