# An Intrinsic Calculation For U.S. Physical Therapy, Inc. (NYSE:USPH) Suggests It's 27% Undervalued

By
Simply Wall St
Published
January 06, 2022

In this article we are going to estimate the intrinsic value of U.S. Physical Therapy, Inc. (NYSE:USPH) by estimating the company's future cash flows and discounting them to their present value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

View our latest analysis for U.S. Physical Therapy

### Step by step through the calculation

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. To begin with, we have to get estimates of the next ten years of cash flows. 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

 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 Levered FCF (\$, Millions) US\$63.6m US\$72.1m US\$70.8m US\$70.3m US\$70.3m US\$70.8m US\$71.5m US\$72.5m US\$73.6m US\$74.8m Growth Rate Estimate Source Analyst x4 Analyst x2 Est @ -1.87% Est @ -0.72% Est @ 0.08% Est @ 0.65% Est @ 1.04% Est @ 1.32% Est @ 1.51% Est @ 1.64% Present Value (\$, Millions) Discounted @ 5.8% US\$60.1 US\$64.5 US\$59.8 US\$56.2 US\$53.1 US\$50.6 US\$48.3 US\$46.3 US\$44.4 US\$42.7

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US\$525m

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 5.8%.

Terminal Value (TV)= FCF2031 × (1 + g) ÷ (r – g) = US\$75m× (1 + 2.0%) ÷ (5.8%– 2.0%) = US\$2.0b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US\$2.0b÷ ( 1 + 5.8%)10= US\$1.1b

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\$1.7b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US\$94.7, the company appears a touch undervalued at a 27% 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.

### Important assumptions

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 5.8%, which is based on a levered beta of 0.870. 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 shouldn't be the only metric you look at when researching a company. It's not possible to obtain a foolproof valuation with a DCF model. 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. Why is the intrinsic value higher than the current share price? For U.S. Physical Therapy, we've compiled three relevant items you should further examine:

1. Risks: Case in point, we've spotted 3 warning signs for U.S. Physical Therapy you should be aware of.
2. Future Earnings: How does USPH'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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