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Does the February share price for Packaging Corporation of America (NYSE:PKG) 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 today's value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. Believe it or not, it's not too difficult to follow, as you'll see from our example!
Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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.
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.
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 ($, Millions)
Growth Rate Estimate Source
Est @ 2.06%
Est @ 2.05%
Est @ 2.05%
Est @ 2.05%
Est @ 2.04%
Est @ 2.04%
Present Value ($, Millions) Discounted @ 6.5%
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$4.7b
The second stage is also known as Terminal Value, this is the business's cash flow after 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 (2.0%) 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 6.5%.
Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = US$713m× (1 + 2.0%) ÷ (6.5%– 2.0%) = US$16b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$16b÷ ( 1 + 6.5%)10= US$8.6b
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$13b. 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$134, the company appears about fair value at a 5.2% 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.
Now 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 Packaging Corporation of America 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 0.858. 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, the DCF calculation 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. Instead the best use for a DCF model is to test certain assumptions and theories to see if they would lead to the company being undervalued or 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. For Packaging Corporation of America, we've compiled three further elements you should further examine:
Risks: For instance, we've identified 2 warning signs for Packaging Corporation of America that you should be aware of.
Future Earnings: How does PKG'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 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.
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. 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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