Packaging Corporation of America (NYSE:PKG) Shares Could Be 24% Below Their Intrinsic Value Estimate

Key Insights

• Packaging Corporation of America's estimated fair value is US$216 based on 2 Stage Free Cash Flow to Equity
• Packaging Corporation of America is estimated to be 24% undervalued based on current share price of US$164
• The US$163 analyst price target for PKG is 24% less than our estimate of fair value

How far off is Packaging Corporation of America (NYSE:PKG) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by taking the expected future cash flows and discounting them to their present 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.

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.

See our latest analysis for Packaging Corporation of America

The Calculation

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, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$6.9b

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 (2.2%) 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 6.3%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$907m× (1 + 2.2%) ÷ (6.3%– 2.2%) = US$23b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$23b÷ ( 1 + 6.3%)¹⁰= US$12b

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$19b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$164, the company appears a touch undervalued at a 24% 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

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 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 6.3%, which is based on a levered beta of 0.815. 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 Packaging Corporation of America

Moving On:

Although the valuation of a company is important, it is only one of many factors that you need to assess for a company. The DCF model is not a perfect stock valuation tool. 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. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Can we work out why the company is trading at a discount to intrinsic value? For Packaging Corporation of America, we've compiled three additional factors you should explore:

1. Risks: Consider for instance, the ever-present spectre of investment risk. We've identified 2 warning signs with Packaging Corporation of America , and understanding these should be part of your investment process.
2. Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for PKG's future outlook? Check out our management and board analysis with insights on CEO compensation and governance factors.
3. Other High Quality Alternatives: Do you like a good all-rounder? 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 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.