Is There An Opportunity With KAR Auction Services, Inc.'s (NYSE:KAR) 22% Undervaluation?

Today we will run through one way of estimating the intrinsic value of KAR Auction Services, Inc. (NYSE:KAR) 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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

View our latest analysis for KAR Auction Services

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. Seeing as no analyst estimates of free cash flow are available to us, we have extrapolate the previous free cash flow (FCF) from the company's last 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, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) forecast

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF ($, Millions)	US$266.8m	US$249.1m	US$238.9m	US$233.5m	US$231.1m	US$230.8m	US$231.9m	US$234.1m	US$236.9m	US$240.3m
Growth Rate Estimate Source	Est @ -10.3%	Est @ -6.63%	Est @ -4.07%	Est @ -2.27%	Est @ -1.01%	Est @ -0.13%	Est @ 0.48%	Est @ 0.91%	Est @ 1.22%	Est @ 1.43%
Present Value ($, Millions) Discounted @ 9.4%	US$244	US$208	US$182	US$163	US$147	US$135	US$124	US$114	US$105	US$97.8

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.5b

The second stage is also known as Terminal Value, this is the business's cash flow after the first stage. The Gordon Growth formula is used to calculate Terminal Value at a future annual growth rate equal to the 5-year average of the 10-year government bond yield of 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 9.4%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = US$240m× (1 + 1.9%) ÷ (9.4%– 1.9%) = US$3.3b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$3.3b÷ ( 1 + 9.4%)¹⁰= US$1.3b

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$2.9b. 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$18.3, the company appears a touch undervalued at a 22% 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 KAR Auction Services 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 1.766. 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.

Next Steps:

Valuation is only one side of the coin in terms of building your investment thesis, and 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?" 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. Can we work out why the company is trading at a discount to intrinsic value? For KAR Auction Services, we've compiled three further aspects you should assess:

1. Risks: We feel that you should assess the 2 warning signs for KAR Auction Services (1 is a bit unpleasant!) we've flagged before making an investment in the company.
2. Future Earnings: How does KAR'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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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.