An Intrinsic Calculation For Copart, Inc. (NASDAQ:CPRT) Suggests It's 41% Undervalued

In this article we are going to estimate the intrinsic value of Copart, Inc. (NASDAQ:CPRT) by taking the expected future cash flows and discounting them to today's value. Our analysis will employ 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 Copart

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. 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 discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) forecast

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF ($, Millions)	US$877.5m	US$802.0m	US$1.08b	US$1.29b	US$1.48b	US$1.64b	US$1.77b	US$1.88b	US$1.97b	US$2.05b
Growth Rate Estimate Source	Analyst x2	Analyst x2	Analyst x1	Est @ 19.68%	Est @ 14.35%	Est @ 10.62%	Est @ 8.01%	Est @ 6.18%	Est @ 4.9%	Est @ 4.01%
Present Value ($, Millions) Discounted @ 5.8%	US$830	US$717	US$914	US$1.0k	US$1.1k	US$1.2k	US$1.2k	US$1.2k	US$1.2k	US$1.2k

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$11b

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. 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 5.8%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = US$2.0b× (1 + 1.9%) ÷ (5.8%– 1.9%) = US$54b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$54b÷ ( 1 + 5.8%)¹⁰= US$31b

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$41b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$103, the company appears quite good value at a 41% discount to where the stock price trades currently. The assumptions in any calculation have a big impact on the valuation, so it is better to view this as a rough estimate, not precise down to the last cent.

The assumptions

Now 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 Copart 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 0.911. 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.

Moving On:

Valuation is only one side of the coin in terms of building your investment thesis, and 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. 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. Why is the intrinsic value higher than the current share price? For Copart, we've compiled three relevant items you should explore:

1. Risks: Consider for instance, the ever-present spectre of investment risk. We've identified 1 warning sign with Copart , and understanding it should be part of your investment process.
2. Future Earnings: How does CPRT'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 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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the NASDAQGS every day. If you want to find the calculation for other stocks 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.