How far off is Trainline Plc (LON:TRN) 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 forecast future cash flows of the company and discounting them back to today's 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.

We would caution that there are many ways of valuing a company and, like the DCF, each technique has advantages and disadvantages in certain scenarios. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

See our latest analysis for Trainline

The 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. To start off with, we need to estimate 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

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = UK£526m

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 0.9%. We discount the terminal cash flows to today's value at a cost of equity of 6.8%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = UK£90m× (1 + 0.9%) ÷ (6.8%– 0.9%) = UK£1.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= UK£1.6b÷ ( 1 + 6.8%)¹⁰= UK£809m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is UK£1.3b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of UK£2.4, the company appears about fair value at a 16% 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.

Important 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 Trainline 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 6.8%, which is based on a levered beta of 1.199. 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:

Whilst important, the DCF calculation ideally won't be the sole piece of analysis you scrutinize for a company. It's not possible to obtain a foolproof valuation with a DCF model. 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. For Trainline, we've compiled three relevant aspects you should explore:

1. Risks: Case in point, we've spotted 1 warning sign for Trainline you should be aware of.

2. Future Earnings: How does TRN'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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the LSE every day. If you want to find the calculation for other stocks just search here.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.

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.