Calculating The Fair Value Of Longwell Company (GTSM:6290)

In this article we are going to estimate the intrinsic value of Longwell Company (GTSM:6290) by taking the expected future cash flows and discounting them to their present value. This will be done using the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

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.

See our latest analysis for Longwell

The calculation

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. 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, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) estimate

	2021	2022	2023	2024	2025	2026	2027	2028	2029	2030
Levered FCF (NT$, Millions)	NT$725.7m	NT$677.1m	NT$647.0m	NT$628.5m	NT$617.4m	NT$611.4m	NT$608.7m	NT$608.4m	NT$609.7m	NT$612.1m
Growth Rate Estimate Source	Est @ -9.93%	Est @ -6.7%	Est @ -4.44%	Est @ -2.86%	Est @ -1.75%	Est @ -0.98%	Est @ -0.44%	Est @ -0.06%	Est @ 0.21%	Est @ 0.4%
Present Value (NT$, Millions) Discounted @ 8.5%	NT$669	NT$576	NT$507	NT$454	NT$411	NT$376	NT$345	NT$318	NT$293	NT$272

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = NT$4.2b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 (0.8%) 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 8.5%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = NT$612m× (1 + 0.8%) ÷ (8.5%– 0.8%) = NT$8.1b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= NT$8.1b÷ ( 1 + 8.5%)¹⁰= NT$3.6b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is NT$7.8b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of NT$52.6, the company appears about fair value at a 0.5% discount to where the stock price trades currently. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.

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 Longwell 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 8.5%, which is based on a levered beta of 1.247. 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. 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 example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Longwell, we've put together three further elements you should explore:

1. Risks: You should be aware of the 2 warning signs for Longwell we've uncovered before considering an investment in the company.
2. 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!
3. Other Top Analyst Picks: Interested to see what the analysts are thinking? Take a look at our interactive list of analysts' top stock picks to find out what they feel might have an attractive future outlook!

PS. Simply Wall St updates its DCF calculation for every Taiwanese 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. 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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