Estimating The Intrinsic Value Of Good Will Instrument Co., Ltd. (TPE:2423)

How far off is Good Will Instrument Co., Ltd. (TPE:2423) 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. 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.

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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

Check out our latest analysis for Good Will Instrument

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 start off with, we need to estimate 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 discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) estimate

	2021	2022	2023	2024	2025	2026	2027	2028	2029	2030
Levered FCF (NT$, Millions)	NT$302.8m	NT$291.3m	NT$284.3m	NT$280.2m	NT$278.1m	NT$277.3m	NT$277.5m	NT$278.3m	NT$279.5m	NT$281.1m
Growth Rate Estimate Source	Est @ -5.77%	Est @ -3.79%	Est @ -2.4%	Est @ -1.43%	Est @ -0.75%	Est @ -0.28%	Est @ 0.05%	Est @ 0.29%	Est @ 0.45%	Est @ 0.56%
Present Value (NT$, Millions) Discounted @ 8.0%	NT$280	NT$250	NT$225	NT$206	NT$189	NT$174	NT$161	NT$150	NT$139	NT$130

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = NT$1.9b

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. 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 0.8%. We discount the terminal cash flows to today's value at a cost of equity of 8.0%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = NT$281m× (1 + 0.8%) ÷ (8.0%– 0.8%) = NT$3.9b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= NT$3.9b÷ ( 1 + 8.0%)¹⁰= NT$1.8b

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 NT$3.7b. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of NT$23.7, the company appears about fair value at a 7.7% 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

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. Part of investing is coming up with your own evaluation of a company's future performance, so try the calculation yourself and check your own 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 Good Will Instrument 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 8.0%, which is based on a levered beta of 1.178. 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.

Looking Ahead:

Whilst important, the DCF calculation is only one of many factors that you need to assess for 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?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Good Will Instrument, we've compiled three essential factors you should consider:

1. Risks: For example, we've discovered 1 warning sign for Good Will Instrument that you should be aware of before investing here.
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 Environmentally-Friendly Companies: Concerned about the environment and think consumers will buy eco-friendly products more and more? Browse through our interactive list of companies that are thinking about a greener future to discover some stocks you may not have thought of!

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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