# Calculating The Fair Value Of LiveChat Software S.A. (WSE:LVC)

Today we’ll do a simple run through of a valuation method used to estimate the attractiveness of LiveChat Software S.A. (WSE:LVC) as an investment opportunity by taking the foreast future cash flows of the company and discounting them back to today’s value. I will be 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.

View our latest analysis for LiveChat Software

### The method

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

#### 10-year free cash flow (FCF) forecast

 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 Levered FCF (PLN, Millions) zł61.4m zł66.9m zł72.2m zł73.2m zł93.0m zł100.3m zł106.4m zł111.6m zł116.1m zł120.0m Growth Rate Estimate Source Analyst x4 Analyst x4 Analyst x4 Analyst x2 Analyst x1 Est @ 7.87% Est @ 6.1% Est @ 4.87% Est @ 4.01% Est @ 3.4% Present Value (PLN, Millions) Discounted @ 9.1% zł56.2 zł56.2 zł55.6 zł51.6 zł60.1 zł59.4 zł57.8 zł55.5 zł52.9 zł50.2

(“Est” = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = zł555m

After calculating the present value of future cash flows in the intial 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 10-year government bond rate of 2.0%. We discount the terminal cash flows to today’s value at a cost of equity of 9.1%.

Terminal Value (TV)= FCF2029 × (1 + g) ÷ (r – g) = zł120m× (1 + 2.0%) ÷ 9.1%– 2.0%) = zł1.7b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= zł1.7b÷ ( 1 + 9.1%)10= zł718m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is zł1.3b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of zł46.3, the company appears about fair value at a 6.4% 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.

### The assumptions

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual cash flows. You don’t have to agree with these inputs, I recommend redoing the calculations yourself and playing with them. 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 LiveChat Software 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 9.1%, which is based on a levered beta of 1.095. 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, DCF calculation shouldn’t be the only metric you look at when researching a company. The DCF model is not a perfect stock valuation tool. 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. For LiveChat Software, There are three pertinent aspects you should look at:

1. Financial Health: Does LVC have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
2. Future Earnings: How does LVC’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: Are there other high quality stocks you could be holding instead of LVC? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!

PS. Simply Wall St updates its DCF calculation for every PL stock every day, so if you want to find the intrinsic value of any other stock just search here.

If you spot an error that warrants correction, please contact the editor at editorial-team@simplywallst.com. 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. Simply Wall St has no position in the stocks mentioned.

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