A Look At The Fair Value Of Chr. Hansen Holding A/S (CPH:CHR)

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Chr. Hansen Holding A/S (CPH:CHR) as an investment opportunity by taking the forecast future cash flows of the company and discounting them back to today's value. We will use the Discounted Cash Flow (DCF) model on this occasion. It may sound complicated, but actually it is quite simple!

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.

View our latest analysis for Chr. Hansen Holding

Step by step through the calculation

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. In the first stage we need to estimate the cash flows to the business over the next ten years. 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) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€157.4m	€204.3m	€249.9m	€233.5m	€297.0m	€319.2m	€336.0m	€348.4m	€357.6m	€364.2m
Growth Rate Estimate Source	Analyst x9	Analyst x9	Analyst x9	Analyst x2	Analyst x1	Est @ 7.47%	Est @ 5.26%	Est @ 3.71%	Est @ 2.62%	Est @ 1.86%
Present Value (€, Millions) Discounted @ 4.2%	€151	€188	€221	€198	€241	€249	€251	€250	€246	€240

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €2.2b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 0.09%. We discount the terminal cash flows to today's value at a cost of equity of 4.2%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €364m× (1 + 0.09%) ÷ (4.2%– 0.09%) = €8.8b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €8.8b÷ ( 1 + 4.2%)¹⁰= €5.8b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €8.0b. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of kr.542, the company appears around fair value at the time of writing. 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 Chr. Hansen Holding 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 4.2%, which is based on a levered beta of 0.981. 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. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Chr. Hansen Holding, there are three essential aspects you should explore:

1. Risks: You should be aware of the 1 warning sign for Chr. Hansen Holding we've uncovered before considering an investment in the company.
2. Future Earnings: How does CHR'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. Simply Wall St updates its DCF calculation for every Danish 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. 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.