An Intrinsic Calculation For Aurizon Holdings Limited (ASX:AZJ) Suggests It's 42% Undervalued

How far off is Aurizon Holdings Limited (ASX:AZJ) 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 today's value. We will use the Discounted Cash Flow (DCF) model on this occasion. 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. 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 Aurizon Holdings

Crunching the numbers

We are going to use a two-stage DCF model, which, as the name states, takes into account two stages of growth. The first stage is generally a higher growth period which levels off heading towards the terminal value, captured in the second 'steady growth' period. To begin with, we have to get estimates of 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

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (A$, Millions)	AU$606.4m	AU$586.2m	AU$637.3m	AU$700.1m	AU$704.0m	AU$710.4m	AU$718.9m	AU$728.9m	AU$740.1m	AU$752.2m
Growth Rate Estimate Source	Analyst x5	Analyst x5	Analyst x4	Analyst x2	Analyst x1	Est @ 0.91%	Est @ 1.2%	Est @ 1.4%	Est @ 1.53%	Est @ 1.63%
Present Value (A$, Millions) Discounted @ 7.4%	AU$565	AU$509	AU$515	AU$527	AU$493	AU$464	AU$437	AU$413	AU$390	AU$370

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = AU$4.7b

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 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 7.4%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = AU$752m× (1 + 1.9%) ÷ (7.4%– 1.9%) = AU$14b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= AU$14b÷ ( 1 + 7.4%)¹⁰= AU$6.8b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is AU$12b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of AU$3.7, the company appears quite undervalued at a 42% 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

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. 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 Aurizon Holdings 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 7.4%, which is based on a levered beta of 1.257. 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:

Whilst important, the 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?" For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. Why is the intrinsic value higher than the current share price? For Aurizon Holdings, we've put together three important items you should further examine:

1. Risks: To that end, you should be aware of the 2 warning signs we've spotted with Aurizon Holdings .
2. Future Earnings: How does AZJ'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. Simply Wall St updates its DCF calculation for every Australian 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.