A Look At The Fair Value Of Perseus Mining Limited (ASX:PRU)

How far off is Perseus Mining Limited (ASX:PRU) 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. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. 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 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 Perseus Mining

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.

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (A$, Millions)	AU$415.0m	AU$495.2m	AU$382.9m	AU$42.0m	AU$184.0m	AU$125.5m	AU$98.3m	AU$83.9m	AU$75.7m	AU$71.0m
Growth Rate Estimate Source	Analyst x3	Analyst x3	Analyst x2	Analyst x1	Analyst x1	Est @ -31.78%	Est @ -21.71%	Est @ -14.65%	Est @ -9.72%	Est @ -6.26%
Present Value (A$, Millions) Discounted @ 6.3%	AU$391	AU$438	AU$319	AU$32.9	AU$136	AU$87.1	AU$64.2	AU$51.5	AU$43.8	AU$38.6

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = AU$1.6b

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 (1.8%) 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 6.3%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = AU$71m× (1 + 1.8%) ÷ (6.3%– 1.8%) = AU$1.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= AU$1.6b÷ ( 1 + 6.3%)¹⁰= AU$878m

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$2.5b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of AU$1.8, the company appears about fair value at a 12% discount to where the stock price trades currently. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

dcf

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. 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 Perseus Mining 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 6.3%, which is based on a levered beta of 1.056. 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. DCF models are not the be-all and end-all of investment valuation. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. 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 Perseus Mining, we've put together three additional factors you should further research:

1. Risks: You should be aware of the 1 warning sign for Perseus Mining we've uncovered before considering an investment in the company.

2. Future Earnings: How does PRU'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.