Calculating The Intrinsic Value Of Perseus Mining Limited (ASX:PRU)

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Perseus Mining Limited (ASX:PRU) as an investment opportunity by projecting its future cash flows and then discounting them to today's value. Our analysis will employ the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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 Perseus Mining

The Calculation

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 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.

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

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF (A$, Millions)	AU$431.1m	AU$243.0m	AU$157.2m	AU$119.2m	AU$99.7m	AU$88.9m	AU$82.6m	AU$79.0m	AU$77.0m	AU$76.1m
Growth Rate Estimate Source	Analyst x3	Analyst x2	Est @ -35.31%	Est @ -24.15%	Est @ -16.35%	Est @ -10.88%	Est @ -7.06%	Est @ -4.38%	Est @ -2.5%	Est @ -1.19%
Present Value (A$, Millions) Discounted @ 6.8%	AU$404	AU$213	AU$129	AU$91.6	AU$71.7	AU$59.8	AU$52.1	AU$46.6	AU$42.5	AU$39.4

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = AU$1.1b

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 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 6.8%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = AU$76m× (1 + 1.9%) ÷ (6.8%– 1.9%) = AU$1.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= AU$1.6b÷ ( 1 + 6.8%)¹⁰= AU$811m

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 AU$2.0b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of AU$1.6, the company appears around fair value at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

dcf

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 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 6.8%, which is based on a levered beta of 1.057. 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 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. Instead the best use for a DCF model is to test certain assumptions and theories to see if they would lead to the company being undervalued or overvalued. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Perseus Mining, we've compiled three additional factors you should further examine:

1. Risks: As an example, we've found 2 warning signs for Perseus Mining (1 is potentially serious!) that you need to consider before investing here.

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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the ASX every day. If you want to find the calculation for other stocks just search here.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.

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.

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