In this article we are going to estimate the intrinsic value of Perseus Mining Limited (ASX:PRU) by taking the expected future cash flows and discounting them to their present value. This will be done using the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!
We generally believe that a company's value is the present value of all of the cash it will generate in the future. However, a DCF is just one valuation metric among many, and it is not without flaws. 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.
See our latest analysis for Perseus Mining
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 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:
2025 | 2026 | 2027 | 2028 | 2029 | 2030 | 2031 | 2032 | 2033 | 2034 | |
Levered FCF ($, Millions) | US$255.1m | US$186.8m | US$226.3m | US$289.7m | US$144.3m | US$142.5m | US$142.4m | US$143.5m | US$145.4m | US$148.0m |
Growth Rate Estimate Source | Analyst x2 | Analyst x1 | Analyst x1 | Analyst x1 | Analyst x1 | Est @ -1.29% | Est @ -0.08% | Est @ 0.77% | Est @ 1.36% | Est @ 1.77% |
Present Value ($, Millions) Discounted @ 7.3% | US$238 | US$162 | US$183 | US$218 | US$101 | US$93.3 | US$86.8 | US$81.5 | US$77.0 | US$73.0 |
("Est" = FCF growth rate estimated by Simply Wall St)Present Value of 10-year Cash Flow (PVCF) = US$1.3b
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 2.7%. We discount the terminal cash flows to today's value at a cost of equity of 7.3%.
Terminal Value (TV)= FCF2034 × (1 + g) ÷ (r – g) = US$148m× (1 + 2.7%) ÷ (7.3%– 2.7%) = US$3.3b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$3.3b÷ ( 1 + 7.3%)10= US$1.6b
The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is US$3.0b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of AU$3.0, the company appears about fair value at a 13% discount to where the stock price trades currently. 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.
Now 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 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 7.3%, 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.
Although the valuation of a company is important, it is only one of many factors that you need to assess for a company. The DCF model is not a perfect stock valuation tool. 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 Perseus Mining, we've compiled three fundamental items you should assess:
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.
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