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# Calculating The Fair Value Of Gujarat Pipavav Port Limited (NSE:GPPL)

In this article we are going to estimate the intrinsic value of Gujarat Pipavav Port Limited (NSE:GPPL) by taking the foreast future cash flows of the company and discounting them back to today's value. This is done using the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!

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

### The method

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 start off with, we need to estimate 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

 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 Levered FCF (â‚¹, Millions) â‚¹3.3b â‚¹2.8b â‚¹3.8b â‚¹4.1b â‚¹4.4b â‚¹4.8b â‚¹5.1b â‚¹5.5b â‚¹5.9b â‚¹6.4b Growth Rate Estimate Source Analyst x8 Analyst x8 Analyst x2 Est @ 7.84% Est @ 7.75% Est @ 7.69% Est @ 7.65% Est @ 7.62% Est @ 7.6% Est @ 7.58% Present Value (â‚¹, Millions) Discounted @ 15.3% â‚¹2.9k â‚¹2.1k â‚¹2.5k â‚¹2.3k â‚¹2.2k â‚¹2.0k â‚¹1.9k â‚¹1.8k â‚¹1.6k â‚¹1.5k

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF)= â‚¹20.8b

The second stage is also known as Terminal Value, this is the business's cash flow after the first stage. 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 10-year government bond rate (7.6%) 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 15.3%.

Terminal Value (TV) = FCF2029 Ã— (1 + g) Ã· (r â€“ g) = â‚¹6.4b Ã— (1 + 7.6%) Ã· (15.3% â€“ 7.6%) = â‚¹89b

Present Value of Terminal Value (PVTV) = TV / (1 + r)10 = â‚¹â‚¹89b Ã· ( 1 + 15.3%)10 = â‚¹21.35b

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 â‚¹42.14b. In the final step we divide the equity value by the number of shares outstanding. This results in an intrinsic value estimate of â‚¹87.16. Relative to the current share price of â‚¹80.25, the company appears about fair value at a 7.9% 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.

### Important assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 Gujarat Pipavav Port 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 15.3%, which is based on a levered beta of 0.902. 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:

Although the valuation of a company is important, it shouldnâ€™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?" 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 Gujarat Pipavav Port, There are three additional aspects you should further examine:

1. Future Earnings: How does GPPL'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.
2. Other High Quality Alternatives: Are there other high quality stocks you could be holding instead of GPPL? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!

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

We aim to bring you long-term focused research analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material.

If you spot an error that warrants correction, please contact the editor at editorial-team@simplywallst.com. This article by Simply Wall St is general in nature. It does not constitute a recommendation to buy or sell any stock, and does not take account of your objectives, or your financial situation. Simply Wall St has no position in the stocks mentioned. Thank you for reading.