In this article we are going to estimate the intrinsic value of Changyou.com Limited (NASDAQ:CYOU) by projecting its future cash flows and then discounting them to today's value. I will be using the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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.

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Check out our latest analysis for Changyou.com

### Crunching the numbers

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. 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

#### 10-year free cash flow (FCF) forecast

2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 | 2027 | 2028 | |

Levered FCF ($, Millions) | $104.00 | $107.00 | $108.00 | $101.14 | $97.46 | $95.79 | $95.42 | $95.94 | $97.09 | $98.71 |

Growth Rate Estimate Source | Analyst x1 | Analyst x1 | Analyst x1 | Est @ -6.36% | Est @ -3.63% | Est @ -1.72% | Est @ -0.39% | Est @ 0.55% | Est @ 1.2% | Est @ 1.66% |

Present Value ($, Millions) Discounted @ 8.9% | $95.50 | $90.23 | $83.63 | $71.92 | $63.64 | $57.44 | $52.54 | $48.51 | $45.08 | $42.09 |

**Present Value of 10-year Cash Flow (PVCF)**= $650.59m

"Est" = FCF growth rate estimated by Simply Wall St

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 10-year government bond rate of 2.7%. We discount the terminal cash flows to today's value at a cost of equity of 8.9%.

**Terminal Value (TV)** = FCF_{2029} Ã— (1 + g) Ã· (r â€“ g) = US$99m Ã— (1 + 2.7%) Ã· (8.9% â€“ 2.7%) = US$1.6b

**Present Value of Terminal Value (PVTV)** = TV / (1 + r)^{10} = $US$1.6b Ã· ( 1 + 8.9%)^{10} = $701.05m

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 $1.35b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. **This results in an intrinsic value estimate of $26.05**. Relative to the current share price of $18.55, the company appears a touch undervalued at a 29% 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.

### 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. 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 Changyou.com 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 8.9%, which is based on a levered beta of 1.035. 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, DCF calculation 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. What is the reason for the share price to differ from the intrinsic value? For Changyou.com, There are three additional factors you should further examine:

**Financial Health**: Does CYOU have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.**Future Earnings**: How does CYOU'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.**Other High Quality Alternatives**: Are there other high quality stocks you could be holding instead of CYOU? 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 NASDAQ every day. If you want to find the calculation for other stocks just search here.

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*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.*