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Stock-Picking using discounted cash flow analysis

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EquityChamp

EquityChamp
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Doing basic fundamental valuation is quite straightforward; all it takes is a little time and energy. The goal of analyzing a company's fundamentals is to find a stock's intrinsic value, a fancy term for what you believe a stock is really worth - as opposed to the value at which it is being traded in the marketplace. If the intrinsic value is more than the current share price, your analysis is showing that the stock is worth more than its price and that it makes sense to buy the stock.

Although there are many different methods of finding the intrinsic value, the premise behind all the strategies is the same: a company is worth the sum of its discounted cash flows. In plain English, this means that a company is worth all of its future profits added together. And these future profits must be discounted to account for the time value of money, that is, the force by which the $1 you receive in a year's time is worth less than $1 you receive today.

The idea behind intrinsic value equaling future profits makes sense if you think about how a business provides value for its owner(s). If you have a small business, its worth is the money you can take from the company year after year (not the growth of the stock). And you can take something out of the company only if you have something left over after you pay for supplies and salaries, reinvest in new equipment, and so on. A business is all about profits, plain old revenue minus expenses - the basis of intrinsic value.

Greater Fool Theory
One of the assumptions of the discounted cash flow theory is that people are rational, that nobody would buy a business for more than its future discounted cash flows. Since a stock represents ownership in a company, this assumption applies to the stock market. But why, then, do stocks exhibit such volatile movements? It doesn't make sense for a stock's price to fluctuate so much when the intrinsic value isn't changing by the minute.

The fact is that many people do not view stocks as a representation of discounted cash flows, but as trading vehicles. Who cares what the cash flows are if you can sell the stock to somebody else for more than what you paid for it? Cynics of this approach have labeled it the greater fool theory, since the profit on a trade is not determined by a company's value, but about speculating whether you can sell to some other investor (the fool). On the other hand, a trader would say that investors relying solely on fundamentals are leaving themselves at the mercy of the market instead of observing its trends and tendencies.

This debate demonstrates the general difference between a technical and fundamental investor. A follower of technical analysis is guided not by value, but by the trends in the market often represented in charts. So, which is better: fundamental or technical? The answer is neither. As we mentioned in the introduction, every strategy has its own merits. In general, fundamental is thought of as a long-term strategy, while technical is used more for short-term strategies.

Putting Theory into Practice
The idea of discounting cash flows seems okay in theory, but implementing it in real life is difficult. One of the most obvious challenges is determining how far into the future we should forecast cash flows. It's hard enough to predict next year's profits, so how can we predict the course of the next 10 years? What if a company goes out of business? What if a company survives for hundreds of years? All of these uncertainties and possibilities explain why there are many different models devised for discounting cash flows, but none completely escapes the complications posed by the uncertainty of the future.

Let's look at a sample of a model used to value a company. Because this is a generalized example, don't worry if some details aren't clear. The purpose is to demonstrate the bridging between theory and application. Take a look at how valuation based on fundamentals would look:


Stock-Picking using discounted cash flow analysis _fun_1

The problem with projecting far into the future is that we have to account for the different rates at which a company will grow as it enters different phases. To get around this problem, this model has two parts: (1) determining the sum of the discounted future cash flows from each of the next five years (years one to five), and (2) determining 'residual value', which is the sum of the future cash flows from the years starting six years from now.




In this particular example, the company is assumed to grow at 15% a year for the first five years and then 5% every year after that (year six and beyond). First, we add together all the first five yearly cash flows - each of which are discounted to year zero, the present - in order to determine the present value (PV). So once the present value of the company for the first five years is calculated, we must, in the second stage of the model, determine the value of the cash flows coming from the sixth year and all the following years, when the company's growth rate is assumed to be 5%. The cash flows from all these years are discounted back to year five and added together, then discounted to year zero, and finally combined with the PV of the cash flows from years one to five (which we calculated in the first part of the model). And voilà! We have an estimate (given our assumptions) of the intrinsic value of the company. An estimate that is higher than the current market capitalization indicates that it may be a good buy. Below, we have gone through each component of the model with specific notes:


  1. Prior-year cash flow - The theoretical amount, or total profits, that the shareholders could take from the company the previous year.
  2. Growth rate - The rate at which owner's earnings are expected to grow for the next five years.
  3. Cash flow - The theoretical amount that shareholders would get if all the company's earnings, or profits, were distributed to them.
  4. Discount factor - The number that brings the future cash flows back to year zero. In other words, the factor used to determine the cash flows' present value (PV).
  5. Discount per year - The cash flow multiplied by the discount factor.
  6. Cash flow in year five - The amount the company could distribute to shareholders in year five.
  7. Growth rate - The growth rate from year six into perpetuity.
  8. Cash flow in year six - The amount available in year six to distribute to shareholders.
  9. Capitalization Rate - The discount rate (the denominator) in the formula for a constantly growing perpetuity.
  10. Value at the end of year five - The value of the company in five years.
  11. Discount factor at the end of year five - The discount factor that converts the value of the firm in year five into the present value.
  12. PV of residual value - The present value of the firm in year five.

tkc

tkc
Assistant Vice President - Equity Analytics
Assistant Vice President - Equity Analytics

Bookmarked for reading. Rep+

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