Simple DCF

Valuation

At the end of the day, every company is worth whatever the current value of all its future cash flows are discounted backward to today's terms.


It is a hint, not an answer.  Based on a lot of assumptions, using conservative figures.

1st 10 years Cash flow. using OWNERS EARNINGS (FCF).
Cash flow beyond the 10th year (Terminal value):  Assumes growth at 3% per year.
Add all the above discounted cashflows to get the present value..

Only the FCFs are hard data, all others are assumptions.

Time 14.13
http://www.youtube.com/watch?v=zA8udp8uRnw&feature=relmfu

Types of Growth and DCF models

Models of Investment Valuation





Declining DDM  



Constant DDM   


                
Slow Growth DDM  


             
Fast Growth DDM




Forecasts of Dividends or Free Cash Flow



Logit Growth DDM 
                     

2-Stage Growth DDM           



FCF Constant D/E                 



FCF Rising D/E




http://www.numeraire.com/value.htm

Some of the most common types of intrinsic economic valuation model.

Instead of estimating each cash flow for each time period using a general-purpose DCF model that can be used for any investment asset, we can make reasonable simplifying assumptions for different kinds of specific investments in order to develop formulas by which these estimates can be made.

• These formulas provide shortcuts to operationalize the theory, and represent different types of the dividend discount model (DDM). 
• In each model type, dividends or free-cash-flow continue forever, but a terminal price may be assumed to simplify the analysis. 
• These model types can be given names so as to emphasize their specific simplifying assumptions.

Some of the most common types of intrinsic economic valuation model are

• constant dividend in perpetuity,
• constant dividend growth rate in perpetuity, e.g., decline (negative growth), slow growth, and fast growth,
• constant multistage dividend growth rates, e.g., two-stage and three-stage,
• variable logistic (LOGIT) dividend growth rates,
• free-cash-flow (FCF) used to estimate the cash distributions to equity owners, e.g., free-cash-flow with constant financial leverage (debt/equity ratio) and free-cash-flow with increasing financial leverage (rising debt/equity ratio), which in turn can be used either in a general DCF model or in a specific DDM model,
• special situations handled by a general-purpose DCF model that is customized to fit the circumstances of each investment case, e.g., rapid growth by external merger or acquisition (M&A) or by internal sudden expansion. Relatively complex M&A models are available elsewhere. In such cases the capital gains component of total return can greatly dominate the dividend component, especially when the number of years of dividends in the analysis is small.

Following the example of John Burr Williams (1938), four types of models of investment valuation and four types of dividend forecasts are illustrated below.

• The vertical axis is cash flow, and the scale is log-linear except for FCF forecasts which is linear. 
• The horizontal axis is time in years, and it continues to infinity. 
• A company lives forever, but its estimate of dividends or cash flow can have a finite life with a capital gain at the end of the forecast period.

Types of Growth
Models of Investment Valuation
Declining DDM	Constant DDM	Slow Growth DDM	Fast Growth DDM
Forecasts of Dividends or Free Cash Flow
Logit Growth DDM	2-Stage Growth DDM	FCF Constant D/E	FCF Rising D/E

• Slow and fast growth are relative to current average growth rates, historical precedents and the discount rate used in the model.
• Fast growth includes speculative growth. 
• LOGIT growth is a special case of S-curve growth for rapid followed by slower growth phases. 
• These growth patterns may be used in multi-stage models with different patterns for different stages of growth. See theory for the mathematics behind these models.

These models have been implemented in DCF Valuator, a free online web-based application that estimates intrinsic value per share, goal implied value, range of value with Monte Carlo simulation scenarios, and rate of return on investment for any common stock in any currency. For a walk-through tour of the DCF Valuator, click here and invoke any of the model types in the table.

 http://www.numeraire.com/value.htm

DCF Valuation: The classic work of John Burr Williams

The valuation model for estimating the investment value of an operating enterprise in the private market, independent of the stock market price quotations, is based on the discounted cash flow (DCF) method using the time value of money. 


The classic work of John Burr Williams (see the models section at theory ) is the basis for the development of most equity valuation models, and his work is here referred to as the DCF Model rather than the narrower misleading name of Dividend Discount Model or DDM. 


For academic models of equity valuation, see Investments by Brodie, Kane and Marcus in General Books, or go to textbook models. For less academic approaches to firm valuation, see Damodaran on Valuation in Special Books, or go to his practical modelsof equity valuation. For a practical firm valuation model, see the McKinsey model tutorial with an example company valuation and downloads in a working paper at the Stockholm School of Economics. The McKinsey approach is the subject of the book titled Valuation by Tom Copeland et al in General Books.

The general model can be expressed verbally, mathematically, and graphically. 


Thus, in words:

1. If you commit your cash to a particular investment opportunity, then what cash can you expect to get out of it in return? What is your reward for abstinence and risk-taking?

2. What are the estimated net cash flows attributable to this proposed investment; i.e., what are the expected dividend distributions and the future terminal selling price?

3. What is the present value of these net cash flows, discounted at an appropriate rate of interest? This is the intrinsic economic value of the equity investment.

4. What is the margin of safety, both in dollars and in percentage? Is the intrinsic value per share of common stock greater than the stock market asking-price quotation by an amount sufficiently compelling to justify a long-term commitment to this particular investment?

Mathematically, the DCF model can be expressed both in an abstract standard form for the general case and in many concrete forms for simplifying special cases. Conceptually, the DCF Model is like an ideal of Plato which manifests itself in different empirical forms. We refer to these empirical forms types of the DCF Model. In all forms, the net present value of the investment, i.e., its intrinsic economic value, is equated with the sum of the products of each net cash flow and its discount rate. After intrinsic value has been estimated from fundamental data, it can be expressed in terms of earnings, book value, dividends, sales, cash flow, or other accounting measures, but this is not necessary. 

Graphically, the model can be expressed in two dimensions as a horizontal time line with vertical bars showing positive and negative net cash flows, above and below the line respectively, from the date of your investment at time zero to the date of your future sale at the end of your horizon for this investment.


http://www.numeraire.com/value.htm

The quantity of value is an estimate or approximation. Intrinsic value can be quantified as Net Present Value (NPV) based on Discounted Cash Flow (DCF) analysis.

The quantity of value is an estimate or approximation. The estimated quantity of value is based on an appraisal or a valuation. It can be expressed either as 

• an interval estimate or 
• a range of quantitative values, or 
• as a single-point estimate or 
• a single quantity of varying precision. 

Either way, intrinsic value can be quantified as Net Present Value (NPV) based on Discounted Cash Flow (DCF) analysis.

Price is not value, neither in concept nor in quantity. Price is a market-generated quantity. 

• The confusing term "market value" is really market price. 
• The confusing term "fair market value" is really fair market price. 
• The fair market price is the price that equals the single quantity that best approximates investment value. 

The best point estimate of investment value is the mean of the distribution of values rather than the median of the distribution of values or the midpoint of the range of values.

http://www.numeraire.com/value.htm

HOW WARREN BUFFET DETERMINES A FAIR PRICE

The real secret of Warren Buffett is the methods that he uses, some of which are known from his remarks, and some of which are not, that allow him to predict cash flows with some probability.

Various books about Warren Buffett give their explanations as to how he calculates the price that he is prepared to pay for a share with the desired margin of safety.

• Mary Buffett and David Clarke pose a series of tests, based on past growth rates, returns on equity, book value and government bond price averages.
• Robert G Hagstrom Jnr in The Warren Buffet Way gives explanatory tables of past Berkshire Hathaway purchases using a DCF model and owner earnings.

Ultimately, the investor must decide upon their own methods of arriving at the intrinsic value of a share and the margin of error that they want for themselves.

INTRINSIC VALUE: THE RIGHT PRICE TO PAY

INTRINSIC VALUE

Both Warren Buffett and Benjamin Graham talk about the intrinsic value of a business, or a share in it.  That is, to buy a business, or a share in it, at a fair price. 

But, having regard to the possibility of error in calculating intrinsic value, the careful of investor should provide a margin of error by only buying the business, or shares, at a substantial discount to the intrinsic value.

Buffett is said to look for a 25 per cent discount, but who really knows?

DEFINING INTRINSIC VALUE

Buffett’s concept, in looking at intrinsic value, is that it values what can be taken out of the business. 

He has quoted investment guru John Burr Williams who defined value like this:

‘The value of any stock, bond or business today is determined by the cash inflows and outflows – discounted at an appropriate interest rate – that can be expected to occur during the remaining life of the asset.’ – The Theory of Investment Value.

The difference for Buffett in calculating the value of bonds and shares is that the investor knows the eventual price of the bond when it matures but has to guess the price of the share at some future date.

WHAT WARREN BUFFETT SAYS ABOUT PREDICTING FUTURE CASH FLOWS

DISCOUNTED CASH FLOW (DCF)

This method of valuation is often referred to as the Discounted Cash Flow (DCF) valuation method, but, as Buffett has said in relation to shares, it is not easy to predict future cash flows and this is why he sticks to investment in companies that are consistent, well managed, and simple to understand. 

A company that is hard to understand or that changes frequently does not allow for easy prediction of future earnings and outgoings.

WHAT WARREN BUFFETT SAYS ABOUT PREDICTING FUTURE CASH FLOWS

In 1992, Warren Buffett said that:

‘Leaving question of price aside, the best business to own is one that over an extended period can employ large amounts of capital at very high rates of return. The worst company to own is one that must, or will, do the opposite – that is, consistently employ ever-greater amounts of capital at very low rates of return.’

It is well worth reading Buffet’s analogy relating DCF to a university education in his 1994 Letter to Shareholders.

So, it would seem that the intrinsic value of a share in a company relates to the DCF that can be expected from the investment. 

There are formulas for working out discounted cash flows and they can be complex but they give a result.

EXPLANATIONS OF DCF

The best explanation that we have read of DCF is by Lawrence A Cunningham in his outstanding book How to think like Benjamin Graham and invest like Warren Buffett.

A good online explanation is available here.

http://www.buffettsecrets.com/price-to-pay.htm

Valuing Stocks - Absolute or Intrinsic Valuation

The two basic method of valuing stocks are;

• Relative valuation
• Absolute or Intrinsic valuation

Usually, absolute value is estimated by calculating the present value of the company's future free cash flows (cash flow minus capital spending).

The present value of that future-income stream is the theoretically correct value of the stock.

This method has its own difficulties and is less frequently used, but absolute value deserves a place in every investor's arsenal of valuation tools.

Calculating the absolute value of a stock isn't easy.  It is tough to forecast:

• how fast a company's free cash flow will grow, 
• how long they'll grow, and 
• at what rate they should be discounted back to the present.  

We estimate stocks's absolute values by inputting our estimates of a company's growth rate, profitability, and the efficiency with which it uses its assets into a discounted cash flow model.  The result is an analyst-driven estimate of a stock's fair value in absolute terms.

In an imperfect world, opting for the much easier - if less pure - method of relative valuation often makes sense.  

However, when the companies you are using as your benchmark are themselves mis-priced, relative valuation can lead you astray; without a reliable measurement tool, your measurements will be off.  That last point is crucial.

If the S&P 500, for example, is trading at a P/E ratio that is very high by historical standards, using it as a benchmark can be hazardous.  

A stock can appear much cheaper than the overall market and still be quite expensive in absolute terms.  So what's an investor to do?  

Unfortunately, there aren't any easy answers.  

The best way to approach stock valuation is by using many different methods, the same way you would if you were valuing a used car or a house.

Checking out what similar houses in a neighbourhood have sold for is akin to relative valuation, and walking through a house you're interested in - looking at the construction and quality of materials - is similar to intrinsic valuation.  

A judicious mix of both methods will serve you well.

Finance for Managers - How to value a company? Summary

This chapter has examined the important but difficult subject of business valuation.  It described three approaches:

1.  Asset based:  The first valuation approach is asset-based:  equity book value, adjusted book value, liquidation value, and replacement value.  In general, these methods are easy to calculate and understand, but have notable weaknesses.  Except for replacement and adjusted book methods, they fail to reflect the actual market values of assets; they also fail to recognize the intangible value of an ongoing enterprise, which derives much of its wealth-generating power form human knowledge, skill, and reputation.

2.  Earnings based.  The second valuation approach described is the earnings-based:  P/E method, the EBIT, and EBITDA methods.  The earnings-based approach is generally superior to asset-based methods, but depends on the availability of comparable businesses whose P/E multiples are known.

3.  Cash-flow based.  Finally, the discounted cash flow method, which is based on the concepts of the time value of money.  The DCF method has many advantages, the most important being its future-looking orientation.  This method estimates future cash flows in terms of what a new owner could achieve.  It also recognizes the buyer's cost of capital.  The major weakness of the method is the difficulty inherent in producing reliable estimates of future cash flows.


In the end, these different approaches to valuation are bound to produce different outcomes.  Even the same method applied by two experienced professionals can produce different results.  For this reason, most appraisers use more than one method in approximating the true value of an asset or a business.

Finance for Managers - Discounted Cash Flow Valuation Method

One big problem with the earnings-based methods just described is that they are based on historical performance - what happened last year.  And as the oft-heard saying goes, past performance is no assurance of future results.  If you were making an offer to buy a local small business, chances are that you'd base your offer on its ability to produce profits int he years ahead.   Likewise, if your company were hatching plans to acquire Amalgamated Hat Rack, it would be less interested in what Amalgamated earned int he past than in what it is likely to earn in the future under new management and as an integrated unit of your enterprise.

We can direct out earnings-based valuation toward the future by using a more sophisticated valuation method:  discounted cash flow (DCF).  The DCF valuation method is based on the same time-value-of-money concepts.  DCF determines value by calculating the present value of a business's future cash flows, including its terminal value.  Since those cash flows are available to both equity holders and debt holders, DCF can reflect the value of the enterprise as a whole or can be confined to the cash flows left available to shareholders.

For example, let's apply this method to your own company's valuation.of Amalgamated Hat Rack, using the following steps:

1.  The process should begin with Amalgamated's income statement, from which your company's financial experts would try to identify Amalgamated's current actual cash flow.  They would use EBITDA and make some adjustment for taxes and for changes in working capital.  Necessary capital expenditures, which are not visible on the income statement, reduce cash and must also be subtracted.

2.  Your analysts would then estimate future annual cash flows - a tricky business to be sure.

3.  Next, you would estimate the terminal value.  You can either continue your cash flow estimates for 20 to 30 years (a questionable endeavor), or you can arbitrarily pick a date at which you will sell the business, and then estimate what that sale would net ($4.3 million in year 4 of the analysis that follows).  That net figure after taxes will fall into the final year's cash flow.  Alternatively, you could use the following equation for determining the present value of a perpetual series of equal annual cash flows:

Present value = Cash Flow / Discount Rate

Using the figures in the illustration, we could assume that the final year's cash flow of $600 (thousand) will go on indefinitely (referred to as a perpetuity).  This amount, divided by the discount rate of 12 percent, would give you a present value of $5 million.

4.  Compute the present value of each year's cash flow.

5.  Total the present values to determine the value fo the enterprise as a whole.

We have illustrated these steps in a hypothetical valuation of Amalgamated Hat Rack, using a discount rate of 12 percent (table 10-2).  Our calculated value there is $4,380,100.  (Note that we've estimated that we'd sell the business to a new owner at the end of the fourth year, netting $4.3 million.)

In this illustration, we've conveniently ignored the many details that go into estimating future cash flows, determining the appropriate discount rate (in this case we've used the firm's cost of capital), and the terminal value of the business.  All are beyond the scope of this book - and all would be beyond your responsibility as a non-financial manager.  Such determinations are best left to the experts.  What's important for you is a general understanding of the discount cash flow method and its strength and weaknesses.

Table 10-2
Discounted Cash Flow Analysis of Amalgamated (12 Percent Discount Rate)

               Present Value                  Cash Flows
              (in $1,000, Rounded)       (in $1,000)

Year 1    446.5                               500
Year 2    418.5                               525
Year 3    398.7                               500
Year 4    381.6+2,734.8                 600+4,300

   Total    4,380.1



The strength of the method are numerous:

-  It recognises the time value of future cash flows.
-  It is future oriented, and estimates future cash flows in terms of what the new owner could achieve.
-  It accounts for the buyer's cost of capital.
-  It does not depend on comparisons with similar companies - which are bound to be different in various dimensions (e.g., earnings-based multiples).
-  It is based on real cash flows instead of accounting values.

The weakness of the method is that it assumes that future cash flows, including the terminal value, can be estimated with reasonable accuracy.

Discount Cash Flow to determine Intrinsic Value

http://www.credittrends.com/blog/page/2/

How to derive the intrinsic value of an asset?

1. How to derive the intrinsic value of an asset?

Discounted cash flow DCF analysis can be used to value any asset, including stocks, bonds and real estate.

The present value PV of an asset is the discounted value of all its future cash flows.

This PV is also the intrinsic value of the asset.

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2. What are the steps in DCF analysis to derive intrinsic value of a stock?

DCF analysis is predicated on the premise that a share of stock must be worth the present value of all the future cash flows it is expected to generate for the investors.

This begins by estimating what those future cash flows will be. There is tremendous potential for error here.

Once the projected cash flows are estimated, they have to be discounted back to the present in order to determine what they are worth in current dollars.

The discount rate itself is a function of the general level of interest rates in the economy and the risk of an investment.

Those who are willing to apply themselves and learn how to conduct a proper DCF analysis give themselves a distinct advantage over those who do not want to bother to learn the technique.

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3. What cash flows projections are used in a DCF analysis to calculate intrinsic value of a stock?

There is more to cash flows than dividends. The cash flows do not actually have to be paid out to the investors to be included in a DCF analysis.

The shareholders have rights to the cash flows whether or not they actually receive them. These cash flow might be reinvested in the company, but technically they belong to the shareholders. Therefore, a proper DCF analysis must include all the cash flows, whether they are paid out to investors or retained within the company and reinvested.


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4. Why is the DCF analysis the preferred method Buffett uses to calculate the intrinsic values of his stocks?

Conducting a proper DCF analysis is as much art as it is science.

However, Buffett relies on this methodology because he knows that it is the only theoretically correct way to determine what a stock is worth.

The ability to make good projections is what distinguishes Buffett from other investors. Buffett excels at this game.

Buffett finds undervalued stocks using the DCF approach. Fortunately, conducting a DCF analysis is not easy. It is also one of Buffett's favorite ways to spot undervalued stocks.

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5. What is the difference between value stocks (low price multiple e.g.low PE, low P/B, low P/CF, or P/S) and undervalued stocks?

Buffett may have a general preference for value stocks over growth stocks, but only because value stocks are more likely than growth stocks to be undervalued. It would really be more accurate to call Buffett an "undervalued" investor.

The point is that when he says he likes to buy cheap stocks, he is not talking about price multiples. Instead, he is talking about discounting cash flows to find stocks with intrinsic values that are greater than what he would ahve to pay for them in the market.

Thus, Buffett is not really looking to buy cheap stocks at all. Instead, he is looking to buy stocks cheap.

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Buffett likes to control risk. He does this primarily by avoiding companies if he thinks there is too much uncertainty about their future cash flows.

Furthermore, because he believes there is little risk in buying companies that have predictable cash flows, he feels comfortable using the so-called risk-free rate to discount their projected cash flows. More specifically, he starts with the yield on U.S. Treasury bonds and makes some adjustments to it.


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A more conservative approach would argue for the use of a higher rate - in particular, one that properly reflects the stock's market-related risk. Buffett believes he does not need to account for risk in the discount rate since he consciously avoids stocks that he considers too risky.

Analysts and academics have criticized Buffett for this. They say that by using a discount rate that does not properly reflect risk, he is more likely to erroneously conclude that an overvalued stock is undervalued. Furthermore, by ignoring companies whose cash flows are difficult to understand, he is likely to miss out on great investment opportunities. Buffett stands guilty as charged, yet his track record speaks for itself.


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10 Essential Questions to Ask When Deciding What Multiple to Pay For a Stock

Buffett has correctly pointed out that the correct way to value a business is to calculate the discounted value of all its future cash flows. The concept is simple. The application is not.

For many businesses, it is difficult to calculate this with a level of precision that has much utility.

Some businesses are sufficiently predictable that a careful business analyst can make a reasonable and useful calculation of its DCF, or what Buffett calls its intrinsic value.

Also, sometimes in periods of extreme dislocation, a business will sell at such a depressed price that you can reasonably conclude that the market price is below intrinsic value, even if the range of possible DCFs is large.

The multiple at which a stock trades is nothing more than a shorthand proxy for its DCF.

In Buffett’s 1991 letter to shareholders, he concluded that, assuming a discount rate of 10%, a business earning $1 million of free-cash and with long-term growth prospects of 6% would be worth $25 million or 25 times earnings.

A no-growth business also earning $1 million would be worth about 10 times earnings.

Business 1: $1 million / (10%-6%) = $25 million

Business 2: $ 1 million / (10%) = $10 million

As a practical matter, what types of things should you be thinking about when deciding if you are dealing with a company that deserves a multiple of 25 times earnings versus one that only deserves a multiple of ten times earnings. There are many factors to consider.

Venture capitalist Bill Gurley has written an excellent list of characteristics to consider when evaluating a company and determining what multiple to use when valuing its earnings.

You should carefully think about each of these and add them to your checklists for evaluating a business.

I’ve put Gurley’s characteristics in the form of a question.

1. Does the business have a sustainable competitive advantage (Buffett’s moat)?

2. Does the business benefit from any network effects?

3. Are the business’s revenue and earning visible and predictable?

4. Are customers locked in? Are there high switching costs?

5. Are gross margins high?

6. Is marginal profitability expected to increase or decline?

7. Is a material part of sales concentrated in a few powerful customers?

8. Is the business dependent on one or more major partners?

9. Is the business growing organically or is heavy marketing spending required for growth?

10. How fast and how much is the business expected to grow?

Written by Greg Speicher

What Does Net Present Value - NPV Mean?

What Does Net Present Value - NPV Mean?

The difference between the present value of cash inflows and the present value of cash outflows. NPV is used in capital budgeting to analyze the profitability of an investment or project.

NPV analysis is sensitive to the reliability of future cash inflows that an investment or project will yield.

Formula:

In addition to the formula, net present value can often be calculated using tables, and spreadsheets such as Microsoft Excel.

Watch: Understanding Net Present Value

Investopedia explains Net Present Value - NPV
NPV compares the value of a dollar today to the value of that same dollar in the future, taking inflation and returns into account. If the NPV of a prospective project is positive, it should be accepted. However, if NPV is negative, the project should probably be rejected because cash flows will also be negative.

For example, if a retail clothing business wants to purchase an existing store, it would first estimate the future cash flows that store would generate, and then discount those cash flows into one lump-sum present value amount, say $565,000. If the owner of the store was willing to sell his business for less than $565,000, the purchasing company would likely accept the offer as it presents a positive NPV investment. Conversely, if the owner would not sell for less than $565,000, the purchaser would not buy the store, as the investment would present a negative NPV at that time and would, therefore, reduce the overall value of the clothing company.

 http://www.investopedia.com/terms/n/npv.asp?partner=basics090211#ixzz1WtS9g5kS

Valuing an asset using DCF and PER

Value investing is theoretically simple: buy assets for less than they're worth and sell when they approach or move beyond fair value. 


What 2 methods do you use to value assets?


1)  DCF


So too are valuing assets:discount future cash flows back to today at an appropriate interest rate for the life of the asset. The discounted cash flow (DCF) model is a commonly-used tool, hammered into every finance and business student.

But DCF models quickly deteriorate when they meet a rapidly changing world. The fact that most analysts failed to consider the impact of falling US house prices on their models played a major role in triggering the global financial crisis. Worse still, the misleading precision imbues investors with unwarranted overconfidence. Too often, models are precisely wrong.





2)  Price Earnings Ratio

Other tools are available to help you avoid this error. The price-to-earnings ratio (PER) is a regularly used proxy for stock valuation but also one of the most overused and abused metrics. To make use of it you need to know when to use it and when not to.

Related:

Price-Earning Ratio 101
http://myinvestingnotes.blogspot.com/2011/03/price-earning-ratio101.html

Don't be a stockpicking monkey, mistaking skill for luck. Learn DCF and PER 101.

Don't be a stockpicking monkey
Greg Hoffman
March 21, 2011 - 12:06PM

Monkeys are great stockpickers. Had your common-or-garden variety primate randomly selected five stocks in March 2009, chances are it would now be sitting on huge capital gains, contemplating reinvesting them in bananas - by the truckload.

It's easy enough for us to see that our monkey, who now sees himself as a future fund manager, is mistaking skill for luck. What's harder for us to see is how we might be making the same mistake ourselves.

If examining your portfolio's returns over the past few years engenders in you a feeling of self-satisfaction, you're running that risk. With the sharemarket falling recently now is the time to educate yourself. Consider what follows a lesson in fire safety.


Value investing is theoretically simple: buy assets for less than they're worth and sell when they approach or move beyond fair value. So too are valuing assets: discount future cash flows back to today at an appropriate interest rate for the life of the asset. The discounted cash flow (DCF) model is a commonly-used tool, hammered into every finance and business student.

But DCF models quickly deteriorate when they meet a rapidly changing world. The fact that most analysts failed to consider the impact of falling US house prices on their models played a major role in triggering the global financial crisis. Worse still, the misleading precision imbues investors with unwarranted overconfidence. Too often, models are precisely wrong.

Other tools are available to help you avoid this error. The price-to-earnings ratio (PER) is a regularly used proxy for stock valuation but also one of the most overused and abused metrics. To make use of it you need to know when to use it and when not to.

PER 101

The PER compares the current price of a stock with the prior year's (historical) or the current year's (forecast) earnings per share (EPS). Usually the prior year's EPS is used, but be sure to check first.

Last financial year, XYZ Ltd made $8 million in net profit (or earnings). The company has 1 million shares outstanding, so it achieved earnings per share (EPS) of $8.00 ($8 million profit divided by 1 million shares). In the current year, XYZ is expected to earn $10 million; a forecast EPS of $10.00.

At the current share price of $100, the stock is therefore trading on a historic PER of 12.5 ($100/$8). Using the forecast for current year's earnings, the forward or “forecast PER” is 10 ($100/$10).

It's often said that the PER is an estimate of the number of years it'll take investors to recoup their money. Unless all profits are paid out as dividends, something that rarely persists in real life, this is incorrect.

So ignore what you might read in simplistic articles and note this down: a PER is a reflection not of what you earn from a stock, but “what investors as a group are prepared to pay for the earnings of a company”.

All things being equal, the lower the PER, the better. But the list of caveats is long and vital to understand if you're to make full use of this metric.

Quality usually comes with a price to match. It costs more, for example, to buy handcrafted leather goods from France than it does a cheap substitute from China. Stocks are no different: high quality businesses generally, and rightfully, trade on higher PERs than poorer quality businesses.

Value investors love a bargain. Indeed, they're defined by this quality. But whilst a low PER for a quality business can indicate value, it doesn't alone guarantee it. Because PERs are only a shortcut for valuation, further research is mandatory.

Likewise, a high PER doesn't ensure that a stock is expensive. A company with strong future earnings growth may justify a high PER, and may even be a bargain. A stock with temporarily depressed profits, especially if caused by a one-off event, may justifiably trade at a high PER. But for a poor quality business with little prospects for growth, a high PER is likely to be undeserved.

Common trap

There's another trap: PERs are often calculated using reported profit, especially in newspapers or on financial websites. But one-off events often distort headline profit numbers and therefore the PER. Using underlying, or “normalised”, earnings in your PER calculation is likely to give a truer picture of a stock's value.

That begs the question; what is a normal level of earnings? That's the $64 million dollar question. If you don't know how to calculate these figures for the stocks in your portfolio, now is the time to establish whether it's skill or luck that's driving your returns. And if you don't know that, history may well make a monkey of you.



Greg Hoffman is research director of The Intelligent Investor.

http://www.brisbanetimes.com.au/business/dont-be-a-stockpicking-monkey-20110321-1c32p.html

Understanding Intrinsic Value

Intrinsic Value versus Market Price

Buffett's core investment measure is finding the intrinsic value of a company and being certain the price he pays for the company is justified by that intrinsic value.  The definition of intrinsic value is the discounted value of the cash that can be taken out of a business during its remaining life.

The key secret there is that the way to calculate intrinsic value is not precise.  It's based on a lot of assumptions, and those assumptions can be easily adjusted based on anticipated interest rate.

Buffett never gives investors the intrinsic value he has calculated for a company, but he will give details in his annual reports relating to the facts that he and Munger used to determine the intrinsic value of a company.

Buffett believes Berkshire Hathaway's book value far understates its intrinsic value because many of the businesses Berkshire Hathaway controls are worth much more than their carrying value.

Also read:

Fair Valuation of Berkshire Hathaway

At the end of these 700 words you will all be able to value your business, your shares, your investment property, even your spouse.

Doing the sums is is easy, but it's still a value judgment
December 11, 2010

YOU may have heard of a discounted cash-flow valuation. You should have. It is core to life, the financial industry and everything else. But, of course, half of us haven't and the other half are too afraid to ask.

So in a mild attempt to educate you, let me take you gently through it so you'll never have to nod cluelessly again. At the end of these 700 words you will all be able to value your business, your shares, your investment property, even your spouse.

Let's start with this. What is the value of a dollar? Well it's a dollar, of course. OK. So what is the value of a dollar in a year's time? Ah, well, it's not a dollar. And this is the issue. Thanks to inflation, a dollar in a year's time is only worth about 97¢ because, by the time you get the dollar, prices will have gone up by about 3 per cent, so the dollar in a year's time will only buy you about 97¢ worth of the goods that you could buy today.

We can now use this to value a company, an asset or an individual. All you have to do is work out how much money they are going to earn and, using inflation, turn those future dollars back into today's money, add them all up, add in the value of any other assets they have and that's what they are worth.

Here's the root calculation: A dollar earned in a year's time is worth $1 divided by 1.03 (1 plus the inflation rate). That's 97¢ in today's money (97.08¢, actually). To work out the current value of a dollar earned in two years you divide by 1.03 and divide by 1.03 again. Which gives us 94.26¢. So 94.26¢ is all you would want to pay for a dollar someone is going to give you in two years' time. So to bust a bit of jargon, the net present value (NPV) of a dollar earned in two years' time, discounted at the rate of inflation, is 94.26¢.

So now let's value a company. 

• Step one: Forecast how much profit it will make each year between now and eternity. 
• Step two: Use our calculation to ''discount'' all those future profits and price them in today's money. 
• Step three: Add up all those discounted profits. 
• Step four: Add any other assets (cash and buildings). That's the current value of the company and what someone buying the company should be prepared to pay today.

So you can see that by forecasting future profits and discounting the value of future profits back to today's money you can value almost any income-producing company, asset, property, or person. You can even work out what your own net present value is. If you spend more than you earn, it's zero.

So this is what research analysts do with shares. They forecast profits, discount those profits back to today's money, add them all up, account for any other assets, divide by the number of shares on issue and come up with what a share is worth. A lot of them call that a ''target price''.

Of course, it's not quite this simple. In the real world they don't use inflation. They calculate a ''discount rate'' and the arguments over what discount rate to use are endless, but basically, rather than inflation, it is what you could have earned investing your money somewhere else. It is the opportunity lost, not the inflation cost. So if you could have put the money in a bond for 10 years and earned 5.5 per cent you'd use that instead of inflation.

So that's it. How to value a company or share. Nice concept.

But before you go out and value your spouse you should know that it's all complete bollocks. Of course it is. Because, in the end, there are so many forecasts, assumptions and subjective opinions integrated into the calculation of value that it ceases to be a science and ends up an imperfect art. A basis for the negotiation of price at best. A starting point for an argument between buyer and seller. May the best negotiator win. And that's the sharemarket.

Marcus Padley is a stockbroker with Patersons Securities and the author of sharemarket newsletter Marcus Today. For a free trial visit marcustoday. com.au

His views do not necessarily reflect the views of Patersons.


http://www.theage.com.au/business/doing-the-sums-is-is-easy-but-its-still-a-value-judgment-20101210-18swe.html

Intrinsic Value: The Right Price to Pay

A GREAT COMPANY AT A FAIR PRICE’

Nobody really knows the specific principles that Warren Buffett applies when deciding the price he will pay for a share investment. We do know that he has said on several occasions that it is better to buy a ‘great company at a fair price than a fair company at a great price’.

This tends to agree with the view of Benjamin Graham who often referred to primary and secondary stocks. He believed that, although paying too high a price for any stock was foolish, the risk was higher when the stock was of secondary grade.

PATIENCE

The other thing that Warren Buffett counsels, when deciding on investment purchases, is patience. He has said that he is prepared to wait forever to buy a stock at the right price.

 There is a seeming disparity of views between Graham and Buffett on diversification. Benjamin Graham was a firm believer, even in relation to stock purchases at bargain prices, in spreading the risk over a number of share investments. Warren Buffett, on the other hand, appears to take a different view: concentrate on just a few stocks.

WHAT WARREN BUFFETT SAYS ABOUT DIVERSIFICATION

In 1992, Buffett said that his investment strategy did not rely upon spreading his risk over a large number of stocks; he preferred to have his investments in a limited number of companies.

‘Many pundits would therefore say the [this] strategy must be riskier than that employed by more conventional investors. We disagree. We believe that a policy of portfolio concentration may well decrease risk if it raises, as it should, both the intensity with which an investor thinks about a business and the comfort-level he must feel with its economic characteristics before buying into it.’

NO REAL DIFFERENCE BETWEEN BENJAMIN GRAHAM AND WARREN BUFFETT

The differences between Graham and Buffett on stock diversification are perhaps not as wide as they might seem. Graham spoke of diversification primarily in relation to second grade stocks and it is arguable that the Buffett approach to stock selection results in the purchase of quality stocks only.

BERKSHIRE HATHAWAY HOLDINGS

In addition, consideration of Berkshire Hathaway holdings in 2002 suggests that although Buffett may not necessarily believe in diversification in the number of companies that it owns, its investments certainly cross a broad spectrum of industry areas. They include:

• Manufacturing and distribution – underwear, children’s clothing, farm equipment, shoes, razor blades, soft drinks;
• Retail – furniture, kitchenware
• Insurance
• Financial and accounting products and services
• Flight operations
• Gas pipelines
• Real estate brokerage
• Construction related industries
• Media

INTRINSIC VALUE

Both Warren Buffett and Benjamin Graham talk about the intrinsic value of a business, or a share in it.  That is, to buy a business, or a share in it, at a fair price. But, having regard to the possibility of error in calculating intrinsic value, the careful of investor should provide a margin of error by only buying the business, or shares, at a substantial discount to the intrinsic value.

Buffett is said to look for a 25 per cent discount, but who really knows?

DEFINING INTRINSIC VALUE

Buffett’s concept, in looking at intrinsic value, is that it values what can be taken out of the business. He has quoted investment guru John Burr Williams who defined value like this:

‘The value of any stock, bond or business today is determined by the cash inflows and outflows – discounted at an appropriate interest rate – that can be expected to occur during the remaining life of the asset.’ – The Theory of Investment Value.

The difference for Buffett in calculating the value of bonds and shares is that the investor knows the eventual price of the bond when it matures but has to guess the price of the share at some future date.

DISCOUNTED CASH FLOW (DCF)

This method of valuation is often referred to as the Discounted Cash Flow (DCF) valuation method, but, as Buffett has said in relation to shares, it is not easy to predict future cash flows and this is why he sticks to investment in companies that are consistent, well managed, and simple to understand. A company that is hard to understand or that changes frequently does not allow for easy prediction of future earnings and outgoings.

WHAT WARREN BUFFETT SAYS ABOUT PREDICTING FUTURE CASH FLOWS

In 1992, Warren Buffett said that:

‘Leaving question of price aside, the best business to own is one that over an extended period can employ large amounts of capital at very high rates of return. The worst company to own is one that must, or will, do the opposite – that is, consistently employ ever-greater amounts of capital at very low rates of return.’

It is well worth reading Buffet’s analogy relating DCF to a university education in his 1994 Letter to Shareholders.

So, it would seem that the intrinsic value of a share in a company relates to the DCF that can be expected from the investment. There are formulas for working out discounted cash flows and they can be complex but they give a result.

EXPLANATIONS OF DCF

The best explanation that we have read of DCF is by Lawrence A Cunningham in his outstanding book How to think like Benjamin Graham and invest like Warren Buffett.

A good online explanation is available here.

HOW WARREN BUFFET DETERMINES A FAIR PRICE

The real secret of Warren Buffett is the methods that he uses, some of which are known from his remarks, and some of which are not, that allow him to predict cash flows with some probability.

Various books about Warren Buffett give their explanations as to how he calculates the price that he is prepared to pay for a share with the desired margin of safety.

Mary Buffett and David Clarke pose a series of tests, based on past growth rates, returns on equity, book value and government bond price averages.

Robert G Hagstrom Jnr in The Warren Buffet Way gives explanatory tables of past Berkshire Hathaway purchases using a DCF model and owner earnings.

Ultimately, the investor must decide upon their own methods of arriving at the intrinsic value of a share and the margin of error that they want for themselves

www.buffettsecrets.com/price-to-pay.htm

Short cuts for finding value

Companies and shares are worth the present value of the future cash they can generate for their owners.  This is a rather simple statement, and yet in practice, valuing companies is not so straightforward.

As the famous economist John Maynard Keynes put it, it's better to be vaguely right than precisely wrong, and the better bet is to stick to a few simple valuation tools.  Here are some ways to value companies or shares:

1.  Discount cash flow method.

2.  Asset-based valuation tools.

• Price/Book Value
• Graham's Net Current Asset approach

3.  Earnings-based valuation tools.

• PE ratio

4.  Cash flow-based valuation tools

• DY
• FCF Yield

These different valuation tools each have their own strengths and weaknesses.

• The price-to-book ratio tends to work best with low-quality businesses on steep discounts.  
• The PER tends to work best with high-quality growth companies.  
• The dividend yield and free cash flow yield tend to be suited to mature businesses generating steady returns.

But in every case, you'll probably get closest to the truth by looking at all the different measures.

Also, only invest in good quality businesses.