Sequential quadratic programming: Difference between revisions

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{{refimprove|date = December 2011}}
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The ''' Benjamin Graham formula''' is an [[Intrinsic value (finance)|intrinsic value]] formula proposed by investor and professor, [[Benjamin Graham]], often referred to as the "father of value investing". Published in his book, ''[[The Intelligent Investor]]'', Graham devised the formula for investors to be able to quickly determine how rationally priced their stocks were.<ref>{{cite web|title=Benjamin Graham Intrinsic Value Formula|url=http://www.joshuakennon.com/benjamin-graham-intrinsic-value-formula/|work=JOSHUA KENNON blog|publisher=Kennon & Green Press, LLC|accessdate=14 April 2012|author=JOSHUA KENNON|date=15 July 2011}}</ref>  As with any valuation formula, the final number is not designed to give a true value of a stock, but only to approximate its range of possible values.{{cn|date=January 2014}}
 
Note that Graham never intended this [[formula]] to be used to evaluate stocks.<ref>Serenity. [http://www.serenitystocks.com/benjamingrahamformula Benjamin Graham's Misquoted Intrinsic-Value and Growth-Stock Formula].</ref>
 
==Formula calculation==
In ''The Intelligent Investor'', Benjamin Graham describes a formula he used to value stocks. He disregarded complicated calculations and kept his formula simple. In his words: "Our study of the various methods has led us to suggest a foreshortened and quite simple formula for the evaluation of growth stocks, which is intended to produce figures fairly close to those resulting from the more refined mathematical calculations."
 
The formula as described by Graham in the 1962 edition of ''[[Security Analysis (book)|Security Analysis]]'', is as follows:
 
:<math>V* = EPS \times (8.5 + 2g) </math>
 
V = Intrinsic Value<BR>
EPS = Trailing Twelve Months Earnings Per Share<BR>
8.5 = P/E base for a no-growth company<BR>
g = reasonably expected 7 to 10 year growth rate
 
Where the expected annual [[economic growth|growth rate]] "should be that expected over the next seven to ten years." Graham’s formula took no account of prevailing [[interest rate]]s.
 
===Revised formula ===
He revised his formula in 1974 (Benjamin Graham, "The Decade 1965-1974: Its significance for Financial Analysts," The Renaissance of Value) as follows:
 
Graham suggested a straight forward practical tool for evaluating a stock's intrinsic value. His model represents a down-to-earth valuation approach that focuses on the key market-related and company-specific variables.
 
The Graham formula proposes to calculate a company’s intrinsic value V* as:
 
:<math>V* = \cfrac{EPS \times (8.5 + 2g) \times 4.4}{Y}</math>
 
V: Intrinsic Value<BR>
EPS: the company’s last 12-month earnings per share<BR>
8.5: the constant represents the appropriate P-E ratio for a no-growth company as proposed by Graham<BR>
g: the company’s long-term (five years) earnings growth estimate<BR>
4.4: the average yield of high-grade [[corporate bond]]s in 1962, when this model was introduced <ref>see [http://www.bloomberg.com/markets/rates-bonds/corporate-bonds/ FINRA/Bloomberg Investment Grade U.S. Corporate Bond Index], [[bloomberg.com]] for current average.</ref><BR>
Y: the current yield on AAA corporate bonds
 
==Application==
To apply this approach to a buy-sell decision, each company’s relative Graham value (RGV) can be determined by dividing the stock’s intrinsic value V* by its current price P:
 
:<math>RGV = \cfrac{V*}{P} </math>
 
An RGV of less than one indicates an overvalued stock and should not be bought, while an RGV of greater than one indicates an undervalued stock and should be bought.
 
Because of the measures it uses, difficulties may be encountered in evaluating both new and small company stocks using this model as well as any stock with inconsistent EPS growth. On one hand, it is efficient because of its simplicity but on the other, it is limited by its simplicity because the model does not work well for every stock.
 
Thus, the calculation is subjective when considered on its own. It should never be used in isolation; the [[investor]] must take into account other factors such as:
 
*Net Current Asset Value in order to determine the financial viability of the firm in question
*Current Asset Value in order to determine short-term financial viability of the firm
*[[Debt to assets ratio|Debt to equity ratio]]
*Quality of the Current Assets.
 
==References==
<!--See http://en.wikipedia.org/wiki/Wikipedia:Footnotes for an explanation of how to generate footnotes using the<ref> and </ref> tags and the<references/> tag below -->
{{reflist|2}}
 
{{DEFAULTSORT:Benjamin Graham Formula}}
[[Category:Valuation (finance)]]

Latest revision as of 10:02, 7 July 2014

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