Monday, 7 July 2014

Benjamin Graham's Growth Valuation Formula

  • The original formula, V = EPS x (8.5 + 2g)
    • V = Intrinsic Value
    • EPS = Trailling 12Month EPS
    • 8.5 = P/E ratio for 0% growth stock
    • g = growth rate for next 7-10 years
  • The formula was revised as Graham included a required rate of return, V = EPS x (8.5 + 2g) x 4.4 / Y
    • 4.4 = What graham determined to be his minimum required rate of return. The prevailing (1962) rate on triple A corporate bonds listed on the New York Stock Exchange  of 4.4 per cent.
    • Y = AAA corporate bond rate. This can adjust the 4.4% RFR to the present.
  • Adjust EPS (Based on Jae Jun)
    • Normalized EPS - EPS shouldn't be calculated based on single 12 month period.
    • It have to be adjusted to a normalized number by ignoring one time hugre or depressed earnings based on 5 year or 10 year history (depending on the company you are looking at)
    • EPS is never really a good number on its own as it is highly prone to manipulation with modern accounting methods
      • management will never understate earnings on purpose.
      • companies may follow accounting procedures which inflates earnings, they will never go out of their way to make it lower than it is.
    • Projected EPS - use the projected EPS for a pure growth stock with exponential growth like characteristics ONLY, else the stock value will become absurdly high.
    • EPS by analysts are also always over optimistic, so by following Wall Street guidance, you’re starting off on the wrong foot.
  • Adjust Growth Rate(Based on Jae Jun)
    • The growth is a big element of the overall valuation.
    • No Growth P/E - Depending on your conservativenes, you can change 8.5 to 7 ~ 8.5 (EY 14.3% ~ 11.8%)
    • Growth rate - you could just use the analyst 5yr predictions from Yahoo or other sites.Or, a regression of the historical EPS to project the following year is a method I like to use.
    • The “2 x G” however, is quite aggressive. So I’ve recently reduced the multiplier to 1.5 instead of 2.
    • This is understandable - Graham never experienced companies with growth rates of 20-30% which is common today (There was no Amazon or Facebook in Graham's time).
  • Corporate Bond Rate
  • Final Adjusted Formula, V = EPS x (7 + 1.5g) x 4.4 / Y
  • Margin of Safety -  Warren Buffett has on occasions suggested that the correct margin of safety should be about 25 per cent and this seems a good figure to us but again it would depend upon how much confidence we had in the assumed growth rates. If we were highly confident, we might accept a smaller margin and vice versa. If less confident, then the discount figure used should be greater.
  • This formula is not the most correct or indeed the only way of working out the intrinsic value of a share. It was offered by Graham as a rule of thumb method fifty years ago. Its most appropriate use is, we would think, as a filtering and checking mechanism.
"It seems logical to me that the earnings/price ratio of stocks generally should bear a relationship to bond interest rates. Viewing the matter from another angle, I should want the Dow or Standard & Poor's to return an earnings yield of at least four-thirds that on AAA bonds to give them competitive attractiveness with bond investments." - Benjamin Graham

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2 comments:

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  2. The Benjamin Graham formula will be gotten exactly from Regression of the Discounted Earning model P=(1+g)*(((1+g)^5)-((1+r)^5)/((r-g)*(1+r)^5)+((1+g)^5/(i*(1+r)^5)
    The Benjamin graham formula is the regression of the DEM for 5yr growth and then a flat no growth perpetuity with IRR=11%

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