Kelly Criterion based strategies for value investing


Kelly criterion is a very simple formula that returns a percentage value for the size of bets as edge divided by odds. It essentially tells you the best bet size for you to realize maximum returns after n rounds. The original formula is suitable for betting and gambling scenarios. Variations of the criterion have been applied successfully in many areas including as a money management sytem. Below is a look at the use and limitations of the criterion for money management:

Stock Selection

Applying Kelly criterion to stock selection boils down to coming up with estimates for Payoff (P), Win% (W), and Loss% (L) in the expanded form of the Kelly criterion: 

(P*W - L)/P.

Value investors can attempt to estimate the edge using Fundamental Analysis - given that the vast majority of the money invested in the stock market goes into blind indexing schemes and unproven stock selection methods, fundamental analysis can result in an edge, as studying company reports including Annual Reports (10K) and Quarterly Reports (10Q) can unearth misconceptions in the marketplace that can result in a significant margin-of-safety. For example, say a company XYZ is trading at $30 and you have come up with an average Fair Value Estimate (FVE) of $50.  The Payoff (P) in this scenario is 50/30 = 1.67. The probability of winning (W) is an estimate that you have to come up with based on how confident you are on your fundamental analysis. In our example, if we take the estimate as 0.5, the formula becomes:

 (1.67 * 0.5 – 0.5)/1.67 = 16.67%.

The value indicates that to maximize returns after n bets, one should invest one-sixth of the money in XYZ. On the other hand, if the FVE is $25 and your confidence in the analysis is the same (0.5), the formula yields -10%. So, one should not invest in XYZ.

The main benefit of using Kelly criterion for stock selection is that it forces investors to think in terms of payoff probabilities thereby allowing them to shy away from high-risk or low-reward opportunities. One disadvantage with the criterion is that the idea with the formula is optimizing returns when doing sequential bets, as in a gambling situation. But, value investing involves selection of multiple companies at a time and as such there is a mismatch – the formula has limited scientific value for stock selection and so investors should also look at other methods to arrive at their final stock selection decision.

Diversification:

One of the classic value investor dilemmas is coming up with a number for how many stocks one should optimally own in the portfolio. Kelly criterion can be used to come up with a value for this number, if you know your average edge and odds of winning – just plug-in these values into the formula to get a percentage rate.   

Coming up with your average edge and odds of winning is easier said than done. One approach is to look at your historic trades to derive these numbers, based on your past behavior. The obvious assumption is that future behavior will parallel the average of your past behaviors. Below is a look at the steps to come up with this number:

  1. Calculate your historic payoff (P): From the list of your previous trades, sum up all dividends, interest, and total value of your stock sales. Divide this value by the sum of your cost basis of all your trades.
  2. Calculate your historic winning probability (W): From the list of your previous trades, divide the number of trades that yielded a positive return including dividends by the total number of trades.
  3. Apply the numbers to the formula (P*W - L)/P to come up with a percentage value. For example, if the criterion returns 2%, then you should take 50 different positions at 2% each.

The criterion looks at your historic performance to come up with an optimal value on how much your diversification should be. The main advantage with this formula is that you can come up with an absolute number for the number of stocks you should own. There are however many limitations to the approach:

  1. Although the criterion yields an absolute number, the fact that the size of each position should be the same is a limitation. It is highly unlikely that you have the same conviction on all your stock picks.
  2. The criterion assumes your historic behavior can be projected into the future. In the real world, this is not true – investors either get better at stock picking over a period of time or they give up and outsource money management.

The criterion can return a zero or negative value, if your historic returns have been poor. In this scenario, the criterion is useful only as a warning that a change in investment approach is necessary. 

Stock Trading:

Stock Traders are always on the look out for automated methods that generates stock selections, holding period, exit criteria, and position sizing. Kelly criterion is a useful method to determine position sizing based on your historic trading pattern. The diversification steps above can be applied to come up with the position size you should be taking. Here again, the main advantage with the criterion is that you get an absolute number. Again, the criterion has several limitations:

  1. The scientific method applies only when you do sequential bets. That is you take just one position at a time.
  2. The criterion assumes your historic trading behavior can be projected into the future. In the real world, this may not be true.

The criterion can return a zero or negative value, if you are a poor stock trader. In this case, the criterion is useful only as a warning that a change in your trading approach is necessary.

No comments :

Labels

401k ( 15 ) Abad Turtle Beach ( 1 ) Abrams Capital Management ( 5 ) Acoustic Electric Guitars ( 1 ) Acoustic Guitars ( 1 ) ACT ( 1 ) Activist ( 4 ) Address Change ( 2 ) Advanced Placement ( 4 ) air asia ( 2 ) airlines ( 2 ) Akre Capital Management ( 18 ) Alex Roepers ( 5 ) AP ( 4 ) apartments ( 2 ) Appaloosa ( 15 ) ARIUS ( 1 ) Arlington Value Capital ( 3 ) Atlantic Investment Management ( 5 ) Ayemenem ( 1 ) Bangalore ( 3 ) Bangkok ( 2 ) Bannerghatta National Park ( 1 ) barbuda ( 2 ) Battery Park ( 1 ) Baupost ( 2 ) Baupost Group ( 17 ) bay area ( 2 ) BDCs ( 3 ) Benjamin Graham ( 2 ) Benjamin Graham Model ( 2 ) Berijam Lake ( 2 ) Berkshire Hathaway ( 35 ) best sites ( 9 ) Bill & Melinda Gates Foundation ( 41 ) Bill Ackman ( 19 ) Bill Gates ( 40 ) Blue Ridge Capital ( 16 ) Blum Capital Partners ( 12 ) books ( 4 ) Boone Pickens ( 2 ) BP Capital Management ( 2 ) Brave Warrior ( 3 ) Brave Warrior Advisors ( 16 ) british honduras ( 2 ) Bruce Berkowitz ( 19 ) Bruce Fund ( 38 ) Camcorders ( 3 ) canada ( 4 ) cancun ( 3 ) CANROYs ( 7 ) Cantillon ( 12 ) carl icahn ( 9 ) Carl Ichan ( 8 ) casino ( 3 ) Casio ( 2 ) CBRE ( 2 ) CEF ( 2 ) Charles Akre ( 15 ) Charlie Munger ( 40 ) Chase Coleman ( 16 ) Chou Associates ( 29 ) Christmas gifts ( 7 ) Christopher H. Browne ( 7 ) Chuck Akre ( 13 ) Cisco ( 2 ) Class Action Settlements ( 2 ) CLEP ( 1 ) Coatue Management ( 28 ) Cochin ( 2 ) coin collecting ( 266 ) collectibles ( 266 ) Consumer Product Reviews ( 29 ) cook islands ( 2 ) coonoor ( 2 ) Covered Calls ( 2 ) credai ( 4 ) Daily Journal ( 37 ) Dalal Street ( 8 ) Dan Loeb ( 10 ) DAT ( 1 ) David Abrams ( 5 ) David Einhorn ( 22 ) David Swensen ( 17 ) David Tepper ( 15 ) David Winters ( 15 ) DCF ( 2 ) Digital Piano ( 3 ) Dinakar Singh ( 20 ) Donald Yacktman ( 10 ) dry bulk shipping ( 2 ) Duquesne ( 34 ) Education ( 37 ) Edward Lampert ( 21 ) Egerton Capital ( 39 ) Egypt ( 3 ) Elementary Education ( 10 ) Elementary School Textbooks ( 5 ) eReaders ( 2 ) Eric Mindich ( 13 ) ESL Investments ( 14 ) ESPP ( 6 ) ETF ( 2 ) ETN ( 2 ) Eton Park ( 13 ) Everyday Musings ( 58 ) Exam Prep ( 7 ) Exiting the rat race - how to? ( 19 ) EXPLORE ( 1 ) Fair Value Estimates ( 4 ) Fairfax Financial ( 4 ) Fairfax Financial Holdings ( 14 ) Fairholme ( 19 ) Fairpointe ( 28 ) Family Office ( 18 ) FD Laddering ( 1 ) Financial Independence ( 93 ) Fisher Asset Management ( 10 ) Flash Camcorders ( 3 ) flat ( 4 ) flats ( 2 ) Flip ( 3 ) Francis Chou ( 29 ) free ( 17 ) frugal ( 3 ) Frugal Living ( 34 ) Fund Holdings ( 961 ) futures ( 2 ) FVE ( 2 ) gambling ( 3 ) garmin ( 2 ) Genting ( 2 ) george soros ( 27 ) giveaway ( 15 ) Glenn Greenberg ( 20 ) Glenview Capital ( 14 ) GMAT ( 1 ) Google ( 2 ) Gotham Asset Management ( 7 ) gps ( 5 ) GRE ( 1 ) Greenlight Capital ( 22 ) Guitars ( 3 ) Half Marathon ( 2 ) Hawaii ( 2 ) Hedge Funds ( 1154 ) HELOC ( 1 ) High School Education ( 7 ) High School Textbooks ( 6 ) HOA ( 3 ) hobby ( 17 ) holiday shopping ( 7 ) Holidays ( 3 ) Holyland ( 11 ) Home Improvement ( 2 ) home ownership ( 5 ) Homes ( 18 ) Homeschool ( 18 ) Houses ( 2 ) Housing ( 3 ) Hykon ( 2 ) Ian Cumming ( 15 ) Icahn Enterprises ( 6 ) india real estate ( 5 ) Infinuvo ( 6 ) Insurance ( 3 ) invesco ( 17 ) investing strategies ( 3 ) Investment Portfolio ( 96 ) Investment Research ( 10 ) Investments ( 7 ) iRobot ( 5 ) Irving Kahn ( 13 ) israel ( 5 ) Jason Maynard ( 10 ) Jefferies ( 2 ) Jeffrey Bruce ( 39 ) Jeffrey Ubben ( 23 ) Jerusalem ( 2 ) Jim Chanos ( 20 ) Joel Greenblatt ( 7 ) John Armitage ( 40 ) John Griffin ( 16 ) John Paulson ( 17 ) Joho Capital ( 19 ) Jordan ( 3 ) Joseph Steinberg ( 9 ) Julian Robertson ( 4 ) Kahn Brothers ( 14 ) Kakkanad ( 4 ) Kanyakumari ( 2 ) Kawai ( 2 ) Ken Fisher ( 10 ) kerala real estate ( 5 ) Kids ( 49 ) Kids Yamaha ( 3 ) Kindle ( 2 ) kochi ( 8 ) Kodaikanal ( 2 ) Korg ( 2 ) Kraft ( 2 ) Kuala Lumpur ( 2 ) KWA ( 2 ) Kynikos ( 20 ) laptop ( 5 ) Larry Robbins ( 14 ) Las Vegas ( 2 ) Leon Cooperman ( 30 ) Leucadia ( 2 ) Leucadia National ( 13 ) Lone Pine Capital ( 9 ) long ( 6 ) long call ( 2 ) long puts ( 3 ) Lou Simpson ( 15 ) LSAT ( 1 ) Mahabalipuram ( 2 ) Malaysia ( 3 ) Marathon ( 2 ) Mark McGoldrick ( 10 ) Markel ( 23 ) Mason Hawkins ( 4 ) MCAT ( 1 ) Melinda Gates ( 31 ) memorabilia ( 266 ) MFP Investors ( 37 ) Michael Dell ( 22 ) Michael Price ( 40 ) Middle School Education ( 4 ) Middle School Textbooks ( 3 ) Mini Notebook ( 3 ) MODUS ( 1 ) Mohnish Pabrai ( 22 ) mortgage ( 2 ) Mount Kellett ( 10 ) MSD Capital ( 22 ) Music ( 6 ) Mutual Funds ( 8 ) mysore ( 2 ) Nelson Peltz ( 13 ) Netbook ( 4 ) Notebook ( 3 ) numismatics ( 266 ) O-Duster ( 1 ) Oahu ( 2 ) offers ( 2 ) Ole Andreas Halvorsen ( 10 ) Omega Advisors ( 29 ) online tax ( 4 ) ooty ( 2 ) Options ( 4 ) Pabrai Fund ( 17 ) passive income ( 7 ) pattaya ( 2 ) Paulson & Company ( 7 ) Paulson and Company ( 9 ) PEG ( 2 ) Pershing Square ( 19 ) Phil Fisher ( 5 ) philately ( 283 ) Philippe Laffont ( 28 ) Piano ( 9 ) PLAN Test ( 1 ) portfolio ( 4 ) Prem Watsa ( 17 ) product reviews ( 13 ) Property Taxes ( 2 ) PSAT ( 1 ) R2I ( 24 ) R2I Finances ( 3 ) R2I Housing ( 5 ) Raising Kids ( 41 ) Rat Race ( 15 ) RBS Partners ( 19 ) reading ( 5 ) real estate ( 6 ) Reducing Expenses ( 2 ) REIT ( 3 ) Retirement Portfolio ( 9 ) Reviews ( 81 ) Richard C. Blum ( 12 ) Robert Bruce ( 39 ) Robert Karr ( 19 ) Robotic Vacuum ( 4 ) Roland ( 2 ) Roomba ( 10 ) schooling ( 2 ) Sears ( 12 ) seeking alpha ( 2 ) Services - Reviews ( 33 ) Seth Klarman ( 19 ) Shipping ( 5 ) Shopping ( 3 ) short ( 5 ) short calls ( 2 ) short put ( 2 ) short puts ( 2 ) short selling ( 13 ) Ski ( 5 ) Sled ( 4 ) Solar Stocks ( 13 ) Soros Fund Management ( 14 ) Southeastern Asset Management ( 4 ) Southwest ( 2 ) spin-offs ( 2 ) SQ Advisors ( 15 ) stamp collecting ( 283 ) Stanley Druckenmiller ( 33 ) Statue of Liberty ( 2 ) Stephen Mandel ( 9 ) Stock Analysis ( 84 ) Stock Investments ( 4 ) Stock Portfolio Updates ( 6 ) stocks ( 3 ) summer ( 2 ) tax ( 7 ) TaxAct ( 3 ) TaxCut ( 1 ) Teacher's Editions ( 5 ) Technology ( 5 ) Test Prep ( 11 ) Thailand ( 3 ) Thekkady ( 2 ) theme park ( 2 ) Third Point ( 10 ) Thomas Gayner ( 40 ) Thyra Zerhusen ( 29 ) Tiger Cub ( 34 ) Tiger Global ( 17 ) Tiger Management ( 13 ) Time Square ( 2 ) TOEFL ( 1 ) TPG-Axon ( 20 ) Travel ( 278 ) Travel Reviews ( 82 ) Trian Fund Holdings ( 9 ) trip report ( 21 ) TurboTax ( 3 ) Tweedy Browne ( 10 ) Vacations ( 28 ) value investing ( 25 ) ValueAct ( 9 ) ValueAct Holdings ( 6 ) Vancouver ( 2 ) Video ( 3 ) Viking Global ( 10 ) Wallace Weitz ( 14 ) Warren Buffett ( 32 ) Wayanad ( 4 ) Weitz Investment Management ( 13 ) wilbur ross ( 17 ) William Von Mueffling ( 12 ) Wintergreen Advisors ( 15 ) Yacktman Asset Management ( 10 ) Yale Endowment ( 17 ) Yale University ( 7 ) Yamaha ( 7 ) YDP ( 1 ) YPG ( 1 )