Proof That Properly Discounted Present Values of Assets Vibrate Randomly
AbstractEven the best investors seem to find it hard to do better than the comprehensive common-stock averages, or better on the average than random selection among stocks of comparable variability. Examination of historical samples of percentage changes in a stock's price show that, when these relative price changes are properly adjusted for expected dividends paid out, they are more or less indistinguishable from white noise, or, at the least, their expected percentage movements constitute a driftless random walk (or random walk with mean drift specifiable in terms of an interest factor appropriate to the stock's variability or riskiness). The present contribution shows that such observable patterns can be deduced rigorously from a model which hypothesizes that a stock's present price is set at the expected discounted value of its future dividends, where the future dividends are supposed to be random variables generated according to any general (but known) stochastic process. This fundamental theorem follows by an easy superposition applied to the 1965 Samuelson theorem that properly anticipated futures prices fluctuate randomly -- i.e., constitute a martingale sequence, or a generalized martingale with specifiable mean drift. Examples demonstrate that even when the economy is not free to wander randomly, intelligent speculation is able to whiten the spectrum of observed stock-price changes. A subset of investors might have better information or modes of analysis and get above average gains in the random-walk model; and the model's underlying probabilities could be shaped by fundamentalists' economic forces.
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Bibliographic InfoArticle provided by The RAND Corporation in its journal Bell Journal of Economics.
Volume (Year): 4 (1973)
Issue (Month): 2 (Autumn)
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- Lucy Ackert & William Hunter, 2001.
"An Empirical Examination of the Price-Dividend Relation with Dividend Management,"
Journal of Financial Services Research,
Springer, vol. 19(2), pages 115-129, April.
- Lucy F. Ackert & William C. Hunter, 2000. "An empirical examination of the price-dividend relation with dividend management," Working Paper Series WP-00-22, Federal Reserve Bank of Chicago.
- Ehnts, Dirk & Carrión Álvarez, Miguel, 2013. "The theory of reflexivity: A non-stochastic randomness theory for business schools only?," IPE Working Papers 28/2013, Berlin School of Economics and Law, Institute for International Political Economy (IPE).
- Andrea Gamba & Nicola Fusari, 2009.
"Valuing Modularity as a Real Option,"
INFORMS, vol. 55(11), pages 1877-1896, November.
- Jessica A. Wachter & Missaka Warusawitharana, 2006.
"Predictable returns and asset allocation: Should a skeptical investor time the market?,"
2006 Meeting Papers
22, Society for Economic Dynamics.
- Wachter, Jessica A. & Warusawitharana, Missaka, 2009. "Predictable returns and asset allocation: Should a skeptical investor time the market?," Journal of Econometrics, Elsevier, vol. 148(2), pages 162-178, February.
- Jessica A. Wachter & Missaka Warusawitharana, 2007. "Predictable Returns and Asset Allocation: Should a Skeptical Investor Time the Market?," NBER Working Papers 13165, National Bureau of Economic Research, Inc.
- Brandouy, Olivier & Delahaye, Jean-Paul & Ma, Lin & Zenil, Hector, 2014. "Algorithmic complexity of financial motions," Research in International Business and Finance, Elsevier, vol. 30(C), pages 336-347.
- Efficient-market hypothesis in Wikipedia (English)
- Usuario:Lnegro/prueba3 in Wikipedia (Spanish)
- Principles of Finance/Section 1/Chapter 7/Efficient-Market Hypothesis in Wikibooks (English)
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