What Can Rational Investors Do About Excessive Volatility and Sentiment Fluctuations?
Abstract
Our objective is to understand the trading strategy that would allow an investor to take advantage of “excessive” stock price volatility and “sentiment” fluctuations. We construct a general equilibrium model of sentiment. In it, there are two classes of agents and stock prices are excessively volatile because one class is overconfident about a public signal. As a result, this class of irrational agents changes its expectations too often, sometimes being excessively optimistic, sometimes being excessively pessimistic. We determine and analyze the trading strategy of the rational investors who are not overconfident about the signal. We find that because irrational traders introduce an additional source of risk, rational investors reduce the proportion of wealth invested into equity except when they are extremely optimistic about future growth. Moreover, their optimal portfolio strategy is based not just on a current price divergence but also on a model of irrational behavior and a prediction concerning the speed of convergence. Thus, the portfolio strategy includes a protection in case there is a deviation from that prediction. We find that long maturity bonds are an essential accompaniment of equity investment, as they serve to hedge this “sentiment risk.” Even though rational investors find it beneficial to trade on their belief that the market is excessively volatile, the answer to the question posed in the title is: “There is little that rational investors can do optimally to exploit, and hence, eliminate excessive volatility, except in the very long run.”Download Info
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.Bibliographic Info
Paper provided by Swiss Finance Institute in its series Swiss Finance Institute Research Paper Series with number 06-19.Length: 47 pages
Date of creation: Oct 2005
Date of revision:
Handle: RePEc:chf:rpseri:rp0619
Contact details of provider:
Web page: http://www.SwissFinanceInstitute.ch
More information through EDIRC
Related research
Keywords: Bayesian behavior; irrational behavior; financial-market equilibrium; excess volatility; risk premia; noise traders; survival.;Other versions of this item:
- Bernard Dumas & Alexander Kurshev & Raman Uppal, 2005. "What Can Rational Investors Do About Excessive Volatility and Sentiment Fluctuations?," NBER Working Papers 11803, National Bureau of Economic Research, Inc.
- Dumas, Bernard J & Kurshev, Alexander & Uppal, Raman, 2005. "What Can Rational Investors Do About Excessive Volatility and Sentiment Fluctuations?," CEPR Discussion Papers 5367, C.E.P.R. Discussion Papers.
- C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
- D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
- D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Michael Gallmeyer, . "Beliefs and Volatility," GSIA Working Papers 2000-E42, Carnegie Mellon University, Tepper School of Business.
- Flavin, Marjorie A, 1983. "Excess Volatility in the Financial Markets: A Reassessment of the Empirical Evidence," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 929-56, December.
- Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
- Brennan, Michael J. & Xia, Yihong, 2001. "Stock price volatility and equity premium," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 249-283, April.
- De Long, J Bradford, et al, 1990.
" Positive Feedback Investment Strategies and Destabilizing Rational Speculation,"
Journal of Finance,
American Finance Association, vol. 45(2), pages 379-95, June.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1989. "Positive Feedback Investment Strategies and Destabilizing Rational Speculation," NBER Working Papers 2880, National Bureau of Economic Research, Inc.
- Lintner, John, 1969. "The Aggregation of Investor's Diverse Judgments and Preferences in Purely Competitive Security Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 4(04), pages 347-400, December.
- Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
- Harrison Hong & Jeremy C. Stein, 1999.
"A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets,"
Journal of Finance,
American Finance Association, vol. 54(6), pages 2143-2184, December.
- Harrison Hong & Jeremy C. Stein, 1997. "A Unified Theory of Underreaction, Momentum Trading and Overreaction in Asset Markets," NBER Working Papers 6324, National Bureau of Economic Research, Inc.
- De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990.
"Noise Trader Risk in Financial Markets,"
Journal of Political Economy,
University of Chicago Press, vol. 98(4), pages 703-38, August.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, . "Noise Trader Risk in Financial Markets," J. Bradford De Long's Working Papers _124, University of California at Berkeley, Economics Department.
- De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990. "Noise Trader Risk in Financial Markets," Scholarly Articles 3725552, Harvard University Department of Economics.
- Abel, A.B., 1990.
"Asset Prices Under Habit Formation And Catching Up With The Joneses,"
Weiss Center Working Papers
1-90, Wharton School - Weiss Center for International Financial Research.
- Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
- Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 01-90, Wharton School Rodney L. White Center for Financial Research.
- Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 1-90, Wharton School Rodney L. White Center for Financial Research.
- A. Abel, 2010. "Asset prices under habit formation and catching up with the Jones," Levine's Working Paper Archive 1395, David K. Levine.
- Andrew B. Abel, 1991. "Asset Prices under Habit Formation and Catching up with the Joneses," NBER Working Papers 3279, National Bureau of Economic Research, Inc.
- Bullard, James & Duffy, John, 2001.
"Learning And Excess Volatility,"
Macroeconomic Dynamics,
Cambridge University Press, vol. 5(02), pages 272-302, April.
- James Bullard & John Duffy, 1999. "Learning and Excess Volatility," Computing in Economics and Finance 1999 224, Society for Computational Economics.
- James Bullard & John Duffy, 1998. "Learning and excess volatility," Working Papers 1998-016, Federal Reserve Bank of St. Louis.
- Biais, Bruno & Bossaerts, Peter, 1998. "Asset Prices and Trading Volume in a Beauty Contest," Review of Economic Studies, Wiley Blackwell, vol. 65(2), pages 307-40, April.
- Kenneth D. West, 1988.
"Dividend Innovations and Stock Price Volatility,"
NBER Working Papers
1833, National Bureau of Economic Research, Inc.
- West, Kenneth D, 1988. "Dividend Innovations and Stock Price Volatility," Econometrica, Econometric Society, vol. 56(1), pages 37-61, January.
- Campbell, John Y & Shiller, Robert J, 1988.
" Stock Prices, Earnings, and Expected Dividends,"
Journal of Finance,
American Finance Association, vol. 43(3), pages 661-76, July.
- John Y. Campbell & Robert J. Shiller, 1989. "Stock Prices, Earnings and Expected Dividends," NBER Working Papers 2511, National Bureau of Economic Research, Inc.
- Campbell, John & Shiller, Robert, 1988. "Stock Prices, Earnings, and Expected Dividends," Scholarly Articles 3224293, Harvard University Department of Economics.
- Campbell, J.Y. & Shiller, R.J., 1988. "Stock Prices, Earnings And Expected Dividends," Papers 334, Princeton, Department of Economics - Econometric Research Program.
- John Y. Campbell & Robert J. Shiller, 1988. "Stock Prices, Earnings and Expected Dividends," Cowles Foundation Discussion Papers 858, Cowles Foundation for Research in Economics, Yale University.
- R. C. Merton, 1970.
"Optimum Consumption and Portfolio Rules in a Continuous-time Model,"
Working papers
58, Massachusetts Institute of Technology (MIT), Department of Economics.
- Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
- Elyès Jouini & Clotilde Napp, 2003.
"Consensus consumer and intertemporal asset pricing with heterogeneous beliefs,"
Finance
0312001, EconWPA.
- Clotilde Napp & Elyès Jouini, 2007. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Post-Print halshs-00152348, HAL.
- Jouini, Elyès & Napp, Clotilde, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," Open Access publications from Université Paris-Dauphine urn:hdl:123456789/78, Université Paris-Dauphine.
- Kent Daniel & David Hirshleifer & Avanidhar Subrahmanyam, 1998. "Investor Psychology and Security Market Under- and Overreactions," Journal of Finance, American Finance Association, vol. 53(6), pages 1839-1885, December.
- Froot, Kenneth A. & Frankel, Jeffrey A., 1988.
"Forward Discount Bias: Is It an Exchange Risk Premium?,"
Department of Economics, Working Paper Series
qt5w65g4zg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Froot, Kenneth A & Frankel, Jeffrey A, 1989. "Forward Discount Bias: Is It an Exchange Risk Premium?," The Quarterly Journal of Economics, MIT Press, vol. 104(1), pages 139-61, February.
- Kenneth A. Froot and Jeffrey A. Frankel., 1988. "Forward Discount Bias: Is It an Exchange Risk Premium?," Economics Working Papers 8874, University of California at Berkeley.
- Lior Menzly & Tano Santos & Pietro Veronesi, 2004. "Understanding Predictability," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 1-47, February.
- Grossman, Sanford J & Stiglitz, Joseph E, 1980.
"On the Impossibility of Informationally Efficient Markets,"
American Economic Review,
American Economic Association, vol. 70(3), pages 393-408, June.
- Sanford J Grossman & Joseph E Stiglitz, 1997. "On the Impossibility of Informationally Efficient Markets," Levine's Working Paper Archive 1908, David K. Levine.
- Leonid Kogan & Stephen A. Ross & Jiang Wang & Mark M. Westerfield, 2006.
"The Price Impact and Survival of Irrational Traders,"
Journal of Finance,
American Finance Association, vol. 61(1), pages 195-229, 02.
- Leonid Kogan & Stephen Ross & Jiang Wang & Mark Westerfield, 2003. "The Price Impact and Survival of Irrational Traders," NBER Working Papers 9434, National Bureau of Economic Research, Inc.
- Kogan, Leonid & Ross, Stephen & Wang, Jiang & Westerfield, Mark, 2003. "The Price Impact and Survival of Irrational Traders," Working papers 4293-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Shiller, Robert J, 1981.
"Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?,"
American Economic Review,
American Economic Association, vol. 71(3), pages 421-36, June.
- Robert J. Shiller, 1980. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," NBER Working Papers 0456, National Bureau of Economic Research, Inc.
- Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1998.
"Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good To Be True?,"
NBER Working Papers
6354, National Bureau of Economic Research, Inc.
- Pok-sang Lam & Stephen G. Cecchetti & Nelson C. Mark, 2000. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good to Be True?," American Economic Review, American Economic Association, vol. 90(4), pages 787-805, September.
- Duffie, Darrell & Garleanu, Nicolae & Pedersen, Lasse Heje, 2002. "Securities lending, shorting, and pricing," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 307-339.
- Harrison, J Michael & Kreps, David M, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, MIT Press, vol. 92(2), pages 323-36, May.
- Michael Gallmeyer & Burton Hollifield, . "An Examination of Heterogeneous Beliefs with a Short Sale Constraint," GSIA Working Papers 2002-E2, Carnegie Mellon University, Tepper School of Business.
- Kandel, Eugene & Pearson, Neil D, 1995. "Differential Interpretation of Public Signals and Trade in Speculative Markets," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 831-72, August.
- Tony Berrada, 2003. "Bounded Rationality and Asset Pricing," Swiss Finance Institute Research Paper Series 06-07, Swiss Finance Institute, revised Jun 2006.
- Wang, Jiang, 1993. "A Model of Intertemporal Asset Prices under Asymmetric Information," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 249-82, April.
- Kleidon, Allan W, 1986. "Variance Bounds Tests and Stock Price Valuation Models," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 953-1001, October.
- Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
- Ravi Bansal & Amir Yaron, 2004.
"Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles,"
Journal of Finance,
American Finance Association, vol. 59(4), pages 1481-1509, 08.
- Ravi Bansal & Amir Yaron, 2000. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," NBER Working Papers 8059, National Bureau of Economic Research, Inc.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1988.
"The Survival of Noise Traders in Financial Markets,"
NBER Working Papers
2715, National Bureau of Economic Research, Inc.
- De Long, J Bradford, et al, 1991. "The Survival of Noise Traders in Financial Markets," The Journal of Business, University of Chicago Press, vol. 64(1), pages 1-19, January.
- De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1991. "The Survival of Noise Traders in Financial Markets," Scholarly Articles 3725470, Harvard University Department of Economics.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann,, . "The Survival of Noise Traders in Financial Markets," J. Bradford De Long's Working Papers _123, University of California at Berkeley, Economics Department.
- Gollier, Christian, 2003. "Who Should we Believe? Collective Risk-Taking Decisions with Heterogeneous Beliefs," IDEI Working Papers 201, Institut d'Économie Industrielle (IDEI), Toulouse.
- Andrea Buraschi & Alexei Jiltsov, 2006. "Model Uncertainty and Option Markets with Heterogeneous Beliefs," Journal of Finance, American Finance Association, vol. 61(6), pages 2841-2897, December.
- Kenneth D. West, 1989.
"Bubbles, Fads, and Stock Price Volatility Tests: A Partial Evaluation,"
NBER Working Papers
2574, National Bureau of Economic Research, Inc.
- West, Kenneth D, 1988. " Bubbles, Fads and Stock Price Volatility Tests: A Partial Evaluation," Journal of Finance, American Finance Association, vol. 43(3), pages 639-56, July.
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
- Nicholas Barberis & Andrei Shleifer & Robert W. Vishny, 1997.
"A Model of Investor Sentiment,"
NBER Working Papers
5926, National Bureau of Economic Research, Inc.
- Barberis, Nicholas & Shleifer, Andrei & Vishny, Robert, 1998. "A model of investor sentiment," Journal of Financial Economics, Elsevier, vol. 49(3), pages 307-343, September.
- LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-74, May.
- Veronesi, Pietro, 1999. "Stock Market Overreaction to Bad News in Good Times: A Rational Expectations Equilibrium Model," Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 975-1007.
- Harris, Milton & Raviv, Artur, 1993. "Differences of Opinion Make a Horse Race," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 473-506.
- Timmermann, Allan, 1996. "Excess Volatility and Predictability of Stock Prices in Autoregressive Dividend Models with Learning," Review of Economic Studies, Wiley Blackwell, vol. 63(4), pages 523-57, October.
- Franklin Allen & Stephen Morris & Hyun Song Shin, 2006. "Beauty Contests and Iterated Expectations in Asset Markets," Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 719-752.
- Timmermann, Allan G, 1993. "How Learning in Financial Markets Generates Excess Volatility and Predictability in Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1135-45, November.
- Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-43.
- Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
- Robert B. Barsky & J. Bradford De Long, 1992.
"Why Does the Stock Market Fluctuate?,"
NBER Working Papers
3995, National Bureau of Economic Research, Inc.
- Barsky, Robert B & De Long, J Bradford, 1993. "Why Does the Stock Market Fluctuate?," The Quarterly Journal of Economics, MIT Press, vol. 108(2), pages 291-311, May.
- Cochrane, John H., 1991.
"Volatility tests and efficient markets : A review essay,"
Journal of Monetary Economics,
Elsevier, vol. 27(3), pages 463-485, June.
- John H. Cochrane, 1992. "Volatility Tests and Efficient Markets: A Review Essay," NBER Working Papers 3591, National Bureau of Economic Research, Inc.
- Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Wei Xiong & Hongjun Yan & Review Financial, 2007.
"Heterogeneous Expectations and Bond Markets,"
Yale School of Management Working Papers
amz2614, Yale School of Management, revised 01 Jun 2009.
- Wei Xiong & Hongjun Yan, 2010. "Heterogeneous Expectations and Bond Markets," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1433-1466, April.
- Wei Xiong & Hongjun Yan, 2006. "Heterogeneous Expectations and Bond Markets," NBER Working Papers 12781, National Bureau of Economic Research, Inc.
- Bertrand BLANCHETON (GREThA UMR CNRS 5113) & Yves JEGOUREL (LAREFI), 2009. "Sovereign wealth funds: toward a new state capitalism? (In French)," Cahiers du GREThA 2009-04, Groupe de Recherche en Economie Théorique et Appliquée.
- Crystal Lin & Hamid Rahman & Kenneth Yung, 2009. "Investor Sentiment and REIT Returns," The Journal of Real Estate Finance and Economics, Springer, vol. 39(4), pages 450-471, November.
- A. A. Brown, 2009. "Heterogeneous Beliefs with Partial Observations," Papers 0907.4950, arXiv.org.
Lists
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:chf:rpseri:rp0619For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marilyn Barja).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.

