A Skewed GARCH-in-Mean Model: An Application to U.S. Stock Returns
AbstractIn this paper we consider a GARCH-in-Mean (GARCH-M) model based on the so-called z distribution. This distribution is capable of modeling moderate skewness and kurtosis typically encountered in financial return series, and the need to allow for skewness can be readily tested. We apply the new GARCH-M model to study the relationship between risk and return in monthly postwar U.S. stock market data. Our results indicate the presence of conditional skewness in U.S. stock returns, and, in contrast to the previous literature, we show that a positive and significant relationship between return and risk can be uncovered, once an appropriate probability distribution is employed to allow for conditional skewness
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Bibliographic InfoPaper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 469.
Date of creation: 11 Aug 2004
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Conditional skewness; GARCH-in-Mean; Risk-return tradeoff;
Find related papers by JEL classification:
- C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-10-30 (All new papers)
- NEP-ECM-2004-10-30 (Econometrics)
- NEP-ETS-2004-10-30 (Econometric Time Series)
- NEP-FIN-2004-10-30 (Finance)
- NEP-RMG-2004-10-30 (Risk Management)
Please 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.:
- Christoffersen, Peter & Heston, Steve & Jacobs, Kris, 2006.
"Option valuation with conditional skewness,"
Journal of Econometrics, Elsevier,
Elsevier, vol. 131(1-2), pages 253-284.
- Ghysels, Eric & Santa-Clara, Pedro & Valkanov, Rossen, 2005.
"There is a risk-return trade-off after all,"
Journal of Financial Economics, Elsevier,
Elsevier, vol. 76(3), pages 509-548, June.
- Eric Ghysels & Pedro Santa-Clara & Rossen Valkanov, 2003. "There is a Risk-Return Tradeoff After All," CIRANO Working Papers, CIRANO 2003s-26, CIRANO.
- Eric Ghysels & Pedro Santa-Clara & Rossen Valkanov, 2004. "There is a Risk-Return Tradeoff After All," NBER Working Papers 10913, National Bureau of Economic Research, Inc.
- Eric Ghysels & Pedro Santa-Clara & Rossen Valkanov, 2004. "There is a Risk-Return Tradeoff After All," CIRANO Working Papers, CIRANO 2004s-24, CIRANO.
- Hall, Robert E, 1988.
"Intertemporal Substitution in Consumption,"
Journal of Political Economy, University of Chicago Press,
University of Chicago Press, vol. 96(2), pages 339-57, April.
- Andersson, Jonas, 2001. "On the Normal Inverse Gaussian Stochastic Volatility Model," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 19(1), pages 44-54, January.
- Carrasco, Marine & Chen, Xiaohong, 2002. "Mixing And Moment Properties Of Various Garch And Stochastic Volatility Models," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 18(01), pages 17-39, February.
- Wooldridge, Jeffrey M., 1990. "A Unified Approach to Robust, Regression-Based Specification Tests," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 6(01), pages 17-43, March.
- Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, Cambridge University Press, vol. 34(04), pages 465-487, December.
- French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, Elsevier, vol. 19(1), pages 3-29, September.
- Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, Econometric Society, vol. 41(5), pages 867-87, September.
- Robert F. Engle & Victor K. Ng, 1991.
"Measuring and Testing the Impact of News on Volatility,"
NBER Working Papers
3681, National Bureau of Economic Research, Inc.
- Engle, Robert F & Ng, Victor K, 1993. " Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, American Finance Association, vol. 48(5), pages 1749-78, December.
- Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993.
"On the relation between the expected value and the volatility of the nominal excess return on stocks,"
Staff Report, Federal Reserve Bank of Minneapolis
157, Federal Reserve Bank of Minneapolis.
- Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. " On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, American Finance Association, vol. 48(5), pages 1779-1801, December.
- Hentschel, Ludger & Campbell, John, 1992.
"No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns,"
3220232, Harvard University Department of Economics.
- Campbell, John Y. & Hentschel, Ludger, 1992. "No news is good news *1: An asymmetric model of changing volatility in stock returns," Journal of Financial Economics, Elsevier, Elsevier, vol. 31(3), pages 281-318, June.
- John Y. Campbell & Ludger Hentschel, 1991. "No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns," NBER Working Papers 3742, National Bureau of Economic Research, Inc.
- Hansen, B.E., 1992.
"Autoregressive Conditional Density Estimation,"
RCER Working Papers
322, University of Rochester - Center for Economic Research (RCER).
- Hansen, Bruce E, 1994. "Autoregressive Conditional Density Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-30, August.
- Stefan Lundbergh & Timo Teräsvirta, 1999.
"Evaluating GARCH Models,"
Tinbergen Institute Discussion Papers
99-008/4, Tinbergen Institute.
- Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, American Finance Association, vol. 55(3), pages 1263-1295, 06.
- Matteo Pelagatti, 2007.
"Modelling good and bad volatility,"
Working Papers, UniversitÃ degli Studi di Milano-Bicocca, Dipartimento di Statistica
20071101, Università degli Studi di Milano-Bicocca, Dipartimento di Statistica.
- Pelagatti Matteo M, 2009. "Modelling Good and Bad Volatility," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, De Gruyter, vol. 13(1), pages 1-20, March.
- Riccardo Borgoni & Piero Quatto & Giorgio Somà & Daniela de Bartolo, 2007.
"A Geostatistical Approach to Define Guidelines for Radon Prone Area Identification,"
Working Papers, UniversitÃ degli Studi di Milano-Bicocca, Dipartimento di Statistica
20071102, Università degli Studi di Milano-Bicocca, Dipartimento di Statistica.
- Riccardo Borgoni & Piero Quatto & Giorgio Somà & Daniela Bartolo, 2010. "A geostatistical approach to define guidelines for radon prone area identification," Statistical Methods and Applications, Springer, Springer, vol. 19(2), pages 255-276, June.
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