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Triple Regime Stochastic Volatility Model with Threshold and Leverage Effects

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초록

This study considers a new stochastic volatility model, in which the sign and magnitude of stock returns play roles in explaining a substantially detailed relationship between stock returns and volatility. The proposed model allows for threshold and leverage effects, and accommodates three regimes (i.e., large negative return; mid-range, including moderate negative and positive returns; and large positive return) to better capture the time-varying aspect of the leverage effect. Applications of the proposed model on the return series of the S&P 500 Index and Microsoft Corporation suggest that the relationship between stock returns and volatility depends on the magnitude of the returns and their signs. The comparison of the deviance information criterion for various stochastic volatility models reveals a good fit of the proposed model for the data.

Abstract

This study considers a new stochastic volatility model, in which the sign and magnitude of stock returns play roles in explaining a substantially detailed relationship between stock returns and volatility. The proposed model allows for threshold and leverage effects, and accommodates three regimes (i.e., large negative return; mid-range, including moderate negative and positive returns; and large positive return) to better capture the time-varying aspect of the leverage effect. Applications of the proposed model on the return series of the S&P 500 Index and Microsoft Corporation suggest that the relationship between stock returns and volatility depends on the magnitude of the returns and their signs. The comparison of the deviance information criterion for various stochastic volatility models reveals a good fit of the proposed model for the data.

참고문헌 (43)

  1. Aït-Sahalia, Y., "The Leverage Effect Puzzle: Disentangling Sources of Bias at High Frequency", Journal of Financial Economics, 109, pp.224~249 (2013)
  2. Andersen, T. G., "Efficient Method of Moments Estimation of a Stochastic Volatility Model: A Monte Carlo Study", Journal of Econometrics, 91, pp.61~87 (1999)
  3. Andersen, T. G., "GMM Estimation of a Stochastic Volatility Model: A Monte Carlo Study", Journal of Business & Economic Statistics, 14, pp.328~352 (1996)
  4. Asai, M., "Asymmetric Multivariate Stochastic Volatility", Econometric Reviews, 25, pp.453~473 (2006)
  5. Bandi, F. M., "Time-varying Leverage Effects", Journal of Econometrics, 169, pp.94~113 (2012)
  6. Berg, A., "Deviance Information Criterion for Comparing Stochastic Volatility Models", Journal of Business & Economic Statistics, 22, pp.107~120 (2004)
  7. Celeux, G., "Deviance Information Criteria for Missing Data Models", Bayesian Analysis, 1, pp.651~674 (2006)
  8. Chan, "On the Observed-data Deviance Information Criterion for Volatility Modeling", Journal of Financial Econometrics, 14, pp.772~802 (2016)
  9. Chen, C. WS., "On a Threshold Heteroscedastic Model", International Journal of Forecasting, 22, pp.73~89 (2006)
  10. Chib, S., "Understanding the Metropolis-Hastings Algorithm", The American Statistician, 49, pp.327~335 (1995)
  11. Chib, S., "Markov Chain Monte Carlo Methods for Stochastic Volatility Models", Journal of Econometrics, 108, pp.281~316 (2002)
  12. Christensen, B. J., "The Impact of Financial Crises on the Risk-return Tradeoff and the Leverage Effect", Economic Modelling, 49, pp.407~418 (2015)
  13. Danielsson, J., "Stochastic Volatility in Asset Prices: Estimation with Simulated Maximum Likelihood", Journal of Econometrics, 64, pp.375~400 (1994)
  14. Daouk, H., "Is Unlevered Firm Volatility Asymmetric?", Journal of Empirical Finance, 18, pp.634~651 (2011)
  15. Duffie, D., "Simulated Moments Estimation of Markov Models of Asset Prices", Econometrica, 61, pp.929~952 (1993)
  16. Durbin, J., "Monte Carlo Maximum Likelihood Estimation for Non-Gaussian State Space Models", Biometrika, 84, pp.669~684 (1997)
  17. Engle, R. F., "Measuring and Testing the Impact of News on Volatility", Journal of Finance, 48, pp.1749~1778 (1993)
  18. Gallant, A. R., "Which Moments to Match?", Econometric Theory, 12, pp.657~681 (1996)
  19. Geweke, J., "Bayesian Statistics, Vol. 4", pp.169~193 (1992), Oxford University Press
  20. Glosten, L. R., "On the Relation between the Expected Value and the Volatility of Nominal Excess Returns on Stocks", Journal of Finance, 48, pp.1779~1801 (1993)
  21. Harvey, A., "Multivariate Stochastic Variance Models", The Review of Economic Studies, 61, pp.247~264 (1994)
  22. Harvey, A. C., "The Estimation of an Asymmetric Stochastic Volatility Model for Asset Returns", Journal of Business & Economic Statistics, 14, pp.429~434 (1996)
  23. Jacquier, E., "Bayesian Analysis of Stochastic Volatility Models", Journal of Business & Economic Statistics, 12, pp.69~87 (1994)
  24. Kim, S., "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models", The Review of Economic Studies, 65, pp.361~393 (1998)
  25. Linton, O., "A Nonparametric Test of a Strong Leverage Hypothesis", Journal of Econometrics, 194, pp.153~186 (2016)
  26. Melino, A., "Pricing Foreign Currency Options with Stochastic Volatility", Journal of Econometrics, 45, pp.239~265 (1990)
  27. Nelson, D. B., "Conditional Heteroskedasticity in Asset Returns: A New Approach", Econometrica, 59, pp.347~370 (1991)
  28. Patton, A. J., "Good Volatility, Bad Volatility: Signed Jumps and the Persistence of Volatility", The Review of Economics and Statistics, 94, pp.683~697 (2015)
  29. Pagan, A. R., "Alternative Models for Conditional Stock Volatility", Journal of Econometrics, 45, pp.267~290 (1990)
  30. Poon, S-H, "Forecasting Volatility in Financial Markets: A Review", Journal of Economic Literature, 41, pp.478~539 (2003)
  31. Ritter, C., "Facilitating the Gibbs Sampler: The Gibbs Stopper and the Griddy-Gibbs Sampler", Journal of the American Statistical Association, 87, pp.861~868 (1992)
  32. Sandmann, G., "Estimation of Stochastic Volatility Models Via Monte Carlo Maximum Likelihood", Journal of Econometrics, 87, pp.271~301 (1998)
  33. Smith, D. R., "Asymmetry in Stochastic Volatility Models: Threshold or Correlation", Studies in Nonlinear Dynamics & Econometrics, 13(3) (2009)
  34. So, M. K. P., "A Threshold Stochastic Volatility Model", Journal of Forecasting, 21, pp.473~500 (2002)
  35. So, M. K. P, "A Bayesian Threshold Nonlinearity Test for Financial Time Series", Journal of Forecasting, 24, pp.61~75 (2005)
  36. Sørensen, M., "Prediction-based Estimating Functions", The Econometrics Journal, 3, pp.123~147 (2000)
  37. Spiegelhalter, D. J., "Bayesian Measures of Model Complexity and Fit (with discussion)", Journal of Royal Statistical Society, Series B, 64, pp.583~639 (2002)
  38. Tierney, L., "Markov Chains for Exploring Posterior Distributions", The Annals of Statistics, 22, pp.1701~1728 (1994)
  39. Wang, D. C., "The Estimation of Leverage Effect with High Frequency Data", Journal of the American Statistical Association, 109, pp.197~215 (2014)
  40. Wu, X-Y, "A Triple-threshold Leverage Stochastic Volatility Model", Studies in Nonlinear Dynamics & Econometrics, 19(4), pp.483~500 (2014)
  41. A Threshold Stochastic Volatility Model with Realized Volatility, "Xu, D.", University of Waterloo, ~ (2010)
  42. Yu, J., "On Leverage in a Stochastic Volatility Model", Journal of Econometrics, 127, pp.165~178 (2005)
  43. Yu, J., "A Semiparametric Stochastic Volatility Model", Journal of Econometrics, 167, pp.473~482 (2012)

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