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Theory and Methods

Nonparametric Estimation of the Leverage Effect: A Trade-Off Between Robustness and Efficiency

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Pages 384-396 | Received 01 Nov 2015, Published online: 03 May 2017

References

  • Aït-Sahalia, Y., Fan, J., Laeven, R., Wang, D. C., and Yang, X. (2015), The Estimation of Continuous and Discontinuous Leverage Effects (Economics Papers), Technical Report no. 2523677, Princeton University.
  • Aït-Sahalia, Y., Fan, J., and Li, Y. (2013), “The Leverage Effect Puzzle: Disentangling Sources of Bias at High Frequency,” Journal of Financial Economics, 109, 224–249.
  • Aït-Sahalia, Y., and Jacod, J. (2012), “Analyzing the Spectrum of Asset Returns: Jump and Volatility Components in High Frequency Data,” Journal of Economic Literature, 50, 1005–1048.
  • ——— (2014), High-Frequency Financial Econometrics, Princeton, NJ: Princeton University Press.
  • Aït-Sahalia, Y., Kalnina, I., and Xiu, D. (2014), “The Idiosyncratic Volatility Puzzle: A Reassessment at High Frequency,” Technical Report, The University of Chicago.
  • Aït-Sahalia, Y., and Kimmel, R. (2007), “Maximum Likelihood Estimation of Stochastic Volatility Models,” Journal of Financial Economics, 83, 413–452.
  • Aït-Sahalia, Y., and Xiu, D. (2014), “Principal Component Analysis of High Frequency Data,” Working Paper no. 15–39, The University of Chicago.
  • Alvarez, A., Panloup, F., Pontier, M., and Savy, N. (2012), “Estimation of the Instantaneous Volatility,” Statistical Inference and Stochastic Processes, 15, 27–59.
  • Amihud, Y. (2002), “Illiquidity and Stock Returns: Cross-Section and Time Series Effects,” Journal of Financial Markets, 5, 31–56.
  • Andersen, T., Bollerslev, T., and Meddahi, N. (2005), “Correcting the Errors: Volatility Forecast Evaluation Using High Frequency Data and Realized Volatilities,” Econometrica, 73, 279–296.
  • Andersen, T., Bondarenko, O., and Gonzalez-Perez, M. T. (2015a), “Uncovering Novel Features of Equity-Index Return Dynamics via Corridor Implied Volatility,” Review of Financial Studies, 28, 2901–2945.
  • Andersen, T., Fusari, N., and Todorov, V. (2015b), “The Risk Premia Embedded in Index Options,” Journal of Financial Economics, 117, 558–584.
  • Andersen, T. G., Bollerslev, T., Diebold, F. X., and Labys, P. (2003), “Modeling and Forecasting Realized Volatility,” Econometrica, 71, 579–625.
  • Bakshi, G., Cao, C., and Chen, Z. (1997), “Empirical Performance of Alternative Option Pricing Models,” The Journal of Finance, 52, 2003–2049.
  • Bandi, F., and Renò, R. (2012), “Time-Varying Leverage Effects,” Journal of Econometrics, 12, 94–113.
  • Bandi, F. M., and Renò, R. (2011), “Nonparametric Stochastic Volatility,” Technical Report no. 1158438, Johns Hopkins University.
  • ——— (2015), “Price and Volatility Co-Jumps,” Journal of Financial Economics, 119, 107–146.
  • Barndorff-Nielsen, O. E., and Shephard, N. (2001), “Non-Gaussian Ornstein-Uhlenbeck-Based Models and Some Of Their Uses In Financial Economics,” Journal of the Royal Statistical Society, Series B, 63, 167–241.
  • ——— (2004), “Power and Bipower Variation With Stochastic Volatility and Jumps,” Journal of Financial Econometrics, 2, 1–37.
  • Bates, D. (2012), “U.S. Stock Market Crash Risk, 1926–2010,” Journal of Financial Economics, 105, 229–259.
  • ——— (2000), “Post-’87 Crash Fears in the S&P 500 Futures Option Market,” Journal of Econometrics, 94, 181–238.
  • Black, (1976), “Studies of Stock Price Volatility Changes,” in Proceedings of the 1976 Meetings of the American Statistical Association, Business and Economic Statistics (Vol. 6), pp. 177–181.
  • Bollerslev, T., Kreschmer, U., Pigorsch, C., and Tauchen, G. E. (2009), “A Discrete-Time Model for Daily S&P 500 Returns and Realized Variations: Jumps and Leverage Effects,” Journal of Econometrics, 150, 151–166.
  • Bollerslev, T., Li, S. Z., and Todorov, V. (2016), “Roughing Up Beta: Continuous vs Discontinuous Betas, and the Cross-Section of Expected Stock Returns,” Journal of Financial Economics, 120, 464–490.
  • Bollerslev, T., Litvinova, J., and Tauchen, G. (2006), “Leverage and Volatility Feedback Effects in High-Frequency Data,” Journal of Financial Econometrics, 4, 353–384.
  • Bollerslev, T., Sizova, N., and Tauchen, G. (2012), “Volatility in Equilibrium: Asymmetries and Dynamic Dependencies,” Review of Finance, 16, 31–80.
  • Broadie, M., Chernov, M., and Johannes, M. S. (2007), “Model Specification and Risk Premia: Evidence From Futures Options,” The Journal of Finance, 62, 1453–1490.
  • Carr, P., Geman, H., Madan, D. B., and Yor, M. (2003), “Stochastic Volatility for Lévy Processes,” Mathematical Finance, 13, 345–342.
  • Carr, P., and Wu, L. (2009), “Variance Risk Premiums,” Review of Financial Studies, 22, 1311–1341.
  • Chernov, M., Gallant, A. R., Ghysels, E., and Tauchen, G. T. (2003), “Alternative Models for Stock Price Dynamics,” Journal of Econometrics, 116, 225–257.
  • Christoffersen, P., Heston, S., and Jacobs, K. (2009), “The Shape and Term Structure of the Index Option Smirk: Why Multifactor Stochastic Volatility Models Work so Well,” Management Science, 55, 1914–1932.
  • Comte, F., and Renault, E. (1998), “Long Memory in Continuous-Time Stochastic Volatility Models,” Mathematical Finance, 8, 291–323.
  • Cont, R., and Tankov, P. (2004), Financial Modelling With Jump Processes, London: Chapman & Hall/CRC.
  • Durbin, J. (1954), “Errors in Variables,” Review of the International Statistical Institute, 22, 23–32.
  • Eraker, B. (2004), “Do Stock Prices and Volatility Jump? Reconciling Evidence From Spot and Option Prices,” The Journal of Finance, 59, 1367–1404.
  • Eraker, B., Johannes, M. S., and Polson, N. (2003), “The Impact of Jumps in Equity Index Volatility and Returns,” The Journal of Finance, 58, 1269–1300.
  • Harvey, A. C., and Shephard, N. (1994), “Estimation of an Asymmetric Stochastic Volatility Model for Asset Returns,” Journal of Business and Economic Statistics, 14, 429–434.
  • Hausman, J. (1978), “Specification Tests in Econometrics,” Econometrica, 46, 1251–1271.
  • Jacod, J., and Protter, P. (2012), Discretization of Processes, New York: Springer.
  • Jacod, J., and Rosenbaum, M. (2015), “Estimation of Volatility Functionals: The Case of a n Window,” in Large Deviations and Asymptotic Methods in Finance, eds. P. K. Friz, J. Gatheral, A. Gulisashvili, A. Jacquier, and J. Teichmann, Switzerland: Springer International, pp. 559–590
  • ——— (2013), “Quarticity and Other Functionals of Volatility: Efficient Estimation,” Annals of Statistics, 41, 1462–1484.
  • Jacquier, E., Polson, N. G., and Rossi, P. E. (2004), “Bayesian Analysis of Stochastic Volatility Models With Fat-Tails and Correlated Errors,” Journal of Econometrics, 122, 185–212.
  • Joshi, M. (2002), “Log-Type Models, Homogeneity of Option Prices and Convexity,” Technical Report, Melbourne University.
  • Kalnina, I. (2011), “Subsampling High Frequency Data,” Journal of Econometrics, 161, 262–283.
  • ——— (2015), “Inference for Nonparametric High-Frequency Estimators With an Application to Time Variation in Betas,” Technical Report no. 13-2015, University of Montreal.
  • Kristensen, D. (2010), “Nonparametric Filtering of the Realised Spot Volatility: A Kernel-Based Approach,” Econometric Theory, 26, 60–93.
  • Li, J., and Patton, A. (2015), “Asymptotic Inference about Predictive Accuracy Using High Frequency Data,” Technical Report no. 2290538, Duke University.
  • Li, J., and Xiu, D. (2015), “Generalized Methods of Integrated Moments for High-Frequency Data,” Econometrica, forthcoming.
  • Mencia, J., and Sentana, E. (2013), “Valuation of VIX Derivatives,” Journal of Financial Economics, 108, 367–391.
  • Nelson, D. B. (1990), “ARCH Models as Diffusion Approximations,” Journal of Econometrics, 45, 7–38.
  • ——— (1991), “Conditional Heteroskedasticity in Asset Returns: A New Approach,” Econometrica, 59, 347–370.
  • Pan, J. (2002), “The Jump-Risk Premia Implicit in Options: Evidence From an Integrated Time-Series Study,” Journal of Financial Economics, 63, 3–50.
  • Pastor, L., and Stambaugh, R. F. (2003), “Liquidity Risk and Expected Stock Returns,” Journal of Political Economy, 111, 642–685.
  • Patton, A., and Verardo, M. (2012), “Does Beta Move With News? Firm-Specific Information Flows and Learning about Profitability,” The Review of Financial Studies, 25, 2789–2839.
  • Pitt, M. K., Malik, S., and Doucet, A. (2014), “Simulated Likelihood Inference for Stochastic Volatility Models Using Continuous Particle Filtering,” Annals of the Institute of Statistical Mathematics, 66, 527–552.
  • Reiß, M., Todorov, V., and Tauchen, G. E. (2015), “Nonparametric Test for a Constant Beta Between Itô Semi-Martingales Based on High-Frequency Data,” Stochastic Processes and their Applications, forthcoming.
  • Segal, G., Shaliastovich, I., and Yaron, A. (2015), “Good and Bad Uncertainty: Macroeconomic and Financial Market Implications,” Journal of Financial Economics, 117, 369–397.
  • Shephard, N. (2005), Stochastic Volatility, New York: Oxford University Press.
  • Song, Z., and Xiu, D. (2014), “A Tale of Two Option Markets: State-Price Densities and Volatility Risk,” Journal of Econometrics, 190, 176–196.
  • Todorov, V., and Tauchen, G. E. (2011), “Volatility Jumps,” Journal of Business & Economic Statistics, 29, 356–371.
  • Vetter, M. (2012), “Estimation of Correlation for Continuous Semimartingales,” Scandinavian Journal of Statistics, 39, 757–771.
  • ——— (2015), “Estimation of Integrated Volatility of Volatility With Applications to Goodness-of-fit Testing,” Bernoulli, 21, 2393–2418.
  • Wang, D. C., and Mykland, P. A. (2014), “The Estimation of Leverage Effect With High Frequency Data,” Journal of the American Statistical Association, 109, 197–215.
  • Wu, D.-M. (1973), “Alternative Tests of Independence between Stochastic Regressor and Disturbances,” Econometrica, 41, 733–750.
  • Yu, J. (2005), “On Leverage in a Stochastic Volatility Model,” Journal of Econometrics, 127, 165–178.

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