Estimation of Leverage Effect: Kernel Function and Efficiency

References

• Aït-Sahalia, Y., Fan, J., Laeven, R. J. A., Wang, C. D., and Yang, X. (2017), “Estimation of the Continuous and Discontinuous Leverage Effects,” Journal of the American Statistical Association, 112, 1744–1758. DOI: 10.1080/01621459.2016.1240082.
   PubMed Web of Science ®Google Scholar
• Aït-Sahalia, Y., and Jacod, J. (2014), High Frequency Financial Econometrics, Hoboken, NJ: Princeton University Press.
   Google Scholar
• Aït-Sahalia, Y., and Xiu, D. (2019), “A Hausman Test for the Presence of Market Microstructure Noise in High Frequency Data,” Journal of Econometrics, 211, 176–205. DOI: 10.1016/j.jeconom.2018.12.013.
   Web of Science ®Google Scholar
• Andersen, T. G., Bollerslev, T., Diebold, F. X., and Ebens, H. (2001), “The Distribution of Realized Stock Return Volatility,” Journal of Financial Economics, 61, 43–76. DOI: 10.1016/S0304-405X(01)00055-1.
   Web of Science ®Google Scholar
• Andersen, T. G., Bondarenko, O., and Gonzalez-Perez, M. T. (2015), “Exploring Return Dynamics via Corridor Implied Volatility,” The Review of Financial Studies, 28, 2902–2945. DOI: 10.1093/rfs/hhv033.
   Web of Science ®Google Scholar
• Ball, C. A., and Roma, A. (1994), “Stochastic Volatility Option Pricing,” Journal of Financial and Quantitative Analysis, 29, 589–607. DOI: 10.2307/2331111.
   Web of Science ®Google Scholar
• Bandi, F. M., Kolokolov, A., Pirino, D., and Renò, R. (2020), “Zeros,” Management Science, 66, 3466–3479. DOI: 10.1287/mnsc.2019.3527.
   Web of Science ®Google Scholar
• Bandi, F. M., and Renò, R. (2012), “Time-Varying Leverage Effects,” Journal of Econometrics, 169, 94–113. DOI: 10.1016/j.jeconom.2012.01.010.
   Web of Science ®Google Scholar
• Barges, A. (1963), The Effect of capital Structure on the Cost of Capital, Hoboken, NJ: Prentice-Hall.
   Google Scholar
• Black, F. (1976a), “Studies of Stock Market Volatility Changes,” in 1976 Proceedings of the American Statistical Association Business and Economic Statistics Section.
   Google Scholar
• Black, F. (1976b), “Studies of Stock Price Volatility Changes,” in Proceedings of the 1976 Meetings of the American Statistical Association, Business and Economics Statistics Section, pp. 177–181.
   Google Scholar
• 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. DOI: 10.1016/j.jfineco.2016.02.001.
   Web of Science ®Google Scholar
• Campbell, J. Y., and Hentschel, L. (1992), “No News is Good News: An Asymmetricmodel of Changing Volatility in Stock Returns,” Journal of Financial Economics, 31, 281–331. DOI: 10.1016/0304-405X(92)90037-X.
   Web of Science ®Google Scholar
• Christie, A. A. (1982), “The Stochastic Behavior of Common Stock Variances: Value, Leverage and Interest Rate Effects,” Journal of Financial Economics, 10, 407–432. DOI: 10.1016/0304-405X(82)90018-6.
   Web of Science ®Google Scholar
• Delattre, S., and Jacod, J. (1997), “A Central Limit Theorem for Normalized Functions of the Increments of a Diffusion Process, in the Presence of Round-off Errors,” Bernoulli, 3, 1–28. DOI: 10.2307/3318650.
   Web of Science ®Google Scholar
• Faff, R. W., Brooks, R. D., and Kee, H. Y. (2002), “New Evidence on the Impact of Financial Leverage on Beta Risk: A Time-Series Approach,” The North American Journal of Economics and Finance, 13, 1–20. DOI: 10.1016/S1062-9408(02)00059-1.
   Google Scholar
• French, K. R., Schwert, G. W., and Stambaugh, R. F. (1987), “Expected Stock Returns and Volatility,” Journal of Financial Economics, 19, 3–29. DOI: 10.1016/0304-405X(87)90026-2.
   Web of Science ®Google Scholar
• Hamada, R. S. (1972), “The Effect of the Firm’s Capital Structure on the Systematic Risk of Common Stocks,” Journal of Finance, 27, 435–452. DOI: 10.1111/j.1540-6261.1972.tb00971.x.
   Web of Science ®Google Scholar
• Heston, S. L. (1993), “A Closed-form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options,” Review of Financial Studies, 6, 327–343. DOI: 10.1093/rfs/6.2.327.
   Web of Science ®Google Scholar
• Jacod, J., and Protter, P. (2011), Discretization of Processes, Berlin: Springer.
   Google Scholar
• Jacod, J., and Rosenbaum, M. (2013), “Quarticity and other Functionals of Volatility: Efficient Estimation,” The Annals of Statistics, 41, 1462–1484. DOI: 10.1214/13-AOS1115.
   Web of Science ®Google Scholar
• 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, J. Teichmann, pp. 559–590, Cham: Springer.
   Google Scholar
• Jacod, J., and Todorov, V. (2010), “Do Price and Volatility Jump Together?” Annals of Applied Probability, 20, 1425–1469.
   Web of Science ®Google Scholar
• Kalnina, I., and Xiu, D. (2017), “Nonparametric Estimation of the Leverage Effect using Information from Derivatives Markets,” Journal of the American Statistical Association, 112, 384–396. DOI: 10.1080/01621459.2016.1141687.
   Web of Science ®Google Scholar
• Korteweg, A. (2010), “The Net Benefits to Leverage,” Journal of Finance, 65, 2137–2170. DOI: 10.1111/j.1540-6261.2010.01612.x.
   Web of Science ®Google Scholar
• Li, J., Liu, Y., and Xiu, D. (2019), “Efficient Estimation of Integrated Volatility Functionals via Multiscale Jackknife,” The Annals of Statistics, 47, 156–176. DOI: 10.1214/18-AOS1684.
   Web of Science ®Google Scholar
• Li, J., Todorov, V., and Tauchen, G. (2017), “Adaptive Estimation of Continuous-Time Regression Models using High-Frequency Data,” Journal of Econometrics, 200, 36–47. DOI: 10.1016/j.jeconom.2017.01.010.
   Web of Science ®Google Scholar
• Li, J., and Xiu, D. (2016), “Generalized Method of Integrated Moments for High-Frequency Data,” Econometrica, 84, 1613–1633. DOI: 10.3982/ECTA12306.
   Web of Science ®Google Scholar
• Li, Y., and Mykland, P. A. (2007), “Are Volatility Estimators Robust with Respect to Modeling Assumptions?” Bernoulli, 13, 601–622. DOI: 10.3150/07-BEJ6067.
   Web of Science ®Google Scholar
• Li, Y., and Mykland, P. A. (2015), “Rounding Errors and Volatility Estimation,” Journal of Financial Econometrics, 13, 478–504. DOI: 10.1093/jjfinec/nbu005.
   Web of Science ®Google Scholar
• Marston, F., and Perry, S. (1996), “Implied Penalties for Financial Leverage: Theory versus Empirical Evidence,” Quarterly Journal of Business and Economics, 35, 77–97.
   Google Scholar
• Modigliani, F., and Miller, M. H. (1958), “The Cost of Capital, Corporation Finance and the Theory of Investment,” The American Economic Review, 48, 261–297.
   Web of Science ®Google Scholar
• Modigliani, F., and Miller, M. H. (1963), “Corporate Income Taxes and the Cost of Capital: A Correction,” The American Economic Review, 53, 433–443.
   Web of Science ®Google Scholar
• Phillips, P. C., and Yu, J. (2007), “Information Loss in Volatility Measurement with Flat Price Trading,” Working Paper.
   Google Scholar
• Reiß, M., Todorov, V., and Tauchen, G. (2015), “Nonparametric Test for a Constant Beta between Ito Semi-martingales based on High-Frequency Data,” Stochastic Processes and their Applications, 125, 2955–2988. DOI: 10.1016/j.spa.2015.02.008.
   Web of Science ®Google Scholar
• Rosenbaum, M. (2009), “Integrated Volatility and Round-Off Error,” Bernoulli, 15, 687–720. DOI: 10.3150/08-BEJ170.
   Web of Science ®Google Scholar
• Stein, E. M., and Stein, J. C. (1991), “Stock Price Distributions with Stochastic Volatility: An Analytic Approach,” The Review of Financial Studies, 4, 727–752. DOI: 10.1093/rfs/4.4.727.
   Web of Science ®Google Scholar
• Vetter, M. (2015), “Estimation of Integrated Volatility of Volatility with Applications to Goodness-of-Fit Testing,” Bernoulli, 21, 2393–2418. DOI: 10.3150/14-BEJ648.
   Web of Science ®Google Scholar
• Wang, D. C., and Mykland, P. A. (2014), “The Estimation of Leverage Effect with High-Frequency Data,” Journal of the American Statistical Associations, 109, 197–215. DOI: 10.1080/01621459.2013.864189.
   Web of Science ®Google Scholar
• Yang, X. (2020), “Time-Invariant Restrictions of Volatility Functionals: Efficient Estimation and Specification Tests,” Journal of Econometrics, 215, 486–516. DOI: 10.1016/j.jeconom.2019.10.003.
   Web of Science ®Google Scholar