EconBase
← All papers

Realized Stochastic Volatility Model with Skew-t Distributions for Improved Volatility and Quantile Forecasting

Makoto Takahashi, Yuta Yamauchi, Toshiaki Watanabe, Yasuhiro Omori

arXiv 24 Jan 2024 · Econometrics

arXiv:2401.13179 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed the realized stochastic volatility model, that incorporates realized volatility as an efficient proxy for latent volatility. To better capture the stylized features of financial return distributions, particularly skewness and heavy tails, we introduce three variants of skewed t-distributions, two of which incorporate skew-normal components to flexibly model asymmetry. The models are estimated using a Bayesian Markov chain Monte Carlo approach and applied to daily returns and realized volatilities from major U.S. and Japanese stock indices. Empirical results demonstrate that incorporating both realized volatility and flexible return distributions substantially improves the accuracy of volatility and tail risk forecasts.

Citation extraction

68
references
125
in-text mentions
68
distinct cited
11
self-citations
13,591
main-text words

appendix boundary found by appendix_command · 77% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Takahashi, Makoto and Omori, Yasuhiro and Watanabe, Toshiaki (2009) Estimating Stochastic Volatility Models Using Daily Returns and Realized Volatility Simultaneously self1.00053100%
2Takahashi, Makoto and Watanabe, Toshiaki and Omori, Yasuhiro (2016) Volatility and Quantile Forecasts by Realized Stochastic Volatility Models with Generalized Hyperbolic Distribution self0.9416583%
3Takahashi, Makoto and Omori, Yashuhiro and Watanabe, Toshiaki (2023) Stochastic Volatility and Realized Stochastic Volatility Models self0.8434475%
4Barndorff-Nielsen, Ole E. and Hansen, Peter Reinhard and Lunde, Asge… (2008) Designing Realized Kernels to Measure the Ex Post Variation of Equity Prices in the Presence of Noise0.84333100%
5Liu, Lily Y. and Patton, Andrew J. and Sheppard, Kevin (2015) Does Anything Beat 5-Minute RV? A Comparison of Realized Measures across Multiple Asset Classes0.84333100%
6Hansen, Peter Reinhard and Huang, Zhuo (2016) Exponential GARCH Modeling with Realized Measures of Volatility0.81142100%
7Nelson, Daniel B (1991) Conditional Heteroskedasticity in Asset Returns: A New Approach0.81142100%
8Aas, Kjersti and Haff, Ingrid Hobaek (2006) The generalized hyperbolic Skew Student's t-Distribution0.73732100%
9Fernández, Carmen and Steel, Mark FJ (1995) On Bayesian Modeling of Fat Tails and Skewness0.73732100%
10Hansen, Peter R. and Lunde, Asger (2005) A Forecast Comparison of Volatility Models: Does Anything Beat a GARCH(1,1)?0.73732100%

Showing the top 10 of 68 scored citations.