EconBase
← All papers

A Statistical Recurrent Stochastic Volatility Model for Stock Markets

Trong-Nghia Nguyen, Minh-Ngoc Tran, David Gunawan, R. Kohn

arXiv 7 Jun 2019 · Econometrics · publishedJournal of Business and Economic Statistics (2022) · 13 citations (OpenAlex)

arXiv:1906.02884 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The Stochastic Volatility (SV) model and its variants are widely used in the financial sector while recurrent neural network (RNN) models are successfully used in many large-scale industrial applications of Deep Learning. Our article combines these two methods in a non-trivial way and proposes a model, which we call the Statistical Recurrent Stochastic Volatility (SR-SV) model, to capture the dynamics of stochastic volatility. The proposed model is able to capture complex volatility effects (e.g., non-linearity and long-memory auto-dependence) overlooked by the conventional SV models, is statistically interpretable and has an impressive out-of-sample forecast performance. These properties are carefully discussed and illustrated through extensive simulation studies and applications to five international stock index datasets: The German stock index DAX30, the Hong Kong stock index HSI50, the France market index CAC40, the US stock market index SP500 and the Canada market index TSX250. An user-friendly software package together with the examples reported in the paper are available at \url{https://github.com/vbayeslab}.

Citation extraction

66
references
107
in-text mentions
66
distinct cited
1
self-citations
13,668
main-text words

appendix boundary found by appendix_command · 78% 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
1Yu, J., Yang, Z., and Zhang, X (2006) A class of nonlinear stochastic volatility models and its implications for pricing currency options1.00073100%
2Kim, S., Shephard, N., and Chib, S (1998) Stochastic volatility: likelihood inference and comparison with ARCH models1.00053100%
3Breidt, F., Crato, N., and de Lima, P (1998) The detection and estimation of long memory in stochastic volatility0.9568488%
4Deligiannidis, G., Doucet, A., and Pitt, M. K (2018) The correlated pseudo marginal method0.7373367%
5Andrieu, C., Doucet, A., and Holenstein, R (2010) Particle Markov chain Monte Carlo methods0.73732100%
6Duan, J.-C. and Fulop, A (2015) Density-tempered marginalized Sequential Monte Carlo samplers0.73732100%
7Lo, A. W (1991) Long-term memory in stock market prices0.73732100%
8Oliva, J. B., Póczos, B., and Schneider, J. G (2017) The statistical recurrent unit0.73732100%
9Taylor, S. J (1982) Financial returns modelled by the product of two stochastic processes — a study of daily sugar prices 1961-790.73732100%
10Granger, C. W. J. and Joyeux, R (1980) An introduction to long-memory time series models and fractional differencing0.64422100%

Showing the top 10 of 66 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Generalized Autoregressive Score Trees and Forests0.40511
2Variational Inference for GARCH-family Models0.40511