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Matrix-based Prediction Approach for Intraday Instantaneous Volatility Vector

Sung Hoon Choi, Donggyu Kim

arXiv 5 Mar 2024 · Econometrics · publishedJournal of Business and Economic Statistics (2025) · 1 citations (OpenAlex)

arXiv:2403.02591 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we introduce a novel method for predicting intraday instantaneous volatility based on Ito semimartingale models using high-frequency financial data. Several studies have highlighted stylized volatility time series features, such as interday auto-regressive dynamics and the intraday U-shaped pattern. To accommodate these volatility features, we propose an interday-by-intraday instantaneous volatility matrix process that can be decomposed into low-rank conditional expected instantaneous volatility and noise matrices. To predict the low-rank conditional expected instantaneous volatility matrix, we propose the Two-sIde Projected-PCA (TIP-PCA) procedure. We establish asymptotic properties of the proposed estimators and conduct a simulation study to assess the finite sample performance of the proposed prediction method. Finally, we apply the TIP-PCA method to an out-of-sample instantaneous volatility vector prediction study using high-frequency data from the S&P 500 index and 11 sector index funds.

Citation extraction

56
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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
1Figueroa-López, J. E. and B. Wu (2024) Kernel estimation of spot volatility with microstructure noise using pre-averaging1.00064100%
2Fan, J., Y. Liao, and W. Wang (2016) b): Projected principal component analysis in factor models0.9285380%
3Corsi, F (2009) A simple approximate long-memory model of realized volatility0.92843100%
4Ahn, S. C. and A. R. Horenstein (2013) Eigenvalue ratio test for the number of factors0.73732100%
5Cho, J., D. Kim, and K. Rohe (2017) Asymptotic theory for estimating the singular vectors and values of a partially-observed low rank matrix with noise0.73732100%
6Zhang, C., Y. Zhang, M. Cucuringu, and Z. Qian (2024) Volatility forecasting with machine learning and intraday commonality0.73732100%
7Admati, A. R. and P. Pfleiderer (1988) A theory of intraday patterns: Volume and price variability0.64422100%
8Andersen, T. G. and T. Bollerslev (1997) Intraday periodicity and volatility persistence in financial markets0.64422100%
9Andersen, T. G., M. Thyrsgaard, and V. Todorov (2019) Time-varying periodicity in intraday volatility0.64422100%
10Fan, J. and Y. Wang (2008) Spot volatility estimation for high-frequency data0.64422100%

Showing the top 10 of 57 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
1Low-Rank Structured Nonparametric Prediction of Instantaneous Volatility1.00053