Financial econometrics and big data: A survey of volatility estimators and tests for the presence of jumps and co-jumps

Arpita Mukherjee, Weijia Peng, Norman R. Swanson, Xiye Yang

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In recent years, the field of financial econometrics has seen tremendous gains in the amount of data available for use in modeling and prediction. Much of this data is very high frequency, and even “tick-based,” and hence falls into the category of what might be termed “big data.” The availability of such data, particularly that available at high frequency on an intra-day basis, has spurred numerous theoretical advances in the areas of volatility/risk estimation and modeling. In this chapter, we discuss key such advances, beginning with a survey of numerous nonparametric estimators of integrated volatility. Thereafter, we discuss testing for jumps using said estimators. Finally, we discuss recent advances in testing for co-jumps. Such co-jumps are important for a number of reasons. For example, the presence of co-jumps, in contexts where data has been partitioned into continuous and discontinuous (jump) components, is indicative of (near) instantaneous transmission of financial shocks across different sectors and companies in the markets; and hence represents a type of systemic risk. Additionally, the presence of co-jumps across sectors, say, suggests that if jumps can be predicted in one sector, then such predictions may have useful information for modeling variables such as returns and volatility in another sector. As an illustration of the methods discussed in this chapter, we carry out an empirical analysis of DOW and NASDAQ stock price returns.

Original languageEnglish (US)
Title of host publicationHandbook of Statistics
EditorsHrishikesh D. Vinod, C.R. Rao
PublisherElsevier B.V.
Pages3-59
Number of pages57
ISBN (Print)9780128202500
DOIs
StatePublished - 2020

Publication series

NameHandbook of Statistics
Volume42
ISSN (Print)0169-7161

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All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

Keywords

  • Big data
  • Co-jumps
  • Continuous time model
  • Financial econometrics
  • High-frequency data
  • Integrated volatility
  • Jumps
  • Nonparametric estimator

Cite this

Mukherjee, A., Peng, W., Swanson, N. R., & Yang, X. (2020). Financial econometrics and big data: A survey of volatility estimators and tests for the presence of jumps and co-jumps. In H. D. Vinod, & C. R. Rao (Eds.), Handbook of Statistics (pp. 3-59). (Handbook of Statistics; Vol. 42). Elsevier B.V.. https://doi.org/10.1016/bs.host.2018.11.006