Cointegration in high frequency data

نویسندگان

چکیده

In this paper, we consider a framework adapting the notion of cointegration when two asset prices are generated by driftless Itô-semimartingale featuring jumps with infinite activity, observed regularly and synchronously at high frequency. We develop regression based estimation cointegrated relations method show related consistency central limit theory there is within that framework. also provide Dickey-Fuller type residual test for null no against alternative cointegration, along its theory. Under asymptotic same as original test, so critical values can be easily tabulated in way. Finite sample indicates adequate size good power properties variety realistic configurations, outperforming Phillips-Perron tests, whose sizes distorted non ergodic time-varying variance altered price jumps. Two empirical examples consolidate Monte-Carlo evidence adapted tests rejected while not, vice versa.

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ژورنال

عنوان ژورنال: Electronic Journal of Statistics

سال: 2021

ISSN: ['1935-7524']

DOI: https://doi.org/10.1214/21-ejs1805