Real-Time Monitoring Test for Realized Volatility
Cindy Shin-Huei Wang, Cheng Hsiao
Journal of Time Series Econometrics Volume 5, Issue 1, Pages 1–24
#002191 20131014 (published)
This paper proposes a monitoring cumulative sum of squares (CUSQ)-type test for structural breaks in real time via an autoregressive (AR) approximation framework where data generating process (DGP) is a long memory process. The limiting distribution of the monitoring test follows a Brownian bridge and is free of long memory parameters under the null hypothesis of no break. The test is easy to implement and avoids the issue of spurious breaks found for some retrospective tests for long memory process. Neither does it need to use the bootstrap procedure to find the critical values. Monte Carlo simulations appear to confirm that there exists negligible size distortion and satisfactory power performances in finite samples. The procedure is then applied to monitor the real-time pattern of realized volatilities of dollar–Deutschmark and dollar–Japanese Yen.
Keywords: CUSUM of squares tests, long memory, structural change, real-time, monitoring

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