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Theory and Methods

Intraday Periodic Volatility Curves

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Pages 1181-1191 | Received 27 Aug 2021, Accepted 01 Feb 2023, Published online: 16 Mar 2023

References

  • Aït-Sahalia, Y., Jacod, J., and Li, J. (2012), “Testing for Jumps in Noisy High Frequency Data,” Journal of Econometrics, 168, 207–222.
  • Andersen, T. G., and Bollerslev, T. (1997), “Intraday Periodicity and Volatility Persistence in Financial Markets,” Journal of Empirical Finance, 4, 115–158.
  • Andersen, T. G., and Bollerslev, T. (1998), “Deutsche Mark–Dollar Volatility: Intraday Activity Patterns, Macroeconomic Announcements, and Longer Run Dependencies,” Journal of Finance, 53, 219–265.
  • Andersen, T. G., Bondarenko, O., Kyle, A. S., and Obizhaeva, A. A. (2018), “Intraday Trading Invariance in the e-Mini s&p 500 Futures Market,” Working Paper.
  • Andersen, T. G., Thyrsgaard, M., and Todorov, V. (2019), “Time-Varying Periodicity in Intraday Volatility,” Journal of the American Statistical Association, 114, 1695–1707.
  • Baillie, R. T., and Bollerslev, T. (1991), “Intra-day and Inter-Market Volatility in Foreign Exchange Rates,” The Review of Economic Studies, 58, 565–585.
  • Barndorff-Nielsen, O. E., and Shephard, N. (2001), “Non-Gaussian Ornstein-Uhlenbeck-Based Models and Some of Their Uses in Financial Economics,” Journal of the Royal Statistical Society Series B, 63, 167–241.
  • Barndorff-Nielsen, O. E., and Shephard, N. (2004), “Power and Bipolar Variation with Stochastic Volatility and Jumps,” Journal of Financial Econometrics, 2, 1–37.
  • Bosq, D. (2000), Linear Processes in Function Spaces: Theory and Applications (Vol. 149), New York, NY: Springer Science & Business Media.
  • Boudt, K., Croux, C., and Laurent, S. (2011), “Robust Estimation of Intraweek Periodicity in Volatility and Jump Detection,” Journal of Empirical Finance, 18, 353–367.
  • Bowsher, C. G., and Meeks, R. (2008), “The Dynamics of Economic Functions: Modeling and Forecasting the Yield Curve,” Journal of the American Statistical Association, 103, 1419–1437.
  • Cabrera, B. L., and Schulz, F. (2017), “Forecasting Generalized Quantiles of Electricity Demand: A Functional Data Approach,” Journal of the American Statistical Association, 112, 127–136.
  • Christensen, K., Hounyo, U., and Podolskij, M. (2018), “Is the Diurnal Pattern Sufficient to Explain Intraday Variation in Volatility? A Nonparametric Assessment,” Journal of Econometrics, 205, 336–362.
  • Da, R., and Xiu, D. (2021), “When Moving-Average Models Meet High-Frequency Data: Uniform Inference on Volatility,” Econometrica, 89, 2787–2825.
  • Dovonon, P., Gonçalves, S., Hounyu, U., and Meddahi, N. (2019), “Bootstrapping High-Frequency Jump Tests,” Journal of the American Statistical Association, 114, 793–803.
  • Figueroa-López, J. E., and Mancini, C. (2019), “Optimum Thresholding Using Mean and Conditional Mean Squared Error,” Journal of Econometrics, 208, 179–210.
  • Harris, L. (1986), “A Transaction Data Study of Weekly and Intradaily Patterns in Stock Returns,” Journal of Financial Economics, 16, 99–117.
  • Hörmann, S., and Kokoszka, P. (2012), “Functional Time Series,” in Handbook of Statistics (Vol. 30, pp. 157–186), Amsterdam: Elsevier.
  • Horváth, L., and Kokoszka, P. (2012), Inference for Functional Data with Applications (Vol. 200), New York, NY: Springer Science & Business Media.
  • Horváth, L., Kokoszka, P., and Rice, G. (2014), “Testing Stationarity of Functional Time Series,” Journal of Econometrics, 179, 66–82.
  • Jacod, J., and Protter, P. (2011), Discretization of Processes, Berlin, Heidelberg: Springer-Verlag.
  • Jiao, S., Aue, A., and Ombao, H. (2021), “Functional Time Series Prediction under Partial Observation of the Future Curve,” Journal of the American Statistical Association, forthcoming.
  • Lee, S. L., and Mykland, P. A. (2008), “Jumps in Financial Markets: A New Nonparametric Test and Jump Dynamics,” Review of Financial Studies, 21, 2535–2563.
  • Li, D., Robinson, P. M., and Shang, H. L. (2020), “Long-Range Dependent Curve Time Series,” Journal of the American Statistical Association, 115, 957–971.
  • Merrick Li, Z., and Linton, O.B. (2022), “A Remedi for Microstructure Noise,” Econometrica, 90, 367–389.
  • Mancini, C. (2009), “Non-Parametric Threshold Estimation for Models with Stochastic Diffusion Coefficient and Jumps,” Scandinavian Journal of Statistics, 36, 270–296.
  • Müller, H.-G., Sen, R., and Stadtmüller, U. (2011), “Functional Data Analysis for Volatility,” Journal of Econometrics, 165, 233–245.
  • Müller, U. A., Dacorogna, M. M., Olsen, R. B., Pictet, O. V., Schwarz, M., and Morgenegg, C. (1990), “Statistical Study of Foreign Exchange Rates, Empirical Evidence of a Price Change Scaling Law, and Intraday Analysis,” Journal of Banking & Finance, 14, 1189–1208.
  • Mykland, P. A., and Zhang, L. (2008), “Inference for Volatility-Type Objects and Implications for Hedging,” Statistics and its Interface, 1, 255–278.
  • Mykland, P. A., and Zhang, L. (2012), “The Econometrics of High Frequency Data,” in Statistical Methods for Stochastic Differential Equations, eds. M. Kessler, A. Lindner, and M. Sørensen (pp. 109–190), New York: Chapman and Hall/CRC Press.
  • Mykland, P. A., and Zhang, L. (2017), “Assessment of Uncertainty in High Frequency Data: The Observed Asymptotic Variance,” Econometrica, 85, 197–231.
  • Taylor, S. J., and Xu, X. (1997), “The Incremental Volatility Information in One Million Foreign Exchange Quotations,” Journal of Empirical Finance, 4, 317–340.
  • Todorov, V. (2009), “Estimation of Continuous-Time Stochastic Volatility Models with Jumps Using High-Frequency Data,” Journal of Econometrics, 148, 131–148.
  • Wood, R. A., McInish, T. H., and Keith Ord, J. (1985), “An Investigation of Transactions Data for NYSE Stocks,” The Journal of Finance, 40, 723–739.

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