Didenko, Alexander and Dubovikov, Michael and Poutko, Boris (2015): Forecasting Coherent Volatility Breakouts. Published in: Bulletin of Financial University , Vol. 85, No. 1 (March 2015): pp. 30-36.
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Abstract
The paper develops an algorithm for making long-term (up to three months ahead) predictions of volatility reversals based on long memory properties of financial time series. The approach for computing fractal dimension using sequence of the minimal covers with decreasing scale is used to decompose volatility into two dynamic components: specific and structural. We introduce two separate models for both, based on different principles and capable of catching long uptrends in volatility. To test statistical significance of its abilities we introduce several estimators of conditional and unconditional probabilities of reversals in observed and predicted dynamic components of volatility. Our results could be used for forecasting points of market transition to an unstable state.
Item Type: | MPRA Paper |
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Original Title: | Forecasting Coherent Volatility Breakouts |
English Title: | Forecasting Coherent Volatility Breakouts |
Language: | English |
Keywords: | stock market; price risk; fractal dimension; market crash; ARCH-GARCH; range-based volatility models; multi-scale volatility; volatility reversals; technical analysis. |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C49 - Other C - Mathematical and Quantitative Methods > C5 - Econometric Modeling C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C58 - Financial Econometrics |
Item ID: | 63708 |
Depositing User: | Alexander Didenko |
Date Deposited: | 28 Apr 2015 06:06 |
Last Modified: | 26 Sep 2019 22:54 |
References: | 1. Dubovikov M. M., Starchenko N. V., Dubo vikov M. S. Dimension of the minimal cover and fractal analysis of time series. Physica A: Statistical Mechanics and its Applications. 2004, vol. 339, no 3-4, pp. 591-608. 2. Bachelier L. Théorie de la spéculation. 1900. 3. Osborne M. F. Brownian motion in the stock market. Operations Research. INFORMS, 1959, vol. 7, no 2, pp. 145-173. 4. Markowitz H. Portfolio selection. The Journal of Finance. Wiley Online Library, 1952. vol. 7, no 1, pp. 77-91. 5. Markowitz H. Portfolio Selection: Efficient Diversification of Investments. John Wiley & Sons, Inc., 1959. 6. Sharpe W. F. JSTOR: The Journal of Business, vol. 39, no. 1 (Jan., 1966), pp. 119-138 // Journal of Business. 1966. 7. Black F., Scholes M. The Pricing of Options and Corporate Liabilities. The Journal of Political Economy. 1973. vol. 81, no 3, pp. 637-654. 8. Fama E. F. The behavior of stock-market prices. Journal of Business. JSTOR, 1965, pp. 34-105. 9. Mandelbrot B. B. Stable Paretian random functions and the multiplicative variation of income. Econometrics. JSTOR, 1961. pp. 517-543. 10. Mandelbrot B. B. The Stable Paretian Income Near Two. International Economic Review. 1963, vol. 4, no 1, pp. 111-115. 11. Engle R. F. Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica. JSTOR, 1982. pp. 987-1007. 12. Bollerslev T. Generalized autoregressive conditional heteroskedasticity // Journal of Econometrics. Elsevier, 1986, vol. 31, no 3. pp. 307-327. 13. Nelson D. B. Conditional heteroskedasticity in asset returns: A new approach. Econo metrica. JSTOR, 1991, pp. 347-370. 14. Guillaume D. M. et al. From the bird's eye to the microscope: A survey of new stylized facts of the intra-daily foreign exchange markets. Finance and stochastics. Springer, 1997. vol. 1, no 2, pp.95-129. 15. Müller U. A. et al. Volatilities of different time resolutions — Analyzing the dynamics of market components. Journal of Empirical Finance. 1997, no 4, pp. 213-239. 16. Dubovikov M. M., Starchenko N. V., Dubovikov M. S. Dimension of the minimal cover and fractal analysis of time series. Physica A: Statistical Mechanics and its Applications. 2004, vol. 339, no 3-4, pp. 591-608. 17. Dubovikov M. M., Starchenko N. V. Ekonofizika i fraktalńyi analiz finansovykh vremennykh riadov [Econophysics and fractal analysis of financial time series]. Uspekhi Fizicheskikh Nauk — Advances in Physical Sciences, 2011, vol. 181, no. 7, p. 779. (In Russ.) 18. Putko, Boris & Didenko, Alexander & Dubovikov, Mikhail, 2014. "The model of volatility of the exchange rate (RUR/USD), based on the fractal characteristics of time series," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 36(4), pages 79-87. 19. Achelis S. B. Technical Analysis from A to Z. Irwin Professional Publishing, 1995. 20. Raftopoulos S. Zigzag Validity.TECHNICAL ANALYSIS OF STOCKS AND COMMODITIES-MAGAZINE EDITION. TECHNICAL ANALYSIS, INC, 2002, vol. 20, no 8. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/63708 |