Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 42nd ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Nov. 2010, Okayama)
Volatility Estimations under the Financial Crisis in the Japanese Market and Testing for Jumps
K. AokiY. BaradaM. TamuraK. Yasuda
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2011 Volume 2011 Pages 112-120

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Abstract
In this paper, we estimate some volatilities and analyze each value through high frequency data under financial crisis 2008. Precisely speaking, we study the asymmetric diversity of volatility fluctuation, the distribution mixture hypothesis proposed by Clark[4], prediction power of volatility and existence of jump on volatility process. As the result, 1. We observe the asymmetric diversity of volatility fluctuation. 2. Fluctuation of returns is occurred by not only volatility but also other factor. 3. When we forecast volatility, it is useful to add implied volatility as new exogenous variable in time series model. 4. We found it is necessary to formulate volatility estimation considering jump.
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© 2011 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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