Estimation of the Stochastic Volatility Model by the Empirical Characteristic Function Method
The stochastic volatility model has no closed form for its likelihood and hence the maximum likelihood estimation method is difficult to implement. However, it can be shown that the model has a known characteristic function. As a consequence, the model is estimable via the empirical characteristic f...
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| المؤلفون الرئيسيون: | , , |
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| التنسيق: | text |
| اللغة: | English |
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Institutional Knowledge at Singapore Management University
2002
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| الوصول للمادة أونلاين: | https://ink.library.smu.edu.sg/soe_research/507 https://ink.library.smu.edu.sg/context/soe_research/article/1506/viewcontent/YuANZJS.pdf |
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| المؤسسة: | Singapore Management University |
| اللغة: | English |
| الملخص: | The stochastic volatility model has no closed form for its likelihood and hence the maximum likelihood estimation method is difficult to implement. However, it can be shown that the model has a known characteristic function. As a consequence, the model is estimable via the empirical characteristic function. In this paper, the characteristic function of the model is derived and the estimation procedure is discussed. An application is considered for daily returns of Australian/New Zealand dollar exchange rate. Model checking suggests that the stochastic volatility model together with the empirical characteristic function estimates fit the data well. |
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