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Parametric estimation of Hull-White model for stochastic volatility. (Chinese. English summary) Zbl 1374.62146

Summary: A two-factor model of stochastic volatility is established. A two-stage semi-parameter method is applied to estimate constant coefficient parameters of this model. Moreover, kernel estimator method is developed to estimate the long-term mean value function, by this method the consistency of the two-stage method and the asymptotic normality of parameters are obtained. The empirical results show that the likelihood function can be improved in the long-term mean value model rather than the constant coefficient model. Also, the model provides a good explanation for the effective policies implemented by the central bank and the government. Besides, the industries can use the above model for valuing interest-rate-derivative securities without increasing the dimension.

MSC:

62P05 Applications of statistics to actuarial sciences and financial mathematics
62G07 Density estimation
62F12 Asymptotic properties of parametric estimators
91G30 Interest rates, asset pricing, etc. (stochastic models)
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