A class of nonlinear stochastic volatility models and its implications on pricing currency options

A class of stochastic volatility (SV) models is proposed by applying the Box–Cox transformation to the volatility equation. This class of nonlinear SV (N-SV) models encompasses all standard SV models, including the well-known lognormal (LN) SV model. It allows to empirically compare and test all sta...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: YU, Jun, YANG, Zhenlin, ZHANG, Xibin
التنسيق: text
اللغة:English
منشور في: Institutional Knowledge at Singapore Management University 2006
الموضوعات:
الوصول للمادة أونلاين:https://ink.library.smu.edu.sg/soe_research/197
https://doi.org/10.1016/j.csda.2006.08.024
الوسوم: إضافة وسم
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المؤسسة: Singapore Management University
اللغة: English
الوصف
الملخص:A class of stochastic volatility (SV) models is proposed by applying the Box–Cox transformation to the volatility equation. This class of nonlinear SV (N-SV) models encompasses all standard SV models, including the well-known lognormal (LN) SV model. It allows to empirically compare and test all standard specifications in a very convenient way and provides a measure of the degree of departure from the classical models. A likelihood-based technique is developed for analyzing the model. Daily dollar/pound exchange rate data provide some evidence against LN model and strong evidence against all the other classical specifications. An efficient algorithm is proposed to study the economic importance of the proposed model on pricing currency options.