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论文摘要

基于Copula GARCH MMBP的Monte Carlo期权定价方法

Copula GARCH MMBP based Monte Carlo option pricing method

作者:葛东娇(四川大学数学学院);文丹丹(四川大学数学学院);戴朝娟(四川大学数学学院);唐亚勇(四川大学数学学院)

Author:GE Dong-Jiao(College of Mathematics, Sichuan University);WEN Dan-Dan(College of Mathematics, Sichuan University);DAI Chao-Juan(College of Mathematics, Sichuan University);TANG Ya-Yong(College of Mathematics, Sichuan University)

收稿日期:2015-02-15          年卷(期)页码:2015,52(5):944-950

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:股权挂钩票据; Copula GARCH MMBP; Monte Carlo 方法

Key words:Equity linked note; Copula GARCH MMBP; Monte Carlo method

基金项目:国家自然科学基金数学天元基金(10726019)

中文摘要

本文将与两种指数相关的股权挂钩票据的定价问题转化为期权定价问题,提出了一种基于Copula模型的Monte Carlo期权定价方法.针对两组对数收益率序列的相关性结构,本文运用Copula GARCH 模型进行了拟合,并采用修正的极大似然估计方法对模型的参数进行了估计.作为应用,本文对汇丰银行发行的一种股权挂钩票据进行了定价和利润分析.

英文摘要

This paper transfers pricing equity linked note written on two indices into investigating option pricing problem. A Copula based Monte Carlo pricing method, which uses Copula GARCH model to fit the correlation structure between two groups of log return rates, and applies modified maximization by parts to estimate the parameters of Copula GARCH model, for options is proposed. Further the proposed algorithm is illustrated by an application to price and analyze the profit of one of equity linked notes issued by Hongkong and Shanghai Banking Corporation Limited.

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