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一类双标的型欧式买权的定价
PRICING OF A KIND OF BIVARIATE EUROPEAN CALL OPTION
【摘要】 文献[1]中讨论了双标的欧式期权的特殊情形,本文讨论一般情形:无风险资产(债券或银行存单)有依赖时间参数的利率rt,两种风险资产(股票)连续支付红利,并且分别有依赖时间参数的期望收益率μ1t,μ2 t,波动率σ1t,σ2 t,红利率q1t,q2 t以及两风险资产瞬时报酬率的相关系数ρt.在此基础上,构造了一类较为复杂的双标的型欧式买权,利用二维Girsanov定理以及鞅方法,得到买权的定价公式与避险参数Delta
【Abstract】 Special cases of Bivariate European Options were discussed in ref. .In this paper,Bivariate European Options are generalized to the case where the riskless asset (bond or bank account)earns a time-dependent interest rate rt and the two risk assets (stocks) pay dividends and have time-dependent expected rates of return μ 1t,μ 2t, volatilities σ 1t,σ 2t, dividend yields q 1t,q 2t ,and correlation coefficient ρt. Using two-dimensional Girsanov Theorem and matingale method,general pricing formula of a kind of Bivariate European Call Option which is constructed to be more complex is derived, and its hedging parameters △1,△2 are given, too.
【Key words】 Two-dimensional Girsanov theorem; Bivariate options; Brownian motion; Martingale method; Risk-Neutral Probability Measure; It formula;
- 【文献出处】 经济数学 ,Mathematics In Economics , 编辑部邮箱 ,2005年01期
- 【分类号】F224
- 【被引频次】5
- 【下载频次】104