机制转换下考虑通胀的脆弱期权定价

Pricing Vulnerable Options Regarding Inflation under Regime Switching

在机制转换框架下研究了带通胀影响的脆弱欧式期权定价模型。首先,使用消费篮子价格方程来折现股票价格和期权卖方资产价格,导出更符合实际市场的动力学方程;其次,对方程中的扩散部分采用Esscher转换建立相应的等价鞅测度;最后,利用拉普拉斯变换得到了脆弱欧式看涨期权价格的闭型解。

In this paper, we study the pricing of vulnerable European options under inflation. Firstly, we use the basket price equation to discount the stock price and the asset value of the option seller, and derive more market practical dynamics equations. Secondly, we adopt the Esscher Transform for the diffusion parts of the equations to determine an equivalent martingale measure. Finally, a closed-form solution for prospective vulnerable European options is obtained by using Laplace Transform.