宋子豪, 韩苗. 基于机制转换跳扩散模型的外汇挂钩的相关期权定价[J]. 应用概率统计, 2023, 39(4): 547-560. DOI: 10.3969/j.issn.1001-4268.2023.04.006
引用本文: 宋子豪, 韩苗. 基于机制转换跳扩散模型的外汇挂钩的相关期权定价[J]. 应用概率统计, 2023, 39(4): 547-560. DOI: 10.3969/j.issn.1001-4268.2023.04.006
SONG Zihao, HAN Miao. Correlation Options Pricing with Exchange Rate Risk under Regime-Switching Jump-Diffusion Models[J]. Chinese Journal of Applied Probability and Statistics, 2023, 39(4): 547-560. DOI: 10.3969/j.issn.1001-4268.2023.04.006
Citation: SONG Zihao, HAN Miao. Correlation Options Pricing with Exchange Rate Risk under Regime-Switching Jump-Diffusion Models[J]. Chinese Journal of Applied Probability and Statistics, 2023, 39(4): 547-560. DOI: 10.3969/j.issn.1001-4268.2023.04.006

基于机制转换跳扩散模型的外汇挂钩的相关期权定价

Correlation Options Pricing with Exchange Rate Risk under Regime-Switching Jump-Diffusion Models

  • 摘要: 本文研究了机制转换跳扩散模型下外汇挂钩的相关期权的定价问题. 在风险中性概率测度下,假设汇率服从机制转换均值回复模型、资产价格服从机制转换跳扩散模型,通过测度变换和傅里叶变换方法, 推导出了外汇挂钩相关期权的定价公式.运用快速傅里叶变换算法求得期权价值的数值解,并比较分析了不同模型以及一些重要参数对外汇挂钩相关期权价值的影响情况.

     

    Abstract: The pricing problem of correlation options with exchange rate risk under the regime-switching jump-diffusion model is studied. Under the risk neutral measure, it is assumed that the exchange rate follows the regime-switching mean reversion model and the asset prices follow the regime-switching jump-diffusion models. The pricing formula of the correlation options with exchange rate risk is derived by using the measure transform and Fourier transform method. Moreover, the numerical results of option value are provided by the fast Fourier transform algorithm, and the effects of different models and some important parameters on the value of correlation options with exchange rate risk are analyzed.

     

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