英文标题：
《Subdiffusive fractional Brownian motion regime for pricing currency
options under transaction costs》
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作者：
Foad Shokrollahi
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最新提交年份：
2017
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英文摘要：
A new framework for pricing the European currency option is developed in the case where the spot exchange rate fellows a time-changed fractional Brownian motion. An analytic formula for pricing European foreign currency option is proposed by a mean self-financing delta-hedging argument in a discrete time setting. The minimal price of a currency option under transaction costs is obtained as time-step $\\Delta t=\\left(\\frac{t^{\\beta-1}}{\\Gamma(\\beta)}\\right)^{-1}\\left(\\frac{2}{\\pi}\\right)^{\\frac{1}{2H}}\\left(\\frac{\\alpha}{\\sigma}\\right)^{\\frac{1}{H}}$ , which can be used as the actual price of an option. In addition, we also show that time-step and long-range dependence have a significant impact on option pricing.
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中文摘要：
在即期汇率服从时变分数布朗运动的情况下，提出了一种新的欧洲货币期权定价框架。在离散时间条件下，利用平均自筹资金增量套期保值论证，提出了一个欧洲外汇期权定价的解析公式。交易成本下货币期权的最小价格为时间步长$\\ Delta t=\\ left（\\ frac{t^{\\beta-1}}{\\Gamma（\\ beta}}\\right）^{-1}\\left（\\ frac{2}{\\pi}\\right）^{\\frac{1}{2H}}\\left（\\ frac{\\alpha}{\\sigma}\\right）^{\\frac{1}{H}}}}$，可以使用作为期权的实际价格。此外，我们还发现时间步长和长期依赖性对期权定价有显著影响。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Pricing of Securities 证券定价
分类描述：Valuation and hedging of financial securities, their derivatives, and structured products
金融证券及其衍生产品和结构化产品的估值和套期保值
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