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随机波动率模型下方差衍生品的定价问题探讨
Study on the Pricing of Variance Derivatives Under Stochastic Volatility Model
【摘要】 在概率论教学中常涉及随机变量的特征函数,方差衍生品作为它们在定价问题中的推广和应用,可以有效地用于投资者对冲波动率风险和管理投资组合,在金融市场中起着非常重要的作用.本文基于离散取样,探讨了方差互换、方差期权等方差衍生品的定价问题,计算衍生品的支付函数与实际方差的特征函数的积分变换.求解方差衍生品的定价公式.
【Abstract】 In probability theory classes, the characteristic functions of random variables are often discussed. Variance derivatives are their extension and application in pricing problems and they are particularly important for financial market as they could be effectively used by investors to hedge volatility risk and manage portfolio?risk. Based on discrete sampling, the pricing problems of variance derivatives such as variance swaps and variance options are discussed. This paper presents the integral transform of the density functions and the payoff functions through Laplace transform approach, and derives the pricing formulae.
【Key words】 characteristic functions; Laplace transform; variance derivatives; pricing method;
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2025年01期
- 【分类号】O211.6;F830.9
- 【下载频次】24