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恒定弹性方差过程与随机波动率下的期权定价

Valuation of options under a constant elasticity of variance process and stochastic volatility

Quantitative Finance · 2021
被引 1
人大 BABS 3

中文导读

研究了在资产价格服从恒定弹性方差过程且波动率随机时,欧式看涨期权的定价问题,推导出适用于短期限期权的渐近展开解析近似公式,并用原油期权市场数据验证了公式的拟合效果。

Abstract

In this paper, we price European call options under a constant elasticity of variance process for the asset price and stochastic volatility. In particular, we derive an analytic approximation formula in the form of asymptotic expansions, which is valid for European options with short times to expiry. Further, we examine the performance of our formula on a market sample of short-tenor crude oil call options (traded on the International Commodities Exchange) and find that the formula provides an excellent fit to market prices.

金融经济学期权定价随机波动率计量经济学