Pricing American Options under Azzalini Ito-McKean Skew Brownian Motions

被引：5

作者：

Hussain, Sultan ^{[1
]}

Arif, Hifsa ^{[1
]}

Noorullah, Muhammad ^{[1
]}

Pantelous, Athanasios A. ^{[2
]}

机构：

[1] COMSATS Univ Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan

[2] Monash Univ, Dept Econometr & Business Stat, Wellington Rd, Clayton, Vic 3800, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 451卷

关键词：

American option pricing; Skew Brownian motion; Non-normal distribution; Optimal stopping problem; Quadratic variation; STOCHASTIC VOLATILITY; VALUATION; TESTS; ARBITRAGE; MODEL;

D O I：

10.1016/j.amc.2023.128040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the pricing of American options whose asset price dynamics follow Azza-lini Ito-McKean skew Brownian motions is considered. The corresponding optimal stop-ping time problem is then formulated, and the main properties of its value function are provided. We show that if the payoff function is positive and decreasing, then the value function and its partial derivatives are continuous and locally bounded, and therefore sev-eral variational inequalities are derived. Furthermore, the Feyman-Kac formula is calcu-lated. Finally, under this more general as well as very versatile setting, the Black-Scholes option pricing model is nested as a special case. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：14

共 45 条

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