Variance analysis of control variate technique and applications in Asian option pricing
نویسندگان
چکیده مقاله:
This paper presents an analytical view of variance reduction by control variate technique for pricing arithmetic Asian options as a financial derivatives. In this paper, the effect of correlation between two random variables is shown. We propose an efficient method for choose suitable control in pricing arithmetic Asian options based on the control variates (CV). The numerical experiment shows the productivity of the proposed method.
منابع مشابه
variance analysis of control variate technique and applications in asian option pricing
this paper presents an analytical view of variance reduction by control variate technique for pricing arithmetic asian options as a financial derivatives. in this paper, the effect of correlation between two random variables is shown. we propose an efficient method for choose suitable control in pricing arithmetic asian options based on the control variates (cv). the numerical experiment shows ...
متن کاملGeneralized Control Variate Methods for Pricing Asian Options
The conventional control variate method proposed by Kemna and Vorst (1990) to evaluate Asian options under the Black-Scholes model can be interpreted as a particular selection of linear martingale controls. We generalize the constant control parameter into a control process to gain more reduction on variance. By means of an option price approximation, we construct a martingale control variate m...
متن کاملAsian Option Pricing and Volatility
An Asian option is a path-depending exotic option, which means that either the settlement price or the strike of the option is formed by some aggregation of underlying asset prices during the option lifetime. This thesis will focus on European style Arithmetic Asian options where the settlement price at maturity is formed by the arithmetic average price of the last seven days of the underlying ...
متن کاملPricing the Asian Call Option
Background material on measure-theoretic probability theory and stochastic calculus is provided in order to clarify notation and inform the reader unfamiliar with these concepts. These fields are then employed in exploring two distinct but related approaches to fair option pricing: developing a partial differential equation whose solution, given specified boundary conditions, is the desired fai...
متن کاملThe Variance Gamma Process and Option Pricing
A three parameter stochastic process, termed the variance gamma process, that generalizes Brownian motion is developed as a model for the dynamics of log stock prices. The process is obtained by evaluating Brownian motion with drift at a random time given by a gamma process. The two additional parameters are the drift of the Brownian motion and the volatility of the time change. These additiona...
متن کاملParallel computing in Asian option pricing
We discuss the use of parallel computing in Asian option pricing and evaluate the efficiencyof various algorithms. We only focus on “backward-starting fixed strike” Asian options thatare continuously averaged. We implement a partial differential equation (PDE) approach thatinvolves a single state variable to price the Asian option, and implement the same methodologyto price a st...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 8 شماره 1
صفحات 65- 71
تاریخ انتشار 2014-01-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023