Double-sided Parisian option pricing

نویسندگان

  • Jasper H. M. Anderluh
  • Johannes A. M. van der Weide
چکیده

In this paper we derive Fourier transforms for double sided Parisian option contracts. The double sided Parisian option contract is triggered by the stock price process spending some time above an upper level or below some lower level. The double sided Parisian knock-in call contract is the general type of Parisian contract from which all the one-sided contract types follow. We also discuss the Fourier inversion in the paper and conclude with a series of numerical examples, explaining the Parisian optionality and the way prices are affected by the local behavior of Brownian motion in detail.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pricing double barrier Parisian options using Laplace transforms

In this article, we study a double barrier version of the standard Parisian options. We give closed formulas for the Laplace transforms of their prices with respect to the maturity time. We explain how to invert them numerically and prove a result on the accuracy of the numerical inversion when the function to be recovered is sufficiently smooth. Henceforth, we study the regularity of the Paris...

متن کامل

Parisian Option Pricing: A Recursive Solution for the Density of the Parisian Stopping Time

In this paper, we obtain the density function of the single barrier one-sided Parisian stopping time. The problem reduces to that of solving a Volterra integral equation of the first kind, where a recursive solution is consequently obtained. The advantage of this new method as compared to that in previous literature is that the recursions are easy to program as the resulting formula involves on...

متن کامل

An analytical solution for Parisian up-and-in calls

In this work, we derive an analytical solution for the value of Parisian up-and-in calls by using the “moving window” technique developed by Zhu and Chen [15] for pricing European-style Parisian up-and-out calls. Our pricing formula can be applied to both European-style and American-style Parisian up-and-in calls, due to the fact that with an “in” barrier, the option holder cannot do or decide ...

متن کامل

Option pricing under the double stochastic volatility with double jump model

In this paper, we deal with the pricing of power options when the dynamics of the risky underling asset follows the double stochastic volatility with double jump model. We prove efficiency of our considered model by fast Fourier transform method, Monte Carlo simulation and numerical results using power call options i.e. Monte Carlo simulation and numerical results show that the fast Fourier tra...

متن کامل

Fast binomial procedures for pricing Parisian/ParAsian options

The discrete procedures for pricing Parisian/ParAsian options depend, in general, by three dimensions: time, space, time spent over the barrier. Here we present some combinatorial and lattice procedures which reduce the computational complexity to second order. In the European case the reduction was already given by Lyuu-Wu [11] and Li-Zhao [10], in this paper we present a more efficient proced...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Finance and Stochastics

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2009