A Closed Form Solution to Perpetual American Floating Strike Lookback Option∗†

نویسنده

  • Min Dai
چکیده

We derive a closed form solution to the perpetual American floating strike lookback option as well as its critical asset price on the basis of PDE approach. Numerical experiments are also given to verify the validity of the closed form solution.

برای دانلود رایگان 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

American Options with Lookback Payoff

We examine the early exercise policies and pricing behaviors of one-asset American options with lookback payoff structures. The classes of option models considered include floating strike lookback options, Russian options, fixed strike lookback options and pricing model of dynamic protection fund. For each class of the American lookback options, we analyze the optimal stopping region, in partic...

متن کامل

Discounted optimal stopping for maxima of some jump-diffusion processes∗

We present closed form solutions to some discounted optimal stopping problems for the maximum process in a model driven by a Brownian motion and a compound Poisson process with exponential jumps. The method of proof is based on reducing the initial problems to integro-differential freeboundary problems where the normal reflection and smooth fit may break down and the latter then be replaced by ...

متن کامل

On the Lookback Option with Fixed Strike

The lookback option with fixed strike in the case of finite horizon was examined with help of the solution to the optimal stopping problem for a three-dimensional Markov process in [1]. The purpose of this paper is to illustrate another derivation of the solution in [1]. The key idea is to use the Girsanov change-of-measure theorem which allows to reduce the three-dimensional optimal stopping p...

متن کامل

A Closed-form Solution for Lookback Options Using Mellin Transform Approach

Lookback options, in the terminology of finance, are a type of exotic option with path dependency whose the payoff depends on the optimal (maximum or minimum) underlying asset’s price occurring over the life of the option. In this paper, we exploit Mellin transform techniques to find a closed-form solution for European lookback options in BlackScholes model.

متن کامل

Equivalence of Floating and Fixed Strike Asian and Lookback Options

We prove a symmetry relationship between floating-strike and fixed-strike Asian options for assets driven by general Lévy processes using a change of numéraire and the characteristic triplet of the dual process. We apply the same technique to prove a similar relationship between floating-strike and fixed-strike lookback options.

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005