An exact and explicit formula for pricing lookback options with regime switching

نویسندگان

چکیده

<p style='text-indent:20px;'>This paper investigates the pricing of European-style lookback options when price dynamics underlying risky asset are assumed to follow a Markov-modulated Geometric Brownian motion; that is, appreciation rate and volatility depend on states economy described by continuous-time Markov chain process. We derive an exact, explicit closed-form solution for in two-state regime switching model.</p>

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pricing Moving-Average-Lookback Options

This thesis investigates computational methods for pricing complex path-dependent derivative securities, especially geometricand arithmetic-moving-average-lookback options. The latter security was rst issued by Polaris Securities in 1999. Our methodology can be easily modi ed to price similarly structured options issued by other securities rms. The moving-average-lookback option is a call optio...

متن کامل

Efficient pricing options under regime switching

In the paper, we propose two new efficient methods for pricing barrier option in wide classes of Lévy processes with/without regime switching. Both methods are based on the numerical Laplace transform inversion formulae and the Fast Wiener-Hopf factorization method developed in Kudryavtsev and Levendorskǐi (Finance Stoch. 13: 531–562, 2009). The first method uses the Gaver-Stehfest algorithm, t...

متن کامل

Regret Minimization Algorithms for Pricing Lookback Options

In this work, we extend the applicability of regret minimization to pricing financial instruments, following the work of [10]. More specifically, we consider pricing a type of exotic option called a fixed-strike lookback call option. A fixed-strike lookback call option has a known expiration time, at which the option holder has the right to receive the difference between the maximal price of a ...

متن کامل

Pricing Options with Credit Risk in Markovian Regime-Switching Markets

This paper investigates the valuation of European option with credit risk in a reduced formmodel when the stock price is driven by the so-called Markov-modulated jump-diffusion process, in which the arrival rate of rare events and the volatility rate of stock are controlled by a continuous-time Markov chain. We also assume that the interest rate and the default intensity follow the Vasicek mode...

متن کامل

Methods for Pricing American Options under Regime Switching

We analyze a number of techniques for pricing American options under a regime switching stochastic process. The techniques analyzed include both explicit and implicit discretizations with the focus being on methods which are unconditionally stable. In the case of implicit methods we also compare a number of iterative procedures for solving the associated nonlinear algebraic equations. Numerical...

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

ژورنال

عنوان ژورنال: Journal of Industrial and Management Optimization

سال: 2023

ISSN: ['1547-5816', '1553-166X']

DOI: https://doi.org/10.3934/jimo.2021203