Static Replication of Barrier Options: Some General Results

نویسندگان

  • Leif Andersen
  • Jesper Andreasen
  • David Eliezer
چکیده

This paper presents a number of new theoretical results for replication of barrier options through a static portfolio of European put and call options. Our results are valid for options with completely general knock-out/knock-in sets, and allow for timeand state-dependents volatility as well as discontinuous asset dynamics. We illustrate the theory with numerical examples and discuss the practical implementation.

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

Static replication of exotic options

In the Black-Scholes model, stocks and bonds can be continuously traded to replicate the payoff of any derivative security. In practice, frequent trading is both costly and impractical. Static replication attempts to address this problem by creating replicating strategies that only trade rarely. In this thesis, we will study the static replication of exotic options by plain vanilla options. In ...

متن کامل

Static Benefits Breaking Barriers

as a way to hedge barrier options when the underlying is a futures price with no drift. Derman, Ergener & Hani (1994) relaxed this drift restriction by introducing an algorithm for hedging barrier options in a bi-nomial model, using options with a single strike but multiple expiries. By contrast, this article provides explicit formulas for static hedges in the standard Black-Scholes (1973) mode...

متن کامل

Static Hedging of Timing Risk

B arrier options are the most popular form of the second generation exotic options. To soften the impact of hitting a barrier, many knock-out options include rebates that partially compensate the holder for the loss of the option at the first passage time. These rebates differ from European option payoffs in that the underlying’s price at the payoff time is known, assuming that the price proces...

متن کامل

Semi-static Hedging of Barrier Options under Poisson Jumps

We show that the payoff to barrier options can be replicated when the underlying price process is driven by the difference of two independent Poisson processes. The replicating strategy employs simple semi-static positions in co-terminal standard options. We note that classical dynamic replication using just the underlying asset and a riskless asset is not possible in this context. When the und...

متن کامل

Pricing Discretely Sampled Path-dependent Exotic Options Using Replication Methods

A semi-static replication method is introduced for pricing discretely sampled path-dependent options. It depends upon buying and selling options at the reset times of the option but does not involve trading at intervening times. The method is model independent in that it only depends upon the existence of a pricing function for vanilla call options which depends purely on current time, time to ...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000