Option Pricing in HJM Model using an Asymptotic Expansion Method

نویسندگان

  • Akihiko Takahashi
  • Shuichiro Matsushima
چکیده

* This is the English version of the paper titled "Option Pricing in HJM Model using an Asymptotic Expansion Method" published in December 2004. This paper represents the personal views of the authors and is NOT the official view of the Financial Services Agency or the Financial Research and Training Center. † In preparing this paper, valuable advice was provided by Mr. Yoshihiko Uchida (Institute for Monetary and Economic Studies, Bank of Japan). ‡ Associate Professor, Graduate School of Economics, University of Tokyo and Special Research Fellow at the Financial Research and Training Center, Financial Services Agency § Sumitomo Life Insurance Company

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

Higher Order Asymptotic Option Valuation for Non-Gaussian Dependent Returns

This paper discusses the option pricing problems using statistical series expansion for the price process of an underlying asset. We derive the Edgeworth expansion for the stock log return via extracting dynamics structure of time series. Using this result, we investigate influences of the non-Gaussianity and the dependency of log return processes for option pricing. Numerical studies show some...

متن کامل

Estimation and Simulation of Bond Option Pricing on the Arbitrage Free Model with Jump

In pricing and hedging with financial derivatives, term structure models with jump are particularly important [1], since ignoring jumps in financial prices may cause inaccurate pricing and hedging rates [2]. Solutions of term structure model under jump-diffusion processes are justified because of movements in interest rates displaying both continuous and discontinuous behaviors [3]. Moreover, t...

متن کامل

An Asymptotic Expansion for Solutions of Cauchy-Dirichlet Problem for Second Order Parabolic PDEs and its Application to Pricing Barrier Options

This paper develops a rigorous asymptotic expansion method with its numerical scheme for the Cauchy-Dirichlet problem in second order parabolic partial differential equations (PDEs). As an application, we propose a new approximation formula for pricing a barrier option under a certain type of stochastic volatility model including the log-normal SABR model.

متن کامل

Skewed Libor Market Model and Gaussian HJM explicit approaches to rolled deposit options

A simple exotic option (floor on rolled deposit) is studied in the shifted log-normal Libor Market (LMM) and Gaussian HJM models. The shifted log-normal LMM exhibits a controllable volatility skew. An explicit approach is used for both models. Using approximations the price in the LMM is obtained without Monte Carlo simulation. The more precise approximation uses a twisted version of the perdic...

متن کامل

Implementing the HJM model by Monte Carlo Simulation

We discuss an implementation of the Heath-Jarrow-Morton model for pricing zero-coupon bonds and interest rate options, including caps and floors, by Monte Carlo simulation. Principal component analysis is used to estimate volatilities of the model from historical time series data for forward rates. Models with as many as 10 factors are supported.

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 2005