Pricing Parisian Option under a Stochastic Volatility Model

We study the pricing of a Parisian option under a stochastic volatility model. Based on the manipulation problem that barrier options might create near barriers, the Parisian option has been designed as an extended barrier option. A stochastic volatility correction to the Black-Scholes price of the...

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Main Authors: Min-Ku Lee, Kyu-Hwan Jang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/956454
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author Min-Ku Lee
Kyu-Hwan Jang
author_facet Min-Ku Lee
Kyu-Hwan Jang
author_sort Min-Ku Lee
collection DOAJ
description We study the pricing of a Parisian option under a stochastic volatility model. Based on the manipulation problem that barrier options might create near barriers, the Parisian option has been designed as an extended barrier option. A stochastic volatility correction to the Black-Scholes price of the Parisian option is obtained in a partial differential equation form and the solution is characterized numerically.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-79466bd1135c45859f1dc9f4a8ec9ff42025-02-03T05:44:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/956454956454Pricing Parisian Option under a Stochastic Volatility ModelMin-Ku Lee0Kyu-Hwan Jang1Department of Mathematics, Sungkyunkwan University, Suwon, Gyeonggi-do 440-746, Republic of KoreaDepartment of Mathematics, Yonsei University, Seoul 120-749, Republic of KoreaWe study the pricing of a Parisian option under a stochastic volatility model. Based on the manipulation problem that barrier options might create near barriers, the Parisian option has been designed as an extended barrier option. A stochastic volatility correction to the Black-Scholes price of the Parisian option is obtained in a partial differential equation form and the solution is characterized numerically.http://dx.doi.org/10.1155/2014/956454
spellingShingle Min-Ku Lee
Kyu-Hwan Jang
Pricing Parisian Option under a Stochastic Volatility Model
Journal of Applied Mathematics
title Pricing Parisian Option under a Stochastic Volatility Model
title_full Pricing Parisian Option under a Stochastic Volatility Model
title_fullStr Pricing Parisian Option under a Stochastic Volatility Model
title_full_unstemmed Pricing Parisian Option under a Stochastic Volatility Model
title_short Pricing Parisian Option under a Stochastic Volatility Model
title_sort pricing parisian option under a stochastic volatility model
url http://dx.doi.org/10.1155/2014/956454
work_keys_str_mv AT minkulee pricingparisianoptionunderastochasticvolatilitymodel
AT kyuhwanjang pricingparisianoptionunderastochasticvolatilitymodel