Sample Path Generation of the Stochastic Volatility CGMY Process and Its Application to Path-Dependent Option Pricing

نویسندگان

چکیده

This paper proposes the sample path generation method for stochastic volatility version of CGMY process. We present Monte-Carlo European and American option pricing with calibrate model parameters to style S&P 100 index options market, using least square regression method. Moreover, we discuss path-dependent options, such as Asian Barrier options.

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

Path Dependent Option Pricing: the path integral partial averaging method

In this paper I develop a new computational method for pricing path dependent options. Using the path integral representation of the option price, I show that in general it is possible to perform analytically a partial averaging over the underlying risk-neutral diffusion process. This result greatly eases the computational burden placed on the subsequent numerical evaluation. For short-medium t...

متن کامل

A Path Integral Approach to Option Pricing with Stochastic Volatility: Some Exact Results

The Black~scholes formula for pricing options on stocks and other securities has been generalized by Merton and Garman to the case when stock volatility is stochastic. The derivation of the price of a security derivative with stochastic volatility is reviewed starting from the first principles of finance. The equation of Merton and Garman is then recast using the path integration technique of t...

متن کامل

Path Dependent Options and the Effect of Stochastic Volatility

In modern asset price models, stochastic volatility plays a crucial role explaining several stylized facts of returns. Recently, Barndorff-Nielsen and Shephard [4] introduced a class of stochastic volatility models (the so called BNS SV model) based on superposition of Ornstein-Uhlenbeck processes driven by subordinators. The BNS SV model forms a flexible class, which can easily explain heavy-t...

متن کامل

Preference-Free Option Pricing with Path-Dependent Volatility: A Closed-Form Approach

This paper shows how one can obtain a continuous-time preference-free option pricing model with a path-dependent volatility as the limit of a discrete-time GARCH model. In particular, the continuous-time model is the limit of a discrete-time GARCH model of Heston and Nandi (1997) that allows asymmetry between returns and volatility. For the continuous-time model, one can directly compute closed...

متن کامل

Path dependent volatility

We propose a general class of non-constant volatility models with dependence on the past. The framework includes path-dependent volatility models such as that by Hobson and Rogers and also path dependent contracts such as options of Asian style. A key feature of the model is that market completeness is preserved. Some empirical analysis, based on the comparison with standard local volatility an...

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 risk and financial management

سال: 2021

ISSN: ['1911-8074', '1911-8066']

DOI: https://doi.org/10.3390/jrfm14020077