Pricing Foreign Equity Options with Stochastic Correlation and Volatility
نویسندگان
چکیده
A new class of foreign equity option pricing model is suggested that not only allows for the volatility but also for the correlation coefficient to vary stochastically over time. A modified Jacobi process is proposed to evaluate risk premium of the stochastic correlation, and a partial differential equation to price the correlation risk for the foreign equity has been set up, whose solution has been compared with the one with constant correlation. Since taking into account the stochastic volatility gives rise to more dimensions that produce more difficulty in numerical implementation of partial differential equation and Monte carlo, we figure out a series solution for pricing options under the correlation risk.
منابع مشابه
Pricing Foreign Equity Option with time-changed Lévy Process
In this paper we propose a general foreign equity option pricing framework that unifies the vast foreign equity option pricing literature and incorporates the stochastic volatility into foreign equity option pricing. Under our framework, the time-changed Lévy processes are used to model the underlying assets price of foreign equity option and the closed form pricing formula is obtained through ...
متن کاملOption pricing under the double stochastic volatility with double jump model
In this paper, we deal with the pricing of power options when the dynamics of the risky underling asset follows the double stochastic volatility with double jump model. We prove efficiency of our considered model by fast Fourier transform method, Monte Carlo simulation and numerical results using power call options i.e. Monte Carlo simulation and numerical results show that the fast Fourier tra...
متن کاملCurrency-translated Foreign Equity Options with Path Dependent Features and Their Multi-asset Extensions
Currency-translated foreign equity options (quanto options) are designed for investors who would like to manage different types of risk in international equity investments. The terminal payoffs of quanto options depend on the price of a foreign currency denominated asset (or stock index) and the exchange rate in different combinations of choices. This paper presents a systematic framework to de...
متن کاملPricing Two Dimensional Derivatives under Stochastic Correlation
In this paper we provide a closed-form approximation as well as a measure of the error for the price of several twodimensional derivatives under the assumptions of stochastic correlation and constant volatility. The method is applied to the pricing of Spread Options and Quantos Options, while three models for the stochatsic correlation are considered.
متن کاملOption-Implied Correlations and the Price of Correlation Risk∗
We provide evidence that the risk of changes in equity correlations is priced, using data on S&P100 options and options on all the stocks in the index. We develop a model for equity prices with priced correlation risk, which generates (i) option-implied correlations that exceed realized correlations, (ii) a zero difference between implied and realized equity variances, (iii) endogenous stochast...
متن کامل