Pricing FX Options in the Heston/CIR Jump-Diffusion Model with Log-Normal and Log-Uniform Jump Amplitudes
نویسندگان
چکیده
منابع مشابه
Risk-neutral Option Pricing for Log-uniform Jump-amplitude Jump-diffusion Model
Reduced European call and put option formulas by risk-neutral valuation are given. It is shown that the European call and put options for log-uniformjump-diffusion models are worth more than that for the Black-Scholes (diffusion) model with the common parameters. Due to the complexity of the jump-diffusion models, obtaining a closed option pricing formula like that of Black-Scholes is not tract...
متن کاملComputational Methods for Portfolio and Consumption Policy Optimization in Log-Normal Diffusion, Log-Uniform Jump Environments
Computational methods for a jump-diffusion portfolio optimization application using a loguniform jump distribution are considered. In contrast to the usual geometric Brownian motion problem based upon two parameters, mean appreciation and diffusive volatility, the jumpdiffusion model will have at least five, since jump process needs at least a rate, a mean and a variance, depending on the jump-...
متن کاملThe Fuzzy Jump-Diffusion Model to Pricing European Vulnerable Options
Owing to the fluctuation of financial markets from time to time, some parameters, such as the interest rate, volatility, cannot be precisely described. Under the assumption that the risk-free rate, the volatility, and the average jump intensity are fuzzy numbers, this paper presents the jump-diffusion approach to price vulnerable options in fuzzy environments. We also provide the crisp possibil...
متن کاملHedging of Options in Jump-Diffusion Markets with Correlated Assets
We consider the hedging problem in a jump-diffusion market with correlated assets. For this purpose, we employ the locally risk-minimizing approach and obtain the hedging portfolio as a solution of a multidimensional system of linear equations. This system shows that in a continuous market, independence and correlation assumptions of assets lead to the same locally risk-minimizing portfolio. ...
متن کاملOptions pricing for several maturities in a jump-diffusion model
Estimators for options prices with different maturities are constructed on the same trajectories of the underlying asset price process. The weighted sum of their variances (the weighted variance) is chosen as a criterion of minimization. Optimal estimators with minimal weighted variance are pointed out in the case of a jump-diffusion model. The efficiency of the constructed estimators is discus...
متن کاملذخیره 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: International Journal of Stochastic Analysis
سال: 2015
ISSN: 2090-3332,2090-3340
DOI: 10.1155/2015/258217