VaR-Optimal Risk Management in Regime-Switching Jump-Diffusion Models
نویسندگان
چکیده
منابع مشابه
VaR-Optimal Risk Management in Regime-Switching Jump-Diffusion Models
In this paper we study a classical option-based portfolio strategy which minimizes the Value-at-Risk of the hedged position in a continuous time, regime-switching jump-diffusion market, by using Fourier Transform methods. However, the analysis of this hedging strategy, as well as the computational technique for its implementation, is fairly general, i.e. it can be applied to any dynamical model...
متن کاملPricing forward starting options under regime switching jump diffusion models
Abstract: This paper studies the pricing of forward starting options under regime switching jump diffusion models. We suppose that a market economy has only two states, one is a stable state, the other is a high volatility state. The dynamics of a risky asset is modeled by a geometry Brownian motion when the market state is stable, otherwise, it follows a jump diffusion model. We propose two ty...
متن کاملOptimal Reinsurance Strategies in Regime-switching Jump Diffusion Models: Stochastic Differential Game Formulation and Numerical Methods
This work develops a stochastic differential game model between two insurance companies who adopt the optimal reinsurance strategies to reduce the risk. The surplus is modeled by a regime-switching jump diffusion process. A single payoff function is imposed, and one player devises an optimal strategy to maximize the expected payoff function, whereas the other player is trying to minimize the sa...
متن کاملOption Pricing in a Jump-diffusion Model with Regime Switching
Nowadays, the regime switching model has become a popular model in mathematical finance and actuarial science. The market is not complete when the model has regime switching. Thus, pricing the regime switching risk is an important issue. In Naik (1993), a jump diffusion model with two regimes is studied. In this paper, we extend the model of Naik (1993) to a multi-regime case. We present a trin...
متن کاملNumerical methods for optimal dividend payment and investment strategies of regime-switching jump diffusion models with capital injections
This work focuses on numerical methods for finding optimal investment, dividend payment, and capital injection policies to maximize the present value of the difference between the cumulative dividend payment and the possible capital injections. The surplus is modeled by a regime-switching jump diffusion process subject to both regular and singular controls. Using dynamic programming principle, ...
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: Journal of Mathematical Finance
سال: 2013
ISSN: 2162-2434,2162-2442
DOI: 10.4236/jmf.2013.31009