Optimal Portfolios: Stochastic Models For Optimal Investment And Risk Management In Continuous Time Stochastic Models for Optimal Investment and Risk Management in Continuous Time

Focuses on the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. Beginning with presenting the complete Black-Scholes type model, the book moves on to incomplete models and models including constraints and transaction costs. The methods and models presented include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al, the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig, and so forth. Stress is laid on rigorous mathematical presentation and clear economics interpretation while technicalities are kept to a minimum. The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.Stress is laid on rigorous mathematical presentation and clear economic interpretations while technicalities are kept to the minimum. The underlying mathematical concepts will be provided. No a priori knowledge of stochastic calculus, stochastic control or partial differential equations is necessary (however some knowledge in stochastics and calculus is needed). Introduction And Discrete-time Models ; Continuous-time Market Model ; Continuous-time Portfolio Problem ; Constrained Continuous-time Problems ; Portfolio Optimisation In The Presence Of Transaction Costs ; Non-utility Based Portfolio Selection Models. Ralf Korn. Includes Bibliographical References (p. 331-336) And Index.