Optimal Portfolios: Stochastic Models For Optimal Investment And Risk Management In Continuous Time
Seiten
1997
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3215-3 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3215-3 (ISBN)
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Focuses on the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. Beginning with the complete Black-Scholes type model, the book moves on to incomplete models and models including constraints and transaction costs.
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).
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; the continuous-time portfolio and consumption problem; the continuous-time portfolio and consumption problem - complete markets; the continuous-time portfolio and consumption problem under constraints; transaction costs; non-utility based approaches.
| Erscheint lt. Verlag | 3.12.1997 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Wirtschaft ► Betriebswirtschaft / Management ► Finanzierung | |
| ISBN-10 | 981-02-3215-2 / 9810232152 |
| ISBN-13 | 978-981-02-3215-3 / 9789810232153 |
| Zustand | Neuware |
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