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Optimal Portfolios

Stochastic Models For Optimal Investment And Risk Management In Continuous Time

Autor*innen

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  • 350 Seiten
  • 13 Lesestunden

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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).

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Optimal Portfolios, Ralf Korn

Sprache
Erscheinungsdatum
1997
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Titel
Optimal Portfolios
Untertitel
Stochastic Models For Optimal Investment And Risk Management In Continuous Time
Sprache
Englisch
Autor*innen
Ralf Korn
Verlag
Wspc
Erscheinungsdatum
1997
Einband
Paperback
Seitenzahl
350
ISBN10
9810232152
ISBN13
9789810232153
Reihe
Bewertung
4 von 5 Sternen
Beschreibung
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).