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Contract Theory in Continuous-Time Models
Taschenbuch von Jianfeng Zhang (u. a.)
Sprache: Englisch

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Beschreibung
In recent years there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the information they have access to, and the effect they have on the underlying "profit/loss" values. This monograph surveys recent results of the theory in a systematic way, using the approach of the so-called Stochastic Maximum Principle, in models driven by Brownian Motion.
Optimal contracts are characterized via a system of Forward-Backward Stochastic Differential Equations. In a number of interesting special cases these can be solved explicitly, enabling derivation of many qualitative economic conclusions.
In recent years there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the information they have access to, and the effect they have on the underlying "profit/loss" values. This monograph surveys recent results of the theory in a systematic way, using the approach of the so-called Stochastic Maximum Principle, in models driven by Brownian Motion.
Optimal contracts are characterized via a system of Forward-Backward Stochastic Differential Equations. In a number of interesting special cases these can be solved explicitly, enabling derivation of many qualitative economic conclusions.
Über den Autor
Jakša Cvitani¿ held positions at Columbia University (Statistics), University of Southern California (Mathematics and Economics), and currently at Caltech (Social Sciences). He has served on the editorial boards of journals in the areas of Financial Mathematics, Applied Probability and Optimization, as well as on the Council of the Bachelier Finance Society. Jianfeng Zhang is currently associate professor at the University of Southern California (Mathematics Department).
Zusammenfassung

Reviewed by international experts

Surveys recent results in a systematic way

Enables derivation of many qualitative economic conclusions

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- PART I Introduction: 1.The Principal-Agent Problem.- 2.Single-Period Examples.- PART II First Best. Risk Sharing under Full Information: 3.Linear Models with Project Selection, and Preview of Results.- 4.The General Risk Sharing Problem.- PART III Second Best. Contracting Under Hidden Action- The Case of Moral Hazard: 5.The General Moral Hazard Problem.- 6.DeMarzo and Sannikov (2007), Biais et al (2007) ¿ An Application to Capital Structure Problems: Optimal Financing of a Company.- PART IV Third Best. Contracting Under Hidden Action and Hidden Type ¿ The Case of Moral Hazard and Adverse Selection: 7.Controlling the Drift.- 8.Controlling the Volatility-Drift Trade-Off with the First-Best.- PART IV Appendix: Backward SDEs and Forward-Backward SDEs.- 9.Introduction.- 10.Backward SDEs.- 11.Decoupled Forward Backward SDEs.- 12.Coupled Forward Backward SDEs.- References.- Index.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Finance
Inhalt: xii
256 S.
ISBN-13: 9783642433528
ISBN-10: 3642433529
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Zhang, Jianfeng
Cvitanic, Jak¿a
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Springer Finance
Maße: 235 x 155 x 15 mm
Von/Mit: Jianfeng Zhang (u. a.)
Erscheinungsdatum: 15.10.2014
Gewicht: 0,411 kg
Artikel-ID: 105053672
Über den Autor
Jakša Cvitani¿ held positions at Columbia University (Statistics), University of Southern California (Mathematics and Economics), and currently at Caltech (Social Sciences). He has served on the editorial boards of journals in the areas of Financial Mathematics, Applied Probability and Optimization, as well as on the Council of the Bachelier Finance Society. Jianfeng Zhang is currently associate professor at the University of Southern California (Mathematics Department).
Zusammenfassung

Reviewed by international experts

Surveys recent results in a systematic way

Enables derivation of many qualitative economic conclusions

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- PART I Introduction: 1.The Principal-Agent Problem.- 2.Single-Period Examples.- PART II First Best. Risk Sharing under Full Information: 3.Linear Models with Project Selection, and Preview of Results.- 4.The General Risk Sharing Problem.- PART III Second Best. Contracting Under Hidden Action- The Case of Moral Hazard: 5.The General Moral Hazard Problem.- 6.DeMarzo and Sannikov (2007), Biais et al (2007) ¿ An Application to Capital Structure Problems: Optimal Financing of a Company.- PART IV Third Best. Contracting Under Hidden Action and Hidden Type ¿ The Case of Moral Hazard and Adverse Selection: 7.Controlling the Drift.- 8.Controlling the Volatility-Drift Trade-Off with the First-Best.- PART IV Appendix: Backward SDEs and Forward-Backward SDEs.- 9.Introduction.- 10.Backward SDEs.- 11.Decoupled Forward Backward SDEs.- 12.Coupled Forward Backward SDEs.- References.- Index.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Finance
Inhalt: xii
256 S.
ISBN-13: 9783642433528
ISBN-10: 3642433529
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Zhang, Jianfeng
Cvitanic, Jak¿a
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Springer Finance
Maße: 235 x 155 x 15 mm
Von/Mit: Jianfeng Zhang (u. a.)
Erscheinungsdatum: 15.10.2014
Gewicht: 0,411 kg
Artikel-ID: 105053672
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