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Contract Theory in Continuous-Time Models

Contract Theory in Continuous-Time Models
Author: Jakša Cvitanic
Publisher: Springer Science & Business Media
Total Pages: 258
Release: 2012-09-24
Genre: Mathematics
ISBN: 3642142001

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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.


Contract Theory in Continuous-Time Models

Contract Theory in Continuous-Time Models
Author: Jakša Cvitanic
Publisher: Springer
Total Pages: 256
Release: 2012-09-27
Genre: Mathematics
ISBN: 9783642142017

Download Contract Theory in Continuous-Time Models Book in PDF, ePub and Kindle

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.


Contract Theory in Continuous-Time Models

Contract Theory in Continuous-Time Models
Author: Jakša Cvitanic
Publisher: Springer Science & Business Media
Total Pages: 258
Release: 2012-09-26
Genre: Mathematics
ISBN: 3642141994

Download Contract Theory in Continuous-Time Models Book in PDF, ePub and Kindle

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.


Contract Theory: Discrete- and Continuous-Time Models

Contract Theory: Discrete- and Continuous-Time Models
Author: Jaeyoung Sung
Publisher: Springer Nature
Total Pages: 348
Release: 2024-01-10
Genre: Business & Economics
ISBN: 9819954878

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This book provides a self-contained introduction to discrete-time and continuous-time models in contracting theory to advanced undergraduate and graduate students in economics and finance and researchers focusing on closed-form solutions and their economic implications. Discrete-time models are introduced to highlight important elements in both economics and mathematics of contracting problems and to serve as a bridge for continuous-time models and their applications. The book serves as a bridge between the currently two almost separate strands of textbooks on discrete- and continuous-time contracting models This book is written in a manner that makes complex mathematical concepts more accessible to economists. However, it would also be an invaluable tool for applied mathematicians who are looking to learn about possible economic applications of various control methods.


Continuous-Time Models in Corporate Finance, Banking, and Insurance

Continuous-Time Models in Corporate Finance, Banking, and Insurance
Author: Santiago Moreno-Bromberg
Publisher: Princeton University Press
Total Pages: 176
Release: 2018-01-08
Genre: Business & Economics
ISBN: 1400889200

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Continuous-Time Models in Corporate Finance synthesizes four decades of research to show how stochastic calculus can be used in corporate finance. Combining mathematical rigor with economic intuition, Santiago Moreno-Bromberg and Jean-Charles Rochet analyze corporate decisions such as dividend distribution, the issuance of securities, and capital structure and default. They pay particular attention to financial intermediaries, including banks and insurance companies. The authors begin by recalling the ways that option-pricing techniques can be employed for the pricing of corporate debt and equity. They then present the dynamic model of the trade-off between taxes and bankruptcy costs and derive implications for optimal capital structure. The core chapter introduces the workhorse liquidity-management model—where liquidity and risk management decisions are made in order to minimize the costs of external finance. This model is used to study corporate finance decisions and specific features of banks and insurance companies. The book concludes by presenting the dynamic agency model, where financial frictions stem from the lack of interest alignment between a firm's manager and its financiers. The appendix contains an overview of the main mathematical tools used throughout the book. Requiring some familiarity with stochastic calculus methods, Continuous-Time Models in Corporate Finance will be useful for students, researchers, and professionals who want to develop dynamic models of firms' financial decisions.


Arbitrage Theory in Continuous Time

Arbitrage Theory in Continuous Time
Author: Tomas Björk
Publisher: Oxford University Press
Total Pages: 546
Release: 2009-08-06
Genre: Business & Economics
ISBN: 019957474X

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The third edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications.Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's fund separation theory, the book is designed for graduate students and combines necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter.In this substantially extended new edition Bjork has added separate and complete chapters on the martingale approach to optimal investment problems, optimal stopping theory with applications to American options, and positive interest models and their connection to potential theory and stochastic discount factors.More advanced areas of study are clearly marked to help students and teachers use the book as it suits their needs.


Advances in Economics and Econometrics: Volume 1, Economic Theory

Advances in Economics and Econometrics: Volume 1, Economic Theory
Author: Daron Acemoglu
Publisher: Cambridge University Press
Total Pages: 511
Release: 2013-05-13
Genre: Business & Economics
ISBN: 1107717809

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This is the first of three volumes containing edited versions of papers and commentaries presented at invited symposium sessions of the Tenth World Congress of the Econometric Society, held in Shanghai in August 2010. The papers summarize and interpret key developments in economics and econometrics and they discuss future directions for a wide variety of topics, covering both theory and application. Written by the leading specialists in their fields, these volumes provide a unique, accessible survey of progress on the discipline. The first volume primarily addresses economic theory, with specific focuses on nonstandard markets, contracts, decision theory, communication and organizations, epistemics and calibration, and patents.


Advances in Economics and Econometrics

Advances in Economics and Econometrics
Author: Econometric Society. World Congress
Publisher: Cambridge University Press
Total Pages: 511
Release: 2013-05-27
Genre: Business & Economics
ISBN: 1107016045

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The first volume of edited papers from the Tenth World Congress of the Econometric Society 2010.


A Continuous-time Agency Model of Optimal Contracting and Capital Structure

A Continuous-time Agency Model of Optimal Contracting and Capital Structure
Author: Peter M. DeMarzo
Publisher:
Total Pages: 45
Release: 2004
Genre: Contracting out
ISBN:

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We consider a principal-agent model in which the agent needs to raise capital from the principal to finance a project. Our model is based on DeMarzo and Fishman (2003), except that the agent's cash flows are given by a Brownian motion with drift in continuous time. The difficulty in writing an appropriate financial contract in this setting is that the agent can conceal and divert cash flows for his own consumption rather than pay back the principal. Alternatively, the agent may reduce the mean of cash flows by not putting in effort. To give the agent incentives to provide effort and repay the principal, a long-term contract specifies the agent's wage and can force termination of the project. Using techniques from stochastic calculus similar to Sannikov (2003), we characterize the optimal contract by a differential equation. We show that this contract is equivalent to the limiting case of a discrete time model with binomial cash flows. The optimal contract can be interpreted as a combination of equity, a credit line, and either long-term debt or a compensating balance requirement (i.e., a cash position). The project is terminated if the agent exhausts the credit line and defaults. Once the credit line is paid off, excess cash flows are used to pay dividends. The agent is compensated with equity alone. Unlike the discrete time setting, our differential equation for the continuous-time model allows us to compute contracts easily, as well as compute comparative statics. The model provides a simple dynamic theory of security design and optimal capital structure.


Optimal Enterprise

Optimal Enterprise
Author: Mikhail V. Belov
Publisher: CRC Press
Total Pages: 277
Release: 2021-07-28
Genre: Computers
ISBN: 1000344223

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In the modern world, most gross product is created within Enterprise firms, project programs, state agencies, transnational corporations and their divisions, as well as various associations and compositions of the above entities. Enterprises, being, on the one hand, complex, and, on the other hand, widespread systems, are the subject matter of cybernetics, system theory, operations research, management sciences and many other fields of knowledge. However, the complexity of the system obstructs the development of mathematically rigorous foundations for Enterprise control. Moreover, methods of operations research and related sciences, which are widely used in practice, provide optimization of the constituents of an Enterprise, without modeling it as a whole system. But the optimization of parts does not lead to the optimality of the whole, and, also, the absence of top-down and holistic mathematical models of Enterprise contradicts the principle of holism and the system approach. The approach in this book looks first at Enterprise Systems and their essential aspects as complex sociotechnical systems composed of integrated sets of structural and process models (Chapters 1 and 2). A uniform description of all the heterogeneous fields of the modern Enterprise (marketing, sales, manufacturing, HR, finance, etc.) is then made, and the Enterprise Control Problem is posed as a top-down and holistic mathematical optimization problem (Chapter 3). Original models and methods of contract theory (Chapter 4), technology management (Chapter 5), human behavior and human capital (Chapter 6) and complex activity and resource planning (Chapter 7) are developed to solve the problem. Structural processes and mathematical models constitute an Optimal Enterprise Control Framework (Chapter 8) that provides a practical solution to the Enterprise Control Problem. This book is a resource for postgraduate and doctoral students, postdoctoral researchers and professors with research interests in the following fields of science: Fundamental Complex Systems study, Complex Systems Engineering, Enterprise Systems Engineering Applications of Operations Research, Optimization, Probability and Stochastic processes to Management Science, Economics and Business Theory of the Firm Business and Management – general, strategy/leadership, organization management, operations management and management information systems Theory of Business Processes, Business Processes Improvement and Reengineering