Continuous Time Finance
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Continuous Time Finance
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Author : Robert C. Merton
language : en
Publisher:
Release Date : 1990
Continuous Time Finance written by Robert C. Merton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Finance categories.
The Economics Of Continuous Time Finance
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Author : Bernard Dumas
language : en
Publisher: MIT Press
Release Date : 2017-10-27
The Economics Of Continuous Time Finance written by Bernard Dumas and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-27 with Business & Economics categories.
An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets—characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
Stochastic Calculus For Finance Ii
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Author : Steven E. Shreve
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-03
Stochastic Calculus For Finance Ii written by Steven E. Shreve and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Business & Economics categories.
"A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. In summary, this is a well-written text that treats the key classical models of finance through an applied probability approach....It should serve as an excellent introduction for anyone studying the mathematics of the classical theory of finance." --SIAM
Continuous Time Models In Corporate Finance Banking And Insurance
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Author : Santiago Moreno-Bromberg
language : en
Publisher: Princeton University Press
Release Date : 2018-01-08
Continuous Time Models In Corporate Finance Banking And Insurance written by Santiago Moreno-Bromberg and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-08 with Business & Economics categories.
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.
Continuous Time Finance
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Author : Robert C. Merton
language : en
Publisher: Wiley-Blackwell
Release Date : 1992-11-03
Continuous Time Finance written by Robert C. Merton and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-03 with Business & Economics categories.
Robert C. Merton's widely-used text provides an overview and synthesis of finance theory from the perspective of continuous-time analysis. It covers individual finance choice, corporate finance, financial intermediation, capital markets, and selected topics on the interface between private and public finance.
The Foundations Of Continuous Time Finance
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Author : Stephen M. Schaefer
language : en
Publisher: Edward Elgar Publishing
Release Date : 2001
The Foundations Of Continuous Time Finance written by Stephen M. Schaefer and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Finance categories.
This volume is an authoritative collection of 25 key papers in the development of continuous time finance. Its five sections cover the continuous time model, dynamic portfolio selection, equilibrium models, derivative pricing and, finally, term structure and other applications. It includes seminal contributions in areas such as: the Martingale approach to no-arbitrage pricing; dynamic models of consumption and portfolio selection; the inter-temporal and consumption based asset pricing models; contingent claims pricing; the term structure of interest rates and the use of changes in numeraire in options pricing. This book will be an essential source of reference for students and researchers in finance and, indeed, anyone needing access to the key papers in this important field.
Continuous Time Stochastic Control And Optimization With Financial Applications
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Author : Huyên Pham
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-28
Continuous Time Stochastic Control And Optimization With Financial Applications written by Huyên Pham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-28 with Mathematics categories.
Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance.
Continuous Time Asset Pricing Theory
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Author : Robert A. Jarrow
language : en
Publisher: Springer Nature
Release Date : 2021-07-30
Continuous Time Asset Pricing Theory written by Robert A. Jarrow and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-30 with Business & Economics categories.
Asset pricing theory yields deep insights into crucial market phenomena such as stock market bubbles. Now in a newly revised and updated edition, this textbook guides the reader through this theory and its applications to markets. The new edition features new results on state dependent preferences, a characterization of market efficiency and a more general presentation of multiple-factor models using only the assumptions of no arbitrage and no dominance. Taking an innovative approach based on martingales, the book presents advanced techniques of mathematical finance in a business and economics context, covering a range of relevant topics such as derivatives pricing and hedging, systematic risk, portfolio optimization, market efficiency, and equilibrium pricing models. For applications to high dimensional statistics and machine learning, new multi-factor models are given. This new edition integrates suicide trading strategies into the understanding of asset price bubbles, greatly enriching the overall presentation and further strengthening the book’s underlying theme of economic bubbles. Written by a leading expert in risk management, Continuous-Time Asset Pricing Theory is the first textbook on asset pricing theory with a martingale approach. Based on the author’s extensive teaching and research experience on the topic, it is particularly well suited for graduate students in business and economics with a strong mathematical background.
Financial Markets In Continuous Time
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Author : Rose-Anne Dana
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-12
Financial Markets In Continuous Time written by Rose-Anne Dana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-12 with Business & Economics categories.
This book explains key financial concepts, mathematical tools and theories of mathematical finance. It is organized in four parts. The first brings together a number of results from discrete-time models. The second develops stochastic continuous-time models for the valuation of financial assets (the Black-Scholes formula and its extensions), for optimal portfolio and consumption choice, and for obtaining the yield curve and pricing interest rate products. The third part recalls some concepts and results of equilibrium theory and applies this in financial markets. The last part tackles market incompleteness and the valuation of exotic options.
Arbitrage Theory In Continuous Time
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Author : Tomas Björk
language : en
Publisher: OUP Oxford
Release Date : 2009-08-06
Arbitrage Theory In Continuous Time written by Tomas Björk and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-06 with Business & Economics categories.
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.