Financial Markets In Continuous Time

Author : Rose-Anne Dana,Monique Jeanblanc-Picqué,Monique Jeanblanc
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 43,9 Mb
Release : 2007-07-12
Category : Business & Economics
ISBN : 9783540711490

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Financial Markets in Continuous Time by Rose-Anne Dana,Monique Jeanblanc-Picqué,Monique Jeanblanc Pdf

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.

Author : Bernard Dumas,Elisa Luciano
Publisher : MIT Press
Page : 641 pages
File Size : 48,5 Mb
Release : 2017-10-27
Category : Business & Economics
ISBN : 9780262036542

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The Economics of Continuous-Time Finance by Bernard Dumas,Elisa Luciano Pdf

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.

Author : Rose-Anne Dana,Monique Jeanblanc
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 41,7 Mb
Release : 2007-06-30
Category : Mathematics
ISBN : 9783540711506

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Financial Markets in Continuous Time by Rose-Anne Dana,Monique Jeanblanc Pdf

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.

Author : Antonio Mele,Fabio Fornari
Publisher : Springer Science & Business Media
Page : 156 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461545330

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Stochastic Volatility in Financial Markets by Antonio Mele,Fabio Fornari Pdf

Stochastic Volatility in Financial Markets presents advanced topics in financial econometrics and theoretical finance, and is divided into three main parts. The first part aims at documenting an empirical regularity of financial price changes: the occurrence of sudden and persistent changes of financial markets volatility. This phenomenon, technically termed `stochastic volatility', or `conditional heteroskedasticity', has been well known for at least 20 years; in this part, further, useful theoretical properties of conditionally heteroskedastic models are uncovered. The second part goes beyond the statistical aspects of stochastic volatility models: it constructs and uses new fully articulated, theoretically-sounded financial asset pricing models that allow for the presence of conditional heteroskedasticity. The third part shows how the inclusion of the statistical aspects of stochastic volatility in a rigorous economic scheme can be faced from an empirical standpoint.

Author : Rose-Anne Dana,Monique Jeanblanc
Publisher : Unknown
Page : 340 pages
File Size : 45,7 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 366230824X

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Financial Markets in Continuous Time by Rose-Anne Dana,Monique Jeanblanc Pdf

Author : Robert C. Merton
Publisher : Unknown
Page : 700 pages
File Size : 47,7 Mb
Release : 1990
Category : Finance
ISBN : OCLC:641381768

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Continuous-time Finance by Robert C. Merton Pdf

Author : Robert J Elliott,P. Ekkehard Kopp
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 49,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475771466

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Mathematics of Financial Markets by Robert J Elliott,P. Ekkehard Kopp Pdf

This book explores the mathematics that underpins pricing models for derivative securities such as options, futures and swaps in modern markets. Models built upon the famous Black-Scholes theory require sophisticated mathematical tools drawn from modern stochastic calculus. However, many of the underlying ideas can be explained more simply within a discrete-time framework. This is developed extensively in this substantially revised second edition to motivate the technically more demanding continuous-time theory.

Author : Santiago Moreno-Bromberg,Jean-Charles Rochet
Publisher : Princeton University Press
Page : 176 pages
File Size : 40,5 Mb
Release : 2018-01-08
Category : Business & Economics
ISBN : 9781400889204

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Continuous-Time Models in Corporate Finance, Banking, and Insurance by Santiago Moreno-Bromberg,Jean-Charles Rochet Pdf

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.

Author : Robert C. Merton
Publisher : Wiley-Blackwell
Page : 754 pages
File Size : 54,9 Mb
Release : 1992-11-03
Category : Business & Economics
ISBN : 0631185089

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Continuous-Time Finance by Robert C. Merton Pdf

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.

Author : Robert A. Jarrow
Publisher : Springer Nature
Page : 470 pages
File Size : 40,5 Mb
Release : 2021-07-30
Category : Business & Economics
ISBN : 9783030744106

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Continuous-Time Asset Pricing Theory by Robert A. Jarrow Pdf

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.

Author : Tomas Bjork
Publisher : Oxford University Press, USA
Page : 584 pages
File Size : 45,7 Mb
Release : 2020-01-16
Category : Arbitrage
ISBN : 9780198851615

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Arbitrage Theory in Continuous Time by Tomas Bjork Pdf

The fourth edition of this widely used textbook on pricing and hedging of financial derivatives now also includes dynamic equilibrium theory and continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous time arbitrage pricing of financial derivatives, including stochastic optimal control theory and optimal stopping theory, Arbitrage Theory in Continuous Time is designed for graduate students in economics and mathematics, and combines the 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. All concepts and ideas are discussed, not only from a mathematics point of view, but with lots of intuitive economic arguments. In the substantially extended fourth edition Tomas Bjork has added completely new chapters on incomplete markets, treating such topics as the Esscher transform, the minimal martingale measure, f-divergences, optimal investment theory for incomplete markets, and good deal bounds. This edition includes an entirely new section presenting dynamic equilibrium theory, covering unit net supply endowments models and the Cox-Ingersoll-Ross equilibrium factor model. Providing two full treatments of arbitrage theory-the classical delta hedging approach and the modern martingale approach-this book is written so that these approaches can be studied independently of each other, thus providing the less mathematically-oriented reader with a self-contained introduction to arbitrage theory and equilibrium theory, while at the same time allowing the more advanced student to see the full theory in action. This textbook is a natural choice for graduate students and advanced undergraduates studying finance and an invaluable introduction to mathematical finance for mathematicians and professionals in the market.

Author : G. Gandolfo
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9789401115421

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Continuous-Time Econometrics by G. Gandolfo Pdf

Continuous-time econometrics is no longer an esoteric subject although most still regard it as such, so much so that it is hardly mentioned in standard textbooks on econometrics. Thanks to the work done in the last 20 years, both the theoretical and the applied side are by now well developed. Methods of estimation have been theoretically elaborated and practically implemented through computer programs. Continuous-time macroeconometric models for different countries have been constructed, estimated and used. Being myself involved in these developments, it was with great pleasure that I accepted the invitation to organize a session on continuous-time econometrics in the context of the International Symposium on Economic Modelling (jointly organized by the University of Urbino and the book series International Studies in Economic Modelling, and co-sponsored by the Consiglio Nazionale delle Ricerche). The reaction of 'continuists' from all over the world was so enthusiastic that I was able to arrange two sessions, one on the theory and the other on the applications. The symposium was held in Urbino on 23-25 July 1990. The papers presented in Urbino have been revised in the light of the discussion at the symposium and the referees' comments. Hence, what is published here should become another standard reference in the field of continuous-time econometrics.

Author : Bang Nam Jeon,Maria Pia Olivero
Publisher : Emerald Group Publishing
Page : 360 pages
File Size : 41,5 Mb
Release : 2013-10-23
Category : Business & Economics
ISBN : 9781783501717

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Global Banking, Financial Markets and Crises by Bang Nam Jeon,Maria Pia Olivero Pdf

This edited volume on "Global Banking, Financial Markets and Crises" contains original papers that examine issues concerning the changing role of global banks in crises. The papers in this volume also address the impact of global financial crises on multinational banking, financial markets, and emerging economies.

Author : Jaksa Cvitanic,Fernando Zapatero
Publisher : MIT Press
Page : 528 pages
File Size : 44,8 Mb
Release : 2004-02-27
Category : Business & Economics
ISBN : 0262033208

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Introduction to the Economics and Mathematics of Financial Markets by Jaksa Cvitanic,Fernando Zapatero Pdf

An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.

Author : Jean-Luc Prigent
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 40,9 Mb
Release : 2013-03-14
Category : Business & Economics
ISBN : 9783540248316

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Weak Convergence of Financial Markets by Jean-Luc Prigent Pdf

A comprehensive overview of weak convergence of stochastic processes and its application to the study of financial markets. Split into three parts, the first recalls the mathematics of stochastic processes and stochastic calculus with special emphasis on contiguity properties and weak convergence of stochastic integrals. The second part is devoted to the analysis of financial theory from the convergence point of view. The main problems, which include portfolio optimization, option pricing and hedging are examined, especially when considering discrete-time approximations of continuous-time dynamics. The third part deals with lattice- and tree-based computational procedures for option pricing both on stocks and stochastic bonds. More general discrete approximations are also introduced and detailed. Includes detailed examples.