Incomplete Information and Heterogeneous Beliefs in Continuous-time Finance

Incomplete Information and Heterogeneous Beliefs in Continuous-time Finance PDF Author: Alexandre C. Ziegler
Publisher: Springer Science & Business Media
ISBN: 3540247556
Category : Business & Economics
Languages : en
Pages : 205

Book Description
After a brief review of the existing incomplete information literature, the effect of incomplete information on investors' exptected utility, risky asset prices, and interest rates is described. It is demonstrated that increasing the quality of investors' information need not increase their expected utility and the prices of risky assets. The impact of other factors is discussed in detail. It is also demonstrated that financial markets in general do not aggregate information efficiently, a fact that can explain the equity premium puzzle.

The Economics of Continuous-Time Finance

The Economics of Continuous-Time Finance PDF Author: Bernard Dumas
Publisher: MIT Press
ISBN: 0262341433
Category : Business & Economics
Languages : en
Pages : 641

Book Description
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.

Financial Markets in Continuous Time

Financial Markets in Continuous Time PDF Author: Rose-Anne Dana
Publisher: Springer Science & Business Media
ISBN: 3540711503
Category : Mathematics
Languages : en
Pages : 331

Book Description
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.

Credit Risk

Credit Risk PDF Author: Georg Bol
Publisher: Springer Science & Business Media
ISBN: 3642593658
Category : Business & Economics
Languages : en
Pages : 334

Book Description
New developments in measuring, evaluating and managing credit risk are discussed in this volume. Addressing both practitioners in the banking sector and resesarch institutions, the book provides a manifold view on one of the most-discussed topics in finance. Among the subjects treated are important issues, such as: the consequences of the new Basel Capital Accord (Basel II), different applications of credit risk models, and new methodologies in rating and measuring credit portfolio risk. The volume provides an overview of recent developments as well as future trends: a state-of-the-art compendium in the area of credit risk.

Venture Capital

Venture Capital PDF Author: Stefano Caselli
Publisher: Springer Science & Business Media
ISBN: 3540248293
Category : Business & Economics
Languages : en
Pages : 422

Book Description
Venture Capital. A Euro-System Approach covers a wide spectrum of topics. These include: how venture capital really works, the relations between venture capital, corporate banking and stock exchanges, market trends in Europe and the US, legal issues related to the creation of venture capital firms and closed end funds, and finally regulatory and economic policy issues. The book is based on a strong link between a rigorous methodological approach and real world best practices of venture capitalists - thanks to a team of contributors formed by both academics and professionals of various fields.

Stochastic Methods in Finance

Stochastic Methods in Finance PDF Author: CIME-EMS Summer School
Publisher: Springer Science & Business Media
ISBN: 9783540229537
Category : Finance
Languages : en
Pages : 328

Book Description


Stochastic Calculus for Finance II

Stochastic Calculus for Finance II PDF Author: Steven E. Shreve
Publisher: Springer Science & Business Media
ISBN: 9780387401010
Category : Business & Economics
Languages : en
Pages : 586

Book Description
"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

Risk-Neutral Valuation

Risk-Neutral Valuation PDF Author: Nicholas H. Bingham
Publisher: Springer Science & Business Media
ISBN: 1447138562
Category : Mathematics
Languages : en
Pages : 447

Book Description
This second edition - completely up to date with new exercises - provides a comprehensive and self-contained treatment of the probabilistic theory behind the risk-neutral valuation principle and its application to the pricing and hedging of financial derivatives. On the probabilistic side, both discrete- and continuous-time stochastic processes are treated, with special emphasis on martingale theory, stochastic integration and change-of-measure techniques. Based on firm probabilistic foundations, general properties of discrete- and continuous-time financial market models are discussed.

Mathematical Methods for Financial Markets

Mathematical Methods for Financial Markets PDF Author: Monique Jeanblanc
Publisher: Springer Science & Business Media
ISBN: 1846287375
Category : Business & Economics
Languages : en
Pages : 754

Book Description
Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and LĂ©vy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.

Stochastic Calculus of Variations in Mathematical Finance

Stochastic Calculus of Variations in Mathematical Finance PDF Author: Paul Malliavin
Publisher: Springer Science & Business Media
ISBN: 3540307990
Category : Business & Economics
Languages : en
Pages : 148

Book Description
Highly esteemed author Topics covered are relevant and timely