Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić
Publisher: Mit Press
ISBN: 0262532654
Release Date: 2004
Genre: Business & Economics

This textbook in financial economics provides a rigorous overview of the subject that - because of an innovative presentation - is suitable for use at 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.

Solutions Manual for Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić
Publisher: MIT Press
ISBN: 026253259X
Release Date: 2004
Genre: Business & Economics

This textbook in financial economics provides a rigorous overview of the subject that -- because of an innovative presentation -- is suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three levels 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.

Finance Economics and Mathematics

Author: Oldrich A. Vasicek
Publisher: John Wiley & Sons
ISBN: 9781119186212
Release Date: 2015-11-24
Genre: Business & Economics

The compiled works of the man behind the evolution of quantitative finance Finance, Economics, and Mathematics is the complete Vasicek reference work, including published and unpublished work and interviews with the man himself. The name Oldrich A. Vasicek is synonymous with cutting-edge research in the finance fields, and this book comes straight from the source to bring you the undiluted mother lode of quant wisdom from one of the founders of the field. From his early work in yield curve dynamics, to the mean-reverting short-rate model, to his thoughts on derivatives pricing, to his work on credit risk, to his most recent research on the economics of interest rates, this book represents the life's work of an industry leader. Going beyond the papers, you'll also find the more personal side inspirational as Vasicek talks about the academics and professionals who made lasting impressions and collaborated, debated, and ultimately helped spawn some of his greatest thinking. Oldrich Vasicek has won virtually every important award and prize for his groundbreaking research in quantitative finance. You've followed his work for years; this book puts it all in a single volume to give you the definitive reference you'll turn to again and again. Explore Vasicek's insights on topics he helped create Discover his research and ideas that have gone unpublished—until now Understand yield curves and the Vasicek model from the source himself Gain a reference collection of some of the most influential work in quantitative finance Vasicek's research is the foundation of one of the most important innovations in finance. Quants around the world have been influenced by his ideas, and his status as thought leader is cemented in the annals of finance history. Finance, Economics, and Mathematics is the definitive Vasicek reference every finance professional needs.

Introduction to Quantitative Methods for Financial Markets

Author: Hansjoerg Albrecher
Publisher: Springer Science & Business Media
ISBN: 9783034805193
Release Date: 2013-06-28
Genre: Mathematics

Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products often requires fairly sophisticated quantitative tools and methods. This book serves as an introduction to financial mathematics with special emphasis on aspects relevant in practice. In addition to numerous illustrative examples, algorithmic implementations are demonstrated using "Mathematica" and the software package "UnRisk" (available for both students and teachers). The content is organized in 15 chapters that can be treated as independent modules. In particular, the exposition is tailored for classroom use in a Bachelor or Master program course, as well as for practitioners who wish to further strengthen their quantitative background.

An Introduction to the Mathematics of Financial Derivatives

Author: Ali Hirsa
Publisher: Academic Press
ISBN: 9780123846839
Release Date: 2013-12-18
Genre: Mathematics

An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning Presented intuitively, breaking up complex mathematics concepts into easily understood notions Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching

Statistics of Financial Markets

Author: Jürgen Franke
Publisher: Springer
ISBN: 9783642545399
Release Date: 2015-02-02
Genre: Business & Economics

Now in its fourth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods of evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical finance and financial time series analysis, and on applications to given problems concerning financial markets, thus making the book the ideal basis for lectures, seminars and crash courses on the topic. For this new edition the book has been updated and extensively revised and now includes several new aspects, e.g. new chapters on long memory models, copulae and CDO valuation. Practical exercises with solutions have also been added. Both R and Matlab Code, together with the data, can be downloaded from the book’s product page and www.quantlet.de

Financial Economics

Author: Thorsten Hens
Publisher: Springer
ISBN: 9783662496886
Release Date: 2016-06-01
Genre: Business & Economics

Financial economics is a fascinating topic where ideas from economics, mathematics and, most recently, psychology are combined to understand financial markets. This book gives a concise introduction into this field and includes for the first time recent results from behavioral finance that help to understand many puzzles in traditional finance. The book is tailor made for master and PhD students and includes tests and exercises that enable the students to keep track of their progress. Parts of the book can also be used on a bachelor level. Researchers will find it particularly useful as a source for recent results in behavioral finance and decision theory.

Ethics in Quantitative Finance

Author: Timothy Johnson
Publisher: Springer
ISBN: 9783319610399
Release Date: 2017-10-28
Genre: Business & Economics

This book presents an ethical theory for financial transactions that underpins the stability of modern economies. It combines elements from history, ethics, economics and mathematics to show how these combined can be used to develop a pragmatic theory of financial markets. Written in three sections; section one examines the co-evolution of finance and mathematics in an ethical context by focusing on three periods: pre-Socratic Greece, Western Europe in the thirteenth century and North-western Europe in the seventeenth century to demonstrate how the historical development of markets and finance were critical in the development of European ideas of science and democracy. Section two interprets the evidence presented in section one to provide examples of the norms reciprocity, sincerity and charity and introduce the pragmatic theory. Section three uses the pragmatic theory to interpret recent financial crises, address emergent phenomena and relate the theory to alternative contemporary theories of markets. Presenting a unique synthesis of mathematical and behavioural approaches to finance this book provides explicit ethical guidance that will be of interest to academics and practitioners alike.

The Economics of Financial Markets

Author: Hendrik S. Houthakker
Publisher: Oxford University Press
ISBN: 9780199314997
Release Date: 1996-09-12
Genre: Business & Economics

This book puts economics to work on the daily problems faced by investors, traders, speculators and brokers as they wrestle with increasingly complex financial markets. Drawing on data direct from the financial behavior of households, corporations, and governments, through to the prices of individual securities, the authors show how accessible but rigorous economics can help the players make sense of the hour-by-hour reality of the way financial markets move. Many of the twists and turns that might seem random at first sight are, they contend, rational and often predictable. But inefficiencies do exist, and the authors also demonstrate how these can become unique profit opportunities. By bringing together information on the daily workings of financial markets with the concepts and tools of economics, Houthakker and Williamson have provided a valuable resource for practitioners and students alike.

Introduction to Quantitative Finance

Author: Robert R. Reitano
Publisher: MIT Press
ISBN: 9780262013697
Release Date: 2010-01-29
Genre: Business & Economics

Mathematical logic -- Number systems and functions -- Euclidean and other spaces -- Set theory and topology -- Sequences and their convergence -- Series and their convergence -- Discrete probability theory -- Fundamental probablility theorems -- Calculus I : differentiation -- Calculus II : integration

Mathematics for Finance

Author: Marek Capinski
Publisher: Springer
ISBN: 9781852338466
Release Date: 2006-04-18
Genre: Business & Economics

This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.

An Introduction to Financial Markets and Institutions

Author: Maureen Burton
Publisher: Routledge
ISBN: 9781317476740
Release Date: 2015-03-04
Genre: Business & Economics

Completely revised and updated to include the ongoing financial crisis and the Obama administration's programs to combat it, this is the best available introductory textbook for an undergraduate course on Financial Markets and Institutions. It provides balanced coverage of theories, policies, and institutions in a conversational style that avoids complex models and mathematics, making it a student-friendly text with many unique teaching features. Financial crises, global competition, deregulation, technological innovation, and growing government oversight have significantly changed financial markets and institutions. The new edition of this text is designed to capture the ongoing changes, and to present an analytical framework that enables students to understand and anticipate changes in the financial system and accompanying changes in markets and institutions. The text includes Learning Objectives and end-of-chapter Key Words and Questions, and an online Instructor's Manual is available to adopters.

Introduction to the Economics of Financial Markets

Author: James Bradfield
Publisher: Oxford University Press
ISBN: 0198042442
Release Date: 2007-02-08
Genre: Business & Economics

There are many textbooks for business students that provide a systematic, introductory development of the economics of financial markets. However, there are as yet no introductory textbooks aimed at more easily daunted undergraduate liberal arts students. Introduction to the Economics of Financial Markets fills this gap by providing an extremely accessible introductory exposition of how economists analyze both how, and how well, financial markets organize the intertemporal allocation of scarce resources. The central theme is that the function of a system of financial markets is to enable consumers, investors, and managers of firms to effect mutually beneficial intertemporal exchanges. James Bradfield uses the standard concept of economic efficiency (Pareto Optimality) to assess the efficacy of the financial markets. He presents an intuitive, and introductory, understanding of the primary theoretical and empirical models that economists use to analyze financial markets, and then uses these models to discuss implications for public policy. Students who use this text will acquire an understanding of the economics of financial markets that will enable them to read, with some sophistication, articles in the public press about financial markets and about public policy toward those markets. The book is addressed to undergraduate students in the liberal arts, but will also be useful for undergraduate and beginning graduate students in programs of business administration who want an understanding of how economists assess financial markets against the criteria of allocative and informational efficiency.

Contract Theory in Continuous Time Models

Author: Jakša Cvitanic
Publisher: Springer Science & Business Media
ISBN: 9783642141997
Release Date: 2012-09-26
Genre: Mathematics

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.