Introduction To The Economics And Mathematics Of Financial Markets
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Introduction To The Economics And Mathematics Of Financial Markets
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Author : Jaksa Cvitanic
language : en
Publisher: MIT Press
Release Date : 2004-02-27
Introduction To The Economics And Mathematics Of Financial Markets written by Jaksa Cvitanic and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-27 with Business & Economics categories.
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.
Introduction To The Economics And Mathematics Of Financial Markets
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Author : Cvitanic & Zapatero
language : en
Publisher:
Release Date : 2004
Introduction To The Economics And Mathematics Of Financial Markets written by Cvitanic & Zapatero and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Finance categories.
Introduction To The Economics And Mathematics Of Financial Markets
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Author :
language : en
Publisher:
Release Date : 2004
Introduction To The Economics And Mathematics Of Financial Markets written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Finance categories.
Introduction To The Economics And Mathematics Of Financial Markets Instructor S Manual
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Author : Jaska Cvitanic
language : en
Publisher:
Release Date : 2004-03-01
Introduction To The Economics And Mathematics Of Financial Markets Instructor S Manual written by Jaska Cvitanic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-01 with categories.
Financial Mathematics
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Author : Kevin J. Hastings
language : en
Publisher: CRC Press
Release Date : 2022-12-21
Financial Mathematics written by Kevin J. Hastings and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Business & Economics categories.
Financial Mathematics: From Discrete to Continuous Time is a study of the mathematical ideas and techniques that are important to the two main arms of the area of financial mathematics: portfolio optimization and derivative valuation. The text is authored for courses taken by advanced undergraduates, MBA, or other students in quantitative finance programs. The approach will be mathematically correct but informal, sometimes omitting proofs of the more difficult results and stressing practical results and interpretation. The text will not be dependent on any particular technology, but it will be laced with examples requiring the numerical and graphical power of the machine. The text illustrates simulation techniques to stand in for analytical techniques when the latter are impractical. There will be an electronic version of the text that integrates Mathematica functionality into the development, making full use of the computational and simulation tools that this program provides. Prerequisites are good courses in mathematical probability, acquaintance with statistical estimation, and a grounding in matrix algebra. The highlights of the text are: A thorough presentation of the problem of portfolio optimization, leading in a natural way to the Capital Market Theory Dynamic programming and the optimal portfolio selection-consumption problem through time An intuitive approach to Brownian motion and stochastic integral models for continuous time problems The Black-Scholes equation for simple European option values, derived in several different ways A chapter on several types of exotic options Material on the management of risk in several contexts
Fundamental Economics Volume I
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Author : Mukul Majumdar
language : en
Publisher: EOLSS Publications
Release Date : 2010-12-12
Fundamental Economics Volume I written by Mukul Majumdar and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-12 with categories.
Fundamental Economics in two volumes is a component of Encyclopedia of Social Sciences and Humanities in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme discusses on Fundamental Economics, Walrasian and Non-Walrasian Microeconomics, Strategic Behavior, The Economics of Bargaining, Economic Exernalities, Public Goods, Macroeconomics, Decision Making Under Uncertainty, Development Economics and many other related topics. These two volumes are aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.
Stochastic Simulation And Applications In Finance With Matlab Programs
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Author : Huu Tue Huynh
language : en
Publisher: John Wiley & Sons
Release Date : 2011-11-21
Stochastic Simulation And Applications In Finance With Matlab Programs written by Huu Tue Huynh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-21 with Business & Economics categories.
Stochastic Simulation and Applications in Finance with MATLAB Programs explains the fundamentals of Monte Carlo simulation techniques, their use in the numerical resolution of stochastic differential equations and their current applications in finance. Building on an integrated approach, it provides a pedagogical treatment of the need-to-know materials in risk management and financial engineering. The book takes readers through the basic concepts, covering the most recent research and problems in the area, including: the quadratic re-sampling technique, the Least Squared Method, the dynamic programming and Stratified State Aggregation technique to price American options, the extreme value simulation technique to price exotic options and the retrieval of volatility method to estimate Greeks. The authors also present modern term structure of interest rate models and pricing swaptions with the BGM market model, and give a full explanation of corporate securities valuation and credit risk based on the structural approach of Merton. Case studies on financial guarantees illustrate how to implement the simulation techniques in pricing and hedging. NOTE TO READER: The CD has been converted to URL. Go to the following website www.wiley.com/go/huyhnstochastic which provides MATLAB programs for the practical examples and case studies, which will give the reader confidence in using and adapting specific ways to solve problems involving stochastic processes in finance.
Stochastic Analysis For Finance With Simulations
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Author : Geon Ho Choe
language : en
Publisher: Springer
Release Date : 2016-07-14
Stochastic Analysis For Finance With Simulations written by Geon Ho Choe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-14 with Mathematics categories.
This book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. Also included are simulations of stochastic phenomena, numerical solutions of the Black–Scholes–Merton equation, Monte Carlo methods, and time series. Basic measure theory is used as a tool to describe probabilistic phenomena. The level of familiarity with computer programming is kept to a minimum. To make the book accessible to a wider audience, some background mathematical facts are included in the first part of the book and also in the appendices. This work attempts to bridge the gap between mathematics and finance by using diagrams, graphs and simulations in addition to rigorous theoretical exposition. Simulations are not only used as the computational method in quantitative finance, but they can also facilitate an intuitive and deeper understanding of theoretical concepts. Stochastic Analysis for Finance with Simulations is designed for readers who want to have a deeper understanding of the delicate theory of quantitative finance by doing computer simulations in addition to theoretical study. It will particularly appeal to advanced undergraduate and graduate students in mathematics and business, but not excluding practitioners in finance industry.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Mathematics Of Financial Markets
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Author : Robert J Elliott
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Mathematics Of Financial Markets written by Robert J Elliott 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 2013-11-11 with Mathematics categories.
This work is aimed at an audience with asound mathematical background wishing to leam about the rapidly expanding field of mathematical finance. Its content is suitable particularly for graduate students in mathematics who have a background in measure theory and prob ability. The emphasis throughout is on developing the mathematical concepts re quired for the theory within the context of their application. No attempt is made to cover the bewildering variety of novel (or 'exotic') financial instru ments that now appear on the derivatives markets; the focus throughout remains on a rigorous development of the more basic options that lie at the heart of the remarkable range of current applications of martingale theory to financial markets. The first five chapters present the theory in a discrete-time framework. Stochastic calculus is not required, and this material should be accessible to anyone familiar with elementary probability theory and linear algebra. The basic idea of pricing by arbitrage (or, rather, by nonarbitrage) is presented in Chapter 1. The unique price for a European option in a single period binomial model is given and then extended to multi-period binomial models. Chapter 2 intro duces the idea of a martingale measure for price pro cesses. Following a discussion of the use of self-financing trading strategies to hedge against trading risk, it is shown how options can be priced using an equivalent measure for which the discounted price process is a mar tingale.