mathematical basis for finance

Stochastic Calculus For Quantitative Finance
Author: Alexander A Gushchin
Publisher: Elsevier
Release Date: 2015-08-26
Pages: 208
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

In 1994 and 1998 F. Delbaen and W. Schachermayer published two breakthrough papers where they proved continuous-time versions of the Fundamental Theorem of Asset Pricing. This is one of the most remarkable achievements in modern Mathematical Finance which led to intensive investigations in many applications of the arbitrage theory on a mathematically rigorous basis of stochastic calculus. Mathematical Basis for Finance: Stochastic Calculus for Finance provides detailed knowledge of all necessary attributes in stochastic calculus that are required for applications of the theory of stochastic integration in Mathematical Finance, in particular, the arbitrage theory. The exposition follows the traditions of the Strasbourg school. This book covers the general theory of stochastic processes, local martingales and processes of bounded variation, the theory of stochastic integration, definition and properties of the stochastic exponential; a part of the theory of Lévy processes. Finally, the reader gets acquainted with some facts concerning stochastic differential equations. Contains the most popular applications of the theory of stochastic integration Details necessary facts from probability and analysis which are not included in many standard university courses such as theorems on monotone classes and uniform integrability Written by experts in the field of modern mathematical finance

Mathematical Modeling And Computation In Finance  With Exercises And Python And Matlab Computer Codes
Author: Oosterlee Cornelis W
Publisher: World Scientific
Release Date: 2019-10-29
Pages: 576
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.

An Introduction To Mathematical Finance With Applications
Author: Arlie O. Petters
Publisher: Springer
Release Date: 2016-06-17
Pages: 483
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

Mathematical Methods And Quantum Mathematics For Economics And Finance
Author: Belal Ehsan Baaquie
Publisher: Springer Nature
Release Date:
Pages:
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Stochastic Processes And Applications To Mathematical Finance
Author:
Publisher: World Scientific
Release Date: 2004
Pages: 400
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and L(r)vy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings)OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)OCo Index to Social Sciences & Humanities Proceedings- (ISSHP- / ISI Proceedings)OCo Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)OCo CC Proceedings OCo Engineering & Physical Sciences"

Stochastic Processes And Applications To Mathematical Finance
Author: Jiro Akahori
Publisher: World Scientific
Release Date: 2004-07-06
Pages: 408
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Lévy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • Index to Social Sciences & Humanities Proceedings® (ISSHP® / ISI Proceedings) • Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Enlargement of Filtrations and Models for Insider Trading (A Kohatsu-Higa)Variational Equality and Portfolio Optimization for Price Processes with Jumps (H Kunita)A New Simulation Method of Diffusion Processes Applied to Finance (S Kusuoka & S Ninomiya)Risky Fraction Processes and Problems with Transaction Costs (H Nagai)A Benchmark Framework for Risk Management (E Platen)On Dufresne's Perpetuity, Translated and Reflected (P Salminen & M Yor)Some Problems Related to the Black-Scholes Type Security Markets (J Yong)and other papers Readership: Graduate students and researchers in the fields of stochastic processes and mathematical finance. Keywords:Stochastic Processes;Stochastic Differential Equations;Malliavin Calculus;Stochastic Control and Optimization;Functionals of Brownian Motions and Lévy Processes;Stochastic Models of Financial Market;Derivative Pricing;Hedging Problem

Mathematical Systems Theory In Biology  Communications  Computation And Finance
Author: Joachim Rosenthal
Publisher: Springer Science & Business Media
Release Date: 2003-09-02
Pages: 504
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists.

Financial Mathematics
Author: Andrea Pascucci
Publisher: Springer Science & Business Media
Release Date: 2012-04-05
Pages: 294
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

With the Bologna Accords a bachelor-master-doctor curriculum has been introduced in various countries with the intention that students may enter the job market already at the bachelor level. Since financial Institutions provide non negligible job opportunities also for mathematicians, and scientists in general, it appeared to be appropriate to have a financial mathematics course already at the bachelor level in mathematics. Most mathematical techniques in use in financial mathematics are related to continuous time models and require thus notions from stochastic analysis that bachelor students do in general not possess. Basic notions and methodologies in use in financial mathematics can however be transmitted to students also without the technicalities from stochastic analysis by using discrete time (multi-period) models for which general notions from Probability suffice and these are generally familiar to students not only from science courses, but also from economics with quantitative curricula. There do not exists many textbooks for multi-period models and the present volume is intended to fill in this gap. It deals with the basic topics in financial mathematics and, for each topic, there is a theoretical section and a problem section. The latter includes a great variety of possible problems with complete solution.

Advanced Financial Modelling
Author: Hansjörg Albrecher
Publisher: Walter de Gruyter
Release Date: 2009
Pages: 453
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a Special Semester on Stochastics with Emphasis on Finance that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria. "

Mathematics For Finance
Author: Marek Capinski
Publisher: Springer
Release Date: 2006-04-18
Pages: 314
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

Mathematical Finance  Practice
Author: Silvia Romagnoli
Publisher: Società Editrice Esculapio
Release Date: 2017-07-27
Pages: 288
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

The aim of these two books is to provide the basic theoretical concepts and the best practice concerning the mathematical finance which is unescapable to understand the way modern financial markets operate. Thanks to these fundamental concepts, which are completely concentrated on a deterministic modelization of the markets, students are ready to approach more advanced courses focused on the modern area of financial math where the deterministic assumption is left and stochastic assumptions concerning the evolution of the involved variables are included.

Introductory Mathematical Analysis For Quantitative Finance
Author: Daniele Ritelli
Publisher: CRC Press
Release Date: 2020-04-13
Pages: 310
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course. Features: Written with applications in mind, and maintaining mathematical rigor. Suitable for undergraduate or master's level students with an Economics or Management background. Complemented with various solved examples and exercises, to support the understanding of the subject.

Mathematical Finance
Author: Jacques Janssen
Publisher: John Wiley & Sons
Release Date: 2013-03-07
Pages: 720
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This book provides a detailed study of Financial Mathematics. In addition to the extraordinary depth the book provides, it offers a study of the axiomatic approach that is ideally suited for analyzing financial problems. This book is addressed to MBA's, Financial Engineers, Applied Mathematicians, Banks, Insurance Companies, and Students of Business School, of Economics, of Applied Mathematics, of Financial Engineering, Banks, and more.

Methods Of Mathematical Finance
Author: Ioannis Karatzas
Publisher: Springer Science & Business Media
Release Date: 1998-08-13
Pages: 407
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

A brownian model of financial markets - Contingent claim valuation in a complete market - Single-agent consumption and investment - Equilibrium in a complete market - Contingent claims in incomplete markets - Constrained consumption and investment.

Mathematical Finance
Author: Nikolai Dokuchaev
Publisher: Routledge
Release Date: 2007-02-23
Pages: 196
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Written in a rigorous yet logical and easy to use style, spanning a range of disciplines, including business, mathematics, finance and economics, this comprehensive textbook offers a systematic, self-sufficient yet concise presentation of the main topics and related parts of stochastic analysis and statistical finance that are covered in the majority of university programmes. Providing all explanations of basic concepts and results with proofs and numerous examples and problems, it includes: an introduction to probability theory a detailed study of discrete and continuous time market models a comprehensive review of Ito calculus and statistical methods as a basis for statistical estimation of models for pricing a detailed discussion of options and their pricing, including American options in a continuous time setting. An excellent introduction to the topic, this textbook is an essential resource for all students on undergraduate and postgraduate courses and advanced degree programs in econometrics, finance, applied mathematics and mathematical modelling as well as academics and practitioners.

Corporate And Project Finance Modeling
Author: Edward Bodmer
Publisher: John Wiley & Sons
Release Date: 2014-10-10
Pages: 624
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

A clear and comprehensive guide to financial modeling and valuation with extensive case studies and practice exercises Corporate and Project Finance Modeling takes a clear, coherent approach to a complex and technical topic. Written by a globally-recognized financial and economic consultant, this book provides a thorough explanation of financial modeling and analysis while describing the practical application of newly-developed techniques. Theoretical discussion, case studies and step-by-step guides allow readers to master many difficult modeling problems and also explain how to build highly structured models from the ground up. The companion website includes downloadable examples, templates, and hundreds of exercises that allow readers to immediately apply the complex ideas discussed. Financial valuation is an in-depth process, involving both objective and subjective parameters. Precise modeling is critical, and thorough, accurate analysis is what bridges the gap from model to value. This book allows readers to gain a true mastery of the principles underlying financial modeling and valuation by helping them to: Develop flexible and accurate valuation analysis incorporating cash flow waterfalls, depreciation and retirements, updates for new historic periods, and dynamic presentation of scenario and sensitivity analysis; Build customized spreadsheet functions that solve circular logic arising in project and corporate valuation without cumbersome copy and paste macros; Derive accurate measures of normalized cash flow and implied valuation multiples that account for asset life, changing growth, taxes, varying returns and cost of capital; Incorporate stochastic analysis with alternative time series equations and Monte Carlo simulation without add-ins; Understand valuation effects of debt sizing, sculpting, project funding, re-financing, holding periods and credit enhancements. Corporate and Project Finance Modeling provides comprehensive guidance and extensive explanation, making it essential reading for anyone in the field.

Strategic Finance For Criminal Justice Organizations
Author: Daniel Adrian Doss
Publisher: CRC Press
Release Date: 2017-09-20
Pages: 292
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Traditionally, the study of financial decision making in law enforcement and criminal justice entities has been approached from the perspective of tax revenues and budgeting that focus only on the past and present. Capital investments of cash flow provide future benefits to all organizations, and among courses in business administration, these noti

Stochastic Processes And Applications To Mathematical Finance
Author: Jiro Akahori
Publisher: World Scientific
Release Date: 2007
Pages: 297
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) and mathematical finance and financial engineering, the conference elicits the very highest quality papers in the field of financial mathematics.

Copulae In Mathematical And Quantitative Finance
Author: Piotr Jaworski
Publisher: Springer Science & Business Media
Release Date: 2013-06-18
Pages: 294
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 1950s, copulas have gained considerable popularity in several fields of applied mathematics, especially finance and insurance. Today, copulas represent a well-recognized tool for market and credit models, aggregation of risks, and portfolio selection. Historically, the Gaussian copula model has been one of the most common models in credit risk. However, the recent financial crisis has underlined its limitations and drawbacks. In fact, despite their simplicity, Gaussian copula models severely underestimate the risk of the occurrence of joint extreme events. Recent theoretical investigations have put new tools for detecting and estimating dependence and risk (like tail dependence, time-varying models, etc) in the spotlight. All such investigations need to be further developed and promoted, a goal this book pursues. The book includes surveys that provide an up-to-date account of essential aspects of copula models in quantitative finance, as well as the extended versions of talks selected from papers presented at the workshop in Cracow.

Advances In Mathematical Finance
Author: Michael C. Fu
Publisher: Springer Science & Business Media
Release Date: 2007-06-22
Pages: 336
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.