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An introduction to the mathematics of financial derivatives / etd. by Ali Hirsa, Salih N. Neftci.

By: Hirsa, AliContributor(s): Neftci, Salih NMaterial type: TextTextPublisher: Cambridge: Academic Press, 2014Edition: 3rd edDescription: ix, 444 pages : ill. ; 25 cmISBN: 9780123846822Subject(s): Derivative securities -- MathematicsDDC classification: 332.632
Contents:
Financial derivatives a brief introduction A primer on the arbitrage theorem Review of deterministic calculus Pricing derivatives : models and notation Tools in probability theory Martingales and Martingale representations Differentiation in stochastic environments The Wiener process, Lévy processes, and rare events in financial markets Integration in stochastic environments Itô's lemma The dynamics of derivative prices Pricing derivative products : partial differential equations PDEs and PIDEs an application Pricing derivative products : equivalent Martingale measures Equivalent Martingale measures New results and tools for interest-sensitive securities Arbitrage theorem in a new setting Modeling term structure and related concepts Classical and HJM approach to fixed income Classical PDE analysis for interest rate derivatives Relating conditional expectations to PDEs Pricing derivatives via Fourier transform technique Credit spread and credit derivatives Stopping times and American-type securities Overview of calibration and estimation techniques
Summary: 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 how's 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
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Includes bibliographical references and index.


Financial derivatives
a brief introduction
A primer on the arbitrage theorem
Review of deterministic calculus
Pricing derivatives : models and notation
Tools in probability theory
Martingales and Martingale representations
Differentiation in stochastic environments
The Wiener process, Lévy processes, and rare events in financial markets
Integration in stochastic environments
Itô's lemma
The dynamics of derivative prices
Pricing derivative products : partial differential equations
PDEs and PIDEs
an application
Pricing derivative products : equivalent Martingale measures
Equivalent Martingale measures
New results and tools for interest-sensitive securities
Arbitrage theorem in a new setting
Modeling term structure and related concepts
Classical and HJM approach to fixed income
Classical PDE analysis for interest rate derivatives
Relating conditional expectations to PDEs
Pricing derivatives via Fourier transform technique
Credit spread and credit derivatives
Stopping times and American-type securities
Overview of calibration and estimation techniques

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 how's 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

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