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An elementary introduction to mathematical finance
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ISBN: 0521192536 9780521192538 1139635581 1139075454 9786613110954 1139077716 1139069691 1139082272 0511921489 1283110954 1139080008 Year: 2011 Publisher: Cambridge: Cambridge university press,

Volatility and Correlation in the pricing of equity, FX and interest-rate options.
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ISBN: 0471899984 Year: 1999 Publisher: New York, Toronto, ... : John Wiley & sons, LTD,


Book
Stochastic methods in asset pricing
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ISBN: 9780262036559 026203655X Year: 2017 Publisher: Cambridge, Massachusetts ; London, England : The MIT Press,

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A comprehensive overview of the theory of stochastic processes and its connections to asset pricing, accompanied by some concrete applications. This book presents a self-contained, comprehensive, and yet concise and condensed overview of the theory and methods of probability, integration, stochastic processes, optimal control, and their connections to the principles of asset pricing. The book is broader in scope than other introductory-level graduate texts on the subject, requires fewer prerequisites, and covers the relevant material at greater depth, mainly without rigorous technical proofs. The book brings to an introductory level certain concepts and topics that are usually found in advanced research monographs on stochastic processes and asset pricing, and it attempts to establish greater clarity on the connections between these two fields. The book begins with measure-theoretic probability and integration, and then develops the classical tools of stochastic calculus, including stochastic calculus with jumps and Lévy processes. For asset pricing, the book begins with a brief overview of risk preferences and general equilibrium in incomplete finite endowment economies, followed by the classical asset pricing setup in continuous time. The goal is to present a coherent single overview. For example, the text introduces discrete-time martingales as a consequence of market equilibrium considerations and connects them to the stochastic discount factors before offering a general definition. It covers concrete option pricing models (including stochastic volatility, exchange options, and the exercise of American options), Merton's investment-consumption problem, and several other applications. The book includes more than 450 exercises (with detailed hints). Appendixes cover analysis and topology and computer code related to the practical applications discussed in the text.


Book
Les titres financiers : équilibre du marché et méthodes d'évaluation
Authors: ---
ISBN: 2130466443 9782130466444 Year: 1995 Publisher: Paris : PUF - Presses Universitaires de France,

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En trois parties : le comportement de l'investisseur vis-à-vis du risque, les choix de portefeuille et l'équilibre sur le marché des actions ; l'évaluation des options ; l'évaluation des obligations et l'étude de la gamme des taux d'intérêt. Ce livre n'est pas réservé à des mathématiciens chevronnés et n'utilise que les notions usuelles d'analyse et d'algèbre.

Finite difference methods in financial engineering : a partial differential equation approach
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ISBN: 9780470858820 0470858826 Year: 2006 Publisher: Chichester, England ; Hoboken, NJ : John Wiley,


Book
Forecasting expected returns in the financial markets
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ISBN: 075068321X 9786611057657 1281057657 0080550673 9780750683210 9780080550671 9781281057655 Year: 2007 Publisher: Amsterdam ; Boston : Academic Press,

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Forecasting returns is as important as forecasting volatility in multiple areas of finance. This topic, essential to practitioners, is also studied by academics. In this new book, Dr Stephen Satchell brings together a collection of leading thinkers and practitioners from around the world who address this complex problem using the latest quantitative techniques. *Forecasting expected returns is an essential aspect of finance and highly technical *The first collection of papers to present new and developing techniques *International authors present both academic and practitioner perspectives


Book
Introduzione alla finanza matematica : Derivati, prezzi e coperture
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ISBN: 8847008190 9786613251428 8847008204 1283251426 Year: 2009 Publisher: Milano : Springer Milan : Imprint: Springer,

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Il libro illustra l'approccio della moderna finanza matematica al caso dei titoli derivati, certamente gli strumenti più innovativi e più diffusi del mercato finanziario. La metodologia detta di non arbitraggio (o di Black e Scholes) viene illustrata sia in termini euristici sia in termini formali e applicata per fornire la guida al pricing e all'hedging dei titoli c.d. derivati in quanto dipendenti da altri titoli: forward e futures, floaters, swap, opzioni sia semplici sia esotiche, titoli strutturati e opzioni nascoste, di mercato azionario, di tasso d'interesse, di cambio, di credito etc. I derivati sono analizzati sia per le finalità speculative sia per quelle di copertura dei rischi. Grafici, esempi numerici, riferimenti normativi (Consob) ed esercizi aiutano il lettore alla comprensione dei diversi strumenti considerati. I modelli teorici tra i più noti in letteratura sono presi in esame, analizzati passo per passo e messi a confronto. La trattazione si presta a un doppio livello di lettura: un livello semplice e introduttivo, che richiede solo nozioni matematiche di base e punta alla comprensione pratica dei concetti e degli strumenti e un livello più avanzato che utilizza il calcolo stocastico e alcuni risultati fondamentali della probabilità, della matematica e della statistica. Il primo livello è pensato per gli insegnamenti universitari della laurea triennale mentre il secondo livello si rivolge ai corsi di laurea magistrale e specialistica, di master e dottorato. Un'appendice sui risultati più avanzati, sui processi stocastici, le procedure numeriche e la simulazione Monte Carlo rendono il testo relativamente autosufficiente.


Book
Financial decisions and markets : a course in asset pricing
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ISBN: 9780691160801 0691160805 Year: 2018 Publisher: Princeton : Princeton University Press,

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In Financial Decisions and Markets, John Campbell, one of the field's most respected authorities, provides a broad graduate-level overview of asset pricing. He introduces students to leading theories of portfolio choice, their implications for asset prices, and empirical patterns of risk and return in financial markets. Campbell emphasizes the interplay of theory and evidence, as theorists respond to empirical puzzles by developing models with new testable implications. The book shows how models make predictions not only about asset prices but also about investors' financial positions, and how they often draw on insights from behavioral economics. After a careful introduction to single-period models, Campbell develops multiperiod models with time-varying discount rates, reviews the leading approaches to consumption-based asset pricing, and integrates the study of equities and fixed-income securities. He discusses models with heterogeneous agents who use financial markets to share their risks, but also may speculate against one another on the basis of different beliefs or private information. Campbell takes a broad view of the field, linking asset pricing to related areas, including financial econometrics, household finance, and macroeconomics. The textbook works in discrete time throughout, and does not require stochastic calculus. Problems are provided at the end of each chapter to challenge students to develop their understanding of the main issues in financial economics. --


Book
Computational methods for quantitative finance : finite element methods for derivative pricing
Authors: --- --- ---
ISBN: 3642435327 3642354009 3642354017 1299336922 Year: 2013 Publisher: Heidelberg, Germany : Springer,

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Many mathematical assumptions on which classical derivative pricing methods are based have come under scrutiny in recent years. The present volume offers an introduction to deterministic algorithms for the fast and accurate pricing of derivative contracts in modern finance. This unified, non-Monte-Carlo computational pricing methodology is capable of handling rather general classes of stochastic market models with jumps, including, in particular, all currently used Lévy and stochastic volatility models. It allows us e.g. to quantify model risk in computed prices on plain vanilla, as well as on various types of exotic contracts. The algorithms are developed in classical Black-Scholes markets, and then extended to market models based on multiscale stochastic volatility, to Lévy, additive and certain classes of Feller processes.  The volume is intended for graduate students and researchers, as well as for practitioners in the fields of quantitative finance and applied and computational mathematics with a solid background in mathematics, statistics or economics.

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