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Bedrijfswiskunde --- Business mathematics --- Mathématiques appliquées --- Mathématiques financières --- Toegepaste wiskunde --- Mathématiques financières --- Amortissement --- Depreciation --- economics --- Interest rates --- Capital
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Mathematics --- Mathématiques --- Early works to 1800 --- Ouvrages avant 1800 --- Mathématiques --- Mathématiques financières. --- Arithmétique --- Histoire --- Histoire. --- Mathématiques financières. --- Arithmétique
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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. .
Mathematics. --- Economics, Mathematical. --- Mathematics, general. --- Quantitative Finance. --- Economics --- Mathematical economics --- Math --- Mathematics --- Finance. --- Science --- Funding --- Funds --- Currency question --- Analyse stochastique. --- Mathématiques financières. --- Economics, Mathematical . --- Econometrics --- Methodology
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Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.
International finance --- Actuarial mathematics --- Derivative securities --- Business mathematics --- Mathématiques financières --- Prices --- Mathematics --- Mathematical Sciences --- General and Others --- Business mathematics. --- Mathematics.
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Business mathematics --- Mathématiques financières --- Problems, exercices, etc --- Problèmes et exercices --- AA / International- internationaal --- 657.02 --- Handelsrekenen. Financiële algebra. Actuariële wiskunde. Aflossingstabellen. --- Mathématiques financières --- Problèmes et exercices --- Mathématiques --- Mathematics --- Finances --- Business mathematics. --- Mathématiques --- Mathematics. --- Mathematiques --- Exercices resolus
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Actuarial mathematics --- Business mathematics --- Insurance --- 368 --- Actuarial science --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance --- Mathematics --- 368 Verzekeringswezen --- Verzekeringswezen --- Assurance --- Mathématiques financières --- Mathématiques --- Mathématiques
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Economics, Mathematical. --- Business mathematics. --- Mathématiques économiques --- Mathématiques financières --- Business mathematics --- Economics, Mathematical --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance --- Methodology
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Students and instructors alike will benefit from this rigorous, unfussy text, which keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence and conditioning. Assuming only some calculus and linear algebra, the text develops key results of measure and integration, which are applied to probability spaces and random variables, culminating in central limit theory. Consequently it provides essential prerequisites to graduate-level study of modern finance and, more generally, to the study of stochastic processes. Results are proved carefully and the key concepts are motivated by concrete examples drawn from financial market models. Students can test their understanding through the large number of exercises and worked examples that are integral to the text.
Business mathematics --- Probabilities --- Mathématiques financières --- Probabilités --- mathematics Business --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Business mathematics. --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance
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The Paris-Princeton Lectures in Financial Mathematics, of which this is the third volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Hyuên Pham.
Business mathematics --- Mathématiques financières --- Congresses. --- Congrès --- Business mathematics -- Congresses. --- Mathématiques financières -- Congrès. --- Economic Theory --- Accounting --- Commerce --- Business & Economics --- -332.0151 --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance --- Mathematics --- Mathématiques financières --- Mathematics. --- Game theory. --- Economics, Mathematical. --- Probabilities. --- Quantitative Finance. --- Game Theory, Economics, Social and Behav. Sciences. --- Probability Theory and Stochastic Processes. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Economics --- Mathematical economics --- Econometrics --- Games, Theory of --- Theory of games --- Mathematical models --- Math --- Science --- Methodology --- Finance. --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Funding --- Funds --- Currency question --- Economics, Mathematical .
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