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Actuarial mathematics --- Processus stochastiques --- Stochastic processes --- Stochastische processen --- Insurance --- Finance --- Assurance --- Finances --- Mathematical models --- Modèles mathématiques --- Stochastic processes. --- Mathematical models. --- 519.218 --- -Insurance --- -Stochastic processes --- -Finance --- 332.015118 --- 10.01.a --- Random processes --- Probabilities --- Assurance (Insurance) --- Coverage, Insurance --- Indemnity insurance --- Insurance coverage --- Insurance industry --- Insurance protection --- Mutual insurance --- Underwriting --- Funding --- Funds --- Economics --- Currency question --- Special stochastic processes --- Verzekeringswiskunde ; Waarschijnlijkheidsrekening --- 519.218 Special stochastic processes --- Modèles mathématiques --- Insurance - Mathematical models. --- Finance - Mathematical models.

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The origin of this book can be traced to courses on financial mathemat­ ics taught by us at the University of New South Wales in Sydney, Warsaw University of Technology (Politechnika Warszawska) and Institut National Polytechnique de Grenoble. Our initial aim was to write a short text around the material used in two one-semester graduate courses attended by students with diverse disciplinary backgrounds (mathematics, physics, computer sci­ ence, engineering, economics and commerce). The anticipated diversity of potential readers explains the somewhat unusual way in which the book is written. It starts at a very elementary mathematical level and does not as­ sume any prior knowledge of financial markets. Later, it develops into a text which requires some familiarity with concepts of stochastic calculus (the basic relevant notions and results are collected in the appendix). Over time, what was meant to be a short text acquired a life of its own and started to grow. The final version can be used as a textbook for three one-semester courses­ one at undergraduate level, the other two as graduate courses. The first part of the book deals with the more classical concepts and results of arbitrage pricing theory, developed over the last thirty years and currently widely applied in financial markets. The second part, devoted to interest rate modelling is more subjective and thus less standard. A concise survey of short-term interest rate models is presented. However, the special emphasis is put on recently developed models built upon market interest rates.

Stochastic processes --- International financial management --- International finance --- Options (Finance) --- Derivative securities --- Interest rates --- Fixed-income securities --- Finance --- Mathematical models --- Options (Finances) --- Instruments dérivés (Finances) --- Taux d'intérêt --- Valeurs mobilières à revenus fixes --- Modèles mathématiques --- -Fixed-income securities --- -Interest rates --- -Options (Finance) --- 305.91 --- -Derivative securities --- -332.015118 --- Fixed-income investments --- Investments, Fixed-income --- Securities, Fixed-income --- Money market rates --- Rate of interest --- Rates, Interest --- Interest --- Derivative financial instruments --- Derivative financial products --- Derivative instruments --- Derivatives (Finance) --- Financial derivatives --- Structured notes (Securities) --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles. --- Instruments dérivés (Finances) --- Taux d'intérêt --- Valeurs mobilières à revenus fixes --- Modèles mathématiques --- 332.015118 --- AA / International- internationaal --- 519.2 --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- Securities --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles --- Law and legislation --- Mathematical models. --- Finances --- Economics, Mathematical . --- Probabilities. --- Finance. --- Statistics . --- Quantitative Finance. --- Probability Theory and Stochastic Processes. --- Finance, general. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Funding --- Funds --- Economics --- Currency question --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Mathematical economics --- Methodology --- Marché financier --- Options (Finance) - Mathematical models - Mathematical models. --- Derivative securities - Mathematical models. --- Interest rates - Mathematical models. --- Fixed-income securities - Mathematical models. --- Finance - Mathematical models.