TY - GEN AU - Elliott, Robert J AU - Kopp, P. E TI - Mathematics of Financial Markets SN - 9781441919427 U1 - 332.60151 ELL PY - 2005/// CY - New York PB - Springer KW - Investments-Mathematics KW - Stochastic Analysis KW - Options (Finance)-Mathematical Models N2 - This book presents the mathematics that underpins pricing models for derivative securities, such as options, futures and swaps, in modern financial markets. The idealized continuous-time models built upon the famous Black-Scholes theory require sophisticated mathematical tools drawn from modem stochastic calculus. However, many of the underlying ideas can be explained more simply within a discrete-time framework. This is developed extensively in this substantially revised second edition to motivate the technically more demanding continuous-time theory, which includes a detailed analysis of the Black-Scholes model and its generalizations, American put options, term structure models and consumption-investment problems. The mathematics of martingales and stochastic calculus is devel oped where it is needed ER -