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Table of Contents
1 Preliminaries from calculus 1 2 Concepts of probability theory 21 3 Basic stochastic processes 55 4 Brownian motion calculus 91 5 Stochastic differential equations 123 6 Diffusion processes 149 7 Martingales 183 8 Calculus for semimartingales 211 9 Pure jump processes 249 10 Change of probability measure 267 11 Applications in finance : stock and FX options 287 12 Applications in finance : bonds, rates and options 323 13 Applications in biology 351 14 Applications in engineering and physics 375 |