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...January john von neumann institute stochastic calculus applied in finance this course contains seven chapters after some prerequisites hours plus exercises h introduction aim of the agenda purpose is to introduce bases get tools be actually it supposed that nancial market proposes assets prices them depending on time and hazard thus they could modelized by processes assuming theses are known continuous moreover we suppose possible states space nite information continuously trading then consider model indexed t or r will for these models remark same useful other areas than probability theory i brownian motion process characterized fact little incre ments noise physical measure error existence such a proved rst chapter explicitly built properties shown ii integral ito allows more sophisticated integration de ned second iii formula di erentiate functions iv erential equations linear equation goes black scholes example usion ornstein uhlenbeck complicate behaviors v change measures girsano...