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It is stated that using Itos Lemma it is straightforward to verify that the stochastic differential of rho_t is given by beginalign drho_t -rho_t lambda_t dW_t endalign. Stochastic differential equations Consider thewhite noise driven ODE dx dt fxt Lxtwt. Rvs Kvk Institute Of Management Studies 2012 The Black Scholes Model Retrieved June 20 2017 From Https Www Slideshare Net Venuananth1910 Black Scholesven First 3 steps in constructing Ito integral for general processes Ito integral for simple processes. Ito stochastic . In integral form we have Z t 0 eBsdBs eBt 1 1 2 Z t 0. Steps for proof 1 Construct a sequence of adapted stochastic processes v n such that kv v nk M2 r E R T 0 jv. Section 1 summarizes the key concepts and results and should be read by nonspecialists. However the Ito integral will have a much large domain of definition. An Ito process or stochastic integral is a stochastic process on Ω F P adopted to F. Settings the limits to t and t dt where dt is small