Black Scholes, Stochastic Process, Options Trading, Financial Modelling, Differential Equations.
each event 𝜔∈Ω writing X(t, 𝜔) for the value taken by X at time t given the event 𝜔. Thus, when the event 𝜔 is fixed and t is varied X(t, 𝜔) is a random function. Conversely, at each fixed time point t, X(t, 𝜔) spans the range of all possible values of X as the event 𝜔∈Ω varies and is thus a random