Which of the following describes the filtration in the context of stochastic processes in finance?
Question 2
What is the primary role of Girsanov's Theorem in the context of risk-neutral pricing?
Question 3
Consider a standard Wiener process $W_t$. What is the quadratic variation of $W_t$ over the interval $[0, t]$?
Question 4
If $X_t$ is an It\^o process defined by $dX_t = \mu_t dt + \sigma_t dW_t$, and $f(t, X_t)$ is a twice continuously differentiable function, what is the differential $df(t, X_t)$ according to It\^o's Lemma?
Question 5
Which of the following is a key characteristic of a martingale in the context of financial modeling?