An $x$-admissible strategy is a predictable vector of holdings $\phi=(\phi^0,\ldots,\phi^d)$ that is integrable against the asset prices, is <self-financing portfolio>[self-financing], has initial wealth
$$
V_0=\sum_i\phi_0^iS_0^i=x,
$$
and whose wealth process $V_t=\sum_i\phi_t^iS_t^i$ remains nonnegative.

Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 202 / 6 / a / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-202/6/a/solution