 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-1/30k/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Let

V (n, x)

be the minimum expected remaining cost after time

n

, given

X_{n} = x

. The terminal condition is

V (N, x) = x^{2}

V (n - 1, x) = u \in R in f {u^{2} + E [V (n, x + u + ξ_{n})]} .

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