Question: Suppose every time units a process either increases by the amount with probability p or decreases by the amount with probability

Suppose every time units a process either increases by the amount σ

with probability p or decreases by the amount σ

with probability 1 − p wherep= 1 + A).

Show that as goes to 0, this process converges to a Brownian motion process with drift parameter μ and variance parameter σ2.

p= 1 + A).

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