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solve (ii) please Exercise 5. (/2) Let (Sn)n be the simple random walk, that is, Sn = So + Xit.. . + Xn where X1,

solve (ii) please

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Exercise 5. (/2) Let (Sn)n be the simple random walk, that is, Sn = So + Xit.. . + Xn where X1, X2, ... are iid random variables with P [X1 = 1] = P [X1 = -1] = 2. (i) Show that (Sn)n, (S2 -n)n, (Sn - 3nSn)n are martingales with respect to (Xn)n. (ii) Construct a martingale involving Sn

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