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Let Sn=S0+r1+...rn , S0 is a constant, ri are independent random variables, E(ri)=0, Var(ri)= 2i. Set Vn=i=0n2i . Then prove that Mn=S2nVn is a martingale

Let Sn=S0+r1+...rn , S0 is a constant, ri are independent random variables, E(ri)=0, Var(ri)= 2i. Set Vn=i=0n2i . Then prove that Mn=S2nVn is a martingale relative to S0,S1,...Sn .

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