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Let={1,2,3,4,5} F=2 F 0 ={,} F 1 =({{1,4},{2,3,5}}) andF 2 =F Consider the stochastic process X={X 0 ,X 1 ,X 2 } with X 0

Let={1,2,3,4,5}

F=2

F0={,}

F1=({{1,4},{2,3,5}}) andF2=F

Consider the stochastic process X={X0,X1,X2} with

X0()=0, X1(1)=3, X1(3)=-7

X2()=5

If Xis adapted to the given filtration, what is

X1(4)+X1(2)

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