Assume that the processes X, and Zn are both martingales with respect to {Y}. (3.1) Prove...

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Assume that the processes X, and Zn are both martingales with respect to {Y}. (3.1) Prove that the process Xn + Zn is also a martingale with respect to {Y}. 1 (3.2) Is the process C₂ = 2 (Xn + Zn) also a martingale with respect to {Y}. Justify your answer, result or by providing a counterexample! by either proving the (3.3) Is the process Dn X2n also a martingale with respect to {Y}. Justify your answer by either proving the result or by providing a counterexample! Assume that the processes X, and Zn are both martingales with respect to {Y}. (3.1) Prove that the process Xn + Zn is also a martingale with respect to {Y}. 1 (3.2) Is the process C₂ = 2 (Xn + Zn) also a martingale with respect to {Y}. Justify your answer, result or by providing a counterexample! by either proving the (3.3) Is the process Dn X2n also a martingale with respect to {Y}. Justify your answer by either proving the result or by providing a counterexample!

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