Exercise 6.10 In Proposition 6.1(2), let U = Et[XZ]. Then, from (6.17), we have Using this and

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Exercise 6.10 In Proposition 6.1(2), let U = Et[XZ]. Then, from (6.17), we have

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Using this and the fact that Y Z is also Ft-measurable, prove the property (2).
Also, prove the other properties in Propositions 6.1 and 6.3 by using similar arguments.

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