The first question is the derivation of the properties of E[max(x,y+a-b)] (E is the expectation operator) where x and y are normally distributed with mean zero. For example I want to know the sign of the derivative of E[max(x,y+a-b)] w.r.t. b.
I know the answers of this question (it's in a peer reviewed journal). But I don't know the derivation.
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I have many more projects and questions in the future. Then I will need you more. So this might be a long-term relationship.
You can freely specify (in the message box) how much you'd ask for this specific first question.