1. Let X = aez, Y = max(X-K,0), where a > 0, 6>0, K > 0 are cons ants, Z ~ Find Note: E(X), E(Y), E(XY), and, cov(X, Y). cov(X,Y) = E(XY) – E(X)E(Y). The result in this question may be used to design a control variate for the European call (or put) option. You may use the result Moreover, to find E(Y), you may need to use this ∞ √ {TERI:2>c) f(x)dx = √ f(x)dx {xЄR¹:x>c} for some function f(x). N(0, 1).

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