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).

MATLAB: An Introduction with Applications
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Find
E(X), E(Y ), E(XY ), and , cov(X, Y ), 

 

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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).
Transcribed Image Text: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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