Consider an investment of $WO = $10, 000 in Microsoft for one month, and the monthly 2 %3D return is R - N(0.05, 0.1 ). (a) What is the probability distribution of the end of month wealth W1 = WO(1 + R)? (b) Evaluate Pr(W1 < 9, 000). (c) Find the 95% Value-at-Risk (VaR) on the $10,000 investment in one month. That is to find VaR such that Pr(WO – W1 < VaR) = 0.95. (Ans: N(10500, 10002 ); 0.0668; 1145) If you can do it step by step that will be really helpful -

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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Consider an investment of $WO = $10, 000 in
Microsoft for one month, and the monthly
return is R - N(0.05, 0.1 2 ).
(a) What is the probability distribution of the
end of month wealth W1 = WO(1 + R)?
(b) Evaluate Pr(W1 < 9, 000).
(c) Find the 95% Value-at-Risk (VaR) on the
$10,000 investment in one month. That is to
find VaR such that
%3D
Pr(WO - W1 < VaR) = 0.95.
(Ans: N(10500, 10002 ); 0.0668; 1145)
If you can do it step by step that will be really
helpful
Transcribed Image Text:Consider an investment of $WO = $10, 000 in Microsoft for one month, and the monthly return is R - N(0.05, 0.1 2 ). (a) What is the probability distribution of the end of month wealth W1 = WO(1 + R)? (b) Evaluate Pr(W1 < 9, 000). (c) Find the 95% Value-at-Risk (VaR) on the $10,000 investment in one month. That is to find VaR such that %3D Pr(WO - W1 < VaR) = 0.95. (Ans: N(10500, 10002 ); 0.0668; 1145) If you can do it step by step that will be really helpful
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