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homework_09

# homework_09 - MIT OpenCourseWare http/ocw.mit.edu 1.010...

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MIT OpenCourseWare http://ocw.mit.edu 1.010 Uncertainty in Engineering Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

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" \$ # % & " \$ # " \$ # % & ( * * ) + - - , \$ # % & " \$ # & " \$ # % & ) + + * , . . - " # \$ \$ \$ % & " # \$ \$ \$ % & " \$ \$ \$ # % & ( ) * * * + , - - - 1.010 Fall 2008 Homework Set #9 Due November 20, 2008 (in class) 1. Let X 1 and X 2 be the gains, in millions of dollars, from investing \$1million in two different stocks. The objective of investing is of course to maximize gains with a minimum of uncertainty. Suppose that X 1 and X 2 have the following second moment characteristics: d /10 5.9 2 5.9 3.5 d /10 2.6 2 2 0 1 0.8 2 2.6 2.5 ~ 1 2 ~ X X A B result. (a) Which stock type would you prefer for investment? (b) As an alternative, consider investing \$500k in stock 1 and \$500k in stock 2. Would you consider this strategy more attractive? Give an intuitive explanation of your (c) How should you invest your \$1 million to minimize uncertainty on the returns? H H Specifically, the thicknesses and at locations A and B have second moment
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