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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
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14.   In attempting to quantify its attitude toward risk, top management of the pharmaceutical company has reported certainty equivalent values for a variety of 50–50 risks. These are summarized in the following table.
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|
 Outcome of 50–50 Risk $200 and $0 |
 Certainty Equivalent $ 50 |
|
$200 and $50 |
112 |
|
$50 and $0 |
13 |
|
$200 and $112 |
153 |
|
$112 and $50 |
70 |
|
$50 and $13 |
28 |
|
$112 and $13 |
50 |
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For instance, the company’s CE for a 50–50 risk between $200 million and $0 is $50 million, and so on.
a.   Use these responses to determine utility values for each of the monetary values in the second column. (Hint: Set U($200) = 100 and U($0) = 0. Show that U($50) = 50, U($112) = 75, and so on.) Construct a utility graph by plotting points and drawing a smooth curve. (You may wish to check the utility values in Problem 13 against your curve.)
*b.  Consider the mathematical utility function U = 7.1 1y , where U is the utility value corresponding to monetary outcome y. Check that this function is an accurate description of the pharmaceutical company’s attitude toward risk. Is the company very risk averse?
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