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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1428015, 33641]*) (*NotebookOutlinePosition[ 1428751, 33667]*) (* CellTagsIndexPosition[ 1428707, 33663]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ Expected Utility: Varying the degree of risk aversion when the insurance \ contract is fair\ \>", "Section"], Cell[TextData[{ "In this case the exponent in the utility function varies from .15 to .9 \ (i.e., \[Alpha] =.15, ", Cell[BoxData[ \(\[Alpha]\^\[Prime]\)]], "= .9). The probability of landing in the bad state of the world is held \ constant at ", Cell[BoxData[ \(\[Pi]\_B = .3\)]], ". The insurance contract is actuarilly fair, meaning \[Gamma] = ", Cell[BoxData[ \(TraditionalForm\`\[Pi]\_B\)]], ". The utility function is\n\t ", Cell[BoxData[ \(TraditionalForm\`\(\ u(c\_\(B\ \), c\_G, \[Pi]\_\(B\ \), 1 - \ \[Pi]\_B\ ) = \[Pi]\_B\ c\_B\%\[Alpha] + c\_G\%\[Alpha]\ \((1 - \[Pi]\_B)\)\)\)]], ".\nNote that with a fair insurance contract, the consumer equilibrium \ occurs at full insurance (i.e., on the 45 degree line where the consumer has \ the same consumption in both the good and bad states of the world ), even \ though the convexity of the indifference curve changes. 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