(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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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[ 910492, 20564]*) (*NotebookOutlinePosition[ 911226, 20590]*) (* CellTagsIndexPosition[ 911182, 20586]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Expected Utility: Varying the price of the insurance", "Section"], Cell[TextData[{ "In this case the insurance premium varies from $0.50 to $0.30 per dollar \ of coverage (i.e., \[Gamma] =.5, ", Cell[BoxData[ \(\[Gamma]\^\[Prime]\)]], "= .3 ). The probability of landing in the bad state of the world is held \ constant at ", Cell[BoxData[ \(\[Pi]\_B = .3\)]], ". The exponent in the utility function is held constant at \[Alpha] =.6, \ where the Von Neuman -Morgensten 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 when the insurance contract becomes actuarially fair (i.e, \ when ", Cell[BoxData[ \(\[Gamma]\^\[Prime]\)]], " = ", Cell[BoxData[ \(TraditionalForm\`\[Pi]\_\(B\ \)\)]], " = 0.3), 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 )." }], "Text"], Cell[CellGroupData[{ Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1.96 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 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