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    LogIncrSP500 = 
      Table[Log[SP500[\([i + 1]\)]] - Log[SP500[\([i]\)]], {i, 1, lt - 1}]; 
    lt = Length[LogIncrSP500]; 
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  ImageRangeCache->{{{91.5625, 320.938}, {264.375, 123.062}} -> {-0.132356, \
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}, Open  ]],

Cell[BoxData[
    \(Fit\ of\ SP500\ to\ geometric\ BM\ \ Exp[
        mu*t + sigma*V \((t)\)*
            B \((t)\)]\ \ with\ volatility\ \ V \((t)\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Volatility = 
      Table[StandardDeviation[
          Table[LogIncrSP500[\([i]\)], {i, j - 19, j}]], {j, 20, lt}]; 
    Volatility = Volatility/Mean[Volatility]; 
    DevolLogIncrSP500 = 
      Table[\((LogIncrSP500[\([j]\)] - mu0)\)/Volatility[\([j - 19]\)] + 
          mu0, {j, 20, lt}]; lt = Length[DevolLogIncrSP500]; 
    ListPlot[Volatility, PlotJoined \[Rule] True, 
      PlotLabel \[Rule] "\<Volatility of log-increments\>"]; 
    ListPlot[DevolLogIncrSP500, 
      PlotLabel \[Rule] "\<Devolatilized log-increments\>"];\)], "Input"],

Cell[CellGroupData[{

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.00077241 0.0147151 0.23234 [
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[.01131 .36322 0 4.5 ]
[.01131 .47939 -6 -4.5 ]
[.01131 .47939 0 4.5 ]
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