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PROCEEDINGS May 15, 16, 17, 18, 2005 - Casualty Actuarial Society

PROCEEDINGS May 15, 16, 17, 18, 2005 - Casualty Actuarial Society

PROCEEDINGS May 15, 16, 17, 18, 2005 - Casualty Actuarial Society

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230 MODELING FINANCIAL SCENARIOSFIGURE 23Actual Real Estate Returns (1978—2004) vs. ModelValues (5,000 Iterations)CorrelationsTable 2 displays the correlation matrix for all the outputvariables at the end of the first projection year (row <strong>16</strong> ofthe spreadsheet). Table 3 displays the corresponding matrixfrom history over the period from April 1953 through December2001. Stock data are based on Ibbotson [30] and interestrates and inflation are from St. Louis Federal Reserve Data(http://research.stlouisfed.org/fred2/).Several comments can be made when comparing the two correlationmatrices. First, the historical correlation between largeand small stocks is 0.744. The correlation between the modelvalues of large and small stocks is 0.699, which looks quite reasonable.The correlation between inflation and Treasury bills (Tbills)has been 0.593 historically. This correlation is also clearlyreflected in the model values, with a correlation of 0.906 betweenthe one-month inflation rate and the one-month nominalinterest rate, 0.892 between the one-year inflation rate and

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