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Portfolio Theory & Related Topics
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Some Basic Ideas Return Risk Risk Free Rate Utility Function
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Vi Vf Time Return (for a given holding period) = (Vf – Vi) / Vi More generally V V V Vi Vi Vn Return = Ri+1 = (Vi Vi)/ Vi
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V V V Vi Vi Vn Return = Ri+1 = (Vi Vi)/ Vi Expected Return = E(R) ~ St. Deviation can be estimated as =
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V V V Vi Vi Vn Vn – V1 = V1 ( 1 + g) (n-1) Geometric average (GEOMEAN)
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Table 5.3 History of Rates of Returns of Asset Classes for Generations, 1926- 2005
What could be problematic about this table?
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DEFINITION Excess Return = Actual Rate of Return - Risk Free Rate Risk premium is the expected value of the excess return What is it? Sharpe ratio (for a portfolio) = Risk Premium / St. Dev. Of Return
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Table 5.4 History of Excess Returns of Asset Classes for Generations, 1926- 2005
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