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Measure | Arithmetic Linking | Geometric Linking |
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Value Added | Sum of the Excess Returns (Rpi–Rmi) divided by the Count of Returns. | (Single Period Geometrically Linked Portfolio Return–Single Period Geometrically Linked Market Return). |
Annualized Value Added | (Arithmetic Value Added) * nObsPerYear. | (Annualized Period Geometrically Linked Portfolio Return–Annualized Period Geometrically Linked Market Return). |
Information Ratio | (Arithmetic Value Added) divided by Standard Deviation of Excess Returns (Tracking Risk). | (Geometric Value Added) divided by Standard Deviation of Excess Returns (Tracking Risk). |
Annualized Information Ratio | (Arithmetic Annualized Value Added) divided by (Annualized Tracking Risk). | (Geometric Annualized Value Added) divided by (Annualized Tracking Risk). |
Sharpe Ratio | (Annual Mean Portfolio Return–Annual Mean Risk Free Rate) divided by Annualized Standard Deviation of Portfolio Return. | (Annualized Geometrically Linked Portfolio Return–Annualized Geometrically Linked Target Return) divided by Annualized Standard Deviation of Portfolio Return. |
Treynor Ratio | (Annual Mean Portfolio Return–Annual Mean Risk Free Rate) divided by the Portfolio Beta. | (Annualized Geometrically Linked Portfolio Return–Annualized Geometrically Linked Target Return) divided by the Portfolio Beta. |
Sortino Ratio | (Annual Mean Portfolio Return–Annual Mean Risk Free Return) divided by the Annualized Downside Deviation. | (Annualized Geometrically Linked Portfolio Return–Annualized Geometrically Linked Target Return) divided by the Annualized Downside Deviation. |
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