 |
Vector of ones |
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Confidence level |
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Vector of instantaneous alphas |
 |
Vector of ordinary least-squares estimates for instantaneous alphas |
 |
Vector of portfolio betas |
 |
Matrix of betas |
 |
Ordinary least-squares estimate for matrix of betas |
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Certainty equivalent |
 |
Conditional Value-at-Risk |
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Vector of dividend yields |
 |
Portfolio dividend yield |
 |
Diagonal matrix with elements of at the main diagonal. |
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Vector, whose elements are equal to diagonal elements of A |
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Vector of transaction costs |
 |
Vector of regression residuals |
 |
Mathematical expectation symbol |
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Downside volatility |
 |
Normalized downside volatility |
 |
Inaction region |
 |
Information ratio |
 |
Absolute risk aversion coefficient |
 |
Relative risk aversion coefficient |
 |
Expected simple rate of return |
 |
Mu vector |
 |
Excess Mu vector |
 |
Implied excess Mu vector |
 |
Vector of sample estimates for excess Mu |
 |
Model-implied estimate for excess Mu vector |
 |
Portfolio Mu |
 |
Portfolio excess Mu |
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Excess Mu for GMV portfolio |
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Excess Mu for tangency portfolio |
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Set of possible values for excess Mu vector |
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Normalized STARR ratio |
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Simple return |
 |
Simple annual rate of return |
 |
Weight in riskless asset |
 |
Vector of portfolio weights, corresponding to risky assets |
 |
Vector of portfolio weights for GMV portfolio |
 |
Vector of portfolio weights for tangency portfolio |
 |
Vector of portfolio weights for Merton portfolio |
 |
Vector of portfolio weights for "three-fund" portfolio |
 |
Set of admissible portfolios |
 |
Risk-adjusted expected excess rate of return |
![Logarithmic return, calculated on [0,T] period](/.files/2108/45.gif) |
Logarithmic return, calculated on [0,T] period |
![Simple annual rate of return, calculated on [0,T] period](/.files/2108/46.gif) |
Simple annual rate of return, calculated on [0,T] period |
![Expected logarithmic rate of return, calculated on [0,T] period](/.files/2108/47.gif) |
Expected logarithmic rate of return, calculated on [0,T] period |
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Portfolio expected excess growth rate in the analytical model |
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Risk-free rate |
 |
Borrowing rate |
 |
Lending rate |
 |
Determination coefficient in regression |
 |
Target excess growth rate, minimum acceptance excess rate (MAR) |
 |
Volatility vector |
 |
Portfolio volatility |
 |
Vector of expected excess growth rates in the analytical model |
 |
Volatility of GMV portfolio |
 |
Volatility of tangency portfolio |
 |
Sortino ratio |
 |
Normalized Sortino ratio |
 |
Sharpe ratio |
 |
Instantaneous Sharpe ratio |
 |
STARR ratio |
 |
Volatility matrix |
 |
t-statistics vector for instantaneous alphas |
 |
t-statistics matrix for betas |
 |
Investment horizon |
 |
Utility function |
 |
Vector of assets relative contributions to portfolio variance |
 |
Value-at-Risk |
 |
Covariance matrix |
 |
Sample covariance matrix |
 |
Model-implied estimate of covariance matrix |
 |
Covariance matrix for regression residuals |