|
Vector of ones |
|
Confidence level |
|
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 |
|
Certainty equivalent |
|
Conditional Value-at-Risk |
|
Vector of dividend yields |
|
Portfolio dividend yield |
|
Diagonal matrix with elements of at the main diagonal. |
|
Vector, whose elements are equal to diagonal elements of A |
|
Vector of transaction costs |
|
Vector of regression residuals |
|
Mathematical expectation symbol |
|
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 |
|
Excess Mu for GMV portfolio |
|
Excess Mu for tangency portfolio |
|
Set of possible values for excess Mu vector |
|
Normalized STARR ratio |
|
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 |
|
Simple annual rate of return, calculated on [0,T] period |
|
Expected logarithmic rate of return, calculated on [0,T] period |
|
Portfolio expected excess growth rate in the analytical model |
|
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 |