Wprowadzenie do analizy portfela w R
Kris Boudt
Professor, Free University Brussels & Amsterdam
$w$: macierz kolumnowa $N$ x 1 wag portfela:
$$w = \left[{\begin{array}{c} w_1 \\ w_2 \\ ...\\w_N\end{array} }\right]$$
$\mu$: macierz kolumnowa $N$ x 1 oczekiwanych stóp zwrotu:
$$\mu = \left[{\begin{array}{c} \mu_1 \\ \mu_2 \\ ...\\ \mu_N\end{array} }\right]$$
$R$: macierz kolumnowa $N$ x 1 stóp zwrotu aktywów:
$$ \color{red} {R =\left[{\begin{array}{c} R_1 \\ R_2 \\ ...\\R_N\end{array} }\right]}$$
$\Sigma$: macierz kowariancji $N$ x $N$ dla $N$ stóp zwrotu aktywów:
$$w = \left[ {\begin{array}{cccc} {\large \sigma^2_{1}} & \sigma_{12} & ... & \sigma_{1N} \\ \sigma_{21} & {\large \sigma^2_{2}} & ... & \sigma_{2N} \\ ... & ... & ... & ... \\ \sigma_{N1} & \sigma_{N2} & ... & {\large \sigma^2_{N}} \end{array} } \right]$$



$$w = \left[{\begin{array}{c} w_1 \\ w_2 \\ ...\\w_N\end{array} }\right]$$
$$w' = \left[{\begin{array}{c} w_1\ w_2\ ...\ w_N\end{array} }\right]$$



Wprowadzenie do analizy portfela w R