Konstrukcja portfeli Markowitza i portfeli o minimalnej semiwariancji uwzględniających pośrednie i bezpośrednie formy inwestowania w towary

Investing in commodities is a good alternative to investments in financial assets. Adding commodities to portfolio allows to obtain benefits from its diversification. Nevertheless, it is believed that share of commodities should not exceed 30 percent. Thus, the aim of the paper is to verify the recommendation on the Polish market. The analysis encompasses stocks of some enterprises listed at the Warsaw Stock Exchange, precious metals and agricultural items. In order to determine shares of separate assets within portfolio the following two methods are used: standard Markowitz model and SEM model that minimizes portfolio semivariance.