{"id":45024,"date":"2025-03-25T11:30:00","date_gmt":"2025-03-25T10:30:00","guid":{"rendered":"https:\/\/www.investglass.com\/?p=45024"},"modified":"2025-03-26T09:11:24","modified_gmt":"2025-03-26T08:11:24","slug":"%d8%a7%d9%84%d8%b1%d8%b3%d9%85-%d8%a7%d9%84%d8%a8%d9%8a%d8%a7%d9%86%d9%8a-%d9%84%d9%84%d8%ad%d8%af%d9%88%d8%af-%d8%a7%d9%84%d9%81%d8%b9%d8%a7%d9%84%d8%a9-%d8%af%d9%84%d9%8a%d9%84-%d9%84%d9%84%d8%a7","status":"publish","type":"post","link":"https:\/\/www.investglass.com\/ar\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/","title":{"rendered":"\u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629: \u062f\u0644\u064a\u0644 \u0644\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0627\u0644\u0623\u0643\u062b\u0631 \u0630\u0643\u0627\u0621\u064b"},"content":{"rendered":"<p class=\"wp-block-paragraph\">\u064a\u0648\u0636\u062d \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0623\u0641\u0636\u0644 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u062a\u062d\u0642\u064a\u0642 \u0623\u0642\u0635\u0649 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0639\u0646\u062f \u0643\u0644 \u0645\u0633\u062a\u0648\u0649 \u0645\u0646 \u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629. \u0633\u064a\u0648\u0636\u062d \u0647\u0630\u0627 \u0627\u0644\u062f\u0644\u064a\u0644 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0647\u0630\u0627 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0623\u0643\u062b\u0631 \u0630\u0643\u0627\u0621\u064b.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-takeaways\">\u0627\u0644\u0648\u062c\u0628\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><p>\u062a\u0645\u062b\u0644 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0645\u062b\u0644\u0649 \u0627\u0644\u062a\u064a \u062a\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0645\u0645\u0627 \u064a\u0633\u0627\u0639\u062f \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0641\u064a \u0645\u0648\u0627\u0621\u0645\u0629 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a\u0647\u0645 \u0645\u0639 \u0627\u0644\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0648\u0645\u062f\u0649 \u062a\u062d\u0645\u0644\u0647\u0645 \u0644\u0644\u0645\u062e\u0627\u0637\u0631.<\/p><\/li>\n\n\n\n<li><p>\u064a\u062a\u0636\u0645\u0646 \u0631\u0633\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0651\u0627\u0644\u0629 \u0628\u064a\u0627\u0646\u064a\u064b\u0627 \u0631\u0633\u0645 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0645\u0646 \u0623\u0635\u0648\u0644 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0623\u0641\u0636\u0644 \u0645\u0641\u0627\u0636\u0644\u0627\u062a \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0627\u0644\u0639\u0627\u0626\u062f\u0627\u062a \u0628\u0635\u0631\u064a\u064b\u0627\u060c \u0648\u0639\u0627\u062f\u0629\u064b \u0645\u0627 \u064a\u062a\u0645 \u062a\u0634\u0643\u064a\u0644 \u0642\u0637\u0639 \u0632\u0627\u0626\u062f \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0645\u0639 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u062d\u0648\u0631 \u0635 \u0648\u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0644\u0644\u0645\u062e\u0627\u0637\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u062d\u0648\u0631 \u0633.<\/p><\/li>\n\n\n\n<li><p>\u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0641\u0627\u0626\u062f\u062a\u0647\u0627 \u0641\u064a \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u060c \u0641\u0625\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0647\u0627 \u0642\u064a\u0648\u062f\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631 \u0648\u0638\u0631\u0648\u0641 \u0627\u0644\u0633\u0648\u0642\u060c \u0645\u0645\u0627 \u064a\u0633\u062a\u0644\u0632\u0645 \u0627\u062a\u0628\u0627\u0639 \u0646\u0647\u062c \u062d\u0630\u0631 \u0641\u064a \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629.<\/p><\/li>\n\n\n\n<li><p>\u064a\u0648\u0636\u062d \u062e\u0637 \u062a\u062e\u0635\u064a\u0635 \u0631\u0623\u0633 \u0627\u0644\u0645\u0627\u0644 (CAL) \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0627\u0644\u0639\u0627\u0626\u062f\u0627\u062a \u0627\u0644\u0645\u062a\u0627\u062d\u0629 \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062c\u0645\u0639 \u0628\u064a\u0646 \u0627\u0644\u0623\u0635\u0648\u0644 \u0627\u0644\u062e\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0645\u062d\u0641\u0638\u0629 \u0645\u0646 \u0627\u0644\u0623\u0635\u0648\u0644 \u0627\u0644\u0645\u062d\u0641\u0648\u0641\u0629 \u0628\u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0645\u0645\u0627 \u064a\u0633\u0627\u0639\u062f \u0639\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0645\u062b\u0644\u0649 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629.<\/p><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-the-concept-of-the-efficient-frontier-and-expected-return\">\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0651\u0627\u0644\u0629 \u0648\u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u064f\u0639\u062f \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u062c\u0627\u0646\u0628\u064b\u0627 \u0623\u0633\u0627\u0633\u064a\u064b\u0627 \u0645\u0646 \u062c\u0648\u0627\u0646\u0628 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u062d\u062f\u064a\u062b\u0629\u060c \u062d\u064a\u062b \u064a\u062d\u062f\u062f \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u062a\u064a \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u062a\u062d\u0642\u0642 \u0623\u0639\u0644\u0649 \u0639\u0627\u0626\u062f \u0645\u0642\u0627\u0628\u0644 \u0643\u0644 \u0632\u064a\u0627\u062f\u0629 \u0641\u064a \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629. \u062a\u0635\u0648\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0639\u0644\u0649 \u0639\u0628\u0631 \u062c\u0645\u064a\u0639 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u062a\u0635\u0648\u0631\u0647\u0627\u060c \u0648\u064a\u0639\u0631\u0636 \u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0627\u0644\u0645\u062a\u0641\u0648\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0627\u0644\u0639\u0627\u0626\u062f. \u064a\u064f\u0639\u0631\u0641 \u0647\u0630\u0627 \u0628\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629. \u0645\u0639 \u0632\u064a\u0627\u062f\u0629 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0644\u0627 \u062a\u0632\u064a\u062f \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0628\u0646\u0641\u0633 \u0627\u0644\u0645\u0639\u062f\u0644\u060c \u0645\u0645\u0627 \u064a\u0633\u0644\u0637 \u0627\u0644\u0636\u0648\u0621 \u0639\u0644\u0649 \u062a\u0646\u0627\u0642\u0635 \u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0647\u0627\u0645\u0634\u064a \u0644\u0644\u0645\u062e\u0627\u0637\u0631. \u062a\u064f\u0639\u062a\u0628\u0631 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0648\u0627\u0642\u0639\u0629 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0645\u0633\u0627\u0631 \u0647\u064a \u0627\u0644\u0623\u0645\u062b\u0644 \u0644\u0623\u0646\u0647\u0627 \u062a\u062d\u0642\u0642 \u0639\u0648\u0627\u0626\u062f \u0623\u0643\u0628\u0631 \u0628\u0645\u062e\u0627\u0637\u0631 \u0645\u0643\u0627\u0641\u0626\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u0642\u0639 \u062a\u062d\u062a\u0647.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0624\u062f\u064a \u062a\u0636\u0645\u064a\u0646 \u0623\u0635\u0644 \u062e\u0627\u0644\u064d \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0625\u0644\u0649 \u0623\u0639\u0644\u0649\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0628\u0639\u0648\u0627\u0626\u062f \u0623\u0639\u0644\u0649 \u0639\u0646\u062f \u0646\u0641\u0633 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629 \u0623\u0648 \u0646\u0641\u0633 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u0645\u062e\u0627\u0637\u0631\u0629 \u0623\u0642\u0644.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0633\u064a\u062c\u062f \u0627\u0644\u0623\u0641\u0631\u0627\u062f \u062d\u062f\u0648\u062f\u0647\u0645 \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0645 \u0645\u062a\u0623\u062b\u0631\u064a\u0646 \u0628\u0639\u0646\u0627\u0635\u0631 \u0645\u062b\u0644 \u062a\u0646\u0648\u0639 \u0627\u0644\u0623\u0635\u0648\u0644 \u0648\u0627\u0644\u0631\u0627\u062d\u0629 \u0627\u0644\u0634\u062e\u0635\u064a\u0629 \u0645\u0639 \u0627\u0644\u062a\u0639\u0631\u0636 \u0627\u0644\u0645\u0627\u0644\u064a. \u0625\u0646 \u0642\u0631\u0628 \u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u0639\u064a\u0627\u0631 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0641\u0639\u0627\u0644\u064a\u062a\u0647\u0627 \u0623\u0648 \u0639\u062f\u0645 \u0643\u0641\u0627\u0621\u062a\u0647\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0645\u0627 \u064a\u0645\u0643\u0646 \u062a\u062d\u0642\u064a\u0642\u0647 \u0646\u0638\u0631\u064a\u064b\u0627 \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0641\u0631\u064a\u062f\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0641\u0631\u062f. \u064a\u0639\u062f \u0641\u0647\u0645 \u0627\u0644\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0627\u0644\u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u0648\u0627\u0644\u0648\u0636\u0639 \u0627\u0644\u0636\u0631\u064a\u0628\u064a \u0648\u0623\u0641\u0642 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u060c \u0623\u0645\u0631\u064b\u0627 \u0628\u0627\u0644\u063a \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0644\u0625\u0646\u0634\u0627\u0621 \u0645\u062d\u0641\u0638\u0629 \u062a\u062a\u0645\u0627\u0634\u0649 \u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u0623\u0647\u062f\u0627\u0641. \u064a\u0645\u0643\u0651\u0646\u0643 \u062a\u0642\u064a\u064a\u0645 \u0645\u0648\u0642\u0639 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a\u0643 \u0639\u0644\u0649 \u0637\u0648\u0644 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0645\u0646 \u0645\u0648\u0627\u0621\u0645\u0629 \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a\u0643 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0645\u0639 \u0623\u0647\u062f\u0627\u0641\u0643 \u0648\u0627\u0633\u062a\u0639\u062f\u0627\u062f\u0643 \u0644\u062a\u062d\u0645\u0644 \u0627\u0644\u0645\u062e\u0627\u0637\u0631.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Represented through graphical means, the efficient frontier maps out how potential returns (expected returns) correlate with associated uncertainties (standard deviation), providing insights for investors seeking elevated gains without exceeding a particular threshold of riskiness. By employing this analytical model, individuals can pinpoint which collection of assets forms the most advantageous compilation under specific constraints essentially tailoring their investment approach so that it offers premium yields suitable for their individual aversion or appetite towards economic insecurity.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-how-to-graph-the-efficient-frontier\">\u0643\u064a\u0641\u064a\u0629 \u0631\u0633\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0628\u064a\u0627\u0646\u064a\u064b\u0627<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"684\" src=\"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-3cip5XcQm7k-unsplash-1024x684.jpg\" alt=\"\u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629\" class=\"wp-image-45029\" srcset=\"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-3cip5XcQm7k-unsplash-1024x684.jpg 1024w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-3cip5XcQm7k-unsplash-300x200.jpg 300w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-3cip5XcQm7k-unsplash-768x513.jpg 768w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-3cip5XcQm7k-unsplash-1536x1025.jpg 1536w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-3cip5XcQm7k-unsplash-scaled.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">To produce an efficient frontier chart, you must map out every conceivable mix of assets in a portfolio to pinpoint the configurations that offer the highest returns for a given risk level. On this graph, the expected return is placed on the y-axis while standard deviation a measure of risk is positioned on the x-axis. The efficient frontier rates portfolios by plotting them on a coordinate plane, where risk is measured on the x-axis and return on the y-axis. This layout offers investors a vivid depiction of how risk correlates with potential rewards.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">By determining both expected return and standard deviation for diverse combinations within your portfolio, plotting these figures will illuminate where your portfolios sit relative to each other and identify those that form part of what\u2019s known as \u2018the efficient frontier\u2019 which serves as their upper limit curve resembling a hyperbolic shape due to diminishing additional gains from increased risks. Including various asset classes when plotting the efficient frontier is crucial as it ensures a comprehensive analysis of potential portfolio configurations.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">With such an efficient frontier diagram at hand, investors have at their disposal visual tools enabling them to evaluate varying portfolio options quickly. It becomes simpler to discern which specific arrangements provide optimal balance between assumed risks and anticipated earnings by examining how they line up along or near this effective boundary the hallmark of proficient investment planning. This balance between maximizing returns and minimizing risk is crucial, particularly in relation to the efficient frontier.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-mathematical-foundations-of-the-efficient-frontier\">\u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0633\u062a\u0646\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0651\u0627\u0644\u0629 \u0625\u0644\u0649 \u0645\u0628\u0627\u062f\u0626 \u062a\u062d\u0633\u064a\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0645\u062a\u0648\u0633\u0637\u060c \u0648\u0647\u0648 \u0625\u0637\u0627\u0631 \u0631\u064a\u0627\u0636\u064a \u064a\u0647\u062f\u0641 \u0625\u0644\u0649 \u0625\u0646\u0634\u0627\u0621 \u0645\u062d\u0627\u0641\u0638 \u0644\u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631. \u064a\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0627 \u0627\u0644\u0646\u0647\u062c \u0627\u0644\u0645\u062a\u0648\u0633\u0637 (\u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639) \u0648\u0627\u0644\u062a\u0628\u0627\u064a\u0646 (\u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a) \u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0623\u0635\u0648\u0644 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0632\u064a\u062c \u0627\u0644\u0623\u0645\u062b\u0644 \u0644\u0644\u0623\u0635\u0648\u0644.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0644\u0645\u0642\u064a\u0627\u0633 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0647\u0648 \u0646\u0633\u0628\u0629 \u0634\u0627\u0631\u0628 \u0627\u0644\u062a\u064a \u062a\u0642\u064a\u0633 \u0639\u0627\u0626\u062f \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0645\u062e\u0627\u0637\u0631\u0647. \u062a\u062a\u0645\u062a\u0639 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0628\u0646\u0633\u0628 \u0634\u0627\u0631\u0628 \u0627\u0644\u0645\u062d\u0633\u0651\u0646\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646\u0647\u0627 \u062a\u0642\u062f\u0645 \u0623\u0641\u0636\u0644 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u062d\u0633\u0628 \u0627\u0644\u0645\u062e\u0627\u0637\u0631. \u062a\u0642\u062f\u0645 \u0647\u0630\u0647 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0623\u0639\u0644\u0649 \u0639\u0627\u0626\u062f \u0645\u062a\u0648\u0642\u0639 \u0644\u0643\u0644 \u0648\u062d\u062f\u0629 \u0645\u062e\u0627\u0637\u0631\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u062d\u062f\u062f \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u062a\u0642\u0644\u0628 \u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629. \u0648\u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0644\u0631\u0633\u0645 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0643\u0644 \u0645\u062d\u0641\u0638\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0627\u0639\u062f \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0639\u0644\u0649 \u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0627\u0636\u0644\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0627\u0644\u0639\u0627\u0626\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0638\u0647\u0631 \u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0638\u0644 \u062d\u064a\u062b \u064a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u062e\u0627\u0644\u064a \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0645\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629. \u0648\u062a\u0645\u062b\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0623\u0641\u0636\u0644 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u062d\u0633\u0628 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u062d\u064a\u062b \u062a\u062c\u0645\u0639 \u0628\u064a\u0646 \u0627\u0644\u0623\u0635\u0648\u0644 \u0627\u0644\u062e\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 (\u0645\u062b\u0644 \u0633\u0646\u062f\u0627\u062a \u0627\u0644\u062e\u0632\u0627\u0646\u0629) \u0645\u0639 \u0645\u0632\u064a\u062c \u0645\u0646 \u0627\u0644\u0623\u0635\u0648\u0644 \u0627\u0644\u0623\u062e\u0631\u0649 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0623\u062f\u0627\u0621. \u064a\u064f\u0645\u0643\u0651\u0646 \u0641\u0647\u0645 \u0647\u0630\u0647 \u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0645\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0648\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0645\u0633\u062a\u0646\u064a\u0631\u0629 \u0628\u0634\u0623\u0646 \u0633\u0639\u0631 \u0627\u0644\u0641\u0627\u0626\u062f\u0629 \u0627\u0644\u062e\u0627\u0644\u064a \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631. \u0648\u064a\u0633\u062a\u062e\u062f\u0645 \u0645\u062f\u064a\u0631\u0648 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u062a\u062d\u0642\u064a\u0642 \u0623\u0641\u0636\u0644 \u062a\u0648\u0627\u0632\u0646 \u0645\u0645\u0643\u0646 \u0628\u064a\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0627\u0644\u0639\u0627\u0626\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-practical-example-of-an-efficient-frontier\">\u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">To illustrate the efficient frontier concept, let\u2019s examine a tangible example. Imagine creating various combinations of portfolios to determine which ones yield the highest returns for an established level of risk. These varying combinations are represented on a chart, culminating in what is known as the efficient frontier the top edge that delineates these points according to risk and return.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0644\u0646\u0623\u062e\u0630 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 (\u0623) \u0643\u0645\u062b\u0627\u0644: \u0641\u0647\u064a \u062a\u062a\u0648\u0642\u0639 \u0639\u0627\u0626\u062f\u064b\u0627 \u0642\u062f\u0631\u0647 8.5%\u060c \u0645\u0635\u062d\u0648\u0628\u064b\u0627 \u0628\u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u064a\u0627\u0631\u064a (\u0645\u062e\u0627\u0637\u0631\u0629) \u0642\u062f\u0631\u0647 8%. \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u060c \u062a\u062a\u0648\u0642\u0639 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 (\u0628) \u0646\u0641\u0633 \u0645\u0639\u062f\u0644 \u0627\u0644\u0639\u0627\u0626\u062f \u0648\u0644\u0643\u0646\u0647\u0627 \u062a\u062d\u0645\u0644 \u0627\u0646\u062d\u0631\u0627\u0641\u064b\u0627 \u0645\u0639\u064a\u0627\u0631\u064a\u064b\u0627 \u0623\u0639\u0644\u0649 \u0639\u0646\u062f 9.5%. \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 (\u0623) \u0645\u0631\u063a\u0648\u0628\u0629 \u0623\u0643\u062b\u0631 \u0644\u0623\u0646\u0647\u0627 \u062a\u0648\u0641\u0631 \u0639\u0648\u0627\u0626\u062f \u0645\u0643\u0627\u0641\u0626\u0629 \u0645\u0639 \u0645\u062e\u0627\u0637\u0631 \u0623\u0642\u0644 \u0645\u0642\u0627\u0631\u0646\u0629\u064b \u0628\u0627\u0644\u0645\u062d\u0641\u0638\u0629 (\u0628). \u064a\u0645\u0643\u0646 \u0631\u0635\u062f \u0647\u0630\u0627 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0628\u0633\u0647\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u062d\u064a\u062b \u062a\u062a\u0645\u0627\u0634\u0649 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 (\u0623) \u0641\u0642\u0637 \u0645\u0639 \u0647\u0630\u0627 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0639\u0644\u0649 \u0628\u064a\u0646\u0645\u0627 \u062a\u0642\u0635\u0631 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 (\u0628) \u0639\u0646 \u0630\u0644\u0643.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To realign your portfolio in accordance with the principles outlined by the efficient frontier, alterations in asset allocation may be necessary. Employing strategic diversification across different asset classes has potential advantages it could place one\u2019s investments directly on this desired path towards efficiency and heighten returns suitable for any given amount of accepted risk. Aligning with investment objectives can help in realigning portfolios according to the efficient frontier, ensuring that the portfolio remains optimized for the best possible returns relative to the risk.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-applications-in-modern-portfolio-theory\">\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u062d\u062f\u064a\u062b\u0629<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-4fbKtaTYd1Q-unsplash-1-1024x683.jpg\" alt=\"\" class=\"wp-image-46432\" srcset=\"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-4fbKtaTYd1Q-unsplash-1-1024x683.jpg 1024w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-4fbKtaTYd1Q-unsplash-1-300x200.jpg 300w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-4fbKtaTYd1Q-unsplash-1-768x512.jpg 768w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-4fbKtaTYd1Q-unsplash-1-1536x1025.jpg 1536w, https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-4fbKtaTYd1Q-unsplash-1-scaled.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0639\u062a\u0628\u0631 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 (MPT) \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0645\u0641\u0647\u0648\u0645\u064b\u0627 \u062d\u0627\u0633\u0645\u064b\u0627\u060c \u062d\u064a\u062b \u064a\u0635\u0648\u0631 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u0646\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u062a\u064a \u062a\u0648\u0641\u0631 \u0623\u0642\u0635\u0649 \u0639\u0627\u0626\u062f\u0627\u062a \u0645\u062a\u0648\u0642\u0639\u0629 \u0644\u0643\u0644 \u0645\u0633\u062a\u0648\u0649 \u0645\u0646 \u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629. \u0623\u0637\u0644\u0642 \u0647\u0627\u0631\u064a \u0645\u0627\u0631\u0643\u0648\u064a\u062a\u0632 \u0646\u0638\u0631\u064a\u0629 MPT \u0641\u064a \u0639\u0627\u0645 1952\u060c \u062d\u064a\u062b \u0642\u0627\u0645 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0648\u0636\u064a\u062d \u0643\u064a\u0641\u064a\u0629 \u062a\u062c\u0645\u064a\u0639 \u0645\u062d\u0641\u0638\u0629 \u0645\u062b\u0627\u0644\u064a\u0629 \u062a\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u062e\u0627\u0637\u0631 \u0645\u062d\u062f\u062f\u060c \u0648\u062a\u0644\u0628\u064a \u0627\u062d\u062a\u064a\u0627\u062c\u0627\u062a \u0627\u0644\u0623\u0634\u062e\u0627\u0635 \u0627\u0644\u0630\u064a\u0646 \u0644\u0627 \u064a\u062d\u0628\u0648\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629 \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062a\u062d\u062f\u064a\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0644\u062a\u0646\u0648\u064a\u0639 \u0647\u0648 \u0623\u062d\u062f \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0633\u064a\u0627\u0633\u0629 \u062a\u0646\u0648\u064a\u0639 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629. \u0641\u0647\u0648 \u064a\u0633\u062a\u0644\u0632\u0645 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a \u0639\u0644\u0649 \u0623\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u0623\u0635\u0648\u0644\u060c \u0648\u0647\u0648 \u0628\u0645\u062b\u0627\u0628\u0629 \u0637\u0631\u064a\u0642\u0629 \u0644\u062a\u0642\u0644\u064a\u0644 \u0645\u062e\u0627\u0637\u0631 \u0627\u0644\u0645\u062d\u0641\u0638\u0629. \u062a\u0639\u0631\u0636 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0628\u0634\u0643\u0644 \u0628\u064a\u0627\u0646\u064a \u0647\u0630\u0647 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u062a\u0646\u0648\u064a\u0639 \u0648\u0623\u062b\u0631\u0647 \u0639\u0644\u0649 \u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0639\u0646\u062f \u0643\u0644 \u0645\u0646\u0639\u0637\u0641 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0627\u0644\u0645\u0642\u0628\u0648\u0644\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Simplifying matters is the two mutual fund theorem a vital aspect indicating that any given portfolio positioned along the efficient frontier can be replicated through combining just two other different portfolios found on this same boundary line. This notion enables more straightforward formulation of an optimal portfolio suited uniquely to diverse financial objectives and individual levels of comfort with uncertainty.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As time progresses, modern iterations have taken into account even broader categories beyond stocks and bonds encompassing crypto-assets and commodities to adapt efficiently structured frontiers meeting varied investor needs from conservative all the way up to aggressive stances. Understanding how the efficient frontier functions within MPT supports both professional managers overseeing portfolios as well as personal investors when designing effective investment tactics aligned with their targets.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ai-and-data-analysis-in-portfolio-optimization\">\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0641\u064a \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u062a\u0645 \u0625\u062d\u062f\u0627\u062b \u062b\u0648\u0631\u0629 \u0641\u064a \u0645\u062c\u0627\u0644 \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a class=\"wpil_keyword_link\" href=\"https:\/\/www.investglass.com\/ar\/%d8%a3%d8%af%d9%88%d8%a7%d8%aa-%d8%a7%d9%84%d8%a3%d8%aa%d9%85%d8%aa%d8%a9\/\" target=\"_blank\" rel=\"noopener\" title=\"\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a\" data-wpil-keyword-link=\"linked\" data-wpil-monitor-id=\"5124\">\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a<\/a> (\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a) \u0648\u062a\u062d\u0644\u064a\u0644\u0627\u062a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0639\u062f\u064a\u0644 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a \u0627\u0644\u0642\u0627\u0626\u0645 \u0639\u0644\u0649 \u062a\u0642\u064a\u064a\u0645 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0628\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a\u060c \u064a\u0645\u0643\u0646 \u0644\u0644\u0645\u062d\u0627\u0641\u0638 \u0623\u0646 \u062a\u0642\u0644\u0644 \u0645\u0646 \u0636\u0639\u0641\u0647\u0627 \u0645\u0639 \u062a\u0639\u0632\u064a\u0632 \u0643\u0644 \u0645\u0646 \u0627\u0644\u0633\u0631\u0639\u0629 \u0648\u0627\u0644\u062f\u0642\u0629 \u0641\u064a \u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0635\u0641\u0642\u0627\u062a\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u062a\u0642\u0644\u064a\u0644 \u0623\u0648\u062c\u0647 \u0627\u0644\u0642\u0635\u0648\u0631.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u0639\u0644\u064f\u0651\u0645 \u0627\u0644\u0622\u0644\u064a \u0627\u0644\u062a\u064a \u062a\u0641\u062d\u0635 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u0646\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0645\u062b\u0644 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0627\u0644\u0633\u0648\u0642 \u0648\u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f\u064a\u0629 \u0648\u0627\u0644\u0645\u0639\u0646\u0648\u064a\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0629\u060c \u064a\u0645\u0643\u0646 \u062a\u0646\u0642\u064a\u062d \u062a\u062e\u0635\u064a\u0635 \u0627\u0644\u0623\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0641\u0648\u0631 \u0644\u062a\u062a\u0646\u0627\u0633\u0628 \u0645\u0639 \u0627\u0644\u0638\u0631\u0648\u0641 \u0627\u0644\u062d\u0627\u0644\u064a\u0629. \u062a\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0647 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0645\u062a\u0642\u062f\u0645\u0629 \u0623\u062f\u0627\u0621 \u0627\u0644\u0633\u0648\u0642 \u0627\u0644\u0633\u0627\u0628\u0642 \u0644\u062a\u0634\u0643\u064a\u0644 \u0645\u062d\u0627\u0641\u0638 \u0641\u0639\u0627\u0644\u0629 \u0628\u0634\u0643\u0644 \u0645\u0633\u062a\u0642\u0644. \u064a\u0645\u0643\u0646 \u0644\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0644\u064a\u0644 \u0643\u0645\u064a\u0627\u062a \u0647\u0627\u0626\u0644\u0629 \u0645\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0631\u064a\u062e\u064a\u0629 \u0648\u0627\u0644\u0641\u0648\u0631\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0648\u0641\u0631 \u062a\u0648\u0642\u0639\u0627\u062a \u0623\u0648\u0636\u062d \u0644\u0644\u0623\u062f\u0627\u0621 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u0637\u0628\u0642 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0645\u062d\u0627\u0643\u0627\u0629 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648 \u0644\u062a\u0648\u0642\u0639 \u0627\u0644\u0622\u0644\u0627\u0641 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0635\u0648\u0644 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u062d\u0627\u0641\u0638. \u064a\u062a\u0646\u0628\u0623 \u0647\u0630\u0627 \u0627\u0644\u0646\u0647\u062c \u0628\u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0645\u0639 \u0645\u0631\u0627\u0639\u0627\u0629 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0645\u0645\u0627 \u064a\u0633\u0627\u0639\u062f \u0645\u062f\u064a\u0631\u064a \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0639\u0644\u0649 \u0627\u062a\u062e\u0627\u0630 \u062e\u064a\u0627\u0631\u0627\u062a \u0645\u0633\u062a\u0646\u064a\u0631\u0629 \u0645\u062f\u0639\u0648\u0645\u0629 \u0628\u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0625\u0646 \u062f\u0645\u062c \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0645\u0639 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0634\u0627\u0645\u0644 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u064a\u064f\u0645\u0643\u0650\u0651\u0646 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0623\u062b\u0646\u0627\u0621 \u062a\u0648\u062c\u064a\u0647\u0647\u0645 \u0641\u064a \u0627\u0644\u0623\u0633\u0648\u0627\u0642 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0627\u0644\u064a\u0648\u0645 \u0646\u062d\u0648 \u0627\u0644\u062d\u0641\u0627\u0638 \u0639\u0644\u0649 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a\u0647\u0645 \u0639\u0644\u0649 \u0637\u0648\u0644 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-special-considerations-and-limitations-of-portfolio-risk\">\u0627\u0639\u062a\u0628\u0627\u0631\u0627\u062a \u062e\u0627\u0635\u0629 \u0648\u062d\u062f\u0648\u062f \u0645\u062e\u0627\u0637\u0631 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u064f\u0639\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0628\u0645\u062b\u0627\u0628\u0629 \u0646\u0645\u0648\u0630\u062c \u0642\u064a\u0651\u0645\u060c \u0625\u0644\u0627 \u0623\u0646\u0647\u0627 \u062a\u0639\u0645\u0644 \u0641\u064a \u0638\u0644 \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0645\u0639\u064a\u0646\u0629 \u0642\u062f \u0644\u0627 \u062a\u062a\u0645\u0627\u0634\u0649 \u062a\u0645\u0627\u0645\u064b\u0627 \u0645\u0639 \u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631 \u0627\u0644\u0641\u0639\u0644\u064a. \u0641\u0647\u0648 \u064a\u0633\u062a\u0646\u062f \u0625\u0644\u0649 \u0641\u0643\u0631\u0629 \u0623\u0646 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0639\u0642\u0644\u0627\u0646\u064a\u0648\u0646 \u0648\u064a\u062a\u062c\u0646\u0628\u0648\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629 \u0628\u0637\u0628\u064a\u0639\u062a\u0647\u0645\u060c \u0648\u0647\u0648 \u0645\u0627 \u0644\u0627 \u064a\u0645\u062b\u0644 \u062f\u0627\u0626\u0645\u064b\u0627 \u062a\u0645\u062b\u064a\u0644\u064b\u0627 \u062f\u0642\u064a\u0642\u064b\u0627 \u0644\u0644\u0645\u0648\u0627\u0642\u0641 \u0627\u0644\u0648\u0627\u0642\u0639\u064a\u0629 \u062a\u062c\u0627\u0647 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631. \u064a\u0634\u064a\u0631 \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0625\u0644\u0649 \u0623\u0646 \u0627\u0644\u062a\u0642\u0644\u0628\u0627\u062a \u0641\u064a \u0623\u0633\u0639\u0627\u0631 \u0627\u0644\u0633\u0648\u0642 \u0644\u0627 \u062a\u062a\u0623\u062b\u0631 \u0628\u0643\u0645\u064a\u0629 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u064a\u0646 - \u0648\u0647\u0648 \u062a\u0628\u0633\u064a\u0637 \u0642\u062f \u0644\u0627 \u064a\u0643\u0648\u0646 \u0635\u062d\u064a\u062d\u064b\u0627 \u0641\u064a \u0627\u0644\u0623\u0633\u0648\u0627\u0642 \u0627\u0644\u0645\u0639\u0642\u062f\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">There\u2019s an implicit assumption within the model concerning equal opportunities for all investors to borrow at rates free from risk. Such access can vary significantly between individuals or institutions, thereby influencing how realistic various investment strategies may be. While the efficient frontier supposes asset returns adhere to a normal distribution curve characterized by symmetry around its mean actual return patterns could diverge from this expected normativity and display significant skewness or kurtosis.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u062d\u062a\u0649 \u0645\u0639 \u0648\u062c\u0648\u062f \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u0645\u062a\u0623\u0635\u0644\u0629 \u0627\u0644\u0645\u062a\u0623\u0635\u0644\u0629 \u0641\u064a \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a\u0647\u0627\u060c \u0644\u0627 \u062a\u0632\u0627\u0644 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u062a\u0648\u0641\u0631 \u0646\u0638\u0631\u0629 \u062b\u0627\u0642\u0628\u0629 \u0644\u0645\u0648\u0627\u0632\u0646\u0629 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0645\u0642\u0627\u0628\u0644 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0627\u0639\u062a\u0631\u0627\u0641 \u0628\u0627\u0644\u0645\u062d\u0627\u0630\u064a\u0631 \u0627\u0644\u0645\u0636\u0645\u0646\u0629 \u0641\u064a\u0647 \u0648\u0627\u0633\u062a\u0643\u0645\u0627\u0644\u0647 \u0628\u0631\u0624\u0649 \u0648\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u062a\u062d\u0644\u064a\u0644\u0627\u062a \u0625\u0636\u0627\u0641\u064a\u0629\u060c \u064a\u0645\u0643\u0646 \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0627\u0644\u0645\u0637\u0644\u0639\u064a\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u0637\u0627\u0631 \u0627\u0644\u0639\u0645\u0644 \u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629 \u0639\u0646\u062f \u0635\u064a\u0627\u063a\u0629 \u0645\u062d\u0627\u0641\u0638\u0647\u0645 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629\u060c \u0648\u0627\u0644\u0633\u0639\u064a \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0645\u0633\u062a\u0646\u064a\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u0623\u0645\u062b\u0644 \u0648\u0633\u0637 \u062d\u0627\u0644\u0627\u062a \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0641\u0647\u0648\u0645 \u062a\u0646\u0627\u0642\u0635 \u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u062d\u062f\u064a \u0647\u0648 \u0623\u062d\u062f \u0642\u064a\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629\u060c \u0644\u0623\u0646\u0647 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0641\u0627\u0626\u062f\u0629 \u0627\u0644\u0645\u0643\u062a\u0633\u0628\u0629 \u0645\u0646 \u0648\u062d\u062f\u0629 \u0625\u0636\u0627\u0641\u064a\u0629 \u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u062a\u062a\u0646\u0627\u0642\u0635 \u0645\u0639 \u0632\u064a\u0627\u062f\u0629 \u062d\u062c\u0645 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-investment-insights-from-the-efficient-frontier\">\u0631\u0624\u0649 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0645\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u064f\u0639\u062f \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0623\u062f\u0627\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0627\u0644\u0630\u064a\u0646 \u064a\u0647\u062f\u0641\u0648\u0646 \u0625\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u0639\u0648\u0627\u0626\u062f \u0645\u062d\u0627\u0641\u0638\u0647\u0645 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0648\u0627\u0621\u0645\u0629 \u062e\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0645\u0639 \u0645\u0648\u0642\u0639 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629\u060c \u064a\u0645\u0643\u0646 \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u062a\u0623\u0645\u064a\u0646 \u0623\u0639\u0644\u0649 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631. \u0642\u062f \u064a\u062c\u062f \u0623\u0648\u0644\u0626\u0643 \u0627\u0644\u0630\u064a\u0646 \u064a\u0631\u063a\u0628\u0648\u0646 \u0641\u064a \u062a\u062d\u0645\u0644 \u0645\u062e\u0627\u0637\u0631 \u0623\u0643\u0628\u0631 \u0623\u0646 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0645\u0648\u0636\u0648\u0639\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u0627\u0641\u0629 \u0627\u0644\u064a\u0645\u0646\u0649 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062d\u0642\u0642 \u0639\u0648\u0627\u0626\u062f \u0645\u062a\u0648\u0642\u0639\u0629 \u0623\u0639\u0644\u0649.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0642\u062f \u064a\u0646\u062c\u0630\u0628 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u0648\u0646 \u0627\u0644\u0623\u0643\u062b\u0631 \u062d\u0630\u0631\u064b\u0627 \u0646\u062d\u0648 \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0648\u0627\u0642\u0639\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0645\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0623\u0646\u0647\u0627 \u062a\u0645\u062b\u0644 \u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0623\u0642\u0644 \u0645\u0646 \u0627\u0644\u0639\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0648\u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0647\u0627. \u062e\u0637 \u062a\u062e\u0635\u064a\u0635 \u0631\u0623\u0633 \u0627\u0644\u0645\u0627\u0644 \u0647\u0648 \u0641\u0643\u0631\u0629 \u0623\u062e\u0631\u0649 \u0645\u0641\u064a\u062f\u0629 \u062a\u0634\u0631\u062d \u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0624\u062f\u064a \u0627\u0644\u062c\u0645\u0639 \u0628\u064a\u0646 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a \u0648\u0627\u0644\u0623\u0635\u0648\u0644 \u0627\u0644\u062e\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0625\u0644\u0649 \u062a\u0643\u0648\u064a\u0646 \u0645\u062d\u0627\u0641\u0638 \u0645\u062b\u0627\u0644\u064a\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0625\u0646 \u062a\u0648\u0638\u064a\u0641 \u0627\u0644\u0631\u0624\u0649 \u0627\u0644\u0645\u0633\u062a\u0642\u0627\u0629 \u0645\u0646 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0641\u0639\u0651\u0627\u0644\u0629 \u064a\u0645\u0643\u0651\u0646 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0645\u0646 \u0627\u0644\u062a\u0648\u0641\u064a\u0642 \u0628\u064a\u0646 \u062a\u0637\u0644\u0639\u0627\u062a\u0647\u0645 \u0644\u062a\u062d\u0642\u064a\u0642 \u0623\u0642\u0635\u0649 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u0623\u0631\u0628\u0627\u062d \u0648\u0628\u064a\u0646 \u0642\u062f\u0631\u062a\u0647\u0645 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0639\u0644\u0649 \u062a\u062d\u0645\u0644 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0645\u0645\u0627 \u064a\u0639\u0632\u0632 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0623\u0643\u062b\u0631 \u062d\u0643\u0645\u0629. \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0631\u0643\u064a\u0632 \u0639\u0644\u0649 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0627\u0646\u0643\u0634\u0627\u0641 \u0625\u0644\u0649 \u0623\u062f\u0646\u0649 \u062d\u062f \u0645\u0645\u0643\u0646 \u0645\u0639 \u0627\u0644\u0633\u0639\u064a \u0644\u062a\u062d\u0642\u064a\u0642 \u0646\u062a\u0627\u0626\u062c \u0645\u062a\u0648\u0642\u0639\u0629 \u0645\u062d\u0633\u0646\u0629\u060c \u062a\u0632\u0648\u062f \u0647\u0630\u0647 \u0627\u0644\u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0629 \u0627\u0644\u0623\u0641\u0631\u0627\u062f \u0628\u0646\u0647\u062c \u0645\u0648\u062c\u0647 \u0646\u062d\u0648 \u0625\u062f\u0627\u0631\u0629 \u0645\u0627\u0644\u064a\u0629 \u0645\u062f\u0631\u0648\u0633\u0629 \u0648\u0641\u0639\u0627\u0644\u0629.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-summary\">\u0627\u0644\u0645\u0644\u062e\u0635<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0641\u0647\u0648\u0645 <a href=\"https:\/\/www.investglass.com\/ar\/%d8%a7%d9%84%d8%b1%d8%b3%d9%85-%d8%a7%d9%84%d8%a8%d9%8a%d8%a7%d9%86%d9%8a-%d9%84%d9%84%d8%ad%d8%af%d9%88%d8%af-%d8%a7%d9%84%d9%81%d8%b9%d8%a7%d9%84%d8%a9-%d8%af%d9%84%d9%8a%d9%84-%d9%84%d9%84%d8%a7\/\">\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 <\/a>\u0647\u0648 \u062d\u062c\u0631 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0641\u064a \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0627\u0644\u062d\u062f\u064a\u062b\u0629\u060c \u062d\u064a\u062b \u064a\u0642\u062f\u0645 \u062a\u0635\u0648\u064a\u0631\u064b\u0627 \u0645\u0631\u0626\u064a\u064b\u0627 \u0644\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0623\u0643\u062b\u0631 \u0645\u0644\u0627\u0621\u0645\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u0642\u0642 \u0627\u0644\u062a\u0648\u0627\u0632\u0646 \u0627\u0644\u0645\u062b\u0627\u0644\u064a \u0628\u064a\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u0629 \u0648\u0627\u0644\u0639\u0627\u0626\u062f. \u0648\u062a\u0624\u062f\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u062f\u0648\u0631\u064b\u0627 \u062d\u0627\u0633\u0645\u064b\u0627 \u0641\u064a \u0641\u0647\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0627\u0639\u062f \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0639\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0641\u0627\u0636\u0644\u0629 \u0627\u0644\u0645\u062b\u0644\u0649 \u0628\u064a\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0648\u0627\u0644\u0639\u0627\u0626\u062f. \u0648\u064a\u062a\u064a\u062d \u0627\u0633\u062a\u064a\u0639\u0627\u0628 \u0645\u0628\u0627\u062f\u0626\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u0627 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0635\u064a\u0627\u063a\u0629 \u0645\u062d\u0627\u0641\u0638 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0645\u064f\u062d\u0633\u0651\u0646\u0629 \u0644\u062a\u062d\u0642\u064a\u0642 \u0623\u0642\u0635\u0649 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0639\u0646\u062f \u0623\u064a \u0645\u0633\u062a\u0648\u0649 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0627\u0644\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0623\u0647\u062f\u0627\u0641\u0647\u0645 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0648\u0631\u0627\u062d\u062a\u0647\u0645 \u0627\u0644\u0634\u062e\u0635\u064a\u0629 \u0641\u064a \u062a\u062d\u0645\u0644 \u0627\u0644\u0645\u062e\u0627\u0637\u0631.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0644\u0642\u062f \u062a\u0639\u0645\u0642\u0646\u0627 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0644\u064a\u0644 \u0641\u064a \u0643\u0644 \u0645\u0646 \u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0648\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627 \u0627\u0644\u0639\u0645\u0644\u064a\u0629\u060c \u0625\u0644\u0649 \u062c\u0627\u0646\u0628 \u062f\u0631\u0627\u0633\u0629 \u0643\u064a\u0641\u064a\u0629 \u0645\u0633\u0627\u0647\u0645\u0629 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0641\u064a \u062a\u062d\u0633\u064a\u0646 \u062a\u062d\u0633\u064a\u0646 \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629. \u0644\u0642\u062f \u062a\u0646\u0627\u0648\u0644\u0646\u0627 \u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u062a\u064a \u062a\u0648\u0627\u062c\u0647\u0647\u0627 \u0645\u0639 \u062a\u0642\u062f\u064a\u0645 \u0625\u0631\u0634\u0627\u062f\u0627\u062a \u062d\u0648\u0644 \u062a\u0633\u062e\u064a\u0631 \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0628\u0641\u0639\u0627\u0644\u064a\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u064a\u0646\u0645\u0627 \u062a\u0645\u0636\u064a \u0641\u064a \u0637\u0631\u064a\u0642\u0643 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u060c \u0636\u0639 \u0641\u064a \u0627\u0639\u062a\u0628\u0627\u0631\u0643 \u0623\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u062a\u062a\u062c\u0627\u0648\u0632 \u0643\u0648\u0646\u0647\u0627 \u0645\u062c\u0631\u062f \u0641\u0643\u0631\u0629 \u0623\u0643\u0627\u062f\u064a\u0645\u064a\u0629. \u0641\u0647\u064a \u0628\u0645\u062b\u0627\u0628\u0629 \u0628\u0648\u0635\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u062e\u064a\u0627\u0631\u0627\u062a \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0623\u0643\u062b\u0631 \u062d\u0643\u0645\u0629. \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0645\u0628\u0627\u062f\u0626\u0647\u0627 \u0628\u0639\u0646\u0627\u064a\u0629\u060c \u0641\u0625\u0646\u0643 \u0633\u062a\u0643\u0648\u0646 \u0641\u064a \u0648\u0636\u0639 \u0623\u0641\u0636\u0644 \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0629 \u0645\u062f\u0631\u0648\u0633\u0629 \u0645\u0647\u064a\u0623\u0629 \u0644\u062a\u062d\u0642\u064a\u0642 \u0646\u062a\u0627\u0626\u062c \u0645\u0627\u0644\u064a\u0629 \u0645\u062a\u0641\u0648\u0642\u0629.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-frequently-asked-questions\">\u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u0634\u0627\u0626\u0639\u0629<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-what-is-the-efficient-frontier\">\u0645\u0627 \u0647\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0647\u064a \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062a\u0645\u062b\u064a\u0644 \u0628\u064a\u0627\u0646\u064a \u064a\u0648\u0636\u062d \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u0649\u060c \u0648\u064a\u0639\u0631\u0636 \u0623\u0639\u0644\u0649 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0645\u062d\u062f\u062f\u0629 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631. \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0636\u0631\u0648\u0631\u064a \u0644\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0627\u0644\u0630\u064a\u0646 \u064a\u0633\u0639\u0648\u0646 \u0625\u0644\u0649 \u062a\u062d\u0642\u064a\u0642 \u0623\u0642\u0635\u0649 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0645\u0639 \u0625\u062f\u0627\u0631\u0629 \u062a\u0639\u0631\u0636\u0647\u0645 \u0644\u0644\u0645\u062e\u0627\u0637\u0631 \u0628\u0641\u0639\u0627\u0644\u064a\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-how-does-the-efficient-frontier-help-in-investing\">\u0643\u064a\u0641 \u062a\u0633\u0627\u0639\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0641\u064a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0633\u0627\u0639\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062d\u0627\u0641\u0638 \u0627\u0644\u062a\u064a \u062a\u0642\u062f\u0645 \u0623\u0639\u0644\u0649 \u0627\u0644\u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u062a\u062d\u0633\u064a\u0646 \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u062a\u064a\u062d \u0630\u0644\u0643 \u0639\u0645\u0644\u064a\u0629 \u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0623\u0643\u062b\u0631 \u0627\u0633\u062a\u0646\u0627\u0631\u0629 \u0641\u064a \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-what-are-the-key-assumptions-behind-the-efficient-frontier\">\u0645\u0627 \u0647\u064a \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0648\u0631\u0627\u0621 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0633\u062a\u0646\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0625\u0644\u0649 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0642\u0627\u0626\u0644\u0629 \u0628\u0623\u0646 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646 \u064a\u062a\u0635\u0631\u0641\u0648\u0646 \u0628\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0648\u064a\u0633\u0639\u0648\u0646 \u0625\u0644\u0649 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0645\u062e\u0627\u0637\u0631 \u0625\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0645\u0639 \u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u0639\u0648\u0627\u0626\u062f\u060c \u0625\u0644\u0649 \u062c\u0627\u0646\u0628 \u0627\u0644\u0627\u0639\u062a\u0642\u0627\u062f \u0628\u0623\u0646 \u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0623\u0635\u0648\u0644 \u062a\u0644\u062a\u0632\u0645 \u0628\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0648\u062c\u0647 \u0647\u0630\u0647 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0639\u0645\u0644\u064a\u0629 \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-how-does-ai-enhance-portfolio-optimization\">\u0643\u064a\u0641 \u064a\u0639\u0632\u0632 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u0639\u0644\u064f\u0651\u0645 \u0627\u0644\u0622\u0644\u064a\u060c \u064a\u0639\u0645\u0644 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0639\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u0639\u0645\u0644\u064a\u0629 \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0644\u064a\u0644 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0627\u0644\u0633\u0648\u0642 \u0648\u062a\u0639\u062f\u064a\u0644 \u062a\u062e\u0635\u064a\u0635 \u0627\u0644\u0623\u0635\u0648\u0644 \u0628\u0634\u0643\u0644 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a. \u0647\u0630\u0627 \u0627\u0644\u062a\u062d\u0633\u064a\u0646 <a href=\"https:\/\/www.investglass.com\/de\/the-4-best-lead-scoring-models-in-2023-examples\/\" target=\"_self\" rel=\"noopener noreferrer\">\u0627\u0644\u062e\u064a\u0648\u0637<\/a> \u0625\u0644\u0649 \u062a\u0646\u0641\u064a\u0630 \u0639\u0645\u0644\u064a\u0627\u062a \u062a\u062f\u0627\u0648\u0644 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629 \u0648\u0633\u0631\u0639\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u062a\u0635\u0628\u062d \u062e\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631 \u0623\u0643\u062b\u0631 \u0627\u0633\u062a\u0646\u0627\u0631\u0629\u060c \u0645\u0645\u0627 \u0642\u062f \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0632\u064a\u0627\u062f\u0629 \u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-what-are-some-limitations-of-the-efficient-frontier\">\u0645\u0627 \u0647\u064a \u0628\u0639\u0636 \u0642\u064a\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0646\u0637\u0648\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0639\u0644\u0649 \u0642\u064a\u0648\u062f \u0644\u0623\u0646\u0647\u0627 \u0642\u062f \u0644\u0627 \u062a\u0645\u062b\u0644 \u0628\u062f\u0642\u0629 \u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631 \u0641\u064a \u0627\u0644\u0639\u0627\u0644\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u060c \u0648\u062a\u0641\u062a\u0631\u0636 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0641\u064a \u062a\u0642\u0644\u0628\u0627\u062a \u0623\u0633\u0639\u0627\u0631 \u0627\u0644\u0633\u0648\u0642 \u0641\u064a\u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0639\u062f\u062f \u0627\u0644\u0645\u0633\u062a\u062b\u0645\u0631\u064a\u0646\u060c \u0648\u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0641\u0631\u0636\u064a\u0629 \u0623\u0646 \u0639\u0648\u0627\u0626\u062f \u0627\u0644\u0623\u0635\u0648\u0644 \u062a\u062a\u0628\u0639 \u062a\u0648\u0632\u064a\u0639\u064b\u0627 \u0637\u0628\u064a\u0639\u064a\u064b\u0627\u060c \u0648\u0647\u0648 \u0623\u0645\u0631 \u063a\u064a\u0631 \u0635\u062d\u064a\u062d \u0641\u064a \u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0623\u062d\u064a\u0627\u0646.<\/p>","protected":false},"excerpt":{"rendered":"<p>An efficient frontier graph illustrates the best possible investment portfolios for maximizing returns at each risk level. This guide will show how to construct and use this graph to make smarter investment decisions. Key Takeaways The Concept of the Efficient Frontier and Expected Return The concept of the efficient frontier is a fundamental aspect of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":46434,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[1398],"class_list":["post-45024","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","tag-efficient-frontier-graph"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.6.1 (Yoast SEO v27.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Mastering the Efficient Frontier Graph for Optimal Portfolio Decisions<\/title>\n<meta name=\"description\" content=\"Explore how to use the Efficient Frontier graph to make informed portfolio decisions and optimize your investments. Read the article for practical insights.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.investglass.com\/ar\/\u0627\u0644\u0631\u0633\u0645-\u0627\u0644\u0628\u064a\u0627\u0646\u064a-\u0644\u0644\u062d\u062f\u0648\u062f-\u0627\u0644\u0641\u0639\u0627\u0644\u0629-\u062f\u0644\u064a\u0644-\u0644\u0644\u0627\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Efficient Frontier Graph: A Guide to Smarter Investing\" \/>\n<meta property=\"og:description\" content=\"An efficient frontier graph illustrates the best possible investment portfolios for maximizing returns at each risk level. This guide will show how to\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.investglass.com\/ar\/\u0627\u0644\u0631\u0633\u0645-\u0627\u0644\u0628\u064a\u0627\u0646\u064a-\u0644\u0644\u062d\u062f\u0648\u062f-\u0627\u0644\u0641\u0639\u0627\u0644\u0629-\u062f\u0644\u064a\u0644-\u0644\u0644\u0627\/\" \/>\n<meta property=\"og:site_name\" content=\"InvestGlass\" \/>\n<meta property=\"article:published_time\" content=\"2025-03-25T10:30:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-03-26T08:11:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-o4p5ocpbfq4-unsplash-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2048\" \/>\n\t<meta property=\"og:image:height\" content=\"1365\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"InvestGlass\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@investglass\" \/>\n<meta name=\"twitter:site\" content=\"@investglass\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"InvestGlass\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631\" \/>\n\t<meta name=\"twitter:data2\" content=\"12 \u062f\u0642\u064a\u0642\u0629\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"\u0625\u062a\u0642\u0627\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u0649","description":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0645\u0633\u062a\u0646\u064a\u0631\u0629 \u0628\u0634\u0623\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0648\u062a\u062d\u0633\u064a\u0646 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a\u0643. \u0627\u0642\u0631\u0623 \u0627\u0644\u0645\u0642\u0627\u0644 \u0644\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0631\u0624\u0649 \u0639\u0645\u0644\u064a\u0629.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.investglass.com\/ar\/\u0627\u0644\u0631\u0633\u0645-\u0627\u0644\u0628\u064a\u0627\u0646\u064a-\u0644\u0644\u062d\u062f\u0648\u062f-\u0627\u0644\u0641\u0639\u0627\u0644\u0629-\u062f\u0644\u064a\u0644-\u0644\u0644\u0627\/","og_locale":"ar_AR","og_type":"article","og_title":"The Efficient Frontier Graph: A Guide to Smarter Investing","og_description":"An efficient frontier graph illustrates the best possible investment portfolios for maximizing returns at each risk level. This guide will show how to","og_url":"https:\/\/www.investglass.com\/ar\/\u0627\u0644\u0631\u0633\u0645-\u0627\u0644\u0628\u064a\u0627\u0646\u064a-\u0644\u0644\u062d\u062f\u0648\u062f-\u0627\u0644\u0641\u0639\u0627\u0644\u0629-\u062f\u0644\u064a\u0644-\u0644\u0644\u0627\/","og_site_name":"InvestGlass","article_published_time":"2025-03-25T10:30:00+00:00","article_modified_time":"2025-03-26T08:11:24+00:00","og_image":[{"width":2048,"height":1365,"url":"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-o4p5ocpbfq4-unsplash-scaled.jpg","type":"image\/jpeg"}],"author":"InvestGlass","twitter_card":"summary_large_image","twitter_creator":"@investglass","twitter_site":"@investglass","twitter_misc":{"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629":"InvestGlass","\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631":"12 \u062f\u0642\u064a\u0642\u0629"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"NewsArticle","@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#article","isPartOf":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/"},"author":{"name":"InvestGlass","@id":"https:\/\/www.investglass.com\/#\/schema\/person\/4682ebae5d718a2ed1b77c9dab0a1f24"},"headline":"The Efficient Frontier Graph: A Guide to Smarter Investing","datePublished":"2025-03-25T10:30:00+00:00","dateModified":"2025-03-26T08:11:24+00:00","mainEntityOfPage":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/"},"wordCount":2446,"publisher":{"@id":"https:\/\/www.investglass.com\/#organization"},"image":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#primaryimage"},"thumbnailUrl":"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-o4p5ocpbfq4-unsplash-scaled.jpg","keywords":["Efficient Frontier Graph"],"articleSection":["Article"],"inLanguage":"ar","copyrightYear":"2025","copyrightHolder":{"@id":"https:\/\/www.investglass.com\/ar\/#organization"}},{"@type":"WebPage","@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/","url":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/","name":"\u0625\u062a\u0642\u0627\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u0649","isPartOf":{"@id":"https:\/\/www.investglass.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#primaryimage"},"image":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#primaryimage"},"thumbnailUrl":"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-o4p5ocpbfq4-unsplash-scaled.jpg","datePublished":"2025-03-25T10:30:00+00:00","dateModified":"2025-03-26T08:11:24+00:00","description":"\u062a\u0639\u0631\u0651\u0641 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u0627\u062a\u062e\u0627\u0630 \u0642\u0631\u0627\u0631\u0627\u062a \u0645\u0633\u062a\u0646\u064a\u0631\u0629 \u0628\u0634\u0623\u0646 \u0627\u0644\u0645\u062d\u0641\u0638\u0629 \u0648\u062a\u062d\u0633\u064a\u0646 \u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a\u0643. \u0627\u0642\u0631\u0623 \u0627\u0644\u0645\u0642\u0627\u0644 \u0644\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0631\u0624\u0649 \u0639\u0645\u0644\u064a\u0629.","breadcrumb":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/"]}]},{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#primaryimage","url":"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-o4p5ocpbfq4-unsplash-scaled.jpg","contentUrl":"https:\/\/www.investglass.com\/wp-content\/uploads\/2025\/03\/getty-images-o4p5ocpbfq4-unsplash-scaled.jpg","width":2048,"height":1365},{"@type":"BreadcrumbList","@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"InvestGlass","item":"https:\/\/www.investglass.com\/"},{"@type":"ListItem","position":2,"name":"The Efficient Frontier Graph: A Guide to Smarter Investing"}]},{"@type":"WebSite","@id":"https:\/\/www.investglass.com\/#website","url":"https:\/\/www.investglass.com\/","name":"\u0625\u0646\u0641\u0633\u062a \u062c\u0644\u0627\u0633","description":"\u0625\u062f\u0627\u0631\u0629 \u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u0627\u0621 \u0627\u0644\u0633\u064a\u0627\u062f\u064a\u0629 \u0627\u0644\u0633\u0648\u064a\u0633\u0631\u064a\u0629","publisher":{"@id":"https:\/\/www.investglass.com\/#organization"},"alternateName":"InvestGlass","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.investglass.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ar"},{"@type":["Organization","Place"],"@id":"https:\/\/www.investglass.com\/#organization","name":"\u0625\u0646\u0641\u0633\u062a \u062c\u0644\u0627\u0633","url":"https:\/\/www.investglass.com\/","logo":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#local-main-organization-logo"},"image":{"@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#local-main-organization-logo"},"sameAs":["https:\/\/x.com\/investglass","https:\/\/www.linkedin.com\/company\/investglass\/","https:\/\/www.youtube.com\/channel\/UCt5r5XgzbSq2KhguJQxCwyA"],"telephone":[],"openingHoursSpecification":[{"@type":"OpeningHoursSpecification","dayOfWeek":["Monday","Tuesday","Wednesday","Thursday","Friday","Saturday","Sunday"],"opens":"09:00","closes":"17:00"}]},{"@type":"Person","@id":"https:\/\/www.investglass.com\/#\/schema\/person\/4682ebae5d718a2ed1b77c9dab0a1f24","name":"\u0625\u0646\u0641\u0633\u062a \u062c\u0644\u0627\u0633","image":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/secure.gravatar.com\/avatar\/8fb928ff37ca45def17ac75d6e799fb75f3f24f123aa31be169bfaf65f59dd40?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/8fb928ff37ca45def17ac75d6e799fb75f3f24f123aa31be169bfaf65f59dd40?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8fb928ff37ca45def17ac75d6e799fb75f3f24f123aa31be169bfaf65f59dd40?s=96&d=mm&r=g","caption":"InvestGlass"},"sameAs":["https:\/\/www.investglass.com"],"url":"https:\/\/www.investglass.com\/ar\/author\/axginvestglass-com\/"},{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/www.investglass.com\/the-efficient-frontier-graph-a-guide-to-smarter-investing\/#local-main-organization-logo","url":"https:\/\/www.investglass.com\/wp-content\/uploads\/2023\/10\/InvestGlass-blue2.png","contentUrl":"https:\/\/www.investglass.com\/wp-content\/uploads\/2023\/10\/InvestGlass-blue2.png","width":839,"height":192,"caption":"InvestGlass"}]}},"_links":{"self":[{"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/posts\/45024","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/comments?post=45024"}],"version-history":[{"count":0,"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/posts\/45024\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/media\/46434"}],"wp:attachment":[{"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/media?parent=45024"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/categories?post=45024"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.investglass.com\/ar\/wp-json\/wp\/v2\/tags?post=45024"}],"curies":[{"name":"\u062f\u0628\u0644\u064a\u0648 \u0628\u064a","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}