{"id":32768,"date":"2018-10-02T00:57:15","date_gmt":"2018-10-01T16:57:15","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=32768"},"modified":"2018-09-28T10:13:26","modified_gmt":"2018-09-28T02:13:26","slug":"%e6%8a%95%e8%b3%87%e5%ad%b8%e3%80%81%e6%a0%b8%e7%89%a9%e7%90%86%e8%88%87%e9%9a%a8%e6%a9%9f%e7%9f%a9%e9%99%a3%ef%bc%88%e4%b8%80%ef%bc%89","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=32768","title":{"rendered":"\u6295\u8cc7\u5b78\u3001\u6838\u7269\u7406\u8207\u96a8\u6a5f\u77e9\u9663\uff08\u4e00\uff09"},"content":{"rendered":"<p><span style=\"color: #333399;\"><strong>\u25a0\u7269\u7406\u5b78\u4e2d\u7684\u9019\u4e9b\u300c\u5947\u6280\u6deb\u5de7\u300d\u771f\u7684\u53ea\u80fd\u62ff\u4f86\u7814\u7a76\u5927\u81ea\u7136\u55ce\uff1f\u4e8b\u5be6\u4e0a\u5b83\u5011\u53ef\u80fd\u6bd4\u6211\u5011\u60f3\u50cf\u7684\u6709\u7528\u3002<\/strong><\/span><\/p>\n<figure id=\"attachment_32770\" aria-describedby=\"caption-attachment-32770\" style=\"width: 300px\" class=\"wp-caption alignleft\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-32770\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/08\/fig1.jpg\" alt=\"\" width=\"300\" height=\"400\" data-wp-pid=\"32770\"><figcaption id=\"caption-attachment-32770\" class=\"wp-caption-text\">Figure1. \u4f4d\u65bc\u7d10\u7d04\u66fc\u54c8\u9813\u7684\u6587\u85dd\u5fa9\u8208\u907f\u96aa\u57fa\u91d1\u7e3d\u90e8\u3002\u9019\u500b\u91d1\u878d\u6a5f\u69cb\u5728\u696d\u754c\u4fbf\u4ee5\u7269\u7406\u5b78\u5bb6\u548c\u6578\u5b78\u5bb6\u7684\u73ed\u5e95\u8457\u540d\u3002\uff08\u5176\u5275\u8fa6\u4eba\u4e5f\u70ba\u77e5\u540d\u6578\u5b78\u5bb6 J. Simons \uff09\uff08photo credit: \u4f5c\u8005\u81ea\u651d\uff09<\/figcaption><\/figure>\n<p><strong>\u64b0\u6587\uff5c\u856d\u7dad\u7ff0<\/strong><\/p>\n<p>\u8fd1\u4e8c\u4e09\u5341\u5e74\u4f86\u6709\u4e00\u500b\u65b0\u8d77\u7684\u5b78\u9580\u53eb\u505a\u7d93\u6fdf\u7269\u7406\uff08Econophysics\uff09\u5341\u4e4b\u516b\u4e5d\u7684\u4eba\u4e00\u807d\u5230\u9019\u500b\u540d\u5b57\uff0c\u5927\u6982\u6703\u76ba\u8d77\u7709\u982d\u8a62\u554f\u9019\u5169\u500b\u5b78\u79d1\u6709\u4ec0\u9ebc\u95dc\u4fc2\u3002\u5f9e\u65e5\u5e38\u67f4\u7c73\u6cb9\u9e7d\u7684\u89d2\u5ea6\uff0c\u9019\u5169\u500b\u793e\u7fa4\u56fa\u7136\u662f\u98a8\u99ac\u725b\u4e0d\u76f8\u53ca\uff0c\u4f46\u5f9e\u5b9a\u91cf\u79d1\u5b78\u7684\u89d2\u5ea6\u2014<\/p>\n<p>\u90fd\u662f\u7b97\u6578\u5b78\uff0c\u6c92\u6709\u4ec0\u9ebc\u592a\u5927\u7684\u5dee\u5225\u3002<\/p>\n<p>\u7576\u7136\u4e0d\u540c\u793e\u7fa4\u7684\u7814\u7a76\u8005\u5207\u5165\u554f\u984c\u7684\u89d2\u5ea6\u8ddf\u76f4\u89ba\u90fd\u76f8\u53bb\u751a\u9060\uff0c\u4f46\u4e5f\u90e8\u4efd\u5730\u57fa\u65bc\u9019\u500b\u539f\u56e0\uff0c\u7d93\u6fdf\u7269\u7406\u4fbf\u8457\u529b\u65bc\u4f7f\u7528\u7269\u7406\u5b78\u4e2d\u653b\u64ca\u8907\u96dc\u7cfb\u7d71\u7684\u6280\u5de7\u4f86\u8655\u7406\u8ca1\u91d1\u554f\u984c\uff0c\u8fd1\u5e74\u4f86\u4e5f\u6709\u8d8a\u4f86\u8d8a\u591a\u7684\u8ca1\u52d9\u8457\u4f5c\u767c\u8868\u5728\u7269\u7406\u5b78\u8a55\u8ad6 E \uff08physical review E\uff09\u6216\u7269\u7406\u5b78\u8a55\u8ad6\u901a\u8a0a\uff08physical review 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Markowitz \u5efa\u7acb\u7684\u3002\u5728\u4ed6\u7684\u6a21\u578b\u4e2d\uff0c\u7d66\u5b9a\u91d1\u878d\u5546\u54c1\u7684\u7d71\u8a08\u8cc7\u8a0a\uff0c\u6211\u5011\u53ef\u4ee5\u8a08\u7b97\u67d0\u4e00\u7d44\u6295\u8cc7\u7d44\u5408\u7684\u5e73\u5747\u5831\u916c\uff0c\u540c\u6642\u4e5f\u80fd\u8a08\u7b97\u9019\u500b\u7d44\u5408\u7684\u6a19\u6e96\u5dee\uff0c\u5728\u9019\u500b\u5e73\u5747-\u8b8a\u7570\u6578\u6a21\u578b\u5167\uff0c\u8b8a\u7570\u6578\u6216\u5b83\u7684\u5e73\u65b9\u6839\uff0c\u6a19\u6e96\u5dee\uff0c\u88ab\u7576\u6210\u4e86\u91cf\u5316\u98a8\u96aa\u7684\u4e00\u500b\u6307\u6a19\u3002\u7d71\u8a08\u4e0a\u7684\u610f\u7fa9\u5c31\u662f\uff0c\u5982\u679c\u6a19\u6e96\u5dee\u6975\u5c0f\uff0c\u90a3\u6211\u7684\u5831\u916c\u5c31\u6709\u5f88\u5927\u7684\u6a5f\u7387\u6703\u662f\u6211\u8a08\u7b97\u7684\u5e73\u5747\u3002\uff08\u7576\u7136\u4e5f\u53ef\u4ee5\u7528\u9ad8\u4e2d\u5b78\u7684\u4fe1\u5fc3\u6c34\u6e96\u4f5c\u66f4\u7cbe\u78ba\u7684\u9673\u8ff0\u3002\uff09<\/p>\n<p>\u6709\u4e86\u9019\u4e9b\u91cf\u5316\u7684\u5b9a\u7fa9\uff0c\u6211\u5011\u4fbf\u53ef\u4ee5\u5617\u8a66\u56de\u7b54\u662f\u4e0d\u662f\u5229\u6f64\u8d8a\u9ad8\u98a8\u96aa\u8d8a\u5927\u3002\u5728\u6700\u7c21\u55ae\u7684 (i) \u56fa\u5b9a\u7e3d\u8cc7\u672c\u4e26 (ii) \u6c92\u6709\u7121\u98a8\u96aa\u8cc7\u7522\u7684\u6a21\u578b\u4e2d\uff0c\u6839\u64da\u300c\u5c0d\u98a8\u96aa\u7684\u5bb9\u5fcd\u5ea6\u300d\uff0c\u6211\u5011\u5176\u5be6\u6709\u8fa6\u6cd5\u5728\u5831\u916c\u548c\u98a8\u96aa\u7684\u5e73\u9762\u4e0a\u756b\u51fa\u4e00\u689d\u300c\u6548\u7387\u908a\u754c\u300d\uff08efficient frontier\uff09\u9019\u689d\u7dda\uff0c\u9019\u689d\u7dda\u4ee3\u8868\u6211\u5011\u5728\u9019\u500b\u6a21\u578b\u4e2d\u6700\u6709\u6548\u7387\u7684\u73a9\u6cd5\uff0c\u4e5f\u5c31\u662f\u7d66\u5b9a\u98a8\u96aa\u6642\uff0c\u6b64\u7dda\u7d66\u51fa\u7684\u671f\u671b\u5831\u916c\u6700\u9ad8\uff0c\u800c\u56fa\u5b9a\u671f\u671b\u5831\u916c\u6642\uff0c\u6b64\u7dda\u4e0a\u7684\u9ede\u5177\u6709\u7684\u98a8\u96aa\u6700\u4f4e\u3002\u800c\u4e14\u8a72\u908a\u754c\u7684\u8d70\u5411\u4e5f\u662f\u9084\u7b26\u5408\u4e00\u958b\u59cb\u7684\u76f4\u89ba\u2014\u8ffd\u6c42\u66f4\u5927\u7684\u5229\u6f64\uff0c\u5c31\u8981\u627f\u64d4\u66f4\u5927\u7684\u98a8\u96aa\u3002<\/p>\n<figure id=\"attachment_32771\" aria-describedby=\"caption-attachment-32771\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-32771\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/08\/fig2.jpg\" alt=\"\" width=\"650\" height=\"652\" data-wp-pid=\"32771\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/08\/fig2.jpg 1000w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/08\/fig2-800x802.jpg 800w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><figcaption id=\"caption-attachment-32771\" class=\"wp-caption-text\">Figure2. \u5728 Markowitz \u6a21\u578b\u4e2d\uff0c\u4e00\u500b\u5178\u578b\u7684\u5831\u916c\u8207\u98a8\u96aa\u95dc\u4fc2\u5716\u3002\u85cd\u8272\u7684\u66f2\u7dda\u8868\u793a\u300c\u6700\u6709\u6548\u7387\u300d\u7684\u6295\u8cc7\u65b9\u6cd5\uff0c\u4e5f\u5c31\u662f\u300c\u6548\u7387\u908a\u754c\u300d\uff0c\u5728\u85cd\u7dda\u548c\u7070\u8272\u865b\u7dda\u4e4b\u9593\u662f\u5176\u4ed6\u53ef\u4ee5\u5be6\u73fe\uff08\u4f46\u6bd4\u8f03\u6c92\u6709\u6548\u7387\u7684\u6295\u8cc7\u3002\uff09\uff08photo credit: \u4f5c\u8005\u81ea\u7e6a\uff09<\/figcaption><\/figure>\n<p>\u56de\u5230\u524d\u9762\u554f\u984c\u7684\u6558\u8ff0\uff0c\u8981\u8a08\u7b97\u5e73\u5747\u8207\u8b8a\u7570\u6578\u9700\u8981\u91d1\u878d\u5546\u54c1\uff0c\u6bd4\u5982\u8aaa\u9053\u74ca\u6307\u6578\u524d 100 \u5927\u7684\u80a1\u7968\uff0c\u7684\u50f9\u683c\u7b49\u8a0a\u606f\u3002\u5be6\u52d9\u4e0a\u9019\u4e9b\u8cc7\u8a0a\u53ef\u4ee5\u900f\u904e\u516c\u958b\u7684\u4ea4\u6613\u7d00\u9304\u7372\u5f97\u2014\u800c\u4e00\u500b\u5f88\u81ea\u7136\u7684\u554f\u984c\u5c31\u662f\uff0c\u9019\u4e9b\u91d1\u878d\u5546\u54c1\u7684\u7d71\u8a08\u95dc\u806f\u6027\u662f\u4e0d\u662f\u6709\u8de1\u53ef\u5faa\uff1f<\/p>\n<p>\u5728\u4e0b\u6587\u4e2d\uff0c\u7b46\u8005\u5c07\u70ba\u5927\u5bb6\u4ecb\u7d39\u5728\u7269\u7406\u5b78\u4e2d\u4e5f\u66fe\u7d93\u6709\u4e00\u4e9b\u554f\u984c\u9700\u8981\u5206\u6790\u96dc\u4e82\u7121\u7ae0\u7684\u77e9\u9663\u8cc7\u8a0a\uff0c\u800c\u9019\u500b\u5149\u8b5c\u554f\u984c\uff0c\u4fc3\u767c\u4e86\u96a8\u6a5f\u77e9\u9663\u7406\u8ad6\u7684\u767c\u5c55\uff0c\u66f4\u5f8c\u4f86\u7684\u5b78\u8005\u5011\uff0c\u66f4\u5c07\u9019\u500b\u6280\u8853\u8f49\u79fb\u5230\u4e86\u91d1\u878d\u5546\u54c1\u8cc7\u8a0a\u7684\u5206\u6790\u4e0a\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><strong>--<br \/>\n\u4f5c\u8005\uff1a\u856d\u7dad\u7ff0\uff0c\u81fa\u5927\u7269\u7406\u7cfb\u7562\u696d\u5f8c\u9003\u5230\u829d\u52a0\u54e5\uff0c\u5439\u98a8\u5439\u96ea\u4e4b\u9918\uff0c\u505a\u7814\u7a76\u8b80\u535a\u58eb\u73ed\u3002\u53ef\u60dc\u96e2\u958b\u81fa\u7063\u5f8c\u7121\u6d77\u53ef\u770b\uff0c\u53ea\u80fd\u5728\u5bc6\u897f\u6839\u6e56\u65c1\u63c0\u4e00\u65b9\u5824\u5cb8\uff0c\u507d\u88dd\u6210\u770b\u6d77\u7684\u4eba\u3002\u79d1\u6559\u4e2d\u5fc3\u7279\u7d04\u5beb\u624b\uff0c\u5f9e\u4e8b\u79d1\u666e\u6587\u7ae0\u5beb\u4f5c\u3002<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/scdn.line-apps.com\/n\/line_add_friends\/btn\/zh-Hant.png\" alt=\"\u52a0\u5165\u597d\u53cb\" width=\"212\" height=\"36\" border=\"0\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u25a0\u4e0d\u4fb7\u9650\u65bc\u7269\u7406\u5b78\u7684\u7aa0\u81fc\u3002\u4e8b\u5be6\u4e0a\u5728\u8a31\u591a\u5b9a\u91cf\u79d1\u5b78\u7684\u7814\u7a76\u4e2d\uff0c\u6709\u4e00\u4e9b\u884c\u70ba\u662f\u5f88\u4e00\u81f4\u7684\u3002\u6211\u5011\u5e38\u5148\u6709\u4e00\u4e9b\u5c0d\u65bc\u5be6\u52d9\u7684\u89c0\u5bdf\uff0c\u63a5\u8457\u6211\u5011\u5617\u8a66\u628a\u9019\u4e9b\u89c0\u5bdf\u62bd\u8c61\u5316\u6210\u4e00\u4e9b\u6578\u5b78\u6a21\u578b\uff0c\u4e26\u4e14\u5f9e\u9019\u4e9b\u6578\u5b78\u6a21\u578b\u53bb\u5f97\u5230\u9810\u6e2c\u6027\u7684\u7d50\u679c\u3002\u5728\u7269\u7406\u5b78\u4e2d\u9019\u500b\u9810\u6e2c\u53ef\u80fd\u662f\u672a\u4f86\u67d0\u500b\u5be6\u9a57\u6703\u89c0\u6e2c\u5230\u7684\u73fe\u8c61\uff0c\u5728\u8ca1\u52d9\u4e0a\uff0c\u9019\u500b\u9810\u6e2c\u5c31\u662f\u6211\u5011\u61c9\u8a72\u8981\u63a1\u53d6\u7684\u8655\u7406\u9322\u8ca1\u7684\u7b56\u7565\u3002<\/p>\n","protected":false},"author":20,"featured_media":32772,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,39],"tags":[3961,3960,2250,2478,2487],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/08\/fig0.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/32768"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=32768"}],"version-history":[{"count":2,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/32768\/revisions"}],"predecessor-version":[{"id":32779,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/32768\/revisions\/32779"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/32772"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=32768"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=32768"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=32768"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}