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8\uff0c\u4fe1\u7528\u98ce\u9669\u5ea6\u91cf\u6a21\u578b\u5728\u94f6\u884c\u4fe1\u8d37\u98ce\u9669\u8bc4\u4f30\u4e2d\u7684\u5e94\u7528\u7814\u7a76
9\uff0c\u7cfb\u7edf\u91cd\u8981\u6027\u91d1\u878d\u673a\u6784\u7684\u98ce\u9669\u6ea2\u51fa\u6548\u5e94\u7814\u7a76
10\uff0c\u8de8\u5e02\u573a\u98ce\u9669\u4f20\u5bfc\u673a\u5236\u7684\u5ea6\u91cf\u7814\u7a76
11\uff0c\u5b8f\u89c2\u7ecf\u6d4e\u6ce2\u52a8\u5bf9\u91d1\u878d\u5e02\u573a\u98ce\u9669\u6c34\u5e73\u7684\u5f71\u54cd\u7814\u7a76
12\uff0c\u538b\u529b\u6d4b\u8bd5\u65b9\u6cd5\u5728\u91d1\u878d\u98ce\u9669\u7ba1\u7406\u4e2d\u7684\u5e94\u7528\u7814\u7a76
13\uff0c\u94f6\u884c\u95f4\u5e02\u573a\u7684\u6d41\u52a8\u6027\u98ce\u9669\u5ea6\u91cf\u7814\u7a76
14\uff0c\u91d1\u878d\u79d1\u6280\u53d1\u5c55\u5bf9\u91d1\u878d\u7a33\u5b9a\u6027\u7684\u98ce\u9669\u6311\u6218\u7814\u7a76
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17\uff0c\u91d1\u878d\u5e02\u573a\u6781\u7aef\u6ce2\u52a8\u4e0b\u7684\u98ce\u9669\u5ea6\u91cf\u7814\u7a76
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20\uff0c\u91d1\u878d\u98ce\u9669\u5ea6\u91cf\u6a21\u578b\u7684\u6709\u6548\u6027\u6bd4\u8f83\u7814\u7a76<\/p>\n\n\n\n

\u4e94\u3001\u6570\u503c\u65b9\u6cd5\u4e0e\u8ba1\u7b97\u91d1\u878d\u7814\u7a76<\/h2>\n\n\n\n

1\uff0c\u6709\u9650\u5dee\u5206\u6cd5\u5728\u671f\u6743\u5b9a\u4ef7\u4e2d\u7684\u6570\u503c\u5b9e\u9a8c\u7814\u7a76
2\uff0c\u8499\u7279\u5361\u6d1b\u6a21\u62df\u5728\u6295\u8d44\u7ec4\u5408\u4f18\u5316\u4e2d\u7684\u5e94\u7528\u7814\u7a76
3\uff0c\u6570\u503c\u65b9\u6cd5\u5728\u968f\u673a\u5fae\u5206\u65b9\u7a0b\u89e3\u4e2d\u7684\u5e94\u7528\u7814\u7a76
4\uff0c\u683c\u70b9\u65b9\u6cd5\u5728\u91d1\u878d\u884d\u751f\u54c1\u5b9a\u4ef7\u4e2d\u7684\u5e94\u7528\u7814\u7a76
5\uff0c\u6709\u9650\u5143\u65b9\u6cd5\u5728\u5229\u7387\u884d\u751f\u54c1\u5b9a\u4ef7\u4e2d\u7684\u9002\u7528\u6027\u7814\u7a76
6\uff0c\u62c9\u4e01\u8d85\u7acb\u65b9\u62bd\u6837\u5728\u91d1\u878d\u98ce\u9669\u6a21\u62df\u4e2d\u7684\u5e94\u7528\u7814\u7a76
7\uff0c\u8499\u7279\u5361\u6d1b\u6a21\u62df\u4e0e\u51c6\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u6bd4\u8f83\u7814\u7a76
8\uff0c\u6570\u503c\u65b9\u6cd5\u5728\u4fe1\u7528\u98ce\u9669\u5ea6\u91cf\u4e2d\u7684\u5e94\u7528\u7814\u7a76
9\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u6295\u8d44\u7ec4\u5408\u4f18\u5316\u4e2d\u7684\u5e94\u7528\u7814\u7a76
10\uff0c\u9057\u4f20\u7b97\u6cd5\u5728\u91d1\u878d\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u4e2d\u7684\u5e94\u7528\u7814\u7a76
11\uff0c\u6570\u503c\u79ef\u5206\u65b9\u6cd5\u5728\u671f\u6743\u5b9a\u4ef7\u4e2d\u7684\u5b9e\u9a8c\u6bd4\u8f83\u7814\u7a76
12\uff0c\u795e\u7ecf\u7f51\u7edc\u65b9\u6cd5\u5728\u91d1\u878d\u8ba1\u7b97\u4e2d\u7684\u5e94\u7528\u7814\u7a76
13\uff0c\u6709\u9650\u5dee\u5206\u6cd5\u5728\u5947\u5f02\u671f\u6743\u5b9a\u4ef7\u4e2d\u7684\u5e94\u7528\u7814\u7a76
14\uff0c\u8ba1\u7b97\u91d1\u878d\u4e2d\u9ad8\u6027\u80fd\u8ba1\u7b97\u7684\u5e94\u7528\u7814\u7a76
15\uff0c\u57fa\u4e8eGPU\u5e76\u884c\u8ba1\u7b97\u7684\u91d1\u878d\u98ce\u9669\u6a21\u62df\u7814\u7a76
16\uff0c\u6570\u503c\u65b9\u6cd5\u5728\u78b3\u91d1\u878d\u4ea7\u54c1\u5b9a\u4ef7\u4e2d\u7684\u5e94\u7528\u7814\u7a76
17\uff0c\u7c92\u5b50\u7fa4\u7b97\u6cd5\u5728\u6295\u8d44\u7ec4\u5408\u98ce\u9669\u7ba1\u7406\u4e2d\u7684\u5e94\u7528\u7814\u7a76
18\uff0c\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u5728\u8d44\u4ea7\u914d\u7f6e\u4e2d\u7684\u5e94\u7528\u7814\u7a76
19\uff0c\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u5728\u91d1\u878d\u4ea4\u6613\u7b56\u7565\u4e2d\u7684\u5e94\u7528\u7814\u7a76
20\uff0c\u6570\u503c\u6a21\u62df\u5728\u5b8f\u89c2\u7ecf\u6d4e\u91d1\u878d\u5efa\u6a21\u4e2d\u7684\u5e94\u7528\u7814\u7a76<\/p>\n\n\n\n

\u516d\u3001\u91cf\u5316\u6295\u8d44\u4e0e\u7b97\u6cd5\u4ea4\u6613\u7814\u7a76<\/h2>\n\n\n\n

1\uff0c\u91cf\u5316\u9009\u80a1\u6a21\u578b\u5728A\u80a1\u5e02\u573a\u7684\u6709\u6548\u6027\u7814\u7a76
2\uff0c\u673a\u5668\u5b66\u4e60\u5728\u591a\u56e0\u5b50\u9009\u80a1\u7b56\u7565\u4e2d\u7684\u5e94\u7528\u7814\u7a76
3\uff0c\u9ad8\u9891\u4ea4\u6613\u5bf9\u5e02\u573a\u6ce2\u52a8\u7684\u5f71\u54cd\u7814\u7a76
4\uff0c\u7b97\u6cd5\u4ea4\u6613\u7b56\u7565\u5728\u80a1\u6307\u671f\u8d27\u5e02\u573a\u7684\u5b9e\u8bc1\u7814\u7a76
5\uff0c\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u5728\u91cf\u5316\u9009\u80a1\u4e2d\u7684\u5e94\u7528\u7814\u7a76
6\uff0c\u91cf\u5316\u6295\u8d44\u7b56\u7565\u5728\u4e0d\u540c\u5e02\u573a\u5468\u671f\u4e0b\u7684\u8868\u73b0\u7814\u7a76
7\uff0c\u52a8\u91cf\u6548\u5e94\u4e0e\u53cd\u8f6c\u6548\u5e94\u5728\u91cf\u5316\u4ea4\u6613\u4e2d\u7684\u5e94\u7528\u7814\u7a76
8\uff0c\u60c5\u7eea\u6307\u6570\u5728\u91cf\u5316\u6295\u8d44\u7b56\u7565\u4e2d\u7684\u5e94\u7528\u7814\u7a76
9\uff0c\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\u5728\u671f\u8d27\u4ea4\u6613\u7b56\u7565\u4e2d\u7684\u5e94\u7528\u7814\u7a76
10\uff0c\u5957\u5229\u4ea4\u6613\u7b56\u7565\u5728\u4e2d\u56fd\u8d44\u672c\u5e02\u573a\u7684\u9002\u7528\u6027\u7814\u7a76
11\uff0c\u8de8\u5e02\u573a\u5957\u5229\u7b56\u7565\u7684\u6784\u5efa\u4e0e\u5b9e\u8bc1\u7814\u7a76
12\uff0c\u6587\u672c\u6316\u6398\u5728\u91cf\u5316\u6295\u8d44\u4e2d\u7684\u5e94\u7528\u7814\u7a76
13\uff0c\u5f3a\u5316\u5b66\u4e60\u5728\u80a1\u7968\u4ea4\u6613\u7b56\u7565\u4e2d\u7684\u5e94\u7528\u7814\u7a76
14\uff0c\u98ce\u9669\u5e73\u4ef7\u7b56\u7565\u5728\u91cf\u5316\u6295\u8d44\u4e2d\u7684\u5e94\u7528\u7814\u7a76
15\uff0c\u793e\u4ea4\u5a92\u4f53\u6570\u636e\u5728\u91cf\u5316\u4ea4\u6613\u4e2d\u7684\u5e94\u7528\u7814\u7a76
16\uff0c\u7b97\u6cd5\u4ea4\u6613\u5bf9\u5e02\u573a\u6d41\u52a8\u6027\u7684\u5f71\u54cd\u7814\u7a76
17\uff0c\u91cf\u5316\u6295\u8d44\u7b56\u7565\u7684\u98ce\u9669\u7ba1\u7406\u673a\u5236\u7814\u7a76
18\uff0c\u7ec4\u5408\u4f18\u5316\u7b97\u6cd5\u5728\u91cf\u5316\u6295\u8d44\u4e2d\u7684\u5e94\u7528\u7814\u7a76
19\uff0c\u56e0\u5b50\u6a21\u578b\u5728\u591a\u8d44\u4ea7\u6295\u8d44\u4e2d\u7684\u5e94\u7528\u7814\u7a76
20\uff0c\u4eba\u5de5\u667a\u80fd\u9a71\u52a8\u7684\u81ea\u52a8\u5316\u4ea4\u6613\u7cfb\u7edf\u7814\u7a76<\/p>\n\n\n\n

\u4e03\u3001\u5229\u7387\u6a21\u578b\u4e0e\u56fa\u5b9a\u6536\u76ca\u7814\u7a76<\/h2>\n\n\n\n

1\uff0cVasicek\u6a21\u578b\u5728\u4e2d\u56fd\u5229\u7387\u5e02\u573a\u7684\u9002\u7528\u6027\u7814\u7a76
2\uff0cCIR\u6a21\u578b\u5728\u56fd\u503a\u6536\u76ca\u7387\u66f2\u7ebf\u62df\u5408\u4e2d\u7684\u5e94\u7528\u7814\u7a76
3\uff0cHull-White\u6a21\u578b\u5728\u5229\u7387\u884d\u751f\u54c1\u5b9a\u4ef7\u4e2d\u7684\u5b9e\u8bc1\u7814\u7a76
4\uff0c\u5229\u7387\u671f\u9650\u7ed3\u6784\u6a21\u578b\u7684\u6bd4\u8f83\u7814\u7a76\u2014\u2014\u57fa\u4e8e\u4e2d\u56fd\u503a\u5238\u5e02\u573a
5\uff0c\u968f\u673a\u5229\u7387\u6a21\u578b\u5728\u503a\u5238\u5b9a\u4ef7\u4e2d\u7684\u5e94\u7528\u7814\u7a76
6\uff0c\u5229\u7387\u6a21\u578b\u5728\u62b5\u62bc\u8d37\u6b3e\u5b9a\u4ef7\u4e2d\u7684\u5e94\u7528\u7814\u7a76
7\uff0c\u542b\u8df3\u6269\u6563\u7684\u5229\u7387\u6a21\u578b\u5728\u5e02\u573a\u98ce\u9669\u5ea6\u91cf\u4e2d\u7684\u5e94\u7528\u7814\u7a76
8\uff0c\u5229\u7387\u5e02\u573a\u5316\u8fdb\u7a0b\u5bf9\u56fa\u5b9a\u6536\u76ca\u4ea7\u54c1\u5b9a\u4ef7\u7684\u5f71\u54cd\u7814\u7a76
9\uff0c\u5229\u7387\u4e92\u6362\u5e02\u573a\u7684\u5b9a\u4ef7\u673a\u5236\u7814\u7a76
10\uff0c\u5229\u7387\u6a21\u578b\u5728\u5546\u4e1a\u94f6\u884c\u8d44\u4ea7\u8d1f\u503a\u7ba1\u7406\u4e2d\u7684\u5e94\u7528\u7814\u7a76
11\uff0c\u968f\u673a\u5229\u7387\u6a21\u578b\u5bf9\u503a\u5238\u7ec4\u5408\u98ce\u9669\u7684\u5f71\u54cd\u7814\u7a76
12\uff0c\u5229\u7387\u6a21\u578b\u5728\u901a\u8d27\u81a8\u80c0\u9884\u671f\u4e0b\u7684\u9002\u7528\u6027\u7814\u7a76
13\uff0c\u5229\u7387\u6a21\u578b\u5728\u4fe1\u7528\u98ce\u9669\u5ea6\u91cf\u4e2d\u7684\u5e94\u7528\u7814\u7a76
14\uff0c\u542b\u6ce2\u52a8\u7387\u5fae\u7b11\u7684\u5229\u7387\u884d\u751f\u54c1\u5b9a\u4ef7\u7814\u7a76
15\uff0c\u5229\u7387\u5e02\u573a\u5bf9\u8d27\u5e01\u653f\u7b56\u51b2\u51fb\u7684\u53cd\u5e94\u5efa\u6a21\u7814\u7a76
16\uff0c\u5229\u7387\u671f\u9650\u7ed3\u6784\u6a21\u578b\u4e0e\u5b8f\u89c2\u7ecf\u6d4e\u53d8\u91cf\u5173\u7cfb\u7814\u7a76
17\uff0c\u5229\u7387\u6a21\u578b\u5728\u517b\u8001\u91d1\u878d\u4e2d\u7684\u5e94\u7528\u7814\u7a76
18\uff0c\u91d1\u878d\u5371\u673a\u80cc\u666f\u4e0b\u5229\u7387\u6a21\u578b\u7684\u9002\u7528\u6027\u7814\u7a76
19\uff0c\u5229\u7387\u6a21\u578b\u5728\u7eff\u8272\u503a\u5238\u5e02\u573a\u4e2d\u7684\u5e94\u7528\u7814\u7a76
20\uff0c\u5229\u7387\u671f\u9650\u7ed3\u6784\u5efa\u6a21\u5728\u56fd\u9645\u6bd4\u8f83\u4e2d\u7684\u5b9e\u8bc1\u7814\u7a76<\/p>\n\n\n\n

\u516b\u3001\u4fe1\u7528\u98ce\u9669\u5efa\u6a21\u4e0e\u7ba1\u7406\u7814\u7a76<\/h2>\n\n\n\n

1\uff0c\u7ed3\u6784\u5316\u6a21\u578b\u5728\u4f01\u4e1a\u4fe1\u7528\u98ce\u9669\u8bc4\u4f30\u4e2d\u7684\u5e94\u7528\u7814\u7a76
2\uff0cKMV\u6a21\u578b\u5728\u4e2d\u56fd\u4e0a\u5e02\u516c\u53f8\u4fe1\u7528\u98ce\u9669\u5206\u6790\u4e2d\u7684\u9002\u7528\u6027\u7814\u7a76
3\uff0c\u4fe1\u7528\u8bc4\u7ea7\u8fc1\u79fb\u77e9\u9635\u7684\u6784\u5efa\u4e0e\u5b9e\u8bc1\u7814\u7a76
4\uff0c\u4fe1\u7528\u98ce\u9669\u6ea2\u4ef7\u5728\u516c\u53f8\u503a\u5e02\u573a\u7684\u5f62\u6210\u673a\u5236\u7814\u7a76
5\uff0c\u4fe1\u7528\u884d\u751f\u54c1\u5728\u98ce\u9669\u5206\u6563\u4e2d\u7684\u4f5c\u7528\u7814\u7a76
6\uff0c\u8fdd\u7ea6\u76f8\u5173\u6027\u5efa\u6a21\u5728\u4fe1\u7528\u98ce\u9669\u7ba1\u7406\u4e2d\u7684\u5e94\u7528\u7814\u7a76
7\uff0c\u4fe1\u7528\u98ce\u9669\u6a21\u578b\u5728\u5546\u4e1a\u94f6\u884c\u8d37\u6b3e\u5b9a\u4ef7\u4e2d\u7684\u5e94\u7528\u7814\u7a76
8\uff0c\u4fe1\u7528\u8fdd\u7ea6\u6389\u671f\u5b9a\u4ef7\u6a21\u578b\u7684\u6784\u5efa\u4e0e\u5e94\u7528\u7814\u7a76
9\uff0cCopula\u51fd\u6570\u5728\u4fe1\u7528\u98ce\u9669\u76f8\u5173\u6027\u5efa\u6a21\u4e2d\u7684\u5e94\u7528\u7814\u7a76
10\uff0c\u4fe1\u7528\u98ce\u9669\u7684\u538b\u529b\u6d4b\u8bd5\u65b9\u6cd5\u7814\u7a76
11\uff0c\u91d1\u878d\u5371\u673a\u671f\u95f4\u4fe1\u7528\u98ce\u9669\u6a21\u578b\u7684\u6709\u6548\u6027\u7814\u7a76
12\uff0c\u4fe1\u7528\u98ce\u9669\u6ea2\u51fa\u6548\u5e94\u5728\u8de8\u5e02\u573a\u4e2d\u7684\u4f20\u5bfc\u673a\u5236\u7814\u7a76
13\uff0c\u5b8f\u89c2\u7ecf\u6d4e\u53d8\u91cf\u5bf9\u4f01\u4e1a\u4fe1\u7528\u98ce\u9669\u7684\u5f71\u54cd\u7814\u7a76
14\uff0c\u4fe1\u7528\u98ce\u9669\u5ea6\u91cf\u6a21\u578b\u7684\u6bd4\u8f83\u7814\u7a76
15\uff0c\u7eff\u8272\u503a\u5238\u5e02\u573a\u4e2d\u7684\u4fe1\u7528\u98ce\u9669\u7814\u7a76
16\uff0c\u4fe1\u7528\u98ce\u9669\u5bf9\u94f6\u884c\u8d44\u672c\u5145\u8db3\u7387\u7684\u5f71\u54cd\u7814\u7a76
17\uff0c\u4fe1\u7528\u98ce\u9669\u5efa\u6a21\u5728\u4f9b\u5e94\u94fe\u91d1\u878d\u4e2d\u7684\u5e94\u7528\u7814\u7a76
18\uff0c\u4fe1\u7528\u98ce\u9669\u5bf9\u4f01\u4e1a\u878d\u8d44\u7ea6\u675f\u7684\u4f5c\u7528\u7814\u7a76
19\uff0c\u4fe1\u7528\u98ce\u9669\u5ea6\u91cf\u6a21\u578b\u5728\u5c0f\u5fae\u4f01\u4e1a\u8d37\u6b3e\u4e2d\u7684\u5e94\u7528\u7814\u7a76
20\uff0c\u4fe1\u7528\u98ce\u9669\u7ba1\u7406\u5728\u91d1\u878d\u76d1\u7ba1\u4e2d\u7684\u5e94\u7528\u7814\u7a76<\/p>\n\n\n\n

\u4e5d\u3001\u91d1\u878d\u7f51\u7edc\u4e0e\u7cfb\u7edf\u6027\u98ce\u9669\u7814\u7a76<\/h2>\n\n\n\n

1\uff0c\u590d\u6742\u7f51\u7edc\u6a21\u578b\u5728\u91d1\u878d\u98ce\u9669\u4f20\u67d3\u4e2d\u7684\u5e94\u7528\u7814\u7a76
2\uff0c\u94f6\u884c\u95f4\u5e02\u573a\u7f51\u7edc\u7ed3\u6784\u4e0e\u7cfb\u7edf\u6027\u98ce\u9669\u5173\u7cfb\u7814\u7a76
3\uff0c\u8de8\u5e02\u573a\u98ce\u9669\u6ea2\u51fa\u6548\u5e94\u7684\u7f51\u7edc\u5efa\u6a21\u7814\u7a76
4\uff0c\u91d1\u878d\u673a\u6784\u5173\u8054\u6027\u4e0e\u7cfb\u7edf\u6027\u98ce\u9669\u5ea6\u91cf\u7814\u7a76
5\uff0c\u80a1\u5e02\u677f\u5757\u8054\u52a8\u7684\u7f51\u7edc\u7ed3\u6784\u7814\u7a76
6\uff0c\u4f9b\u5e94\u94fe\u91d1\u878d\u7f51\u7edc\u4e2d\u7684\u98ce\u9669\u4f20\u9012\u673a\u5236\u7814\u7a76
7\uff0c\u4fdd\u9669\u516c\u53f8\u4e0e\u94f6\u884c\u7cfb\u7edf\u6027\u98ce\u9669\u8054\u52a8\u7814\u7a76
8\uff0c\u590d\u6742\u7f51\u7edc\u89c6\u89d2\u4e0b\u7684\u56fd\u9645\u91d1\u878d\u5371\u673a\u4f20\u64ad\u7814\u7a76
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