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前进优化方法(Walk forward optimization)
交易模型必须能通过历史回测才可以投入使用,无法通过历史回测的交易系统不可能在实际交易中获利,历史回测是交易系统投入实盘的必要前置环节。在现实世界中,大多数交易系统都在同一组历史数据上建模并测试,这样会导致即使通过历史回测的交易系统在实际演练中效果也并不好。因为这组历史数据提供的信息往往是误导性的,它只是评估过程的一部分,而不是全部。因此完全依靠测试结果来判断系统是否有利可图的观念是错误的。
前进优化方法(Walk forward optimization),通过在同一组历史数据上执行一系列“向前看”的市场数据,并同时进行一系列的“向前看”的市场数据测试,从而模拟在现实市场环境下交易策略的不可预测性;通过一步步的向前走不断确定最佳的参数,逐步相关性检验,确认系统有效性,从而完善交易策略。进而帮助缓解使用同一组历史数据上建模导致实际演练中效果不好这一问题。
下面这张图,形象的说明了向前走优化方法与传统历史回测方法的区别: 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N43wRoJF+2YMnSwV3aOeKG7bu1/q7VgWyKZi26YbHiJb9XzVq0IL15jW/fWuL3lWKulvn/vpKk2RdonnZX8flrl2NX1iPTZDuJ2XO+940HndNOW7w78rZD5joA1IMrPrv8khfu++09lqVGc61cLvu0LOzRfOzRqvj8wMRHRiaAU+bqVe3vnPxc/yfM65WjtBz5zVuQ3jTu3F69Mqmdj632SpYObtWKkjfIGsWTfm+znurpNFE+5JTIrUJGZpLlDJ8/99FND56/bcsLzDUAmOj+9s6PXPzC2FP3WVKTuVaJup1ajqLYowEoBxmZAE6JN6686frJB//wafP6yFQnE6vmBU7qs3lTFRcFLx0cu/5GtSs5dVKqtIF8QXs3a0lZzzl6J/3zrgqWT/Vry6b62iAnrIaqBTIlyU4k5l74yP3/5jSddd1/L3jdEXMdACaiy+9ccdG0vj1ftaRJ5lql6iIjkz1aBdijASgPgUwAY+6qVe3XTT74h7Xm9RGzVB+BzGo4uE0r7tpmXs0Q375BS7abV8en4NTJam5IKzZKJ/3m0ICdj23QlhGXZ40vCdup+gdle3joL1759fVfHwg1/N3v5l32vLkOABPJZetXvnrG07vut6TJ5tqI2HUQyKwG9minFns0oOYRyAQwpq78xNJrJv/x2Tstqfr1RfUSyMza4AamS6pfWzbl2hgFHzNSRhlMwewDSdMXas0tC82rabnWD27Vik2VN3rPNFeL/OmVJW9IpzfrXPNa1czVslFo7N6yYGnGBjm+fUPOvloTnt04KvcBOzH8qnkPfO7+Yct+x/7XXHLMXAeAieDS9StfdfaeXzxgSVPMtZFKWHXQ1Yw9WpnYowEoH4FMAGPmDbcve8uZB+KfG5UgpiSper3xxpVgg3RkCZ706+AB7ZdU1oeGXJv4UuQpF8t4PVWSbvrv27tZK0r5MDABDTdUcB+IdMlWp5youZApNDz8mosf+NymnzQ0/MMzr1pw3FwHgPHskvUr/+LsPb/4uiWdaa5VhVuHGZns0QpijwagEgQyAYyJK9Z88Kqznv39Fyxr9I7jXbc+h/20zL4g/0l7Lns3e43Py2SWxKRkZR9I0lwtu8VrZh7fviHHhi2wSc2zmZSaq7CZDJ7014Dpl2tplV9P1r9Lhf++E0XCccv7oBxul90VkaVe2Z2txYOZQyfnX3zfv973w9M/fkP/K/5iwFwHgPHotd13zD1nzy8ftKWzzLVqcepw2A97tELYowGozKgFFAAg6fV33PKGF+5/eoNlWSFzraqsOhn2Yzh3enU3XVUx+4LUBnf/QXODPHbmXRWcDHmqNWvRmwqUd1WADXIOp5VZWh7rltO2Ua4kq6tXdnvYfESWhqGTf33ZF1ffO73vqapM8gWAU+miL3/6/Bf/ZvuDttyp5lp1lXnQNAGwR8uPPRqASpGRCWBURe740N+e9fu+uy3LGv37jWWVF8CYEIKTHn3TLteaG2ZoS7BHUtDsxbr3FvNidc17ebK/UL/ihzKWxs70y7XIfG9S+rVl02ptMS8nzV6se/0eSclshfSGNF+Pq8JaFiwurUyqJHO17JaVGVdyZ1XUn5NuBR+UY91yWvtk93bJ6uiRrTY53THzURlCw0OXLvz8x77yk6WfeNczs+eeNNcBYDxYcN9nZs/85Y4HbdedZq5VW/1lZLJHy4s9GoARICMTwKh53R0fXjj1931fscciiClJlhLmpQkvcKruadaiqxaqJVA2NPYCG/eDu7SzzM1kmreRXXLXai3JWdZUSPVP1kdk9uKM/kg7H8vzAaZCbJDTEo1lZmRGIn7T3qic1k4vM7OjR6GuSObjcggNDf3NxV9c9aWzn/1to7kGALVu/r3/En7Jz370Ddt1X2SujQq7gh7G4xl7tDzYowEYmbEJLgCoO1d8dvklL9z323ssS2P2Ad9R/TWRT56q79y7W/Nmz5W3sdyqlhsWa57matkNl2f3NqqwtCWrRCaPYKnQzu3lbm6rI+Nk/eBu7VR5zfZbqlkKNv1yrQlOwNy7Wev3SsvSV0Zk52OrmXwZ4Fp26feBSJcfsEwGMaNyWttk9fTIjnQp1NWpRGfhppkNJweveG3XrRu//7H17UenNQ+b6wBQi/76gfUvO/fnP95sue4Mc220lHfKNP6xR8uNPRqAkSIjE0DVLbzzIxe/MPbUfZY0xv3j6mzYT6osp1/xjBP13Vq/aau3OZ2+MHODNspaFixNb6QPbtWW0dq8FSpJymjW3q8t3/bfiwqNuH/UtBnprIODW7Wigg8omn651mRlb+zW+rvYIJuGy8n4iSYDlRHZvT2ywpIUk9vWJicmL9DZ0+5nbObXcHLwysia9284/eiR0e0DDABV8Jr717/03B3/b7Ptumeba6PJKeegabxjj5YbezQAVUBGJoCquvzOFRc19+35qiVNMtdGW0ihugpkpiZhHtylnQdnaFFw8eA2bdh+gVcqM3uhFk3fHFwdFS0LlgZKc3ZrvZllUJESyq8OHtD+4NeBTWl8+2ZtOajM96YE6eb8VegftXerthycq0XTK3lP8v38u7U+X3+tOjdsFQtkRrxemMkgZrRTiU4vM9Pu6ZHT1iY35gcze3pkhztk90hOW3fBlO/GwYGrrlz53nXfXf2lm0+ccVb9tbkAMC68+qHumS/b8fhm23XONddGW6F76ETDHs3HHg3AKCCQCaBqLtuw6q9mPL3rfkuabK6Niboa9jNXi/wNaXzvbsWVXRkW375B66cvVcv2DdpysDm9URyNRvLmCfumam3gvEyGQiVHWaVRe3d5ZUoHt2rD9n5JyddVqmBzfjOTohL92rJ9t1pUznvSrEU3LK1i4/n64YYKHWj4QUzJz7bc6AUoo51KtLXL7umQ3dMrt7NVTjQmt61VTlev7EjJwcxFV6587/C3V3Z/DHmcTAAAIABJREFUaPCsFxR4HQAw9lof+fKLz3vie9+wXWemuTYm7IK30AmEPVoSezQAo4FAJoCquHj9yledvecXX7OkKebamHHrqLQ81UC+Xzv39kt5Zo3ufGxDGRuzETi4TSvu2q1FNyyWvl3KtMj0RMqWBUu15paF/jXze/3T9jybxdy9h3Zry/atetLcPJdqerNSaSpmJkGl9m7WevNaTmyOR2rYzle6mA5iup2tciNGgDLWLadNsns6ZHX1yu5slRP1HpsKZvaGUwOB8mkcHGi78valiUdvv+fDiUmTCj0UAMbMX37ra2fP+o/HemzH+TNzbay4ynd/nmDYo0lijwZg9BDIBDBil6xf+Rfn7PnF1y3pTHNtLDmhYiWlE0WzFi3weyolJ07m2STnlLORfLo8Jt90xeKN5L1NbrXtfGy1lpgXi4hXukFWoBxMyUyKsZFZ9pXJ+zdpzlPCBJMruZaCrS3Dsnr8IObGNjlRSdEcAcpYt5zWPi/g2dUre2ObnO6YF8xs75Hd4QVDiwUzm04ce/tbbnvX0L/ffs9HCGYCONXmfPvBGbOjD222Hedl5tpYqo+bIXu0YtijARgpApkARuS13XfMPeepX/2bLZ1lro25esnInL0wdRqcVbKTV/p0vZh8jdMr2ayOP82aNztdfrVzb+73YjTEt2/WltmZJ/2ZH1hyb6CLmXfVSi2btjV7MupE5rqOLMsfvBP2ppCH/SBmdyz9sJwBSm+Cud3bJaujR7b8YGZ3mxwlH5vspZl6qiyNJ479w9W3vTvxzX954FZzDQDGyoWPPfii87/34IO2kwiba8Ul75/efXGkgUinaA/jCYA92ihijwbAQyATQMUu+vKnz3/xb3Y8aLvuC8y10lVxk1wnPTJbkk3OD1Zx4mSqVGekjdPzNT4vRbMW3bCyzKbvuUqdRmD63HSvp2QmRZlaFizVmtm7KtiU9mvLt7dq3g0LtT9nOdYITF+oNbcszJvJMdH4GZmSJKsrO4hpdfXKnuX3x8wIUAaDmW3evckIZib6zMFA6b/X1HTi6I1vXX790DfXPrDSXAOA0TY3+si086PfeNB2Ei8310oTk/okhWdJYe/LkXBHtssbF9ijBbFHK0md7dGAarDNCwBQigX3fWb2S3+540HbdcspmMnB3yRXg1VoyMfEEd++VTtVzkl/CVJTJKvROH38mrdgYXVKlqYv1JpbipV55XBwm1bcVeUNcj2ybUeSrPYe2RH/Wp//CTzcLisiKdyR7pnZ3eZNMJeXbWmFJcmfXB6TrI4ehbr8J0pOO1dYdk9v+vnzaDp29D1vWX79beZ1ABhN52/b8oK5j276N3t4+HxzrSyxmKSwrFnmQvlce+JnZLJHGz3s0QAkkZEJoGzzv/q5WS/52Y++Ybnui8y1yo38tN+tl9Jy7daT27dqfykbqdmLde9Vfq+mkszVsltKTx7L3ch9nJp+uRalNrW7taXCU/Fzk9kYI86cqIZmtQSOGvKVpE00ln8vcLvblOj2h/ykel52y2nt9oKcwSzMaKcSnWa2pR/M7OmRHelSqMsPYgamnAcHA+Uz6djRjrcsv2Ho39duusNcA4Bqe/n2H5x14cObvm4nEheYaxWb5W3SrPZ2qbu7otxK1wq0Lp6w2KONCvZoAAIIZAIoy8Vf/+Kftez8j82W684w10bGO+13Y2FZ4VjBcs0CKtlXj0s7t28zL9WI3Vp/12rzYkHpBupVLkEqU8ZJv59RMf41qyXVz6kWNu1jJNI1KZVB6fe8VCk9LzOCmb1eD81oTG5bcjBQl+x2v0Q91i2nM6xQV0RWe7usaOEP9pOOHfnA1R9959Cjn/7qv5prAFAtL935xJmv/PqGr9mJ4Veaa8V5hzsKHM64fX2SwrLCs2S1r5XdEZY6IkVba+TiauJnZErs0UYDezQAQQQyAZTs1V/74ktafvr9zbbrnmOulcrq6pUdieXdAFtdXimoOZSjJHXSI7MsezdryV3mRUOOjIC669NTpZP+zNP1GigBS/XVkmri9Yy6Zr2xbel9DS8MXpsl+T14kwN8QmEvszIdzAynszDzZFu6na1KBJ9WkvpichWRFS5thsbk5w//01s/umTom5++d525BgAjde7PfjRl3tfWbbITQ63mWkkiEVn+fxX1I5nRTiVaJYXbZfck73Veaw3vsMe/VIJEXWRkloE9WmnYowEw0CMTQEn+6pEvt5y3/fubbddJHoiOQGavJbezVYnWVrmz0v3sMnrSlcqql9LyKgpukA9u1Yq7NmunvBN4c+M8cTVr0ZuqddIfOF0/eED7M9aqKXiKn1/L7AtSP9fovp5a0a/v9Hz+xqHW1ucTrd59JdGaPDTxBvg4MUkRL+tSCvbH9IKZVlhetmXbRrmSl22Zev6giBfslORuLJyNGdT0/HPL37xiyVLzOgCMxIt/sX3yxfff9dXQ0FBls1wkKRr17mWzZhn3veT9LianrVUJfzij1dVb3l7NKvlWCYk9miT2aAByIZAJoKhXfXPTOef9x2Obbcd5iblWtljuLEuvX11Yim2U0+qf8AeCDSWxGwhklmHeVSsDG+F+bfn2NsW1W+s3bfUaqM9erHsrnm45fsy7aqkWpTa2W7Wh4pN+Gafro6lZi950eXoDnMv0y7V0QbIXlKRD/ZU3xh938mVnpwf4KNKlUI8fpMwY4OMNAFKsW05rqxJtuYKUft9NSYp2lp09fvrh51Zc/bF3v9e8DgCVOPs3Pz/94vv+9d7Q8NACc60iGVnmYVn+fdHtzHMwlLyXFpd9O0VO7NE87NEA5EJpOYCCXvntB2eE/9/DPSHH+TNzbUT8pvGSpEiXF8RUVE4yaNCZ7kkX6tmYvl6IQ0ZmKeZdZU5qNPoeHdymFZukNTcsVEuysfzezVry2O7gN6VNv9x/7Eg1a9ENK7XIvFyy8vs3tSxYGngvdmv9plKmjDZr0YK52pL1fhhZAyOZqJnTbj25V5qXfL3TF2rNLQuDDyho53+br3dCK3AvCPa87JDdI+/+Eu2Us9HvmdkV8QObhkiXQl2z5EajcjujsiLR3I8rweQ//XHV1be9J/Ho7V++x1wDgFJN73uq6ZIv33FPaPjka8218vXJjUlWOD2A0WpfKzss79AmKnn9MmP+MLRWOe09sjs6ZPcW75vpWOTQFMMeLY09GoB8CGQCyOv8b32t+eXRns2245xnrlUq2DReigWyLr0edsFgpdsZ3CCHs9ZNCUqW8ko3azft1nq/VCnDwW1acVe/liVP+2cv1r23eEsTZgrm7MUZ78nOx3K8DwH7D/ZLs/3HB96P3Pq1c+8Isgby2Ll9q+KzK/hAsnfzxPg3K5UlJ303CMvq6fE+iEtK3WtShyWBYGb3cjkRf0J5b/LxOUTb5EalRGUxzJTJz/XffvWq9qFHV3VvMtcAoJgX79192l9vWPXl0PDJy8y1ynjByYTCXpuN5EFzbKMc/9DG7GXuPh6V2xGWJcmaFZabp/JGklwyMnNij5YDezQABRDIBJDTBd/tmT432vOg5ST+3FwbkWTTeMlrHN8VkRST0+YHKcPekA0lN8gZk4W7CgczLbtAFlb9yb8x9hTf7HrTLc3sgHlXrdS9/p/j2zdoRcHnqFFG8/z49g1F3gspvneX4oGpmQXt3VpW1kHJDm7Tirt2a9ENgVKrIor/O088lmU5cl1llIDnkPOwZPlGuX7vy6zHjjBwmcvpf3z2029c1Z74zqrur5lrAJDP2c/+tvHiL66+OzQ0+DpzbeRicpXco6WrZax2v5d5qqVGsHemn40ZDsuKxXLu1RzbvLPWL/ZoBbBHA1AEgUwAWeb86FsvnPOdrz1oOYlXmGsVi0RkJZvIexeyN7+Ba65mef8Nlp0XCmJKsl1Ky4Pi27dq54Ls/knlbpp2PrZaS9ScvTFL9SraphV3bQss1Lq5WmZskEua/mlmQORR8vNVrF9bNq3WFvMyUlzXdb2Py1E5rYWH92YclvS0+2XmHbIiwXtT+ayuXn94WeF7lyVZZ/zx2a6rbu8Yeuy2jZvNdQAwNR/qb/jrrhVfbDg5EDHXKuJPJHdT96qwrLX+MLPO9EGzldyP+T2Fs3tnRvw+w4H7XqRdVl+3v+7muxXWHfZo+bBHA1AcgUwAGV7xo0enXtBz39ftRGKOuVaZdFmn29kqNyoFs6QyNr+Ba5nDfgIb4nC7rFnd/vMYGvIN+KhXu7Vle7/mLWiuwsYtvTHzsgjkN54fj7wshpYFS7VUm8t8X7zvHblqPQ/yKOleYLX3yNJyOd1tcvoiSk7stWIxKRKWdUXhMsnccmWBevdBK+plmpssyZr8h2fuvPL2ZcPfvW39I+Y6ACSdcai/4ZI171/feHLgjeZaRYKDFdvDcrtjXvl42C8fT+7bUofP/sTyXL0zU4HNQJVNV4csef0zHePOWN/Yo+XGHg1AcVb3z9zGMwd+lz+vHUDd+POdT5zZev/n/s1KDL/KXKuIXybubVtjcjd2y+nuSwc2/fLxjGBn8lrqe4PlSunnS5V5BgKbR86e+cEPv2n+Wxwn8beBVwGgjpw5ZdqNd26879O2kyg4nDSdMZkj89L/YJ++R5Ug0qVQl3JmXxb8uwJc100cOecly7532/pvmWsAcPrRI6ErV970ucbBE28z1yqRvjd5+y/3cUlXrPUqYaKd/jCzzAPpjIPmWHoYY/K50vfN5KFO+r73k/Cf/e4rl7S+NPUCAExoLzv4J9326FbzMlAZ2/lVqP1Xr9FN7hCj4wBIkmZu33rGq+7/3APVCWKGZfX0KpQMYkY7lWhtKz2IWaTs3GlL9qrzrtnJjTil5QCkku4FbmernI3ePche254zT8gbSlYKb9J5rmzMVKDAvw/mC2JKkmVZobOe/f0X3rDm5jeZawDq2+lHj4TesPK9d1YniBmR3Rs8YGn1+pLrCqN8XKnszFTmZaq/ebp3piJdRu9MyeryszM3Lk/d95xcN1oAAMpEIBOAzv3Zj6bMf/ALm+zE8KvNtXJZ7T0K9SYnBHubY+9E39gMG0HMjMbxRcrOs6/5gU2b0nIAkqzSSsvd7uVyYpLCHbL8rKTKeL04Uwcs/r0pFcQMTPwtxrKshjP3/88XX7/2Q6831wDUp6Yjf7Kv/ERH12mDA23mWrm8fZp/4BLbKCdwwGJdEVFwAGP2PSx378xUYDO538saCuRxbctMWAcAoGwNv/nxPS9IDJ240lwAUB8arMbDn/x2z8tDQ0MXmWvlCpYopUuS0tzOVjmRiNxoVBmZSxnlS8kT/GRfpmDPpWSgINfjJNctLXgBYGJzlVXdnUdMbndU6op42UN+Wbg1y8vEdGN9mQ8vIj0F3ct2kpRRelkq27Iazoz/z6oTv/5p78+P/XHEB0wAxqcGq/HwgvlX/nT+/Xe9qvH4sb8z18tltff4AxT9/ZPROsPtbpPbLWUcNGeUjxfvnankkMYcBziuSyATADByDUee/1PYHTrxFXMBQH2w7NCvTp5+xl2TVU4z7dzc7o1yIxG5hXrARaPp3kpS7h5Mgc119qbZuBbchFtkZAKQVOKwH0l+uWSv7IhXHp7ojEph74O++vLcyApIT0H3gwXd5QUxk2zLfm730LFzjz7/J/ZoQJ2y7NCvJL3xSEt4/zm7/cOREXC7l8uJrJWW59+nBYOdGUHMHFmWqfLxYLVMl5/VuTz73kdpOQCgGphaDkBynOq0mYh1y2nt9sqMeoNDeQIn+wHpDMt0cDJzg5zuLVfoWlLCCpl7ZgB1yJLtlBPLdDs75fZ2yYp0yY60ye1uVaLTfFSJktlIPqurV7Z56FICl/Y/AHzW0PEq3Q9ictvalJFxmZfRA9PsnekHNnNX0OQJlFJaDgCogir9UgQwnjmuNWr3AqurN9AzMyDZNF6Zp/ypfpqFruUoV5Ik2yo+4ANAPSj3XhCVuzF5WNIu5foAXopUtrnXMzPRttHLZOroSWehl8wdtfsygPHFtsbuM1t6ENosKSxlZFnmKB93C1TQmIhiAgCqgYxMAAq5iSoX+zwut7U7Tz6UnwUwa5Z3ap+jl1KqrCnftXz95mw7918JoK5Y5aRj+tzubrlhyenskxVW+cHM1MCLwIf9WLec1j6vH3CkS6GeAvcvyXuO9r7kfW/MAhcAapt1YrjK94OY3LZWJczLSZE+SRFZV4TlxqJyWttkhWNG+XiOqeWBwGYurmXnvf0BAFCqKv9SBDAuuVXO/InF8n9QV0zqU7oHXbRTiba27PKlYMAyWNJUKAjglpuFBWAiqmwybrJkMvlhvQzh9sDAC7Ok0gsCJKej2709XqDUFOlSqKfDK29vD0vW6GXKAxhfGkN2lQ+ci+jz9nFW2Bt8lr4vJsvHAwc2wanlhfZoIs8cAFAd/DoBIKvCkiWvbNyfPF6OWLBkyfs672Y4eM2fKJyPa5GRCUBje6iRCmLm6QsX6VKod620PFmuGZbd0+sFK4OinUokp6Z39Kjhde75mQ8AUK+s4WpnZBYRe9y7l/nVM0np8vHl6exMc2p5Aa5b9CEAABRFaTkAyRnJGbkfkDQ/vBcVljVL6Q/9GRlNgVN+81oBCctyJzdOeeSkM/hLcw1AfZjSNL1Plp1Q/qLJKkp+iPf7ypl94VIHMZLdHlGis02Jx/37WkePQh1mBmdUTttGb33tHfrLz//u24+nngxAvUokBirap3kDEs37TCn86plIRAp3+3u8sNTt7cW84WWB4T6pwGZhZx8f2nVaY9M3zesAJiDXTSRshX523jkXJ09EXvang09NP3H8ucwHAqWxGp0/JP9MIBPAmJcwun19ksLSrHQE1JrVJzcak9ud3GwHAwTFN+CJhsbte95w3fbXvnLBcXMNQH15vvkb687a/z9ftCyrKvscLxhgXIxtlBMNSzHJ7c4TxMxVbh7rltPa7T+nl52p4GNi3XI3RmR1XKHIRY/o8e88E3hSAPXIGuN9miSveiYSPHSOyY3F5HZ6y1b7Wm+QY7TTD2wW5tj27ya97ILb/+ZV79hvrgGYeELO4NB1l87u173WOW6isuo/IIufp8D/oQAopGoP+ykiq/eS5EajgYBlxBuOoTxZToZEY+POn/7DLe985lUEMQFI31ux7ttHznnJB1zX9bc7o6S7U05brntU+iBGsWjOjHW3szVVSp4sNw/1ev/zegJL50x/QfBbANSpRKLC0vKYnzmZ3m6VzO1uU6K1Va7as/v65hjUWIhj2fGnF7z+ut62doKYAIARq+yXIoCJZbhYaXm6fCh4TRVsjCX5GUmtSnRKltknLqNUqS1HgCCTYzf858533HzD/tdccsxcA1C/vnfb+n9//uyZt7gVTDDPFJa6W5Vozfyfs/zxPO0u0gcxkqRwh+yeduP+mRT17oXJYUBBsW595jtPGxcB1KPGk27uW0ipZpl7rTJEOry+vsms9FTLjJic5YWH+0iSY9nP/O+81y3++Tve93tzDQCAShQJXgCoB06RkiWvuXsk/7TdClldXbI7ejKGXqQbybcVLVVyQg2//MUNH3zH7+Zd9ry5BgDf/fiGh4+/6JwPuyr6WbuA3FPM3ViOi0Y2eaLVz9YMd2QGN31We49CfkDAbcsMlA5dd/fvnpXeZHwLgDp0SkrLJUnesEXJa7ER6u1VqIy2P45lHdh/0esW73znB/7XXAMAoFKn6JcigJriOgXvBW5nqxKdUXnlj8lgZvKDd5tchbM+oBcXlqIbUxN6UyWVEZXUb8kJhX7z68X/+Pe/JYgJoIDHVnV/4+iLzukcWTAzN6u9R6FggNL/zB/MJk+3xzAzNdtldYSlSI6yTUly2aMB8DnFSssjsnt7M+9HAcFWPuWJyu3sDLTB8JRSMePadv/vX/3atp/c8AFSywEAVVXklyKAehByc+57M0Wj6V5uawNlkpEuhXp6cmYbFRaTG+2WY2yOS+m35IRCe3Yt/se/+69Lrj5srgGA6Turur924kXn3GpeH5Fkj7hggDIaldPZmnUQ43a2ytkYCzw2LGttkaymU5aBBaDWWFbhA2eF++R2RpUMaCbLwJN9LhOdkmUOLCtLsg2Gn2le7LDZsg7ua734uh1L/rnwAwEAqEDhX4oA6oNd7ANzoEdmtFOJtnRPJKuv2/iAXq7MzXHwuXNx7dB/7XnjO96+55I3P2euAUA+j67q/urxFzbfZl6vSKTLLwmPys2VbZmD290WuFd6LTQU7cyf1VQkUx5A/UgkEoXvB7GY3Gg6c9LqCvS09Pdwdlevf98aXY6s5/ZfMP+6n/5j53+bawAAVEPhX4oYPy64RvetWqH7Vq3QsgvMxQqlnvMmLZphLuYw41J9qshraFl4k/+c1+gicxGnTpGSpWTfSkU7/RLzNDcW8078U5kAuftoeiWYwY11+Rw79NtfR9revuvKtoPmGgAU8+jtX77nxNTpq83r5YmkB120dXoZmIEAZcb9L9KV0QM4fa+UpGix7POC9+UJrw73IBct9l5/ua/P+7mKvU9ztMx/f+5beqlazOUq836WYq8JpWpwSxn2U2BY4nJ/oFikK2/5ueT3wRxBsNORdfiZCy96+086PvqUuQYAQLU0mBcA1CE3f0Zm6lS/WMl3tFOJTi9Lye7pDfSFU6AE0wt2JhvHlyNh20/vvfLti59609v7zTUAKNW31txz95tXLGk8/fBzFZaae1nkQW53mxz1yO7w+gg7belycaujR7aSw8vCstq9IIHbabTVMFiWlS/WgDFy0eL8QdGy7HpYN27eI6lZi5bepLfNkHTgCd264YeKm48tW7PmzW2WJL1t6Qq1bF6j9buMh5SgZeFN+lTzD/3XOVJzNO8CSWou8prmaFkqaLtH61c9rCeNR8BTyrCf4KFzZum3P7CsrVVOV6/siHfoErxPSd6Bs3fY3CU7EtjDlciRnn/2wr/6ux933JrzXxsAgGop+ksRQB1w3Zz3gtSmNrZRTqrku0BD+WinEm3+AJ9kADRVgulnL0XL3BlLckKh/+37m6sW/+pNbz9grgFAub615t71g2e+sMu8PhLpbMuw7J7c2edW+9riJeU+N899Gcgw43xdlMp63KOdFYSQWhbepE8tbE5lwY40eNuy8NJ0RumBJ7SlgteETNbJIqXlka6SDp0zhzf2pjPGk8PHFJPTVn4Q07Wso384/y///kcdH/+VuQYAQLWRkXnKBE+hC3vSP8kuNTPgosUrdNFi82pafOvdunXryJLair2WYq8hWeK0zLzMifypkhWTtNq97CIpGghiSopI7saYrA6vJ1z2sJ5uOa19Xr+4rl6F/MveQIuwrJ4e2eFo9vfl4dj27/sWvmlx79ve84y5BgCV+uan7/3c1R+9oXHy80c+ZK5VLJCZbnX1yt64Ua78iGYgM71QoCGFqeV5jdUe5MnNa/Tk5uRasWzKYuujo2XunHSZ+K49Fe2f4lvv1q3yg5ny37+5ySzScqUzRCUpvvupqr4PLQtv0jI9MuJ97LjjDOW/H4Tb0+0ulgcPnbtk5WgJpGinEq3+ekePQpGY3HA4MHyswPfm4ErH/xD+i+t/+P5P9JprAACMhvy/FAHUjaySpdQHbi+LMiPgGI2W0BPTCFSmso9iUjQmaZaU9T3ZHDu0/+kFr1/8n297TzU/BwGAJOnRT2/6zMCUsz5vXh+RYGZ6hzeZXJKsvm4l2jbKKVJSHsAeDUUEg4b9emRbJYFHT3zr3boxeJB8wTWV9bi84FIvmCtJ2qMt1Qw4zrhUyxY2ez1BF88xVye0rH1aSkR2j3ef8YKQycuzpII9MaNyWv2+mckgZqqvpj/ELBLJ8X2ZXOlEf3juDU/ccvvPzDUAAEYLGZmnzB6tX7VG683Lkrd5TG3Q0mVCmZkBhsD3JDM4M5WeAVqKnK9lxqX61NLL1OKvZ7+GQPkSmZe1xRlOJk4GJl3GAv2TIrJ72+UG+yn1xeQqIssvT8roiRmcci755eXBk/2wrFnK6M1kcizr2fjFkbaf//37fm+uAUC1/PvaTXe8Zfn1jZOOHe0w1yoW65bTplSAwQrPktMdVapXXUkoLc+HPYgvWFZ+YI92jrj5irc33ZnKeG3W25Zeo/0lv1fNWnR5OsAY3/rDEr+vFHO0zP/3lSRdMEcXba4sA3U8anCdnPcDqyvPcJ9ot5xot19dk7snZupwOeydLFsdPbL7gns5/9A5zz3LlQafO+8VN2790Ke3m2sAAIymnL8UcQrNuFSfSgUx+/XIhlI3j8AI+Cf96UbvUrJ/Usjvh6ngSX8wA2Cj0RNTypxy3upviiNdCvW0S33dcpLX8nAs68Dv5/3N4p/+/fv+11wDgGr797UP3D445cwvmddHJNYtd2OeCEAJ8mdgAZ6LLk8H9p7cVr1S9ic3r/HKyg88oVtLDmJqFLMxm7VoafAwfoIEosuQsLI/swX7mLsZw33S3O5kqbnRE1MK9MWMygn0Nw91RaRYTIr1pR9rcCzr5B/Pe/mSxz/c9WNzDQCA0UZGZk3JPG1+cvPd2jLi0/USBTIZsnlTJ98WvDSG/Z8wBhKZmT+Z2ZUmv3eSAo/rTvbE7JK1cVZWw3m3Mzkps0N2V1ROa94nl2NZf9w377LFO975wfw7aACosm+uvX/VW//5+samE0eXmGuVch+Pyu0Iy5o1y7tnmg8opJ6G/bAHqUByMrhU6ZCfgnY9rBvLes7Ry8a8aLHfe1RSvR7yW04wIzO9D5MkhTtk9yYTyoPVNOnqGLezU+pK9sTcKKftcWltsiS9U25McpP9zSNdsmcFhzxmclwNHXrJrHf/x4f/5QlzDQCAsUAgs4ZctDh92hzfeneqLCpdClWaYk3uWxbepPsWJr/q1yMb7taWwHrFDvxQt676oXk1Q3zr3bpxq3kVp5otbz/sdrcp0Z28GpYVkdxo8JQ/sCnOKGOKymlt9RrO90S8r40NsNvZKidZ4tTTnrUuSY5lHfp3ImmIAAAgAElEQVTf1gXX7XznP/3WWAKAUffo7V/52Ftue1dD44lj/2CuVSTWLac1dVMtV/0EMquhzvYgwcng1QwaVmyUsjHNwU5jeshfS5x0hrbV3p6nd2Vmf/JgdYwTjUqtrbK6emWpT2pfG1gLfr/3GDvSIbs3nDWY0XHd4SMzz3vvD5bf+YPAZQAAxhSBzBrRsvCm9EZt18NjP40x6wNAYPpmMtiZtXEMPmak6q9MqKbkKmGM+FMwY8lT+eTEcXkb36wypmS5eY4BQT63u03O42G5MfN7Jcey//TMhfPfvvNdH/kvcw0AxkJi0iT332+/5yNv+fi7GhqPH/s7c30sufU0tbzW9iAFM0QlzbhMn1p1mXk1Ldf6gSd064anMq9VbI4WpQ64SwwaznhR/p9nxOZo2SgM38nYGyvzkL/ehNxEKnbp9kVz9Ls0RLqyqmMk71DZDbfL7vFLynNMJXc7W5WIRGRFo5kH0q6bONLyso7vf/Rz2d8EAMAYIpBZCy64Jp1xeeAJ3bo5c+pkSRkEZQz7iW+9u3igNNhAHhNewk1kfWBOlkFaGSVL8vpe5tj4phvOLy+4uc4ZxJSOPHv+K//ux+0f2W2uAcBYSkya5H77Yxv++Y2r2xtOGxxoM9fHiiU3d9JVPWAPUlAwG1MH+v0S+zICu7kCraXIU9Kf8XqqJKsa6VQc8teQjNLyaGZFi9XVKysaaAkU9g+ic1THSGFZwZLyjLWAXEHMF7906fdvXfedwGUAAE4JApmnWsZwnz1an2ODeCq0zJ1T3sn9roe9xvBlMkuGcIrk6MXmRjvltsqfOO5P8clzeh88+c/XcD4fV3o+PudVf//TZat/ba4BwKkweNYLnO+s7P7Qm1a3NzQODiwy18dErkz5OnHK9yBZGaJS8QPhQCAxT8BPatY881LZgtmYNWDGpVpW5deT9e9S4b/vhGLnuR+E22VFJCvSq5Bictq6ZSWHMeYKVEbac5SUF+ZKzvMvfsnN3/vYFx411wAAOBVy/1LEGAkO96mt5uUtzdXdlKLGFfrAHO1UorVNTkzyGswbUy8V8U/+Y3KWmyf/hbmWdfQPc1vf8dNlq39hrgHAqTR41guc767+0s1DTZNOyYd3q473aDW5B7lgTronZb8ZxBw7wX7qp16zFrUVKMGvAEHMPDKG/QQ9Lje1RwvLztnHPCm5X8tzKJ2DK7nPnz3zQ9/92PqqtNMHAKAayMg8lQKb4pxTOX3JUvGsMps8ig37KS44CdPXfKk+tbRZW/L1sbzgGt1nfg/GDdspVsIYk9vWqkS43euD2dGjUIc3GVNXeE3ni5WUm1zp+IFZF/7DE0tX/ae5BgC14MQZZyWiK76wLPLJ94caTw680VwfbbbjFLk3T0S1uQe5aG6yeqZf8VMVx5xxqRbl/Tn7tWXDmvzDGwMtiJIZpemgYb4+pIW1LHxbaaXsJZmjZatWZFzJnflanywnu3JGkhSLeQfIba1KBKaZp6eTpw+Yk0OC3I2lHzofnX72//nubet7zOsAAJxKuX8por5lBFglqVlvW3yZWgJlVZhgCmVkBsW65bS2yol6QUw3FpHV4TWML6ek3JUG+mfNeee2D31yp7kGALXk6LTm4R997Asdw6dNKi2FqYoa7fSAj7pRk3uQQHD1wB7tLDPgl+YFG29ctUY35iw9L6T62Y8jEuzvLunJzXmCzBUiiGkqduAsJaeOJ5KTxsMdsnt7/fZA5e/Xnp929vLvrL7738zrAACcamRknkq7HtaNWUN5fIGT86SCQ3/KGPZTTDLr4Mlde3TRBXPkndT/UC1Lr9FFmqNlSy9V3NyAV1j6k1VChFMjR4/MQtxOb/5FJaf7rjT43HmveOfWf7rjp+YaANSi/mnNwz/uXPPeS9beek9oaPB15vqoGcwexDbR1eIeJFjO/eS2cgOQ1ZGR/Xhgj57UnLIGIrU0v8i8VLmM/u6Sdj2s9bukZSOqBkrLvY+tc3lLy3PxApryp5O7nVEpkiw5L22/dnzai1Z85xN3329eBwCgFpTxSxFjKb3hrFYJ0x6tX+VlARQ84U6VLZl/7x6t3/CEt3mfcVnmBhbjn1vOBjkpLEXCkmJyH0+f7ieDm7k4lnXy4Mtm/+PjH+76sbkGALXsD+f8+dDWD3ziPYmG054w10ZLY72VltfgHqRl4U3pYOeBJ7RltAJshcrGMwbq9OuRnpEFU0fc47O5OZ0ZeuAJ3VpBEFkzLtWnsg7Yvb0qQcwcSq2cCYp1y/GzM62I18s8uF/L5/gLXrTq0U985V7zOgAAtYKMzFPKy5JsyVE+k250/0ftr7iEqXypSaEH9mhnf3Nmz84DP9T6rXO8UqILLtWibY8EVzGOWZVskDVLVlhSLCr5+2KrvUd2R1iuHs8qXXJcDR1+yax3/+D/fGZbxgIAjBMHZ50/+MT7Pv6Pl278xFcbhk6+1lyvtkarvgKZtbYHyexNvkfrzUzQipRQIXOgP/PvCQQO41sf0ZYD0qLgegnS+0ozSFyBXT/UI5fP0dtmVPKe5Pv592h9vh6okFVm5UymiKyIMvZrqWzNZBm678QLpn3y0U9+5UuBSwAA1BwCmadMsxYt9Tdyc89Xy9bgprVZ5yb3m6nNbL6NX7biw37yNXWfo0X+hj2++ynFlXwRafGtd2t98006d9vd2nKgOb2RHoNG+xhNpfReKszq6pUdkaSo3Mcz11zXHT4y87z3Rpff+YPMFQAYX/pf8f/Zu/P4uKt6/+Pv851J0jVdaNpCh12ENlrZp1VZXLB6hXvBNFTqel2AC1frglVBW9qLcMnPrSigKIJejLcmQbwgUBEECpYUFSikBRQUmLK0tNDQLZnM9/z+mMx2ZiaZmUzSTPJ6Ph4+bM45mZmc77R8857POeetex/89Nc+8c6fXnFToCc6z+0vp0B3zwDCi0ozzO5B3CrIa8oVsr2qzVsk9bEsPGv5escmrW+crRO33K+r790q5ZibvqUfoFSOD8i36pb7NmmWipmTOp15wbllPBxolClp5Uyvww+L//+zz/aGlqfFD26UpPMOT37wvGfilCtvveyGa+ODAQAYvggy95mtenjjVp01vU6aPlsnTF8bv7GVJE3TrMSN3tZXi/ykewCSG+xv1fqNW/PeJ69vuc5tQqWzpWwz8azsM5I5/Hx5j5wfb7prqWJLM8/DsNbGOg845D9+//VVQ35QBgAMhlfectyedR/9wsfn//L7vwxEoye4/eViRtPS8uF2D7JlrS6+9EmdecFZUmuuD39dqVPDZ516ri6/9GTl/uB4q17cqrxBZu79ITfplnvv18P3Flv92Gv6tLSl4E61Z6k6btbVbltOBJjlEDBemf4tSJ1sbpceI7/3zqxr4pTv3HrFjVdlDAUAYJgiyNyHNm/cpM2n1mmW6nTWKbN1S2KPobQTO9dvTOw71LtvUO9XWfo97Kc/dTrzlN49pxIncub5JSKnnBvtp6pI850+WehG+xhkJQWZz8j++C6p6TRJkv3RQvnOcnIr+Z0zD7xwzSVX3Z7RAQAV7sXj37mrvafno/N+9cP/9WLRY9z+cghotBz2M1zvQbbqlmvKH5yub/mW1re4rX3bXGqIqbQl+0pUuw6NzKX5meLXZFrBq41GvdgAqrOf+YPsM+fLnNakwCPxpvQQc/fESVfdsfxH30t9AwAAwxtB5r60Za1u6Tg5fhNdP1sntmzSeqVO7JQ26eGiA8kS1Z+U/LQ8a0lTXqnqg/7k21i+lJt5DIYSlyzdtVSxPL++W8l/Y0bo82u+efWtbh8AjASReafufDTgnXP0TatWe7Get7n9A1XVY03e09NGEu5BBlGdTpiTWiK/fmPuuRgMm+/9jX4zJ7MaMzNULu0k9RMbL9GFdffr4qL356xc/oD2yHxG9qs/km09X0bPyF+4ULb3c+e94yddc8fy65piY8YUcpg5AADDAkHmPrZ+4yZdWD9b0mxd2Dhb6++bljq1siMebA6F5Cnp5TyRM7mUqQwby2OQlXLYT35WsrtnhL545zevHvzTGABgH/r7CSe/EejqPOetLT/7tReLvcXtHwhPAwkvKsfwvgcpfI/ybHU664JLMg8t6leu5egDMP0onZgIEhPVrkWadeq5unzOphKCw626pfV+nXjBydpc0mqhPkw/WZdfenLeatsRp6RDGdM882P5x/w4o6lr/MSf/G7FdZcTYgIAKg1B5r6WPPlRUv2HdHnd1uTyn+Sy8rRl44Xo/7CfXltSn2Zvvnet1p/6IangSogCJE/ZLMfG8hhMnspb87NzvxkX3fHNq1vddgAYiZ565+k7PNkP17fc0OLFYoX/B7sfxu8xCgwsv6gE3IMMnhNPObk8y8p7g8Oity/aslYXX7rWbUWx/PJ+qNE1bsLPblvx0xWEmACASkSQuc/FT348qzeonDW9d/lPOasSCrJJD997vzYX8pxFBqvxaoZLdKHbnEfRN8kYuAEtWcq0e+qMr96x4rr/ddsBYCTb9M4zXvN2di2ac3tzi/FjR7r9pQj2+KMiyOQeZJBMPym1ykebdEuJlYuz6lJL0wdW3VoOdTogbdvNfNsGjDQBz5TtA+euMeP+57aV1y8jxAQAVCqCzOGg42ZdPSdzw/mMPaI6btYn+rupHvBhP9L6e/nEfLTyjQJuWyl2T512yW0rr7vJbQeA0aDj/Qu3xaLdi95yV2ur58fe5PYXK6BSDmKrTMP3HqSfwxZzSB1yU+Zl4kXKqMa8d+2QbVc0uKZpVnLPzeEQrA4Rv6cs92nRMeN+deeyay8mxAQAVDKCzGFifcvNOqE+tQfTiY2XSCotkBx0RQarCaNmH6MKZPwSD/tJs3vytEtvW3n9jW47AIwmT56xeGt1INB4xJ3/e3PA9w91+4vhRaOearhVy8A9SGHKVI2ZWQE5DJbpJ/c+lYbF6xkqdoB7ZErqrhnTeseya5d21U723T4AACrJgP+jiHKo05kXZG8kf2LjJfr5pZmVmhUh/ReILffr4ktv1nrFKxTcXywwPBgzsCVLeyZPvey2y67/idsOAKPRhn9ZtOXZd32w0Q8EnnP7ihEc4L/NoxL3IJLqdObCclVjplVAbtla+h6b/ZqmA9JON89n1pzZqSBzUF/PMDPALYCiNWN/s2bFT75EiAkAGAn4mH8YmHXqWfHDfqT4SeX1szNCTffwnpxLxwupUBgCJzamB69b9ZvW+BL5q6+5X7MuOFmz6j+kn9dv0tW9v1hgmLClf6ixZ+KUK2+97IZr3XYAGM0eOeszLxmp8bA//q7N8/0D3f5CeH7Uk8a4zciDe5C4ExvPTd1XbrlfV5dcjSmnAnIw1emshSfp4b5ORp9+ki48NW2DzK2v5h878pT8oUa0Zuytd13ygy/smVAbc/sAAKhEBJn7WGofJcUrB1rWanOL9HDGzXgmN9gcqHIst8r85UHK2hdqy1pdfI10+QUna1Zi4/2Om/WJlt6T2bGPlfZJf9fEKd+59Yobr3LbAQDSX8/6zGZvV9fZh6y/u83zYwe4/f0J9NiSw4vRpOz3INNP6h07UHU664JLdJbbXLDi99icdeq5aXOxSVf3FQwm1emsU2brlqz5cCo7B3LqeU6b9HCHdGLi9faejF6o9Rvd1ztyGVPa0vJo9ZjbH7jkB/+5c2pdj9sHAEClIsjchzJCTOdmc33Lt7S+JdfNebmVvm9S5utPl6faYctaXXzpq7rw0t5l9PUf0s97f7acVaYYQsXfIO+eOOmqO5b/6HtuOwAg5c8fvfD5qoC3cNaf1tzsWTvT7e+LZQugvLgHyaH+Qxlzsr4lxzykiZ/43Ts+bT5y26r1G0u7X+zL+vvu15n1JYTGHTePjGtWKBsr+t+Cnuoxd/1p6bcu2EqICQAYYQgy95X0m80t9+viPJ+YJwJNSTk3rx+wjk193uS68v/iENf/LwPx0z/ditP0KtNyVIiiWMVVZO4dP+maO5Zf18SplwDQv3Xn/Mdz4Wh344EP/7HNs7aAnQDjgraHisw0Q3YPsjHVVzGce8TN917Xz1xImzdu0uZT6woLETvWFlUZWrAta3XxpU/qzAvSlsP3o//rPAIVuUdmT1XNPev+Y/m5r8x8U9TtAwCg0hFk7isdN+sT+pB+PmdT/q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" 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R语言案例演示Walk forward optimization
前进优化方法在股票投资组合中通过采用偏向于组合波动而非收益率最大限度地提高不同权重下投资组合的夏普率,即使用股票时间窗口最大化一个投资混合在不同权配置下的总回报。
接下来用代码说明从获取数据到输出结果所需的步骤。 1. 股票数据获取及整理
require(quantmod)
require(PerformanceAnalytics)
setSymbolLookup(GZMT=list(name ="600519.SS", src='yahoo')) # 贵州茅台
setSymbolLookup(MSYH=list(name ="600016.SS", src='yahoo')) # 民生银行
getSymbols(c("GZMT", "MSYH"), from="2009-01-01")
## [1] "GZMT" "MSYH"
returns <- merge(Return.calculate(Ad(GZMT)), Return.calculate(Ad(MSYH)), join='inner')
returns <- returns[-1,]
- 不同组合权重下的累计收益率
configs <- list()
for(i in 1:21) {
weightSPY <- (i-1)*.05
weightTLT <- 1-weightSPY
config <- Return.portfolio(R = returns, weights=c(weightSPY, weightTLT), rebalance_on = "months")
configs[[i]] <- config
}
configs <- do.call(cbind, configs)
cumRets <- cumprod(1+configs)
- 测算不同权重配比,最大限度地提高每月月底的夏普比率
period <- 72
roll72CumAnn <- (cumRets/lag(cumRets, period))^(252/period) - 1
roll72SD <- sapply(X = configs, runSD, n=period)*sqrt(252)
sd_f_factor <- 2.5
modSharpe <- roll72CumAnn/roll72SD^sd_f_factor
monthlyModSharpe <- modSharpe[endpoints(modSharpe, on="months"),]
findMax <- function(data) {
return(data==max(data))
}
weights <- t(apply(monthlyModSharpe, 1, findMax))
weights <- weights*1
weights <- xts(weights, order.by=as.Date(rownames(weights)))
weights[is.na(weights)] <- 0
weights\(zeroes <- 1-rowSums(weights)
configs\)zeroes <- 0
- 组合表现及结果
stratRets <- Return.portfolio(R = configs, weights = weights)
rbind(table.AnnualizedReturns(stratRets), maxDrawdown(stratRets))
## portfolio.returns
## Annualized Return 0.2061000
## Annualized Std Dev 0.3152000
## Annualized Sharpe (Rf=0%) 0.6540000
## 4 0.4358557
charts.PerformanceSummary(stratRets)
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*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" title alt width="672" />
- 加入比较项-非组合下的单只表现
stratAndComponents <- merge(returns, stratRets, join='inner')
charts.PerformanceSummary(stratAndComponents)
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*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" title alt width="672" />
rbind(table.AnnualizedReturns(stratAndComponents), maxDrawdown(stratAndComponents))
## X600519.SS.Adjusted X600016.SS.Adjusted
## Annualized Return 0.182100 0.1611000
## Annualized Std Dev 0.319500 0.3451000
## Annualized Sharpe (Rf=0%) 0.570000 0.4667000
## Worst Drawdown 0.529815 0.4379973
## portfolio.returns
## Annualized Return 0.2061000
## Annualized Std Dev 0.3152000
## Annualized Sharpe (Rf=0%) 0.6540000
## Worst Drawdown 0.4358557
- 年华收益率比较
apply.yearly(stratAndComponents, Return.cumulative)
## X600519.SS.Adjusted X600016.SS.Adjusted portfolio.returns
## 2009-12-31 0.6628246 0.76865724 0.33702777
## 2010-12-31 0.0952092 -0.36536060 -0.34610867
## 2011-12-30 0.1826568 0.19551653 0.15907019
## 2012-12-31 0.1019296 0.45991037 0.57773693
## 2013-12-31 -0.3611985 0.02297592 0.00699064
## 2014-12-31 0.6790561 0.71832221 1.18715154
## 2015-11-26 0.2587723 -0.17880127 0.04664253
通过累积收益率、日收益率和最大回撤率,以及年华收益率比较,可以发现采用前进优化方法的投资组合明显优于传统的投资策略。