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/* Copyright (c) 2018 jones http://www.apache.org/licenses/LICENSE-2.0
开源项目 https://github.com/jones2000/HQChart
jones_2000@163.com
个股指标回测*/
/* 指标回测 计算: Trade: {Count 交易次数 Days:交易天数 Success:成功交易次数 Fail:失败交易次数} Day: {Count:总运行 Max:最长运行 Min:最短运行 Average:平均运行} Profit: 总收益 StockProfit:个股收益 Excess:超额收益 MaxDropdown:最大回撤 Beta:β(Beta)系数(指标里面需要又大盘数据) NetValue: [ {Date:日期, Net:净值, Close:股票收盘价, IndexClose:大盘的收盘价}, ]*/
function RegressionTest(){ //只读数据不能修改
this.HistoryData; //K线数据
this.BuyData; //策略买数据
this.SellData; //策略卖数据
this.IndexClose; //大盘收盘价
this.NetCalculateModel=0; //净值及收益计算模型 0=使用B点开盘价计算 1=使用B点下一天的开盘价计算
this.InitialCapital=10000; //初始资金1W
//计算结果数据
this.Data=new Map(); //key:DATA_NAME value:数据
this.SetPolicyData=function(obj) //设置策略结果的数据 {KLineData:个股K线数据, BuyData:策略买数据, SellData:策略卖数据, IndexClose:大盘收盘价}
{ this.HistoryData=obj.KLineData; //K线数据
this.BuyData=obj.BuyData; //策略买数据
this.SellData=obj.SellData; //策略卖数据
if (obj.IndexClose) this.IndexClose=obj.IndexClose; //大盘收盘价 如果没有大盘数据 就不计算β(Beta)系数 和指数涨幅数据
}
this.ClearData=function() //清空所有的结果数据
{ this.Data=new Map() }
this.GetBSData=function(startDate) //BS点配对 { B:[{Data:K线数据, Count:天数, NextOpen:下一天的开盘价 }], S:{Data:K线数据}}
{ var index=null; for(var i=0;i<this.HistoryData.length;++i) { var item=this.HistoryData[i]; if (item.Date>=startDate) { index=i; break; } } if (index===null) return null;
console.log(`[RegressionTest::GetBSData] startDate=${startDate} index=${index}`); var aryBS=[]; var bsItem=null; for(var i=index;i<this.HistoryData.length;++i) { var buyItem=this.BuyData[i]; var sellItem=this.SellData[i]; var kLineItem=this.HistoryData[i]; if (bsItem===null) { if (buyItem>0) { var bItem={Data:kLineItem, Count:0 }; if (i+1<this.HistoryData.length) bItem.NextOpen=this.HistoryData[i+1].Open; //获取下一天的开盘价
bsItem={ B:[bItem], S:null}; //B可以多个,S一个
} } else { for(var j in bsItem.B) ++bsItem.B[j].Count; //天数+1
if (buyItem>0) { var bItem={Data:kLineItem, Count:0}; if (i+1<this.HistoryData.length) bItem.NextOpen=this.HistoryData[i+1].Open; //获取下一天的开盘价
bsItem.B.push(bItem); } else if (sellItem>0) { bsItem.S={Data:kLineItem}; aryBS.push(bsItem); bsItem=null; } } }
var data={StartDate:this.HistoryData[index].Date, StartIndex:index, Count:this.HistoryData.length-index, BSData:aryBS };
console.log('[RegressionTest::GetBSData] data',data); return data; }
this.Calculate=function(data) { var day={ Count:data.Count, Max:null, Min:null, Average:null }; //Count:总运行 Max:最长运行 Min:最短运行 Average:平均运行
var trade={Count:0, Days:0, Success:0 , Fail:0, SuccessRate:0}; //Count 交易次数 Days:交易天数 Success:成功交易次数 Fail:失败交易次数
for(var i in data.BSData) { var item=data.BSData[i]; for(var j in item.B) { var bItem=item.B[j]; if (day.Max===null) day.Max=bItem.Count; else if (day.Max<bItem.Count) day.Max=bItem.Count;
if (day.Min===null) day.Min=bItem.Count; else if (day.Min>bItem.Count) day.Min=bItem.Count;
++trade.Count; trade.Days+=bItem.Count;
if (item.S.Data.Close>bItem.Data.Open) ++trade.Success; else ++trade.Fail; } }
if (trade.Count>0) { day.Average=trade.Days/trade.Count; trade.SuccessRate=trade.Success/trade.Count; }
//计算收益(总收益)
var profit=1,buyPrice; for(var i in data.BSData) { var item=data.BSData[i]; if (this.NetCalculateModel===1 && item.B[0].NextOpen>0 ) buyPrice=item.B[0].NextOpen; else buyPrice=item.B[0].Data.Open; var sellPrice=item.S.Data.Close; var value=(sellPrice-buyPrice)/buyPrice+1; profit*=value; } profit-=1; //公式:[(1+收益1)*(1+收益2)*(1+收益3)……(1+收益n)-1] x 100%
//标的证券收益
var yClose=this.HistoryData[data.StartIndex].Close; //使用前收盘
var close=this.HistoryData[this.HistoryData.length-1].Close; //最后一个大盘收盘价
var stockProfit=(close-yClose)/yClose;
console.log(`[RegressionTest::Calculate] stock profit first[${this.HistoryData[data.StartIndex].Date}, YClose=${this.HistoryData[data.StartIndex].YClose}] end[${this.HistoryData[this.HistoryData.length-1].Date}, Close=${this.HistoryData[this.HistoryData.length-1].Close}]`);
var netValue=this.CaclulateNetValue(data); var maxDropdown=null, beta=null; if (netValue && netValue.length>0) { maxDropdown=this.CaclulateMaxDropdown(netValue); if (this.IndexClose) beta=this.CaclulateBeta(netValue); }
//Profit:收益 StockProfit:标的证券收益 Excess:超额收益(加上BS配对的数据)
var result={ Day:day, Trade:trade, Profit:profit, StockProfit:stockProfit, Excess:profit-stockProfit, NetValue:netValue, MaxDropdown:maxDropdown, Beta:beta,BSDataPair:data.BSData};
console.log('[RegressionTest::Calculate] NetCalculateModel, result ',this.NetCalculateModel, result); return result; }
this.CaclulateNetValue=function(data) //计算净值
{ var index=data.StartIndex;
var aryDay=[]; //{Close:收盘 , Open:开盘, Position:持仓数量, Cache:现金 , MarketValue:总市值}
var lastDayItem={Position:0, Cache:this.InitialCapital }; var bsItem=null, buyPrice; for(var i=index;i<this.HistoryData.length;++i) { var buyItem=this.BuyData[i]; var sellItem=this.SellData[i]; var kLineItem=this.HistoryData[i]; var dayItem={Date:kLineItem.Date, Position:lastDayItem.Position, Cache:lastDayItem.Cache, Open:kLineItem.Open, Close:kLineItem.Close}; dayItem.MarketValue=dayItem.Position*dayItem.Close+dayItem.Cache; //市值 股票+现金
if (bsItem===null) { if (buyItem>0) //买
{ bsItem={ B:{Data:kLineItem}, S:null}; if (this.NetCalculateModel===1 && i+1<this.HistoryData.length && this.HistoryData[i+1].Open>0) buyPrice=this.HistoryData[i+1].Open; //使用B点下一天的开盘价买
else buyPrice=dayItem.Open;
let position=parseInt(dayItem.Cache/buyPrice); //开盘价买
let cache=dayItem.Cache-buyPrice*position; //剩余的现金
dayItem.Position=position; dayItem.Cache=cache; dayItem.MarketValue=dayItem.Position*dayItem.Close+dayItem.Cache; //市值 股票+现金
} } else { if (sellItem>0) //卖
{ bsItem.S={Data:kLineItem}; bsItem=null;
let stockValue=dayItem.Position*dayItem.Close; //卖掉的股票钱
dayItem.Position=0; dayItem.Cache+=stockValue; //卖掉的钱放到现金里面
dayItem.MarketValue=dayItem.Position*dayItem.Close+dayItem.Cache; //市值 股票+现金
} }
//缓存上一天的数据
lastDayItem.Position=dayItem.Position; lastDayItem.Cache=dayItem.Cache;
dayItem.Net=dayItem.MarketValue/this.InitialCapital; //净值
if (this.IndexClose) dayItem.IndexClose=this.IndexClose[i]; //指数收盘价
aryDay.push(dayItem); }
//console.log('[RegressionTest::CaclulateNetValue] aryDay',aryDay);
if (aryDay.length<=0) return [];
var netValue=[]; //净值 {Date:日期, Net:净值, Close:股票收盘价, IndexClose:大盘的收盘价}
for(var i=0;i<aryDay.length;++i) { var item=aryDay[i]; var dataItem={ Net:item.Net, Date:item.Date, Close:item.Close }; if (item.IndexClose) dataItem.IndexClose=item.IndexClose; netValue.push(dataItem); }
//console.log('[RegressionTest::CaclulateNetValue] netValue',netValue);
return netValue; }
this.CaclulateMaxDropdown=function(data) //最大回撤
{ var maxNet=data[0].Net; //最大净值
var maxValue=0; var maxDay; for(var i=1;i<data.length;++i) { var item=data[i]; var value=1-(item.Net/maxNet); //1-策略当日净值 / 当日之前策略最大净值
if (maxValue<value) { maxValue=value; maxDay=item; } if (maxNet<item.Net) maxNet=item.Net; //取当前最大的净值
}
console.log('[RegressionTest::CaclulateMaxDropdown] maxDay',maxDay); return maxValue; }
this.CaclulateBeta=function(data) //β(Beta)系数,参数是净值数组NetValue
{ var lastItem=data[0]; //上一天的数据
var indexProfit=[]; //大盘涨幅
var bsProfit=[]; //策略涨幅
var indexProfitTotal=0, bsProfitTotal=0; for(var i=1; i<data.length; ++i) { indexProfit[i-1]=0; bsProfit[i-1]=0;
var item=data[i];
if (item.IndexClose>0 && lastItem.IndexClose>0) indexProfit[i-1]=(item.IndexClose-lastItem.IndexClose)/lastItem.IndexClose; if (item.Net>0 && lastItem.Net>0) bsProfit[i-1]=(item.Net-lastItem.Net)/lastItem.Net; //if (item.Close>0 && lastItem.Close>0) bsProfit[i-1]=(item.Close-lastItem.Close)/lastItem.Close;
indexProfitTotal+=indexProfit[i-1]; bsProfitTotal+=bsProfit[i-1]; lastItem=item; }
var averageIndexProfit=indexProfitTotal/indexProfit.length; var averageBSProfit=bsProfitTotal/bsProfit.length;
var betaCOV=0; //协方差
for(var i=0;i<indexProfit.length;++i) { betaCOV+=(bsProfit[i]-averageBSProfit)*(indexProfit[i]-averageIndexProfit); }
var betaVAR=0; //标准差:方差的开2次方
for(var i=0;i<indexProfit.length;++i) { betaVAR+=(indexProfit[i]-averageIndexProfit)*(indexProfit[i]-averageIndexProfit); }
return betaCOV/betaVAR; }
this.Execute=function(obj) //开始计算[ { Name:名字 , Date:起始日期 格式(20180101) }, ....]
{
for(var i in obj ) { var item=obj[i]; if (this.Data.has(item.Name)) //已经计算过了不计算
{ console.log(`[RegressionTest::Execute] id=${i} Name=${item.Name} Date:${item.Date} is exsit.`); continue; }
console.log(`[RegressionTest::Execute] id=${i} Name=${item.Name} Date:${item.Date}`); var data=this.GetBSData(item.Date); var result=this.Calculate(data); this.Data.set(item.Name, result); } }
}
//计算叠加数据 (日期必须匹配)
RegressionTest.CaclulateOverlayData=function(obj) //{Main:主数据, Sub:[]//多组叠加数据}
{ if (!obj.Main || !obj.Sub) return null; var count=obj.Main.length; for(var i in obj.Sub) { var item=obj.Sub[i]; if (item.length!=count) { console.log(`[RegressionTest::OverlayData] id=${i} data count not match. MainData count=${count}`); return null; } }
var result=[]; //[0]:主数据 , [1...]:叠加数据
var firstData={Sub:[]}; firstData.Main=obj.Main[0]; result.push([]); for(var i=0;i<obj.Sub.length;++i) { var subData=obj.Sub[i]; firstData.Sub[i]=subData[0]; result.push([]); } for(var i=0;i<obj.Main.length;++i) { var value=obj.Main[i]; var valuePer=(value-firstData.Main)/firstData.Main; result[0][i]=valuePer;
for(var j=0;j<obj.Sub.length;++j) { var subData=obj.Sub[j]; var subValue=subData[i]; var subValuePer=(subValue-firstData.Sub[j])/firstData.Sub[j]; result[j+1][i]=subValuePer; } }
return result;}
RegressionTest.GetPolicyData=function(data) //获取指标数据里面需要计算回测的数据
{ var policyData={KLineData:null, IndexClose:null, BuyData:null, SellData:null}; policyData.KLineData=data.HistoryData.Data; //个股K线数据,
for(var i in data.OutVar) { var item=data.OutVar[i]; if (item.Name=='INDEXCLOSE') { policyData.IndexClose=item.Data; //绑定大盘收盘数据
} else if (item.Name=='DRAWICON') //买卖盘BS函数
{ if (item.Draw && item.Draw.Icon) { if (item.Draw.Icon.ID===13) policyData.BuyData=item.Draw.DrawData; //买
else if (item.Draw.Icon.ID===14) policyData.SellData=item.Draw.DrawData; //卖
} } }
if (policyData.KLineData && policyData.BuyData && policyData.SellData) return policyData;
return null;}
//导出
var JSCommonTest={ RegressionTest: RegressionTest, //个股单策略回测
};
export{ JSCommonTest};
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