<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Ema on 格物堂</title><link>https://gewutang.cn/tags/ema/</link><description>Recent content in Ema on 格物堂</description><generator>Hugo -- gohugo.io</generator><language>zh-cn</language><lastBuildDate>Sat, 09 May 2015 00:00:00 +0000</lastBuildDate><atom:link href="https://gewutang.cn/tags/ema/index.xml" rel="self" type="application/rss+xml"/><item><title>三重动量趋势追踪策略及其 R 实现</title><link>https://gewutang.cn/2015/05/09/rate-of-change-ema-strategy-demonstrating-ternary-indicator-ordersets-to-handle-simultaneous-stop-loss-and-take-profit-orders/</link><pubDate>Sat, 09 May 2015 00:00:00 +0000</pubDate><guid>https://gewutang.cn/2015/05/09/rate-of-change-ema-strategy-demonstrating-ternary-indicator-ordersets-to-handle-simultaneous-stop-loss-and-take-profit-orders/</guid><description>&#10;&#10;&#10;&lt;pre class="r"&gt;&lt;code&gt;knitr::opts_chunk$set(echo = TRUE, warning = FALSE, cache = FALSE, root.dir = here::here())&lt;/code&gt;&lt;/pre&gt;&#10;&lt;div id="引言" class="section level1"&gt;&#10;&lt;h1&gt;引言&lt;/h1&gt;&#10;&lt;p&gt;该回测系统采用三重技术指标组合策略，主要逻辑架构如下：&lt;/p&gt;&#10;&lt;div id="核心策略逻辑" class="section level2"&gt;&#10;&lt;h2&gt;核心策略逻辑&lt;/h2&gt;&#10;&lt;ul&gt;&#10;&lt;li&gt;&lt;p&gt;趋势判断层：通过EMA(12)与EMA(26)双均线组合识别中期趋势方向，当快线上穿慢线时判定为上升趋势。&lt;/p&gt;&lt;/li&gt;&#10;&lt;li&gt;&lt;p&gt;动量验证层：计算快线EMA(12)的ROC(9)指标，确保价格变动具备持续动能。&lt;/p&gt;&lt;/li&gt;&#10;&lt;li&gt;&lt;p&gt;趋势过滤层：引入SMA(200)作为长期趋势基准，要求价格必须位于年线上方才允许做多。&lt;/p&gt;&lt;/li&gt;&#10;&lt;/ul&gt;&#10;&lt;/div&gt;&#10;&lt;div id="信号生成机制" class="section level2"&gt;&#10;&lt;h2&gt;信号生成机制&lt;/h2&gt;&#10;&lt;p&gt;多头信号触发条件（同时满足）：&lt;/p&gt;&#10;&lt;ul&gt;&#10;&lt;li&gt;EMA(12) &amp;gt; EMA(26)（双均线金叉）&lt;/li&gt;&#10;&lt;li&gt;ROC(9) &amp;gt; 0（正向动量确认）&lt;/li&gt;&#10;&lt;li&gt;收盘价 &amp;gt; SMA(200)（处于长期上升趋势）&lt;/li&gt;&#10;&lt;/ul&gt;&#10;&lt;p&gt;空头信号触发条件（同时满足）：&lt;/p&gt;&#10;&lt;ul&gt;&#10;&lt;li&gt;EMA(12) &amp;lt; EMA(26)（双均线死叉）&lt;/li&gt;&#10;&lt;li&gt;ROC(9) &amp;lt; 0（负向动量确认）&lt;/li&gt;&#10;&lt;li&gt;收盘价 &amp;lt; SMA(200)（处于长期下降趋势）&lt;/li&gt;&#10;&lt;/ul&gt;&#10;&lt;/div&gt;&#10;&lt;div id="风险控制设计" class="section level2"&gt;&#10;&lt;h2&gt;风险控制设计&lt;/h2&gt;&#10;&lt;ul&gt;&#10;&lt;li&gt;采用固定100股交易量简化头寸管理。&lt;/li&gt;&#10;&lt;li&gt;通过quantstrat的ruleSignal机制实现市价单即时成交。&lt;/li&gt;&#10;&lt;li&gt;绩效分析模块自动计算夏普比率、最大回撤等关键指标57&lt;/li&gt;&#10;&lt;/ul&gt;&#10;&lt;p&gt;该策略通过多指标协同验证，既保留EMA对趋势的敏感度，又利用SMA过滤假突破信号，同时ROC指标确保入场时点具备足够动能。回测框架严格遵循事件驱动原则，模拟真实交易中的订单撮合流程&lt;/p&gt;&#10;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;div id="r代码实现" class="section level1"&gt;&#10;&lt;h1&gt;R代码实现&lt;/h1&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;# 加载必要的包&#10;library(quantstrat)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: quantmod&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: xts&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: zoo&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## &#10;## Attaching package: &amp;#39;zoo&amp;#39;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## The following objects are masked from &amp;#39;package:base&amp;#39;:&#10;## &#10;## as.Date, as.Date.numeric&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: TTR&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Registered S3 method overwritten by &amp;#39;quantmod&amp;#39;:&#10;## method from&#10;## as.zoo.data.frame zoo&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: blotter&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: FinancialInstrument&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: PerformanceAnalytics&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## &#10;## Attaching package: &amp;#39;PerformanceAnalytics&amp;#39;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## The following object is masked from &amp;#39;package:graphics&amp;#39;:&#10;## &#10;## legend&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Loading required package: foreach&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;library(TTR)&#10;library(PerformanceAnalytics)&#10;library(xts)&#10;library(quantmod)&#10;# 设置环境选项&#10;options(width = 240)&#10;Sys.setenv(TZ = &amp;quot;GMT&amp;quot;)&#10;&#10;# 清理旧的策略对象&#10;if (exists(&amp;quot;.strategy&amp;quot;, envir = globalenv())) {&#10; strategy_env &amp;lt;- get(&amp;quot;.strategy&amp;quot;, envir = globalenv())&#10; strategy_objects &amp;lt;- ls(strategy_env)&#10; for (obj in strategy_objects) {&#10; rm(list = obj, envir = strategy_env)&#10; }&#10;}&#10;&#10;# 清理投资组合相关对象&#10;if (exists(&amp;quot;.blotter&amp;quot;, envir = globalenv())) {&#10; blotter_env &amp;lt;- get(&amp;quot;.blotter&amp;quot;, envir = globalenv())&#10; blotter_objects &amp;lt;- ls(blotter_env)&#10; for (obj in blotter_objects) {&#10; rm(list = obj, envir = blotter_env)&#10; }&#10;}&#10;&#10;&#10;# 1. 初始化环境&#10;currency(&amp;quot;USD&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;USD&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;stock(&amp;quot;AAPL&amp;quot;, currency=&amp;quot;USD&amp;quot;, multiplier=1)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;AAPL&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;initDate &amp;lt;- &amp;quot;2010-01-01&amp;quot;&#10;endDate &amp;lt;- &amp;quot;2025-05-25&amp;quot;&#10;initEq &amp;lt;- 100000&#10;&#10;# 2. 优化后的策略函数&#10;rocEmaStrategy &amp;lt;- function(priceData, &#10; fastEMA = 12, &#10; slowEMA = 26, &#10; rocPeriod = 9,&#10; smaFilter = 200) {&#10; # 计算三重技术指标&#10; fastMA &amp;lt;- EMA(Cl(priceData), fastEMA)&#10; slowMA &amp;lt;- EMA(Cl(priceData), slowEMA)&#10; roc &amp;lt;- ROC(fastMA, rocPeriod)&#10; trendFilter &amp;lt;- SMA(Cl(priceData), smaFilter) # 新增SMA趋势过滤器&#10; &#10; # 生成交易信号&#10; signal &amp;lt;- ifelse(&#10; fastMA &amp;gt; slowMA &amp;amp; roc &amp;gt; 0 &amp;amp; Cl(priceData) &amp;gt; trendFilter, 1,&#10; ifelse(&#10; fastMA &amp;lt; slowMA &amp;amp; roc &amp;lt; 0 &amp;amp; Cl(priceData) &amp;lt; trendFilter, -1, &#10; 0&#10; )&#10; )&#10; xts(na.locf(signal), order.by=index(priceData))&#10;}&#10;&#10;# 3. 回测配置&#10;strategy.st &amp;lt;- &amp;quot;enhanced_roc_ema&amp;quot;&#10;portfolio.st &amp;lt;- &amp;quot;quant&amp;quot;&#10;account.st &amp;lt;- &amp;quot;quant&amp;quot;&#10;&#10;# 清除旧策略&#10;suppressWarnings(rm.strat(strategy.st))&#10;&#10;# 初始化组合&#10;initPortf(portfolio.st, &amp;quot;AAPL&amp;quot;, initDate=initDate)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;quant&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;initAcct(account.st, portfolios=portfolio.st, &#10; initDate=initDate, initEq=initEq)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;quant&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;initOrders(portfolio.st, initDate=initDate)&#10;strategy(strategy.st, store=TRUE)&#10;&#10;# 4. 添加策略组件&#10;add.indicator(strategy.st, name=&amp;quot;rocEmaStrategy&amp;quot;,&#10; arguments=list(priceData=quote(mktdata),&#10; fastEMA=12, slowEMA=26,&#10; rocPeriod=9, smaFilter=200),&#10; label=&amp;quot;signal&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;enhanced_roc_ema&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;# 交易信号规则&#10;add.signal(strategy.st, name=&amp;quot;sigThreshold&amp;quot;,&#10; arguments=list(column=&amp;quot;signal&amp;quot;,&#10; threshold=0.5, &#10; relationship=&amp;quot;gt&amp;quot;),&#10; label=&amp;quot;longEntry&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;enhanced_roc_ema&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;add.signal(strategy.st, name=&amp;quot;sigThreshold&amp;quot;,&#10; arguments=list(column=&amp;quot;signal&amp;quot;,&#10; threshold=-0.5,&#10; relationship=&amp;quot;lt&amp;quot;),&#10; label=&amp;quot;shortEntry&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;enhanced_roc_ema&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;# 交易执行规则&#10;add.rule(strategy.st, name=&amp;quot;ruleSignal&amp;quot;,&#10; arguments=list(sigcol=&amp;quot;longEntry&amp;quot;, sigval=TRUE,&#10; orderqty=100, ordertype=&amp;quot;market&amp;quot;,&#10; orderside=&amp;quot;long&amp;quot;, replace=FALSE,&#10; prefer=&amp;quot;Open&amp;quot;),&#10; type=&amp;quot;enter&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;enhanced_roc_ema&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;add.rule(strategy.st, name=&amp;quot;ruleSignal&amp;quot;,&#10; arguments=list(sigcol=&amp;quot;shortEntry&amp;quot;, sigval=TRUE,&#10; orderqty=-100, ordertype=&amp;quot;market&amp;quot;,&#10; orderside=&amp;quot;short&amp;quot;, replace=FALSE,&#10; prefer=&amp;quot;Open&amp;quot;),&#10; type=&amp;quot;enter&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;enhanced_roc_ema&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;# 5. 执行回测&#10;getSymbols(&amp;quot;AAPL&amp;quot;, from=initDate, to=endDate, adjust=TRUE)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;AAPL&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;applyStrategy(strategy.st, portfolio.st)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;2010-10-19 00:00:00 AAPL 100 @ 0.0634460587102121&amp;quot;&#10;## [1] &amp;quot;2010-10-20 00:00:00 AAPL 100 @ 0.0646171120660189&amp;quot;&#10;## [1] &amp;quot;2010-10-21 00:00:00 AAPL 100 @ 0.065319744079503&amp;quot;&#10;## [1] &amp;quot;2010-10-22 00:00:00 AAPL 100 @ 0.0646317477899565&amp;quot;&#10;## [1] &amp;quot;2010-10-25 00:00:00 AAPL 100 @ 0.0646359358071077&amp;quot;&#10;## [1] &amp;quot;2010-10-26 00:00:00 AAPL 100 @ 0.0641716968979132&amp;quot;&#10;## [1] &amp;quot;2010-10-27 00:00:00 AAPL 100 @ 0.0643348062058937&amp;quot;&#10;## [1] &amp;quot;2010-10-28 00:00:00 AAPL 100 @ 0.0643975371187952&amp;quot;&#10;## [1] &amp;quot;2010-10-29 00:00:00 AAPL 100 @ 0.0636196268930247&amp;quot;&#10;## [1] &amp;quot;2010-11-01 00:00:00 AAPL 100 @ 0.0631993007396659&amp;quot;&#10;## [1] &amp;quot;2010-11-02 00:00:00 AAPL 100 @ 0.0641988799212357&amp;quot;&#10;## [1] &amp;quot;2010-11-03 00:00:00 AAPL 100 @ 0.0651127164316641&amp;quot;&#10;## [1] &amp;quot;2010-11-04 00:00:00 AAPL 100 @ 0.0659659160377667&amp;quot;&#10;## [1] &amp;quot;2010-11-05 00:00:00 AAPL 100 @ 0.0664970738770137&amp;quot;&#10;## [1] &amp;quot;2010-11-08 00:00:00 AAPL 100 @ 0.0663318705604577&amp;quot;&#10;## [1] &amp;quot;2010-11-09 00:00:00 AAPL 100 @ 0.0671369693935735&amp;quot;&#10;## [1] &amp;quot;2010-11-10 00:00:00 AAPL 100 @ 0.0662147624328656&amp;quot;&#10;## [1] &amp;quot;2010-11-11 00:00:00 AAPL 100 @ 0.0658718140843916&amp;quot;&#10;## [1] &amp;quot;2010-11-12 00:00:00 AAPL 100 @ 0.0660809301567832&amp;quot;&#10;## [1] &amp;quot;2010-11-15 00:00:00 AAPL 100 @ 0.064504191955578&amp;quot;&#10;## [1] &amp;quot;2010-11-16 00:00:00 AAPL 100 @ 0.063931209785048&amp;quot;&#10;## [1] &amp;quot;2010-11-17 00:00:00 AAPL 100 @ 0.062986002234146&amp;quot;&#10;## [1] &amp;quot;2010-11-18 00:00:00 AAPL 100 @ 0.0638224665237125&amp;quot;&#10;## [1] &amp;quot;2010-12-01 00:00:00 AAPL 100 @ 0.0659282741396121&amp;quot;&#10;## [1] &amp;quot;2010-12-02 00:00:00 AAPL 100 @ 0.0664008779150631&amp;quot;&#10;## [1] &amp;quot;2010-12-03 00:00:00 AAPL 100 @ 0.0662921402377504&amp;quot;&#10;## [1] &amp;quot;2010-12-06 00:00:00 AAPL 100 @ 0.0666330001616717&amp;quot;&#10;## [1] &amp;quot;2010-12-07 00:00:00 AAPL 100 @ 0.0677120455726791&amp;quot;&#10;## [1] &amp;quot;2010-12-08 00:00:00 AAPL 100 @ 0.0668400222254878&amp;quot;&#10;## [1] &amp;quot;2010-12-09 00:00:00 AAPL 100 @ 0.0673628207825012&amp;quot;&#10;## [1] &amp;quot;2010-12-10 00:00:00 AAPL 100 @ 0.0668442046586161&amp;quot;&#10;## [1] &amp;quot;2010-12-13 00:00:00 AAPL 100 @ 0.0678312421248239&amp;quot;&#10;## [1] &amp;quot;2010-12-14 00:00:00 AAPL 100 @ 0.0672791721199354&amp;quot;&#10;## [1] &amp;quot;2010-12-15 00:00:00 AAPL 100 @ 0.0669173944463497&amp;quot;&#10;## [1] &amp;quot;2010-12-16 00:00:00 AAPL 100 @ 0.0671453342598301&amp;quot;&#10;## [1] &amp;quot;2010-12-17 00:00:00 AAPL 100 @ 0.0672582599542939&amp;quot;&#10;## [1] &amp;quot;2010-12-20 00:00:00 AAPL 100 @ 0.06725198351259&amp;quot;&#10;## [1] &amp;quot;2010-12-21 00:00:00 AAPL 100 @ 0.0675447482475475&amp;quot;&#10;## [1] &amp;quot;2010-12-22 00:00:00 AAPL 100 @ 0.0678291481162483&amp;quot;&#10;## [1] &amp;quot;2010-12-23 00:00:00 AAPL 100 @ 0.0679629859763536&amp;quot;&#10;## [1] &amp;quot;2010-12-27 00:00:00 AAPL 100 @ 0.0675133827910967&amp;quot;&#10;## [1] &amp;quot;2010-12-28 00:00:00 AAPL 100 @ 0.0681532783076565&amp;quot;&#10;## [1] &amp;quot;2010-12-29 00:00:00 AAPL 100 @ 0.0682181032291335&amp;quot;&#10;## [1] &amp;quot;2010-12-30 00:00:00 AAPL 100 @ 0.0680633587874097&amp;quot;&#10;## [1] &amp;quot;2010-12-31 00:00:00 AAPL 100 @ 0.0675342949567382&amp;quot;&#10;## [1] &amp;quot;2011-01-03 00:00:00 AAPL 100 @ 0.068096818252436&amp;quot;&#10;## [1] &amp;quot;2011-01-04 00:00:00 AAPL 100 @ 0.0695188120119174&amp;quot;&#10;## [1] &amp;quot;2011-01-05 00:00:00 AAPL 100 @ 0.0689144643849366&amp;quot;&#10;## [1] &amp;quot;2011-01-06 00:00:00 AAPL 100 @ 0.0699955982204967&amp;quot;&#10;## [1] &amp;quot;2011-01-07 00:00:00 AAPL 100 @ 0.0698429422033255&amp;quot;&#10;## [1] &amp;quot;2011-01-10 00:00:00 AAPL 100 @ 0.0708550686842802&amp;quot;&#10;## [1] &amp;quot;2011-01-11 00:00:00 AAPL 100 @ 0.072120229577485&amp;quot;&#10;## [1] &amp;quot;2011-01-12 00:00:00 AAPL 100 @ 0.0717793696535637&amp;quot;&#10;## [1] &amp;quot;2011-01-13 00:00:00 AAPL 100 @ 0.0721787780572582&amp;quot;&#10;## [1] &amp;quot;2011-01-14 00:00:00 AAPL 100 @ 0.0723314340744293&amp;quot;&#10;## [1] &amp;quot;2011-01-18 00:00:00 AAPL 100 @ 0.0689081879432328&amp;quot;&#10;## [1] &amp;quot;2011-01-19 00:00:00 AAPL 100 @ 0.0728458565971404&amp;quot;&#10;## [1] &amp;quot;2011-01-20 00:00:00 AAPL 100 @ 0.0703531878769312&amp;quot;&#10;## [1] &amp;quot;2011-01-21 00:00:00 AAPL 100 @ 0.0697969354389143&amp;quot;&#10;## [1] &amp;quot;2011-01-24 00:00:00 AAPL 100 @ 0.0683540350978144&amp;quot;&#10;## [1] &amp;quot;2011-01-25 00:00:00 AAPL 100 @ 0.0703322812953126&amp;quot;&#10;## [1] &amp;quot;2011-01-26 00:00:00 AAPL 100 @ 0.071718721581192&amp;quot;&#10;## [1] &amp;quot;2011-01-27 00:00:00 AAPL 100 @ 0.071890195755429&amp;quot;&#10;## [1] &amp;quot;2011-01-28 00:00:00 AAPL 100 @ 0.0719717559934421&amp;quot;&#10;## [1] &amp;quot;2011-01-31 00:00:00 AAPL 100 @ 0.0702214440254014&amp;quot;&#10;## [1] &amp;quot;2011-02-01 00:00:00 AAPL 100 @ 0.0713715907995897&amp;quot;&#10;## [1] &amp;quot;2011-02-02 00:00:00 AAPL 100 @ 0.0720303100572382&amp;quot;&#10;## [1] &amp;quot;2011-02-03 00:00:00 AAPL 100 @ 0.0718943781885573&amp;quot;&#10;## [1] &amp;quot;2011-02-04 00:00:00 AAPL 100 @ 0.071860918723531&amp;quot;&#10;## [1] &amp;quot;2011-02-07 00:00:00 AAPL 100 @ 0.0727496662192126&amp;quot;&#10;## [1] &amp;quot;2011-02-08 00:00:00 AAPL 100 @ 0.0739604554817496&amp;quot;&#10;## [1] &amp;quot;2011-02-09 00:00:00 AAPL 100 @ 0.0742762208069012&amp;quot;&#10;## [1] &amp;quot;2011-02-10 00:00:00 AAPL 100 @ 0.0747362828669902&amp;quot;&#10;## [1] &amp;quot;2011-02-11 00:00:00 AAPL 100 @ 0.0741842128621017&amp;quot;&#10;## [1] &amp;quot;2011-02-14 00:00:00 AAPL 100 @ 0.0746108098731415&amp;quot;&#10;## [1] &amp;quot;2011-02-15 00:00:00 AAPL 100 @ 0.0751126850964677&amp;quot;&#10;## [1] &amp;quot;2011-02-16 00:00:00 AAPL 100 @ 0.0754493625872607&amp;quot;&#10;## [1] &amp;quot;2011-02-17 00:00:00 AAPL 100 @ 0.0747070058350922&amp;quot;&#10;## [1] &amp;quot;2011-02-18 00:00:00 AAPL 100 @ 0.0750123122854116&amp;quot;&#10;## [1] &amp;quot;2011-02-22 00:00:00 AAPL 100 @ 0.0715493358315077&amp;quot;&#10;## [1] &amp;quot;2011-02-23 00:00:00 AAPL 100 @ 0.0708425269689182&amp;quot;&#10;## [1] &amp;quot;2011-02-24 00:00:00 AAPL 100 @ 0.0719403905369914&amp;quot;&#10;## [1] &amp;quot;2011-02-25 00:00:00 AAPL 100 @ 0.0721996902228996&amp;quot;&#10;## [1] &amp;quot;2011-03-08 00:00:00 AAPL 100 @ 0.0742176667431051&amp;quot;&#10;## [1] &amp;quot;2011-03-09 00:00:00 AAPL 100 @ 0.0741716599786939&amp;quot;&#10;## [1] &amp;quot;2011-03-10 00:00:00 AAPL 100 @ 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[1] &amp;quot;2013-01-22 00:00:00 AAPL -100 @ 0.137344518449722&amp;quot;&#10;## [1] &amp;quot;2013-01-23 00:00:00 AAPL -100 @ 0.138501389872381&amp;quot;&#10;## [1] &amp;quot;2013-01-25 00:00:00 AAPL -100 @ 0.122952961775893&amp;quot;&#10;## [1] &amp;quot;2013-01-28 00:00:00 AAPL -100 @ 0.119180180466918&amp;quot;&#10;## [1] &amp;quot;2013-01-29 00:00:00 AAPL -100 @ 0.124806683267604&amp;quot;&#10;## [1] &amp;quot;2013-01-30 00:00:00 AAPL -100 @ 0.124398371430961&amp;quot;&#10;## [1] &amp;quot;2013-01-31 00:00:00 AAPL -100 @ 0.124392934444921&amp;quot;&#10;## [1] &amp;quot;2013-02-01 00:00:00 AAPL -100 @ 0.124972729402761&amp;quot;&#10;## [1] &amp;quot;2013-02-04 00:00:00 AAPL -100 @ 0.123557252245704&amp;quot;&#10;## [1] &amp;quot;2013-02-05 00:00:00 AAPL -100 @ 0.120873300078211&amp;quot;&#10;## [1] &amp;quot;2013-02-06 00:00:00 AAPL -100 @ 0.124254102314757&amp;quot;&#10;## [1] &amp;quot;2013-02-07 00:00:00 AAPL -100 @ 0.150519900384727&amp;quot;&#10;## [1] &amp;quot;2013-02-12 00:00:00 AAPL 100 @ 0.155803115123383&amp;quot;&#10;## [1] &amp;quot;2013-02-13 00:00:00 AAPL 100 @ 0.151806584359543&amp;quot;&#10;## [1] &amp;quot;2013-02-14 00:00:00 AAPL 100 @ 0.15093254714896&amp;quot;&#10;## [1] &amp;quot;2013-02-15 00:00:00 AAPL 100 @ 0.152339450500674&amp;quot;&#10;## [1] &amp;quot;2013-02-19 00:00:00 AAPL 100 @ 0.149821316136009&amp;quot;&#10;## [1] &amp;quot;2013-02-20 00:00:00 AAPL 100 @ 0.148713330074484&amp;quot;&#10;## [1] &amp;quot;2013-02-21 00:00:00 AAPL 100 @ 0.144914992961514&amp;quot;&#10;## [1] &amp;quot;2013-02-22 00:00:00 AAPL 100 @ 0.145970999065838&amp;quot;&#10;## [1] &amp;quot;2013-02-25 00:00:00 AAPL 100 @ 0.147465637574825&amp;quot;&#10;## [1] &amp;quot;2013-02-26 00:00:00 AAPL 100 @ 0.144206665182178&amp;quot;&#10;## [1] &amp;quot;2013-02-27 00:00:00 AAPL 100 @ 0.145704548642591&amp;quot;&#10;## [1] &amp;quot;2013-02-28 00:00:00 AAPL 100 @ 0.144281403181066&amp;quot;&#10;## [1] &amp;quot;2013-03-01 00:00:00 AAPL 100 @ 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[1] &amp;quot;2013-04-08 00:00:00 AAPL -100 @ 0.138042905977405&amp;quot;&#10;## [1] &amp;quot;2013-04-09 00:00:00 AAPL -100 @ 0.138533544368293&amp;quot;&#10;## [1] &amp;quot;2013-04-10 00:00:00 AAPL -100 @ 0.139098903405387&amp;quot;&#10;## [1] &amp;quot;2013-04-11 00:00:00 AAPL -100 @ 0.140924960776868&amp;quot;&#10;## [1] &amp;quot;2013-04-12 00:00:00 AAPL -100 @ 0.141064675891343&amp;quot;&#10;## [1] &amp;quot;2013-04-15 00:00:00 AAPL -100 @ 0.138741490226122&amp;quot;&#10;## [1] &amp;quot;2013-04-16 00:00:00 AAPL -100 @ 0.136977165018804&amp;quot;&#10;## [1] &amp;quot;2013-04-17 00:00:00 AAPL -100 @ 0.136554766047611&amp;quot;&#10;## [1] &amp;quot;2013-04-18 00:00:00 AAPL -100 @ 0.131589973013062&amp;quot;&#10;## [1] &amp;quot;2013-04-19 00:00:00 AAPL -100 @ 0.126059803588737&amp;quot;&#10;## [1] &amp;quot;2013-04-22 00:00:00 AAPL -100 @ 0.127577182786729&amp;quot;&#10;## [1] &amp;quot;2013-04-23 00:00:00 AAPL -100 @ 0.131265044053421&amp;quot;&#10;## [1] &amp;quot;2013-04-24 00:00:00 AAPL -100 @ 0.127869618850406&amp;quot;&#10;## [1] &amp;quot;2013-04-25 00:00:00 AAPL -100 @ 0.133617477663179&amp;quot;&#10;## [1] &amp;quot;2013-04-26 00:00:00 AAPL -100 @ 0.133156087216829&amp;quot;&#10;## [1] &amp;quot;2013-04-29 00:00:00 AAPL -100 @ 0.136613253260346&amp;quot;&#10;## [1] &amp;quot;2013-04-30 00:00:00 AAPL -100 @ 0.141373354064832&amp;quot;&#10;## [1] &amp;quot;2013-05-01 00:00:00 AAPL -100 @ 0.144414619716348&amp;quot;&#10;## [1] &amp;quot;2013-05-03 00:00:00 AAPL 100 @ 0.146640326693676&amp;quot;&#10;## [1] &amp;quot;2013-05-06 00:00:00 AAPL 100 @ 0.148069979410735&amp;quot;&#10;## [1] &amp;quot;2013-05-07 00:00:00 AAPL 100 @ 0.151078760842628&amp;quot;&#10;## [1] &amp;quot;2013-05-08 00:00:00 AAPL 100 @ 0.149151971155489&amp;quot;&#10;## [1] &amp;quot;2013-05-09 00:00:00 AAPL 100 @ 0.18311690303342&amp;quot;&#10;## [1] &amp;quot;2013-05-10 00:00:00 AAPL 100 @ 0.182384137236034&amp;quot;&#10;## [1] &amp;quot;2013-05-13 00:00:00 AAPL 100 @ 0.179811470599819&amp;quot;&#10;## [1] &amp;quot;2013-05-14 00:00:00 AAPL 100 @ 0.18074337395158&amp;quot;&#10;## [1] &amp;quot;2013-05-15 00:00:00 AAPL 100 @ 0.174893157967717&amp;quot;&#10;## [1] &amp;quot;2013-05-16 00:00:00 AAPL 100 @ 0.168553095077562&amp;quot;&#10;## [1] &amp;quot;2013-05-17 00:00:00 AAPL 100 @ 0.174849344728156&amp;quot;&#10;## [1] &amp;quot;2013-05-20 00:00:00 AAPL 100 @ 0.172005876114893&amp;quot;&#10;## [1] &amp;quot;2013-05-21 00:00:00 AAPL 100 @ 0.174490926906267&amp;quot;&#10;## [1] &amp;quot;2013-05-22 00:00:00 AAPL 100 @ 0.176840571391976&amp;quot;&#10;## [1] &amp;quot;2013-05-23 00:00:00 AAPL 100 @ 0.173614789726413&amp;quot;&#10;## [1] &amp;quot;2013-05-24 00:00:00 AAPL 100 @ 0.175566191006215&amp;quot;&#10;## [1] &amp;quot;2013-05-28 00:00:00 AAPL 100 @ 0.179170308502817&amp;quot;&#10;## [1] &amp;quot;2013-05-29 00:00:00 AAPL 100 @ 0.175227680559195&amp;quot;&#10;## [1] &amp;quot;2013-05-30 00:00:00 AAPL 100 @ 0.177477756267716&amp;quot;&#10;## [1] 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187.035303814948&amp;quot;&#10;## [1] &amp;quot;2024-05-16 00:00:00 AAPL 100 @ 189.583384873997&amp;quot;&#10;## [1] &amp;quot;2024-05-17 00:00:00 AAPL 100 @ 188.627846882973&amp;quot;&#10;## [1] &amp;quot;2024-05-20 00:00:00 AAPL 100 @ 188.448692052772&amp;quot;&#10;## [1] &amp;quot;2024-05-21 00:00:00 AAPL 100 @ 190.200493983927&amp;quot;&#10;## [1] &amp;quot;2024-05-22 00:00:00 AAPL 100 @ 191.375009114815&amp;quot;&#10;## [1] &amp;quot;2024-05-23 00:00:00 AAPL 100 @ 190.091005413995&amp;quot;&#10;## [1] &amp;quot;2024-05-24 00:00:00 AAPL 100 @ 187.941071512774&amp;quot;&#10;## [1] &amp;quot;2024-05-28 00:00:00 AAPL 100 @ 190.618537108825&amp;quot;&#10;## [1] &amp;quot;2024-05-29 00:00:00 AAPL 100 @ 188.72738746937&amp;quot;&#10;## [1] &amp;quot;2024-05-30 00:00:00 AAPL 100 @ 189.87202827413&amp;quot;&#10;## [1] &amp;quot;2024-05-31 00:00:00 AAPL 100 @ 190.548870848556&amp;quot;&#10;## [1] &amp;quot;2024-06-03 00:00:00 AAPL 100 @ 192.002066208281&amp;quot;&#10;## [1] &amp;quot;2024-06-04 00:00:00 AAPL 100 @ 193.733972172366&amp;quot;&#10;## [1] &amp;quot;2024-06-05 00:00:00 AAPL 100 @ 194.490428990596&amp;quot;&#10;## [1] &amp;quot;2024-06-06 00:00:00 AAPL 100 @ 194.77908757849&amp;quot;&#10;## [1] &amp;quot;2024-06-07 00:00:00 AAPL 100 @ 193.743920155901&amp;quot;&#10;## [1] &amp;quot;2024-06-10 00:00:00 AAPL 100 @ 195.983446659984&amp;quot;&#10;## [1] &amp;quot;2024-06-11 00:00:00 AAPL 100 @ 192.748575042975&amp;quot;&#10;## [1] &amp;quot;2024-06-12 00:00:00 AAPL 100 @ 206.404711207338&amp;quot;&#10;## [1] &amp;quot;2024-06-13 00:00:00 AAPL 100 @ 213.740415017279&amp;quot;&#10;## [1] &amp;quot;2024-06-14 00:00:00 AAPL 100 @ 212.854558474285&amp;quot;&#10;## [1] &amp;quot;2024-06-17 00:00:00 AAPL 100 @ 212.376781884893&amp;quot;&#10;## [1] &amp;quot;2024-06-18 00:00:00 AAPL 100 @ 216.577139476461&amp;quot;&#10;## [1] &amp;quot;2024-06-20 00:00:00 AAPL 100 @ 212.93417271809&amp;quot;&#10;## [1] &amp;quot;2024-06-21 00:00:00 AAPL 100 @ 209.410657700947&amp;quot;&#10;## [1] &amp;quot;2024-06-24 00:00:00 AAPL 100 @ 206.753088071967&amp;quot;&#10;## [1] &amp;quot;2024-06-25 00:00:00 AAPL 100 @ 208.176424293325&amp;quot;&#10;## [1] &amp;quot;2024-06-26 00:00:00 AAPL 100 @ 210.515491383805&amp;quot;&#10;## [1] &amp;quot;2024-06-27 00:00:00 AAPL 100 @ 213.69064472408&amp;quot;&#10;## [1] &amp;quot;2024-06-28 00:00:00 AAPL 100 @ 214.765619268571&amp;quot;&#10;## [1] &amp;quot;2024-07-01 00:00:00 AAPL 100 @ 211.102741355369&amp;quot;&#10;## [1] &amp;quot;2024-07-02 00:00:00 AAPL 100 @ 215.143840083806&amp;quot;&#10;## [1] &amp;quot;2024-07-03 00:00:00 AAPL 100 @ 218.975924843674&amp;quot;&#10;## [1] &amp;quot;2024-07-05 00:00:00 AAPL 100 @ 220.618238204898&amp;quot;&#10;## [1] &amp;quot;2024-07-08 00:00:00 AAPL 100 @ 226.032918049256&amp;quot;&#10;## [1] &amp;quot;2024-07-09 00:00:00 AAPL 100 @ 226.869004299051&amp;quot;&#10;## [1] &amp;quot;2024-07-10 00:00:00 AAPL 100 @ 228.232637431437&amp;quot;&#10;## [1] &amp;quot;2024-07-11 00:00:00 AAPL 100 @ 230.312905072389&amp;quot;&#10;## [1] &amp;quot;2024-07-12 00:00:00 AAPL 100 @ 227.854401428441&amp;quot;&#10;## [1] &amp;quot;2024-07-15 00:00:00 AAPL 100 @ 235.379208052118&amp;quot;&#10;## [1] &amp;quot;2024-07-16 00:00:00 AAPL 100 @ 233.906101537561&amp;quot;&#10;## [1] &amp;quot;2024-07-17 00:00:00 AAPL 100 @ 228.381933123271&amp;quot;&#10;## [1] &amp;quot;2024-07-18 00:00:00 AAPL 100 @ 229.208071389531&amp;quot;&#10;## [1] &amp;quot;2024-07-19 00:00:00 AAPL 100 @ 223.773495578102&amp;quot;&#10;## [1] &amp;quot;2024-07-22 00:00:00 AAPL 100 @ 225.95328861769&amp;quot;&#10;## [1] &amp;quot;2024-07-23 00:00:00 AAPL 100 @ 223.325578127077&amp;quot;&#10;## [1] &amp;quot;2024-07-24 00:00:00 AAPL 100 @ 222.957305295378&amp;quot;&#10;## [1] &amp;quot;2024-07-25 00:00:00 AAPL 100 @ 217.910898282719&amp;quot;&#10;## [1] &amp;quot;2024-07-26 00:00:00 AAPL 100 @ 217.681973159319&amp;quot;&#10;## [1] &amp;quot;2024-08-19 00:00:00 AAPL 100 @ 224.92934604934&amp;quot;&#10;## [1] &amp;quot;2024-08-20 00:00:00 AAPL 100 @ 224.97917394971&amp;quot;&#10;## [1] &amp;quot;2024-08-21 00:00:00 AAPL 100 @ 225.72654683924&amp;quot;&#10;## [1] &amp;quot;2024-08-22 00:00:00 AAPL 100 @ 226.992087317665&amp;quot;&#10;## [1] &amp;quot;2024-08-23 00:00:00 AAPL 100 @ 224.869558651032&amp;quot;&#10;## [1] &amp;quot;2024-08-26 00:00:00 AAPL 100 @ 225.965696432471&amp;quot;&#10;## [1] &amp;quot;2024-08-27 00:00:00 AAPL 100 @ 225.208364045004&amp;quot;&#10;## [1] &amp;quot;2024-08-28 00:00:00 AAPL 100 @ 227.121636817559&amp;quot;&#10;## [1] &amp;quot;2024-08-29 00:00:00 AAPL 100 @ 229.294008589903&amp;quot;&#10;## [1] &amp;quot;2024-08-30 00:00:00 AAPL 100 @ 229.383689687365&amp;quot;&#10;## [1] &amp;quot;2024-09-03 00:00:00 AAPL 100 @ 227.749434910473&amp;quot;&#10;## [1] &amp;quot;2024-09-04 00:00:00 AAPL 100 @ 220.883569906873&amp;quot;&#10;## [1] &amp;quot;2024-09-05 00:00:00 AAPL 100 @ 220.853676207719&amp;quot;&#10;## [1] &amp;quot;2024-09-06 00:00:00 AAPL 100 @ 223.165541772554&amp;quot;&#10;## [1] &amp;quot;2024-09-09 00:00:00 AAPL 100 @ 220.046515919881&amp;quot;&#10;## [1] &amp;quot;2024-09-24 00:00:00 AAPL 100 @ 227.849075505873&amp;quot;&#10;## [1] &amp;quot;2024-09-25 00:00:00 AAPL 100 @ 224.142104757378&amp;quot;&#10;## [1] &amp;quot;2024-09-26 00:00:00 AAPL 100 @ 226.503813427924&amp;quot;&#10;## [1] &amp;quot;2024-09-27 00:00:00 AAPL 100 @ 227.659753813012&amp;quot;&#10;## [1] &amp;quot;2024-09-30 00:00:00 AAPL 100 @ 229.234205986255&amp;quot;&#10;## [1] &amp;quot;2024-10-01 00:00:00 AAPL 100 @ 228.716038397359&amp;quot;&#10;## [1] &amp;quot;2024-10-02 00:00:00 AAPL 100 @ 225.098748746326&amp;quot;&#10;## [1] &amp;quot;2024-10-03 00:00:00 AAPL 100 @ 224.351375856796&amp;quot;&#10;## [1] &amp;quot;2024-10-04 00:00:00 AAPL 100 @ 227.101702616343&amp;quot;&#10;## [1] &amp;quot;2024-10-07 00:00:00 AAPL 100 @ 223.713618265944&amp;quot;&#10;## [1] &amp;quot;2024-10-08 00:00:00 AAPL 100 @ 223.514321869804&amp;quot;&#10;## [1] &amp;quot;2024-10-09 00:00:00 AAPL 100 @ 224.441056954258&amp;quot;&#10;## [1] &amp;quot;2024-10-10 00:00:00 AAPL 100 @ 226.982127819727&amp;quot;&#10;## [1] &amp;quot;2024-10-11 00:00:00 AAPL 100 @ 228.496807800003&amp;quot;&#10;## [1] &amp;quot;2024-10-14 00:00:00 AAPL 100 @ 227.898903406243&amp;quot;&#10;## [1] &amp;quot;2024-10-15 00:00:00 AAPL 100 @ 232.791708238981&amp;quot;&#10;## [1] &amp;quot;2024-10-16 00:00:00 AAPL 100 @ 230.788754368963&amp;quot;&#10;## [1] &amp;quot;2024-10-17 00:00:00 AAPL 100 @ 232.612330838716&amp;quot;&#10;## [1] &amp;quot;2024-10-18 00:00:00 AAPL 100 @ 235.352698100326&amp;quot;&#10;## [1] &amp;quot;2024-10-21 00:00:00 AAPL 100 @ 233.628762225972&amp;quot;&#10;## [1] &amp;quot;2024-10-22 00:00:00 AAPL 100 @ 233.070726234644&amp;quot;&#10;## [1] &amp;quot;2024-10-23 00:00:00 AAPL 100 @ 233.260063132847&amp;quot;&#10;## [1] &amp;quot;2024-10-24 00:00:00 AAPL 100 @ 229.174418587947&amp;quot;&#10;## [1] &amp;quot;2024-10-25 00:00:00 AAPL 100 @ 228.935268994715&amp;quot;&#10;## [1] &amp;quot;2024-10-28 00:00:00 AAPL 100 @ 232.502730745379&amp;quot;&#10;## [1] &amp;quot;2024-10-29 00:00:00 AAPL 100 @ 232.283500148023&amp;quot;&#10;## [1] &amp;quot;2024-10-30 00:00:00 AAPL 100 @ 231.795211052941&amp;quot;&#10;## [1] &amp;quot;2024-10-31 00:00:00 AAPL 100 @ 228.536660997095&amp;quot;&#10;## [1] &amp;quot;2024-11-01 00:00:00 AAPL 100 @ 220.195984415651&amp;quot;&#10;## [1] &amp;quot;2024-11-25 00:00:00 AAPL 100 @ 230.903007253043&amp;quot;&#10;## [1] &amp;quot;2024-11-26 00:00:00 AAPL 100 @ 232.76850230006&amp;quot;&#10;## [1] &amp;quot;2024-11-27 00:00:00 AAPL 100 @ 233.905758325728&amp;quot;&#10;## [1] &amp;quot;2024-11-29 00:00:00 AAPL 100 @ 234.244936475718&amp;quot;&#10;## [1] &amp;quot;2024-12-02 00:00:00 AAPL 100 @ 236.699023279564&amp;quot;&#10;## [1] &amp;quot;2024-12-03 00:00:00 AAPL 100 @ 239.232904171115&amp;quot;&#10;## [1] &amp;quot;2024-12-04 00:00:00 AAPL 100 @ 242.285537965167&amp;quot;&#10;## [1] &amp;quot;2024-12-05 00:00:00 AAPL 100 @ 243.402853079944&amp;quot;&#10;## [1] &amp;quot;2024-12-06 00:00:00 AAPL 100 @ 242.32545023109&amp;quot;&#10;## [1] &amp;quot;2024-12-09 00:00:00 AAPL 100 @ 241.248047382235&amp;quot;&#10;## [1] &amp;quot;2024-12-10 00:00:00 AAPL 100 @ 246.295868254446&amp;quot;&#10;## [1] &amp;quot;2024-12-11 00:00:00 AAPL 100 @ 247.363300647855&amp;quot;&#10;## [1] &amp;quot;2024-12-12 00:00:00 AAPL 100 @ 246.295868254446&amp;quot;&#10;## [1] &amp;quot;2024-12-13 00:00:00 AAPL 100 @ 247.223638161266&amp;quot;&#10;## [1] &amp;quot;2024-12-16 00:00:00 AAPL 100 @ 247.393227236262&amp;quot;&#10;## [1] &amp;quot;2024-12-17 00:00:00 AAPL 100 @ 249.478194079641&amp;quot;&#10;## [1] &amp;quot;2024-12-18 00:00:00 AAPL 100 @ 251.553190467575&amp;quot;&#10;## [1] &amp;quot;2024-12-19 00:00:00 AAPL 100 @ 246.904400922168&amp;quot;&#10;## [1] &amp;quot;2024-12-20 00:00:00 AAPL 100 @ 247.44309473556&amp;quot;&#10;## [1] &amp;quot;2024-12-23 00:00:00 AAPL 100 @ 254.156910213455&amp;quot;&#10;## [1] &amp;quot;2024-12-24 00:00:00 AAPL 100 @ 254.875178779358&amp;quot;&#10;## [1] &amp;quot;2024-12-26 00:00:00 AAPL 100 @ 257.568678290458&amp;quot;&#10;## [1] &amp;quot;2024-12-27 00:00:00 AAPL 100 @ 257.209528785437&amp;quot;&#10;## [1] &amp;quot;2024-12-30 00:00:00 AAPL 100 @ 251.623014099834&amp;quot;&#10;## [1] &amp;quot;2024-12-31 00:00:00 AAPL 100 @ 251.832515440751&amp;quot;&#10;## [1] &amp;quot;2025-01-02 00:00:00 AAPL 100 @ 248.330952376458&amp;quot;&#10;## [1] &amp;quot;2025-01-03 00:00:00 AAPL 100 @ 242.774364279261&amp;quot;&#10;## [1] &amp;quot;2025-01-06 00:00:00 AAPL 100 @ 243.722075096973&amp;quot;&#10;## [1] &amp;quot;2025-01-07 00:00:00 AAPL 100 @ 242.395273863349&amp;quot;&#10;## [1] &amp;quot;2025-02-18 00:00:00 AAPL 100 @ 243.830248775831&amp;quot;&#10;## [1] &amp;quot;2025-02-19 00:00:00 AAPL 100 @ 244.33959061953&amp;quot;&#10;## [1] &amp;quot;2025-02-20 00:00:00 AAPL 100 @ 244.619222705214&amp;quot;&#10;## [1] &amp;quot;2025-02-21 00:00:00 AAPL 100 @ 245.627894497229&amp;quot;&#10;## [1] &amp;quot;2025-02-24 00:00:00 AAPL 100 @ 244.609226048635&amp;quot;&#10;## [1] &amp;quot;2025-02-25 00:00:00 AAPL 100 @ 247.675212812187&amp;quot;&#10;## [1] &amp;quot;2025-02-26 00:00:00 AAPL 100 @ 244.010020967373&amp;quot;&#10;## [1] &amp;quot;2025-02-27 00:00:00 AAPL 100 @ 239.096466154756&amp;quot;&#10;## [1] &amp;quot;2025-02-28 00:00:00 AAPL 100 @ 236.639681129044&amp;quot;&#10;## [1] &amp;quot;2025-03-03 00:00:00 AAPL 100 @ 241.473338883066&amp;quot;&#10;## [1] &amp;quot;2025-03-04 00:00:00 AAPL 100 @ 237.398695566304&amp;quot;&#10;## [1] &amp;quot;2025-03-05 00:00:00 AAPL 100 @ 235.111686075558&amp;quot;&#10;## [1] &amp;quot;2025-03-06 00:00:00 AAPL 100 @ 234.132973775665&amp;quot;&#10;## [1] &amp;quot;2025-03-12 00:00:00 AAPL -100 @ 219.851698376234&amp;quot;&#10;## [1] &amp;quot;2025-03-13 00:00:00 AAPL -100 @ 215.667183269948&amp;quot;&#10;## [1] &amp;quot;2025-03-14 00:00:00 AAPL -100 @ 210.973341558768&amp;quot;&#10;## [1] &amp;quot;2025-03-17 00:00:00 AAPL -100 @ 213.030641291499&amp;quot;&#10;## [1] &amp;quot;2025-03-18 00:00:00 AAPL -100 @ 213.879534205128&amp;quot;&#10;## [1] &amp;quot;2025-03-19 00:00:00 AAPL -100 @ 213.939453189374&amp;quot;&#10;## [1] &amp;quot;2025-03-20 00:00:00 AAPL -100 @ 213.709758670163&amp;quot;&#10;## [1] &amp;quot;2025-03-21 00:00:00 AAPL -100 @ 211.282933136575&amp;quot;&#10;## [1] &amp;quot;2025-03-24 00:00:00 AAPL -100 @ 220.710572707635&amp;quot;&#10;## [1] &amp;quot;2025-03-25 00:00:00 AAPL -100 @ 220.480878188424&amp;quot;&#10;## [1] &amp;quot;2025-03-26 00:00:00 AAPL -100 @ 223.217280061014&amp;quot;&#10;## [1] &amp;quot;2025-03-27 00:00:00 AAPL -100 @ 221.100061344037&amp;quot;&#10;## [1] &amp;quot;2025-03-28 00:00:00 AAPL -100 @ 221.379693429721&amp;quot;&#10;## [1] &amp;quot;2025-03-31 00:00:00 AAPL -100 @ 216.725792628436&amp;quot;&#10;## [1] &amp;quot;2025-04-01 00:00:00 AAPL -100 @ 219.522128724077&amp;quot;&#10;## [1] &amp;quot;2025-04-02 00:00:00 AAPL -100 @ 221.030160942019&amp;quot;&#10;## [1] &amp;quot;2025-04-04 00:00:00 AAPL -100 @ 193.636076052363&amp;quot;&#10;## [1] &amp;quot;2025-04-07 00:00:00 AAPL -100 @ 176.967931268044&amp;quot;&#10;## [1] &amp;quot;2025-04-08 00:00:00 AAPL -100 @ 186.455489823349&amp;quot;&#10;## [1] &amp;quot;2025-04-09 00:00:00 AAPL -100 @ 171.724806803269&amp;quot;&#10;## [1] &amp;quot;2025-04-10 00:00:00 AAPL -100 @ 188.822396372692&amp;quot;&#10;## [1] &amp;quot;2025-04-11 00:00:00 AAPL -100 @ 185.856284742087&amp;quot;&#10;## [1] &amp;quot;2025-04-14 00:00:00 AAPL -100 @ 211.163095168083&amp;quot;&#10;## [1] &amp;quot;2025-04-15 00:00:00 AAPL -100 @ 201.595639554182&amp;quot;&#10;## [1] &amp;quot;2025-04-16 00:00:00 AAPL -100 @ 198.100223244332&amp;quot;&#10;## [1] &amp;quot;2025-04-17 00:00:00 AAPL -100 @ 196.941738752897&amp;quot;&#10;## [1] &amp;quot;2025-04-21 00:00:00 AAPL -100 @ 193.01689289675&amp;quot;&#10;## [1] &amp;quot;2025-04-22 00:00:00 AAPL -100 @ 195.863151320059&amp;quot;&#10;## [1] &amp;quot;2025-04-23 00:00:00 AAPL -100 @ 205.730217093994&amp;quot;&#10;## [1] &amp;quot;2025-04-24 00:00:00 AAPL -100 @ 204.621670169033&amp;quot;&#10;## [1] &amp;quot;2025-05-12 00:00:00 AAPL -100 @ 210.970001220703&amp;quot;&#10;## [1] &amp;quot;2025-05-13 00:00:00 AAPL -100 @ 210.429992675781&amp;quot;&#10;## [1] &amp;quot;2025-05-14 00:00:00 AAPL -100 @ 212.429992675781&amp;quot;&#10;## [1] &amp;quot;2025-05-15 00:00:00 AAPL -100 @ 210.949996948242&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;updatePortf(portfolio.st)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;quant&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;updateAcct(account.st)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;quant&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;updateEndEq(account.st)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## [1] &amp;quot;quant&amp;quot;&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;# 6. 绩效分析&#10;equity &amp;lt;- getAccount(account.st)$summary$End.Eq&#10;returns &amp;lt;- Return.calculate(equity)&#10;charts.PerformanceSummary(returns, main=&amp;quot;策略资金曲线&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;p&gt;&lt;img src="https://gewutang.cn/2015/05/09/rate-of-change-ema-strategy-demonstrating-ternary-indicator-ordersets-to-handle-simultaneous-stop-loss-and-take-profit-orders/index_files/figure-html/unnamed-chunk-1-1.png" width="672" /&gt;&lt;/p&gt;&#10;&lt;pre class="r"&gt;&lt;code&gt;tradeStats(portfolio.st, &amp;quot;AAPL&amp;quot;)&lt;/code&gt;&lt;/pre&gt;&#10;&lt;pre&gt;&lt;code&gt;## Portfolio Symbol Num.Txns Num.Trades Net.Trading.PL Avg.Trade.PL Med.Trade.PL Largest.Winner Largest.Loser Gross.Profits Gross.Losses Std.Dev.Trade.PL Std.Err.Trade.PL Percent.Positive Percent.Negative Profit.Factor Avg.Win.Trade&#10;## AAPL quant AAPL 2499 421 24466225 5711.09 590.4887 16109.06 -0.3334734 2404370 -1.276461 5911.599 288.1137 98.57482 1.425178 1883622 5793.663&#10;## Med.Win.Trade Avg.Losing.Trade Med.Losing.Trade Avg.Daily.PL Med.Daily.PL Std.Dev.Daily.PL Std.Err.Daily.PL Ann.Sharpe Max.Drawdown Profit.To.Max.Draw Avg.WinLoss.Ratio Med.WinLoss.Ratio Max.Equity Min.Equity End.Equity&#10;## AAPL 595.2789 -0.2127435 -0.2211782 5711.09 590.4887 5911.599 288.1137 15.33608 -14471503 1.690648 27233.09 2691.4 35072536 -37.67239 24466225&lt;/code&gt;&lt;/pre&gt;&#10;&lt;/div&gt;&#10;</description></item></channel></rss>