Skip to content

Instantly share code, notes, and snippets.

Embed
What would you like to do?
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# システムトレードを始める前に知っておきたかったこと\n",
"<div style=\"text-align: right\"> What I wish I I knew when I started automatic Trading. </div>"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# システムトレードを始める上で、<br>まずすべきことは自動売買ソフトの作成ではない"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# システムトレードを始める上で始めに絶対にしてほしいこと"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## 自分で価格データを集めること\n",
"- 生データがないと自分がトレードした内容と、実際に検証したデータとの乖離の検証自体ができない。\n",
"- 他から入手したデータはお金を払ったとしても使えないデータであることが多い。\n",
"- 最近の相場であれば、1年間の生データがあるだけで十分使える。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# バックテスト\n",
"検証用のデータが入手できれば、次はバックテストと行う。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## バックテストで陥りやすいミス\n",
"- 未来の情報を参照してしまっている\n",
"- 始値、終値、高値、安値だけの検証を行ってしまうと、より利益が出やすくなる\n",
"- 再現性の取りにくい方法を取り入れてしまう(累積系の分析等)\n",
"- 約定価格がおかしい"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## 始値、終値、高値、安値だけのバックテストでハマるミス\n",
"- 買いポジションの指値を定めたとして、高値により決済したと判断したとき、指値から高値までの値幅を利益に含めてしまう\n",
"- バックテスト上で 始値 → 安値 → 高値 → 終値 というような形で価格を流した時、安値で買いエントリーして高値で決済するロジックができやすい。\n",
"- 2つの決済ロジックを導入していると、良い方の価格で決済されてしまう場合がある。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<img src=\"candle.png\"/>"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## 再現性の低いシステムを使ってしまう\n",
"- 累積系の分析等をシステムに組み込んでしまうと、システムを稼働した時期によって差がでてしまい、リアルトレードとバックテストとの差が生じた時の原因究明に大きな支障をきたすことになる。\n",
" - 私は最近、これに嵌まりました。\n",
" - 高速化をするべく、近似した累積移動平均などを使ってしまっていたが、リアルトレードとの差が生じてしまい、損失の原因究明ができなくなってしまった。\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"#### 再現性の取りにくい方法は使わないこと\n",
"- より限られた条件の中で、より少ない計算量で良質な分析を行えるようにする。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"自分が使っている検証ソフトの持っている特性と落とし穴をよく知り、その上でより精査なバックテストの検証を行うようにする。\n",
"\n",
"実際のバックテストは高速化のため、始値ベース、もしくは終値ベースでのバックテストを行うことになるとは思うが、Tickデータ(都度データ)による検証も行い、その2つの差が全く無い、もしくは差の理由が明確に理由付けできるぐらいにはしておく。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"データも集めた。\n",
"\n",
"バックテストを行って詳細な分析もし、リアルトレードソフトもできた。\n",
"\n",
"さぁ、リアルトレード開始だ!"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## 実運用を始める上で知っておきたいこと"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## 検証可能な形でトレード履歴を残すこと\n",
"- 自分が注文した価格と、実際に注文が通った価格は必ず残す。\n",
" - その差が致命的な運用損失になっていることもある。\n",
"- 最良値の価格情報も必須。FXでいうところのスプレッド。\n",
" - 約定したときのパラメータ等も履歴に残しているとなお良い。\n",
"- 約定にかかった時間を記録しておく"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"## 連続発注をしてしまうような要素は使わない。\n",
"システム自体に、連続で発注してしまうような要素の組み込みはやめたほうがいい。もちろん、それを考慮したうえでのソフトウェアも可能ではあるが、一瞬で全財産を飛ばすようなシステムに繋がってしまうことがあることは肝に銘じておくこと。\n",
"- 業者によっては、約定が通らないというレスポンスがあって、数時間立った後に「実は通ってました」みたいなことを平然と言ってくるところもある。\n",
" - 約定の安定はソフトウェアの改善より、業者の選定で行ったほうが安心。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"## あまり複雑なシステムは組まない\n",
"基本的に一人で開発することになるので、メンテナンスのしにくいソフトは避けるべき。細かい注文を何十回も行うようなシステムは向かない。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# 実際に遭遇した問題"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## ドル円のスプレッド 3 問題"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"- ドル円のスプレッドは、日本の場合 3 で提示している業者が多いが、スリッページやスプレッドの拡大を考慮すると、実質スプレッドは 5 \n",
" - エントリー時 平均スプレッド : 3.8 平均スリッページ : 1.5\n",
" - 決済時 平均スプレッド : 4.9 平均スリッページ : -0.3\n",
"- 実際にデータを記録し続けたから見えた事実。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"- ドル円の場合、スプレッドの考慮値が 3 か 5 かでバックテストへの影響が致命的な差となって現れる。\n",
" - 相対比 1.667倍\n",
" - ユーロドルの場合は 最低スプレッドが 5 で 実質スプレッドは 6.1。相対比 1.2\n",
"- 最初のスプレッドが小さいので、少しの差が致命的な差になりやすい。\n",
" - スプレッド 3 でバックテストをしていると、取引回数が多く、細かく利益を上げるシステムができていたが、スプレッド 5 にしたとたん勝てなくなった。"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"hide_input": true,
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/markdown": [
"## USDJPY Spread による違い"
],
"text/plain": [
"<IPython.core.display.Markdown object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFdCAYAAAA5XKVHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3ec5f2abd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import display, HTML, Markdown\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"sns.set(style='darkgrid', rc={'figure.facecolor':'white'})\n",
"display(Markdown(\"## USDJPY Spread による違い\"))\n",
"df = pd.DataFrame()\n",
"spread3 = pd.read_csv(\"./data/USDJPY Spread 3.csv\", header=None)\n",
"df[\"Spread 3\"] = spread3[0]\n",
"spread5 = pd.read_csv(\"./data/USDJPY Spread 5.csv\", header=None)\n",
"df[\"Spread 5\"] = spread5[0]\n",
"df.plot()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"hide_input": true,
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/markdown": [
"## リアルトレードとの差"
],
"text/plain": [
"<IPython.core.display.Markdown object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAgEAAAFXCAYAAAA72Z0WAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIVOr/AX2bskR0eBOjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3ec5bfc650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import display, HTML, Markdown\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"sns.set(style='darkgrid', rc={'figure.facecolor':'white'})\n",
"display(Markdown(\"## リアルトレードとの差\"))\n",
"df = pd.DataFrame()\n",
"spread3 = pd.read_csv(\"./data/bar_web_EURJPY.csv\", header=None)\n",
"df[\"FromWeb\"] = spread3[0]\n",
"spread5 = pd.read_csv(\"./data/tick_real_EURJPY.csv\", header=None)\n",
"df[\"RealData\"] = spread5[0]\n",
"df.plot()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"## それでも完全には一致しない。"
]
},
{
"cell_type": "markdown",
"metadata": {
"hide_input": true,
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# 理想的な状態\n",
"リアルトレードでポジションをとって、決済したとして、その検証のためのバックテストがすぐに行なえ、バックテストでもそのトレードが再現されることが確認できる。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# 再現性を高めるために最近取り組んだこと"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## バックテスト環境\n",
"- Python\n",
"\n",
"## リアルトレード環境\n",
"- Ruby : 価格取得、MT4 のヒストリカルデータ更新、シグナル管理\n",
"- MT4 : チャート分析、シグナル発生\n",
"- Python : 約定実行、価格情報をPython に送信"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
}
},
"source": [
"<img src=\"RealEnv.png\"/>"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Python と MT4 の運用結果を完全に一致させる必要が出てきた\n",
"- MT4 上から Python の演算関数を呼び出し、MT4 上での計算をさせるのをやめた。\n",
" - `FasterNumpy` 等を作成\n",
"- Linux 上で MT4 を起動して、自動でバックテストを行い、自作バックテストソフトとの結果の一致テストを書いた。\n",
" - 丸め誤差や、アルゴリズムの微妙なずれが生じていることが発覚。\n",
" - ほかにもいくつか不一致、場合によってはバグの発見にも繋がった。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### 複数のバックテストソフトを使おう\n",
"複数のバックテストソフトで同じアルゴリズムを書いてみることで、自分のアルゴリズムの見直しと、動作の確認、そのバックテストソフトの仕様への理解の深まりなど、利点が多くおすすめ。バグの発見にも繋がる。"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"frozen": false,
"read_only": false
},
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# まとめ\n",
"- バックテスト自体の検証力も大事だが、リアルトレードの検証力はもっと大事で、データをしっかり集めていないと難しい。\n",
"- より精度の高い運用を目指すこと。"
]
}
],
"metadata": {
"celltoolbar": "Slideshow",
"hide_input": false,
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
You can’t perform that action at this time.