什麼是交易策略回溯測試
回溯測試:藉助歷史數據檢驗交易策略有效性
回溯測試,作爲投資策略制定的重要環節,是一種利用歷史市場數據模擬過往交易情況的驗證方法。這一過程旨在重現過去的投資環境,將您的交易理念與實際發生的市場變化相對照,以科學嚴謹的態度評估交易策略在歷史條件下的表現。
具體而言,在金融投資領域,投資者或交易員在構建新的交易模型或策略時,並非直接應用於實時市場,而是首先通過回溯測試進行“沙盤推演”。它就像一部時光機,載着您的交易邏輯穿越歷史價格波動的迷霧,揭示出該策略在已發生的不同市場情景下可能產生的收益和風險狀況。
通過這種基於歷史數據的模擬實驗,回溯測試能夠提供有力證據,幫助您初步判斷所設計的交易策略是否具備潛在盈利能力,從而爲決定是否將其應用於實戰交易提供關鍵參考依據。
選擇交易類型與準備回溯測試
在進行回溯測試之前,首要任務是明確自身的交易風格,並據此做好相應的準備工作。交易者大致可以分爲兩類:自主決策型和系統型。
對於自主決策型交易者而言,其交易策略的核心在於個人經驗和判斷力,靈活應對市場變化,開倉和平倉時機往往基於對實時市場狀況的主觀評估。這種類型的交易方式雖然開放且自由度高,但由於缺乏嚴格的標準和規則,進行回溯測試時可能面臨結果不一致、可靠性較低的問題。但這並不意味着自主決策型交易者應當完全忽視回溯測試,他們可以通過模擬交易來了解自身決策模式的歷史表現,以優化決策過程並減少情緒化影響。
相比之下,系統型交易者更適合應用回溯測試。這類交易者依賴於一套明確且詳盡的交易規則系統,系統中明確規定了何時買入或賣出的條件(例如,“當A和B兩個條件同時滿足時買進,當X條件出現後賣出”)。此類交易策略通過嚴謹的邏輯和量化標準去除了人爲的情緒干擾,爲盈利提供了更爲合理的預期。因此,系統型交易策略在回溯測試中的效果更爲顯著和可靠,尤其在追求精確和自動化的算法交易領域備受歡迎。
爲了確保回溯測試的有效性,不論是自主決策型還是系統型交易者,在實施測試前都必須確保交易策略具備清晰明瞭的定義和操作規則。系統型交易者尤爲如此,沒有具體規則的策略將導致測試結果的不穩定性。
針對不同需求,交易者可以選擇購買自動化回溯測試軟件,只需輸入相關數據即可獲得系統生成的測試報告。然而,本文將重點介紹手動回溯測試方法,儘管過程相對繁瑣,但無疑能提供更深入的理解和學習機會,而且成本更低廉。
實操指南:手動執行交易策略回溯測試
在進行交易策略的回溯測試時,首先需要創建一個詳盡的數據記錄模板,以便跟蹤和分析歷史交易數據。不論是使用Google試算表提供的模板,還是自行在Excel或Python中編寫代碼實現,關鍵在於確保模板涵蓋了所有必要的信息字段,例如日期、市場、交易方向、開倉價格、止損與止盈點位、風險與潛在收益比率以及實際盈虧情況等。
以比特幣爲例,我們可以設計一種基於移動平均線交叉策略的回溯測試方法。當50天移動平均線上穿200天移動平均線形成黃金交叉時,我們假設在下一個每日收盤價買入;相反,當200天移動均線下穿50天移動平均線形成死亡交叉時,我們設定在下一個每日收盤價賣出。
爲了保證測試的有效性,我們需要明確指出策略適用的時間週期(如日線圖)以及回測的歷史時間段(例如,從2019年初開始)。通過查閱比特幣的歷史價格走勢,我們可以根據策略規則找到相應的交易信號,並記錄在回溯測試表格中:
- 買入 @ ~$5,400(黃金交叉)
- 賣出 @ ~$9,200(死亡交叉)
- 買入 @ ~$9,600(再次黃金交叉)
- 賣出 @ ~$6,700(又一次死亡交叉)
- 買入 @ ~$9,000(隨後的黃金交叉)
這些交易信號落實到圖表上後,我們可以直觀地看到策略的實際表現。計算每一筆交易的盈虧,第一筆交易獲利約$3800,第二筆交易則損失$2900,最終已實現盈虧爲$900。同時,截至特定時間點(如2020年12月),未實現盈利約爲$9000,這意味着如果遵循策略,在下一次出現死亡交叉時平倉離場,將可能實現這部分預期利潤。
進行回溯測試時,務必關注交易頻率、勝率、每筆交易的風險回報比以及整體資產曲線的變化等重要指標。通過系統化地模擬過去的交易場景,可以評估策略在不同市場環境下的適應性和穩定性,從而爲未來的實戰交易提供有力參考依據。
解讀回溯測試結果與優化策略
回溯測試結果分析是評估交易策略有效性和穩健性的關鍵環節。從我們的簡單回測示例中,儘管當前的已實現盈虧並不出色,但透過現象看本質,我們需要深入探究結果背後的市場環境和策略適應性。
例如,在2020年3月新冠疫情引發的市場崩盤期間,未盈利交易反映出策略在極端行情下的表現。這提示我們應考慮黑天鵝事件對策略穩定性的影響,並通過進一步擴大歷史數據範圍進行回測,以判斷虧損是否爲偶發異常或策略內在缺陷。
除了具體的盈虧情況外,回溯測試結果還可以揭示以下重要信息:
1. 波動性測量:最大收益峯值和最大回撤幅度可以幫助您瞭解策略在不同市場週期中的波動特性,以及您可能面臨的心理壓力。
2. 風險敞口:根據回測結果計算所需的風險資本,以便合理分配投資組合資金,控制整體風險水平。
3. 年化回報率:通過計算策略在一年內的平均收益率,可以與市場上其他投資產品或策略進行比較,評估其吸引力。
4. 盈利與虧損比例:觀察策略下盈利和虧損交易的比例及每筆交易的平均盈虧額,有助於判斷策略盈利能力及勝率。
5. 平均成交價格:統計開倉和平倉的平均價格,可瞭解策略執行時點的選擇效果。
然而,真正的價值不僅在於獲取上述指標數值,更在於如何運用這些信息改進策略。對於嚴謹的交易者來說,他們會在回測過程中嚴格記錄各種詳細參數,從而獲得更多學習和調整的機會。
最後,必須注意的是,在解讀回溯測試結果的同時,要警惕過擬合(優化陷阱),即過度依賴歷史數據優化策略,導致未來實際交易效果不佳。爲了確保策略的有效性和前瞻性,需要結合模擬交易(前瞻性測試)進行驗證,確保策略在未知市場條件下的適應能力和持續盈利能力。
結語
在總結全文後,我們可以明確回溯測試是金融投資領域中不可或缺的策略評估工具,它利用歷史數據模擬交易環境,幫助投資者檢驗和優化交易邏輯。不論是自主決策型還是系統型交易者,均能通過回溯測試深入理解策略在不同市場條件下的表現,從而做出更明智的投資決策。
最新的實踐表明,在瞬息萬變的金融市場中,定期進行回溯測試並結合前瞻性測試,可以有效避免過擬合陷阱,提高交易策略的穩健性和適應性。展望未來,隨着人工智能與大數據技術的發展,回溯測試方法將進一步精細化、自動化,爲投資者提供更爲精準和高效的策略驗證手段。
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141.67 | 6.55% | |
38.01 | 0.61% | |
0.00002521 | -0.20% | |
0.001896 | 0.11% | |
0.022851 | 1.78% | |
0.2000 | 31.58% | |
0.003272 | 0.62% | |
0.09672 | -7.96% | |
0.00004722 | -4.45% | |
0.1475 | -0.61% | |
2.331 | 5.81% | |
0.007900 | 1.62% | |
0.0003468 | -0.09% | |
0.00000000768 | 1.05% | |
0.8945 | 9.21% | |
0.9344 | 3.47% | |
0.1644 | 7.10% | |
105.6031 | -1.12% | |
0.14674 | 0.78% | |
14.2693 | -10.74% | |
0.000012078 | 6.56% | |
0.001907 | -10.09% | |
0.00196 | -5.77% | |
0.3173 | 2.09% | |
0.002065 | -8.59% | |
0.03737 | -0.05% | |
0.140011 | 3.51% | |
0.08310 | 0.14% | |
1.2997 | -17.76% | |
101.01 | -0.93% | |
68.9321 | 1.10% | |
4.740 | 2.69% | |
0.01295 | 6.67% | |
16.88 | 7.79% | |
0.9122 | 12.97% | |
0.05928 | -0.27% | |
0.055789 | 8.57% | |
18.2509 | 0.97% | |
0.005056 | -0.20% | |
0.03418 | -1.13% | |
0.0693 | -1.28% | |
0.00004385 | 0.07% | |
40.4304 | -6.24% | |
0.1036 | 8.60% | |
0.00395 | -27.79% | |
0.15866 | -2.72% | |
15.8500 | -0.26% | |
0.01383 | 3.13% | |
0.2487 | 1.72% | |
3.4003 | -1.15% | |
53.5798 | 4.12% | |
1.1862 | -7.18% | |
1.2340 | 1.22% | |
0.23679 | 0.18% | |
0.8194 | -13.25% | |
0.10018 | 1.30% | |
0.62606 | 24.45% | |
0.006754 | -0.13% | |
0.1656 | 11.29% | |
1.352 | 3.60% | |
0.01690 | -2.59% | |
0.2174 | -0.23% | |
0.033840 | 0.34% | |
0.2808 | 2.44% | |
0.30115 | 0.00% | |
0.02606 | 1.13% | |
0.02753 | 1.25% | |
0.05537 | -0.36% | |
0.01262 | -3.96% | |
0.000002443 | -3.06% | |
0.17162 | -0.18% | |
0.000692 | -2.26% | |
0.00104471 | 0.00% | |
0.05994 | 0.07% | |
8.663 | -1.22% | |
0.1382 | 0.07% | |
0.1938 | 1.47% | |
0.0104760 | 3.24% | |
0.0000205518 | 0.44% | |
0.002470 | 6.19% | |
0.007842 | 1.44% | |
0.3481 | -0.49% | |
0.8416 | -4.58% | |
0.01853 | 1.53% | |
0.00120 | 9.09% | |
0.1856 | 0.16% | |
0.0005217 | 1.03% | |
0.040227 | 2.23% | |
0.017954 | 0.70% | |
0.1601 | 4.50% | |
0.01728 | -0.69% | |
0.2639 | 13.12% | |
0.00011390 | -18.64% | |
0.8198 | 4.35% | |
0.0996 | 2.47% | |
0.001637 | -6.94% | |
0.1577 | 0.64% | |
0.006085 | -0.05% | |
0.00008025 | -0.58% | |
1.1776 | 0.98% | |
0.02192 | -4.11% | |
0.010269 | 0.72% | |
0.001554 | -24.85% | |
0.730 | 4.58% | |
0.30098 | 14.00% | |
0.1975 | 1.44% | |
0.024318 | 1.16% | |
0.00000283 | 1.07% | |
0.9503 | 0.03% | |
0.0002337 | -10.84% | |
0.04392 | 2.07% | |
0.001132 | 3.47% | |
0.001465 | 1.31% | |
0.1194 | 3.74% | |
0.02383 | 2.01% | |
0.02496 | 3.10% | |
0.00440178 | 0.17% | |
0.00123 | 0.00% | |
0.1747 | 6.52% | |
0.94845 | 3.19% | |
1.6905 | 0.00% | |
0.0413 | 0.00% | |
0.09427 | 8.84% | |
0.00039447 | -1.12% | |
0.002157 | 0.61% | |
0.00058 | 0.00% | |
1.1828 | 0.42% | |
1.0444 | -5.78% | |
0.02639 | -0.11% | |
0.0000998 | -0.10% | |
0.0977 | 2.09% | |
0.00045495 | -1.94% | |
0.0005659 | -4.02% | |
0.00316 | 1.61% | |
0.005520 | -5.22% | |
0.001683 | 0.06% | |
0.025054 | 0.00% | |
0.01559 | 2.43% | |
0.01355 | 0.67% | |
0.0963 | 2.56% | |
0.04590 | 6.79% | |
13.81 | 1.17% | |
0.03425 | 2.85% | |
1.8670 | -2.05% | |
0.02013 | 0.25% | |
0.2210 | 0.64% | |
0.4876 | 1.39% | |
0.2077 | -0.05% | |
1.7903 | 6.36% | |
0.00016038 | -0.16% | |
0.0050922 | 1.27% | |
0.0001811 | -9.31% | |
0.003386 | -0.47% | |
0.00018451 | -0.06% | |
0.0015726 | 0.74% | |
0.08767 | 0.13% | |
16.01 | 2.56% | |
0.000000001393 | 0.65% | |
0.1391 | 1.76% | |
0.643 | 0.31% | |
0.008774 | 0.65% | |
0.2680 | 0.68% | |
0.000000000349 | -0.85% | |
0.000005862 | 0.02% | |
0.01307 | 0.31% | |
0.000632 | 0.16% | |
0.0637 | 0.47% | |
0.01194 | -0.50% | |
17.210 | 1.03% | |
0.212934 | 0.07% | |
0.3548 | 3.35% | |
0.2109 | 5.29% | |
0.00001594 | -35.88% | |
0.000303 | -2.26% | |
0.008436 | -0.12% | |
0.002918 | 3.62% | |
0.011435 | 24.62% | |
0.03550 | 6.51% | |
0.1346 | 3.06% | |
0.3519 | 4.36% | |
0.00000000329 | -0.30% | |
0.04420 | -4.97% | |
0.870 | 2.96% | |
0.0926 | 0.87% | |
1.0035 | 6.74% | |
0.2095 | 9.97% | |
0.03571 | 1.48% | |
0.1240 | 0.00% | |
0.0799 | 4.17% | |
0.010365 | -0.01% | |
0.0042590 | 3.10% | |
0.1169 | 2.72% | |
0.1606 | 0.31% | |
0.03500 | -12.48% | |
16.72 | 3.92% | |
0.00086 | 2.38% | |
7.198 | 2.20% | |
0.02679 | -0.22% | |
0.000002545 | -0.97% | |
4.0912 | 3.30% | |
21.46 | 2.78% | |
0.0587 | -1.34% | |
2.492 | 0.28% | |
0.0002628 | 0.00% | |
0.1490 | 4.78% | |
7.32 | 2.66% | |
0.00005143 | 0.70% | |
0.01500 | 1.97% | |
1.9437 | -2.31% | |
0.002513 | -0.40% | |
0.00001484 | -0.20% | |
0.0003419 | 0.00% | |
0.07943 | 2.37% | |
0.00664 | -6.35% | |
0.0024 | 0.00% | |
2.496 | 1.18% | |
0.01928 | -3.89% | |
0.1103 | 1.94% | |
0.5569 | 4.13% | |
0.5099 | 19.05% | |
0.01656 | 1.22% | |
2.52967 | -11.21% | |
0.18905 | 0.58% | |
0.0060992 | 14.24% | |
2.369 | 4.55% | |
0.01654 | 1.53% | |
0.000126 | 1.61% | |
0.00044222 | 3.36% | |
2.616 | 3.65% | |
0.2197 | 1.85% | |
0.4698 | 11.41% | |
0.0707 | 2.32% | |
0.0002267 | -7.81% | |
1.4379 | 1.02% | |
0.00010007 | 0.00% | |
0.242 | 2.54% | |
0.1120 | 0.90% | |
0.1437 | 3.60% | |
0.00250 | -7.41% | |
0.1897 | -0.11% | |
15.81 | 3.60% | |
1.300 | 0.85% | |
0.0907 | 2.37% | |
0.0742 | 0.00% | |
0.05247 | -1.11% | |
0.611 | 0.83% | |
0.01576 | -0.13% | |
0.029840 | 0.59% | |
0.05383 | -19.20% | |
0.0981 | 1.13% | |
0.34280 | 0.55% | |
0.000008412 | 2.14% | |
0.000165 | -0.60% | |
0.012500 | -8.58% | |
0.00037113 | -0.01% | |
0.0101 | 0.00% | |
0.1924 | 4.00% | |
0.000816 | 0.25% | |
0.0000896 | 0.79% | |
0.1830 | 1.84% | |
0.02961 | -0.47% | |
0.00002546 | -0.62% | |
0.000006129 | 0.39% | |
0.056510 | 14.78% | |
0.000036 | 2.86% | |
0.000209 | 3.98% | |
0.000002056 | -1.86% | |
10.225 | -7.67% | |
2.820 | 3.87% | |
34.1080 | 0.06% | |
0.1420 | 5.81% | |
0.03238 | 1.25% | |
2.1312 | 0.00% | |
0.06800 | -0.58% | |
0.00622 | -0.16% | |
240.400 | 1.43% | |
0.044110 | 0.36% | |
20.7058 | 0.01% | |
0.025840 | 1.31% | |
0.7032 | 1.03% | |
10.5594 | 1.85% | |
0.0445 | 0.23% | |
1.6519 | 0.60% | |
0.0709 | 0.28% | |
0.00009825 | -0.37% | |
0.17901 | 1.99% | |
0.08382 | 4.88% | |
6.86 | 1.18% | |
0.01375 | 2.61% | |
0.40784 | 0.05% | |
0.578 | 0.35% | |
0.0798 | -0.25% | |
0.071036 | -3.37% | |
0.00004512 | -0.02% | |
0.06758 | 4.45% | |
0.1040 | 5.05% | |
0.001239 | -18.49% | |
0.02251 | 1.90% | |
0.01745 | -38.51% | |
1.3196 | -0.62% | |
0.1083 | 0.00% | |
0.4165 | 0.29% | |
0.1268 | 2.42% | |
0.000143 | -2.05% | |
0.1187 | 1.02% | |
6.87 | 2.54% | |
0.006243 | 1.40% | |
0.0136 | 4.62% | |
0.000774 | 2.65% | |
0.8255 | 0.66% | |
0.02218 | -0.09% | |
0.000812 | -0.73% | |
9.85 | 1.03% | |
0.1664 | 1.90% | |
0.000160 | 0.63% | |
0.4709 | 2.28% | |
0.1368 | -0.36% | |
0.9909 | -0.91% | |
0.000522 | 0.38% | |
0.005286 | 0.90% | |
0.006546 | 0.68% | |
0.0497 | 1.22% | |
0.00001900 | 0.05% | |
0.001788 | -0.39% | |
0.000790 | -1.74% | |
0.20923 | 1.32% | |
6.127 | 2.80% | |
2.9346 | -2.05% | |
0.004245 | 1.19% | |
0.00150003 | 0.00% | |
7.3681 | 0.36% | |
0.0623 | 0.00% | |
0.1806 | 5.06% | |
0.6013 | 2.65% | |
0.02427 | 0.29% | |
0.000328 | -0.61% | |
0.0927 | 1.31% | |
0.020008 | -18.56% | |
0.691 | 0.88% | |
6.81 | 3.03% | |
0.002276 | 0.35% | |
0.0000002000 | 4.44% | |
0.0906 | 3.54% | |
0.3592 | 5.15% | |
0.008211 | 0.09% | |
0.2736 | 2.51% | |
141.13 | 8.05% | |
0.0002999 | 79.37% | |
0.04502 | 3.21% | |
0.0985 | 1.86% | |
0.00001928 | -0.21% | |
0.008572 | 3.90% | |
0.1406 | 1.22% | |
0.372 | 3.05% | |
0.03668 | 2.34% | |
0.0005110 | -2.33% | |
0.04530 | -13.93% | |
0.0302 | 2.03% | |
0.3087 | 0.65% | |
0.07319 | 1.57% | |
0.04284 | 1.71% | |
0.004319 | -20.90% | |
0.000000057167 | 0.26% | |
0.226 | 0.89% | |
0.000000000673 | 3.22% | |
0.02121 | -1.90% | |
0.02547 | -27.15% | |
1.2288 | -0.55% | |
0.3342 | 2.93% | |
0.23239 | 4.84% | |
0.05687 | 3.99% | |
0.11409 | 1.52% | |
0.00382 | -0.78% | |
0.007635 | -16.61% | |
0.00148 | -12.43% | |
0.00465 | 0.22% | |
0.1014 | 2.01% | |
0.00003000 | 33.33% | |
0.00019054 | -0.02% | |
0.01999 | 1.89% | |
0.0000009751 | -3.01% | |
0.022155 | -4.93% | |
0.003205 | 0.19% | |
0.02977 | -7.40% | |
3648.9 | -0.16% | |
0.001379 | 1.70% | |
0.01883 | -11.64% | |
0.0561 | 11.75% | |
0.1054 | 2.33% | |
0.000996 | 1.63% | |
0.000296 | 0.00% | |
0.002302 | -1.16% | |
0.05106 | 0.89% | |
8.2989 | 0.21% | |
0.07003 | 1.27% | |
0.3228 | 1.51% | |
0.00856 | 2.03% | |
0.0005030 | 1.09% | |
1.862 | 1.03% | |
0.000000002685 | 3.87% | |
0.03808 | 8.46% | |
0.2246 | -5.11% | |
0.0529 | 0.95% | |
0.008441 | -12.76% | |
0.9715 | -3.10% | |
0.0674 | 2.43% | |
351.60 | 5.83% | |
0.000950 | 5.32% | |
0.00403 | 0.50% | |
0.2920 | 2.10% | |
0.017340 | 0.00% | |
1.981 | 1.80% | |
0.00005225 | 1.01% | |
0.490 | 4.70% | |
0.0295 | 0.00% | |
0.01232 | 3.01% | |
0.1657 | 1.91% | |
0.002711 | -1.20% | |
0.09428 | 10.17% | |
0.10880 | 0.36% | |
0.000000018493 | 8.55% | |
0.0001438 | -0.21% | |
0.018745 | 4.79% | |
0.016795 | -32.10% | |
0.00014 | -33.33% | |
0.01414 | 0.07% | |
0.7192 | 2.04% | |
0.04284 | -2.06% | |
0.22691 | -6.14% | |
0.00000002675 | -2.44% | |
0.051124 | 1.11% | |
4.4021 | 0.00% | |
0.01265 | 0.32% | |
0.000006630 | 0.30% | |
0.002318 | 0.30% | |
0.01570 | 0.32% | |
0.05693 | 7.15% | |
0.003946 | -1.35% | |
0.3497 | -6.97% | |
1.0328 | -1.00% | |
0.02104 | 0.14% | |
0.003832 | 5.25% | |
0.11979 | 7.71% | |
0.06651 | -13.88% | |
0.00002227 | 4.02% | |
0.08817 | 0.23% | |
0.00838 | 10.12% | |
0.000561 | -3.11% | |
0.2670 | 2.77% | |
0.2706 | 4.60% | |
0.08367 | -7.74% | |
0.003472 | 0.43% | |
0.2725 | 1.79% | |
0.9027 | 11.18% | |
0.959 | 0.31% | |
0.681 | 1.79% | |
1.375 | 1.10% | |
0.03470 | 1.82% | |
0.0000000001026 | 0.00% | |
0.0000120 | -1.64% | |
0.04365 | -12.53% | |
0.14100 | 0.26% | |
0.02308 | 1.05% | |
0.01914 | -1.14% | |
0.02900 | -0.14% | |
2.013 | -0.05% | |
0.002658 | -0.41% | |
0.002037 | 5.65% | |
0.009479 | -0.14% | |
0.007028 | 5.88% | |
0.124100 | -12.57% | |
0.007456 | -0.64% | |
0.0006282 | 4.93% | |
0.008908 | -28.07% | |
0.02516 | 0.88% | |
0.10146 | -3.86% | |
0.00000558 | -13.76% | |
0.018900 | 38.94% | |
0.005444 | -0.33% | |
0.00003099 | 0.00% | |
0.0000464 | -1.07% | |
0.0565 | 2.36% | |
0.1822 | -4.86% | |
0.9201 | 3.25% | |
0.02376 | -0.75% | |
0.826 | 1.60% | |
0.0033900 | 12.44% | |
0.00037415 | 2.12% | |
0.01080 | -0.55% | |
0.07654 | 2.05% | |
0.000548 | -1.08% | |
0.3421 | 15.81% | |
0.4868 | 4.80% | |
0.04509 | -2.97% | |
0.00437 | 0.46% | |
0.08814 | 0.84% | |
0.0002041 | 7.03% | |
1.328 | 0.23% | |
0.0002254 | -0.62% | |
0.000961 | -3.80% | |
0.3952 | 7.10% | |
0.2184 | 3.70% | |
0.0706 | 4.59% | |
0.00001840 | -0.16% | |
0.0013120 | -9.87% | |
0.71152 | 0.00% | |
0.00004404 | 2.32% | |
1.2531 | 0.75% | |
0.0012119 | -3.03% | |
428.72 | 2.98% | |
0.01355 | 0.52% | |
0.0001875 | -0.95% | |
0.000300 | 0.00% | |
0.0000000381 | 0.26% | |
0.021473 | -4.40% | |
0.015941 | 4.21% | |
0.060885 | -0.27% | |
0.07117 | 1.56% | |
0.000037 | -2.63% | |
0.18513 | 5.05% | |
0.16684 | 3.59% | |
0.000383 | 25.16% | |
0.03675 | 50.74% | |
0.000223 | -0.45% | |
0.0735 | 3.52% | |
0.00001555 | 1.70% | |
0.4024 | 3.50% | |
0.09895 | -0.26% | |
0.14380 | -2.50% | |
0.0638 | 2.57% | |
2.7743 | -0.79% | |
0.000260 | 0.00% | |
0.349 | 1.16% | |
0.0003018 | -2.46% | |
0.0000001045 | -0.29% | |
0.001057 | 11.62% | |
0.000131 | 0.00% | |
0.4444 | 0.09% | |
0.03912 | -1.36% | |
46.35 | 1.11% | |
0.001039 | -2.90% | |
0.01029 | -0.19% | |
0.07432 | -3.98% | |
0.07614 | -9.72% | |
0.2458 | 7.95% | |
1.2475 | 39.43% | |
0.5811 | 4.12% | |
0.02166 | -4.50% | |
0.02210 | -2.39% | |
0.011616 | -14.08% | |
0.04351 | -0.59% | |
0.01728 | 3.66% | |
0.003081 | 0.98% | |
0.02320 | 4.79% | |
0.008003 | -5.25% | |
0.0153577 | -2.70% | |
0.1062 | -23.04% | |
0.03775 | 6.22% | |
0.009370 | -5.34% | |
0.001324 | 14.14% | |
0.004916 | -1.95% | |
0.0000114570 | -7.22% | |
0.2014 | 3.12% | |
0.350011 | -82.50% | |
0.00000148 | 0.00% | |
1.0223 | -1.75% | |
1.3058 | 0.11% | |
0.0651 | -22.50% | |
0.01165 | 1.75% | |
0.002216 | 0.41% | |
0.9402 | 2.72% | |
0.031645 | 1.42% | |
0.000000003782 | 2.60% | |
1.884 | 0.53% | |
0.010228 | 3.05% | |
0.00319 | -3.04% | |
0.10655 | -5.72% | |
0.03541 | -0.87% | |
9.869 | 0.83% | |
0.003641 | 2.88% | |
0.00000000003240 | 7.25% | |
0.00564 | -4.08% | |
0.006675 | -6.01% | |
0.00021234 | 9.88% | |
0.1404 | 4.23% | |
0.0001883 | 13.23% | |
0.00004 | -20.00% | |
0.000383 | -4.49% | |
0.00001550 | 5.80% | |
0.0517 | 1.37% | |
0.020140 | 0.67% | |
1.248 | 1.38% | |
0.00316 | 27.94% | |
0.0000004476 | -7.94% | |
0.00000003154 | -0.16% | |
0.011022 | 21.87% | |
0.001723 | -0.17% | |
0.11987 | 2.72% | |
0.10357 | 0.21% | |
9.538 | 0.25% | |
0.000029 | 11.54% | |
0.1078 | 2.76% | |
0.008921 | -7.80% | |
0.0010426 | 0.88% | |
0.006492 | -2.93% | |
0.001703 | 11.82% | |
0.201 | -46.26% | |
0.010420 | 2.23% | |
0.00186 | 21.57% | |
0.005877 | -6.94% | |
0.012231 | -5.19% | |
0.0125 | 3.31% | |
0.0004218 | 0.33% | |
0.700 | 1.89% | |
0.0004903 | 23.10% | |
0.15123 | 20.40% | |
8.873 | -0.35% | |
0.03950 | -1.32% | |
0.02777 | -0.11% | |
0.00831 | 2.72% | |
0.652 | 0.15% | |
0.1495 | 0.54% | |
0.000000003206 | -1.20% | |
0.001819 | -21.86% | |
0.1250 | -17.55% | |
8.23 | 0.86% | |
0.000000001049 | -4.64% | |
0.02949 | -11.25% | |
0.013433 | 22.74% | |
0.00000065 | 1.56% | |
1.9297 | 3.89% | |
0.0172 | -1.15% | |
5.529 | 2.33% | |
0.000630 | -0.16% | |
0.003159 | 3.20% | |
0.0013348 | -0.28% | |
0.003749 | -10.74% | |
0.000661 | -17.27% | |
0.00455001 | -5.21% | |
0.22695 | -1.39% | |
0.001363 | -4.69% | |
0.06250 | 1.76% | |
0.007278 | -14.92% | |
0.3860 | 1.87% | |
0.00000003476 | 0.87% | |
0.22093 | -12.12% | |
0.0137 | 7.03% | |
0.013089 | -0.92% | |
0.001804 | -0.88% | |
0.0005026 | -1.39% | |
0.11620 | -13.86% | |
0.04310 | -1.08% | |
0.008711 | -0.40% | |
0.04551 | 2.52% | |
0.0000194 | 19.02% | |
0.02068 | 6.60% | |
0.007674 | -11.00% | |
0.005571 | -5.19% | |
0.0000777 | 3.88% | |
0.004884 | 0.00% | |
0.7454 | 1.58% | |
0.000093 | 16.25% | |
0.0000525 | 0.96% | |
0.3189 | 0.50% | |
0.0491 | 1.45% | |
0.004073 | -3.30% | |
0.02029 | -14.32% | |
0.003781 | -1.82% | |
0.0020628 | -5.71% | |
0.002014 | 3.12% | |
0.3470 | -2.09% | |
0.00155700 | -2.69% | |
0.02455 | -16.64% | |
0.1681 | 4.93% | |
0.004519 | 0.76% | |
0.006383 | -3.38% | |
0.006006 | -6.05% | |
0.001513 | 11.83% | |
0.3181 | 1.50% | |
0.00863 | 8.55% | |
0.1995 | 12.97% | |
0.00000979 | 5.27% | |
0.01960 | 0.77% | |
0.004608 | -22.75% | |
0.0023 | -11.54% | |
0.11237 | 2.41% | |
0.0007778 | -6.21% | |
0.0005525 | 4.28% | |
0.02377 | 1.02% | |
0.444 | 1.14% | |
0.01845 | -18.18% | |
0.061444 | 1.75% | |
0.00858 | 1.18% | |
0.04277 | -0.14% | |
0.1273 | 0.55% | |
0.5026 | 12.41% | |
0.000758 | -7.56% | |
0.02939 | 1.03% | |
0.005914 | -9.31% | |
0.03655 | 7.31% | |
0.00002180 | -3.20% | |
0.000580 | -1.69% | |
0.10089 | 2.37% | |
0.002997 | 3.77% | |
0.03754 | -5.13% | |
0.00006213 | -13.65% | |
0.5700 | 105.70% | |
0.48602 | -9.30% | |
0.423 | 3.17% | |
0.000804 | 0.12% | |
0.02170 | 53.57% | |
0.009192 | -16.12% | |
0.001328 | -7.33% | |
0.03484 | 22.25% | |
0.02990 | 10.41% | |
0.002622 | 12.68% | |
0.9997 | 0.00% | |
0.01126 | -0.44% | |
0.1797 | 1.64% | |
0.02937 | 2.23% | |
0.002217 | -2.51% | |
0.007600 | -6.07% | |
0.01570 | -10.34% | |
0.1945 | 3.24% | |
0.004379 | -14.90% | |
0.06890 | -4.13% | |
0.004708 | 4.04% | |
0.0345 | -0.29% | |
0.001336 | -9.30% | |
1.169 | 0.69% | |
0.004282 | -0.40% | |
0.00005975 | -5.04% | |
0.000675 | 1.05% | |
0.0001934 | -9.88% | |
0.04830 | -0.80% | |
0.02208 | 57.15% | |
0.1015 | 1.91% | |
0.0632 | 1.12% | |
0.000014263 | 1.75% | |
0.14049 | 1.61% | |
0.000814 | -1.21% | |
0.000002462 | 22.00% | |
0.000447 | 2.76% | |
0.0000000590 | -40.70% | |
0.0000885 | 8.32% | |
0.001982 | -1.29% | |
0.01923 | -2.04% | |
0.03701 | 15.22% | |
0.004474 | -9.43% | |
0.00596 | 0.51% | |
0.001426 | -0.28% | |
0.000000000000028 | -6.67% | |
0.00002050 | 0.74% | |
0.08710 | -0.16% | |
0.1310 | 3.64% | |
0.000729 | 5.04% | |
0.002878 | 0.24% | |
0.0441 | 0.92% | |
0.7203 | 3.24% | |
0.01499 | 1.97% | |
0.01222 | 5.89% | |
0.11355 | -0.47% | |
0.0445 | -11.18% | |
0.004427 | -4.43% | |
0.000089 | 11.25% | |
0.002254 | -0.66% | |
0.011499 | -1.50% | |
0.004367 | -5.88% | |
0.9492 | 1.37% | |
0.004535 | -5.19% | |
0.0002360 | 0.00% | |
0.0002220 | -3.44% | |
0.000610 | -7.58% | |
0.003464 | 6.52% | |
0.2872 | 47.36% | |
0.001252 | -12.75% | |
0.005771 | 3.89% | |
0.0355 | -6.82% | |
0.0000000000000398 | 2.84% | |
0.0007 | 16.67% | |
0.000410 | -31.44% | |
0.000006400 | 0.00% | |
0.0000121000 | -10.37% | |
0.000151 | -9.04% | |
0.0709 | 2.16% | |
0.001685 | -8.97% | |
0.005949 | -4.33% | |
0.003146 | -4.78% | |
0.3405 | 5.48% | |
0.00000005015 | 0.32% | |
0.000000004594 | -4.77% | |
0.003015 | 38.37% | |
0.000005197 | 0.52% | |
0.001525 | -13.65% | |
0.00000000432 | 9.37% | |
0.005769 | 5.91% | |
0.001430 | 3.62% | |
0.697 | 3.87% | |
0.000828 | -3.38% | |
0.00020 | -70.15% | |
0.1857 | 3.17% | |
0.000060 | -25.93% | |
0.516 | 2.79% | |
0.0000941 | 1.62% | |
0.0000000171 | 1.79% | |
2.9561 | 22.66% | |
0.000926 | 5.95% | |
0.00501 | 2.24% | |
0.1727 | 0.12% | |
0.0600 | 0.00% | |
0.694 | 1.31% | |
0.0509 | -1.74% | |
0.004821 | 2.97% | |
10.82 | 9.18% | |
0.002555 | 2.40% | |
0.00000000002597 | -6.85% | |
0.0170 | -3.95% | |
0.001772 | -7.71% | |
0.0000141 | 18.49% | |
0.028822 | -2.46% | |
0.1199 | 0.00% | |
0.007176 | -3.14% | |
0.00936 | -10.26% | |
0.05745 | -1.79% | |
0.047945 | -20.22% | |
0.02355 | 4.30% | |
0.003211 | -0.50% | |
0.014926 | -0.31% | |
0.000929 | 0.54% | |
0.1044 | -1.97% | |
0.000000004523 | 10.32% | |
2.601 | -0.65% | |
0.0000000006997 | -6.16% | |
0.000760 | 1.88% | |
0.001475 | -18.96% | |
0.0014533 | 0.20% | |
0.003765 | -6.27% | |
0.01450 | 0.28% | |
0.000001283 | 0.55% | |
0.00000005365 | -0.26% | |
0.00000000000121 | 1.68% | |
0.3050 | -0.33% | |
0.3348 | 1.55% | |
0.0000001546 | -4.51% | |
0.59674 | 6.61% | |
0.000189 | -5.50% | |
0.07286 | 0.21% | |
0.1523 | 5.62% | |
0.016555 | -0.95% | |
0.002205 | -6.25% | |
0.001710 | 0.83% | |
0.010684 | 5.44% | |
0.0958 | 8.99% | |
0.00326 | 3.49% | |
0.04636 | -2.65% | |
0.001107 | 1.47% | |
0.000598 | 3.82% | |
0.002922 | 6.45% | |
0.06007 | -0.99% | |
0.1000 | -6.02% | |
0.007282 | -15.74% | |
0.0003952 | -8.71% | |
0.0000363 | -3.97% | |
0.002344 | -6.24% | |
0.3462 | -1.68% | |
0.00003740 | -6.27% | |
0.0569 | -0.18% | |
0.0004450 | 7.90% | |
0.0000496 | -0.40% | |
0.0000290 | 19.83% | |
0.0004165 | 0.14% | |
0.01298 | 2.37% | |
0.0000012569 | -0.37% | |
0.0000156 | -23.90% | |
0.14723 | 0.03% | |
0.0006118 | 6.66% | |
0.000824 | 35.08% | |
0.01901 | 1.28% | |
0.005504 | 6.60% | |
0.000000001382 | 10.21% | |
0.002530 | 7.20% | |
0.1054 | 2.83% | |
0.1957 | 0.72% | |
0.00002860 | 1.63% | |
1.6104 | 156.80% | |
0.000007928 | -0.89% | |
0.00002656 | -0.41% | |
0.000002583 | -8.47% | |
0.00000000000012 | 9.09% | |
0.000016 | 45.45% | |
0.003475 | 1.94% | |
0.024100 | 12.32% | |
1.6901 | 0.01% | |
0.000018 | 12.50% | |
0.0004444 | -11.12% | |
0.0005265 | 1.62% | |
0.000000147 | 0.00% | |
0.00000000000676 | 3.68% | |
0.0003152 | 3.75% | |
0.3107 | -13.62% | |
0.001380 | 15.29% | |
0.000037303 | 11.67% | |
0.006320 | -10.24% | |
0.009631 | -2.55% | |
0.004032 | -4.66% | |
0.003145 | -21.18% | |
0.004333 | -2.03% | |
0.000108 | 1.89% | |
0.0004828 | -7.90% | |
0.06429 | 0.22% | |
0.00000363 | 0.83% | |
0.0011113 | 7.16% | |
2.0000 | 80.21% | |
0.005406 | -8.84% | |
0.001339 | -4.22% | |
0.05127 | -0.12% | |
0.00000000000047 | 4.44% | |
0.0006063 | -5.60% | |
0.000009 | -75.68% | |
0.0017 | 6.25% | |
0.0000813 | -2.05% | |
0.01214 | 0.00% | |
1.3102 | -0.12% | |
0.000001032 | -9.39% | |
0.002672 | -1.91% | |
0.000014 | -17.65% | |
0.0006753 | -5.09% | |
0.01179 | 0.17% | |
0.0084 | 44.83% | |
0.0015264 | -3.28% | |
0.04173 | 0.53% | |
0.001819 | -5.60% | |
0.0005207 | 1.46% | |
0.00684 | -48.10% | |
0.04070 | -3.21% | |
0.003554 | 0.28% | |
0.00104 | 7.22% | |
0.00914 | -0.33% | |
0.004147 | -0.19% | |
0.00000028 | -6.67% | |
0.0007 | 40.00% | |
0.000021 | -12.50% | |
0.0000000056001 | -6.51% | |
0.000588 | -23.54% | |
0.000000000041 | 17.14% | |
0.000000001166 | 1.66% | |
0.06971 | -1.44% | |
0.9475 | 0.21% | |
0.005428 | 2.18% | |
0.00000000000037 | 12.12% | |
0.0015991 | -0.79% | |
0.000055 | -6.78% | |
0.00000000000330 | -3.23% | |
0.0004571 | -0.97% | |
0.001676 | -0.83% | |
0.00003501 | -29.98% | |
0.001382 | -2.54% | |
0.001323 | -1.85% | |
0.001064 | -13.92% | |
0.00000000001477 | 4.68% | |
0.0004081 | 0.59% | |
0.03625 | 0.50% | |
0.01912 | -4.69% | |
0.000857 | -10.54% | |
0.000000000117 | 0.86% | |
0.000097 | 38.57% | |
3.369 | 0.30% | |
0.08805 | 0.91% | |
0.0011104 | 23.35% | |
0.000240 | 41.18% | |
0.1828 | 2.07% | |
0.0276399 | -6.82% | |
0.000383 | -0.78% | |
0.00119 | -16.20% | |
0.0000120 | -52.00% | |
0.9990 | 0.00% | |
0.0100 | -8.26% | |
0.00001 | 0.00% | |
0.0000000086 | 2.38% | |
0.000795 | 0.00% | |
0.04142 | 0.00% | |
4679.00 | 0.02% | |
0.000184 | 0.55% | |
0.003252 | 0.00% | |
0.00000970 | -44.16% | |
0.1082 | 0.00% | |
0.000417 | -0.24% | |
0.000918 | 0.00% | |
0.00000000053 | 1.92% | |
0.06550 | 27.33% | |
0.01100 | 44.74% | |
0.001506 | 2.87% | |
0.00061 | 771.43% | |
0.00000179 | 17.76% | |
0.00000000000096 | 18.52% | |
0.0072 | 10.77% | |
0.0000184 | 57.26% | |
0.0000159 | -5.92% | |
0.0004513 | 1.42% | |
0.000038 | 0.00% | |
0.000000035 | -2.78% | |
0.00020 | 42.86% | |
0.0031 | 82.35% | |
0.00002719 | -5.33% | |
0.008001 | 0.00% | |
0.0000527 | -1.13% | |
0.001598 | 79.95% | |
0.00000000007021 | 0.01% | |
0.00000800 | -2.91% | |
0.04011 | 0.00% | |
0.01523 | -0.20% | |
0.000913 | 0.55% | |
0.0009047 | 5.69% | |
0.4120 | -2.37% | |
0.0008287 | -8.43% | |
0.4240 | 2.51% | |
0.004116 | -4.74% | |
0.002064 | 2.13% | |
58.5600 | 0.00% | |
0.0002041 | -0.49% | |
0.000437 | -0.23% | |
4.505 | 2.06% | |
0.0004919 | 0.33% | |
0.3355 | 4.65% | |
0.0139 | 0.00% | |
0.0003934 | -0.66% | |
0.001453 | -3.77% | |
0.004684 | 2.27% | |
0.001344 | 0.30% | |
0.00069 | 0.00% | |
0.000095 | 0.00% | |
0.0007993 | 0.00% | |
0.03429 | -0.49% | |
0.1357 | 0.00% | |
0.0000705 | 0.00% | |
0.003006 | -0.76% | |
0.01013 | -3.80% | |
0.0004120 | 2.21% | |
0.001992 | 2.57% | |
15.84 | -6.44% | |
0.3134 | 1.33% | |
0.004845 | -4.93% | |
0.07010 | -2.57% | |
0.6129 | -0.23% | |
0.002852 | -4.20% | |
0.001924 | -7.14% | |
0.007164 | 0.97% | |
0.002671 | -14.75% | |
0.001240 | -4.62% | |
0.001152 | -11.52% | |
0.002331 | 1.26% | |
0.008020 | -3.85% | |
0.002980 | -13.77% | |
0.001650 | 0.00% | |
0.0005500 | 0.00% | |
0.0000255 | 0.00% | |
0.1308 | -0.15% | |
0.01101 | 2.23% | |
0.000712 | -0.56% | |
0.002699 | -1.06% | |
0.025749 | -1.67% | |
0.001530 | -2.42% | |
0.0002478 | 2.91% | |
0.007683 | -1.65% | |
0.0001077 | -0.09% | |
0.000107 | 0.00% | |
0.004067 | 0.62% | |
0.1549 | -0.45% | |
0.9930 | 0.07% | |
0.000048 | 0.00% | |
0.03688 | 0.85% | |
0.002290 | 0.00% | |
0.01112 | -4.96% | |
0.000779 | -4.53% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.6299 | 0.45% | |
0.00007390 | 0.00% | |
0.000098 | -2.00% | |
0.000478 | 0.00% | |
1807 | 0.00% | |
0.04294 | 2.85% | |
9.86 | 1.23% | |
0.000000001488 | 10.30% | |
0.00000011505 | 0.00% | |
0.1204 | 0.00% | |
0.00035 | 0.00% | |
0.00001980 | 0.00% | |
0.0011 | 0.00% | |
0.00068 | 0.00% | |
0.002609 | 0.00% | |
0.2054 | 0.00% | |
0.002109 | 0.00% | |
0.000451 | 0.00% | |
0.0015 | 0.00% | |
0.0000002593 | 0.00% | |
0.0000001500 | 0.00% | |
0.000027 | 3.85% | |
0.00006187 | 0.00% | |
0.001400 | 0.00% | |
0.2520 | 0.32% | |
0.001340 | -1.62% | |
0.001452 | 0.00% | |
0.000652 | 0.31% | |
0.000382 | 0.00% | |
0.000088 | 0.00% | |
0.00000000000511 | 0.00% | |
0.000067 | 0.00% | |
0.000000000130 | 0.00% | |
0.000391 | 0.00% | |
0.0008 | 14.29% | |
-- | -- | |
0.00000001 | 0.00% | |
0.0000008946 | 15.75% | |
248.2299 | 0.00% | |
0.00425 | 0.00% | |
0.00000409 | 0.00% | |
0.05056 | 0.00% | |
0.00005059 | 0.00% | |
0.000040 | 0.00% | |
0.000096 | 0.00% | |
0.00067 | 0.00% | |
0.000769 | 0.00% | |
0.022619 | 4.64% | |
0.000363 | 0.00% | |
0.000255 | 0.00% | |
0.03550 | 0.00% | |
116.1900 | 0.00% | |
0.0060 | 0.00% | |
0.001465 | -5.85% | |
65.0492 | 0.00% | |
0.0020 | 0.00% | |
0.000889 | 0.00% | |
0.05129 | 0.00% | |
0.001762 | -0.51% | |
0.0000000152 | 0.00% | |
0.00447 | 0.00% | |
0.00006594 | 0.00% | |
0.06910 | 0.00% | |
0.0096 | 0.00% | |
0.01865 | 0.21% | |
0.003706 | 0.00% | |
0.0094 | 0.00% | |
0.6700 | 0.00% | |
0.01989 | 0.00% | |
0.00501 | 0.00% | |
0.08151 | 1.66% | |
0.010200 | 0.00% | |
0.88686 | 0.00% | |
0.1414 | 0.00% | |
0.00551 | 0.00% | |
0.09018 | 0.00% | |
0.000001000 | 0.00% | |
0.000391 | 0.00% | |
0.00900 | 0.00% | |
0.00710 | 0.00% | |
0.00000000006 | 0.00% | |
0.000201 | 0.00% | |
0.00000100 | 0.00% | |
0.004544 | 0.00% | |
0.0001225 | 0.00% | |
5012.91 | 0.00% | |
0.00001305 | 0.00% | |
0.001630 | 0.00% | |
0.00113 | 0.00% | |
0.0000000500 | 0.00% | |
0.000056 | 0.00% | |
0.0189 | 0.00% | |
0.00320 | 0.00% | |
0.00008464 | 0.00% | |
0.3217 | 0.00% | |
0.0004869 | 0.00% | |
0.000064 | 0.00% | |
0.00019 | 0.00% | |
1.5000 | 0.00% | |
0.00075 | 0.00% | |
0.000547 | 0.00% | |
0.000150 | 0.00% | |
0.0948 | 0.00% | |
0.4402 | 0.00% | |
0.04843 | 0.00% | |
0.00179 | 0.00% | |
0.00041 | 0.00% | |
0.000239 | 0.00% | |
0.9960 | 0.00% | |
0.9998 | 0.00% | |
1.1665 | -1.02% | |
1.1576 | -0.21% | |
0.0047 | 0.00% | |
0.0250 | 0.00% | |
0.001432 | 0.00% | |
0.006648 | 2.07% | |
0.001520 | 0.00% | |
0.000016 | 0.00% | |
0.00000955 | 0.00% | |
0.1500 | 0.00% | |
0.250 | 0.00% | |
0.7500 | 0.90% | |
0.0017 | 0.00% | |
0.4758 | 0.00% | |
0.00925 | 0.00% | |
0.00036 | 0.00% | |
2.70 | 0.00% | |
0.00874 | 1.63% | |
0.0021 | 0.00% | |
0.0089 | 0.00% |