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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0.000615 | 3.54% | |
0.00001215 | 9.36% | |
0.01090 | -1.80% | |
0.000001844 | 1.10% | |
3.072 | 16.94% | |
3.5510 | 0.03% | |
0.26035 | -0.63% | |
0.005166 | 7.71% | |
0.00366 | -6.87% | |
0.01614 | -2.60% | |
0.00323 | -0.31% | |
0.66261 | -1.22% | |
11.9942 | -0.87% | |
0.00293 | 0.69% | |
0.2201 | 2.95% | |
0.00020 | -16.67% | |
0.01751 | 9.57% | |
0.000000001090 | 7.60% | |
0.4362 | 0.60% | |
0.0000000034 | -8.11% | |
0.005104 | 12.95% | |
0.07775 | 6.38% | |
0.00000358 | 15.86% | |
0.1498 | 10.39% | |
0.000500 | -12.28% | |
0.000326 | -1.81% | |
0.033158 | 4.34% | |
0.0000751 | 8.53% | |
0.15736 | 20.39% | |
0.04760 | -21.63% | |
0.0130 | 25.00% | |
17.20 | 11.91% | |
0.1750 | 10.20% | |
0.02368 | 23.08% | |
0.2307 | 12.54% | |
0.001231 | 18.25% | |
0.000525 | -1.50% | |
0.00003567 | -2.33% | |
0.0658 | 4.61% | |
0.0000005800 | 1.86% | |
0.00005019 | 3.93% | |
0.0005584 | -0.14% | |
0.07269 | 0.06% | |
0.4576 | 9.13% | |
0.01663 | -0.30% | |
0.00946 | 7.99% | |
0.0030113 | 8.52% | |
6.2830 | 6.25% | |
0.1374 | -0.51% | |
0.7361 | 2.72% | |
0.00008180 | -7.09% | |
5.12 | -7.25% | |
0.00000910 | 16.07% | |
0.00793 | 1.28% | |
0.006719 | -0.19% | |
51.968 | 1.09% | |
0.5154 | -2.02% | |
0.02822 | -4.47% | |
1.240 | 0.08% | |
209.3 | 19.06% | |
2.510 | 11.56% | |
0.00011683 | 2.90% | |
0.326 | 2.19% | |
0.003500 | -14.30% | |
0.00010483 | 15.13% | |
0.000000347 | 24.82% | |
0.0410 | 5.13% | |
0.03471 | 0.14% | |
96.4170 | -1.01% | |
0.4574 | 12.44% | |
0.2893 | 8.72% | |
0.0000000040 | 0.00% | |
1.361 | 3.34% | |
0.00209 | -3.69% | |
0.013087 | 4.70% | |
0.001540 | 8.15% | |
0.000001992 | 2.10% | |
0.02422 | 16.78% | |
0.9998 | -0.07% | |
0.0000170 | -1.73% | |
0.00709 | 26.38% | |
34.0952 | 0.03% | |
0.1338 | 4.53% | |
2.1171 | 41.14% | |
0.01489 | 9.00% | |
0.00025 | 0.00% | |
0.000370 | 22.92% | |
0.2108 | 6.52% | |
0.009319 | -3.74% | |
0.0094 | 4.44% | |
0.01139 | 9.94% | |
0.291 | 4.30% | |
0.00744 | -8.49% | |
0.34521 | -0.38% | |
0.00000570 | -9.24% | |
0.00010522 | -7.24% | |
0.002790 | -10.81% | |
0.0000326 | 20.74% | |
0.002025 | -0.44% | |
0.003622 | 7.06% | |
2.1111 | 0.00% | |
0.000131 | 0.77% | |
0.004225 | 6.61% | |
0.4663 | 19.29% | |
0.00000169 | -2.87% | |
0.02767 | -0.14% | |
0.0017 | 0.00% | |
96.1568 | 0.31% | |
0.00017186 | 0.00% | |
0.1660 | 4.14% | |
0.012352 | -1.08% | |
0.47888 | -0.23% | |
0.00001016 | 9.48% | |
0.003183 | 6.96% | |
0.00128 | -2.29% | |
0.7361 | 4.13% | |
1.6054 | 0.16% | |
0.1067 | -0.37% | |
0.000000000304 | 4.47% | |
0.002450 | 14.81% | |
8.969 | 0.61% | |
0.01007 | 17.50% | |
0.014999 | 19.04% | |
0.000000043262 | 8.31% | |
0.020266 | 4.40% | |
5.3022 | 0.03% | |
0.005412 | -8.24% | |
0.5510 | -9.36% | |
0.0000848 | 1.07% | |
131.67 | 9.30% | |
0.003755 | 46.91% | |
0.000299 | -21.32% | |
0.06040 | 3.42% | |
0.000006900 | 1.88% | |
0.2914 | 23.68% | |
0.00000011594 | 6.28% | |
0.001004 | 4.37% | |
0.00225 | 0.00% | |
0.8564 | 7.80% | |
0.000583 | -4.43% | |
0.003211 | 18.71% | |
0.000612 | -8.25% | |
0.08690 | -8.70% | |
0.0002009 | 2.50% | |
4.42 | 7.80% | |
0.000500 | -9.09% | |
0.00760 | 9.67% | |
0.0302 | 0.67% | |
0.1913 | 8.94% | |
0.013398 | 9.38% | |
0.00806 | 3.73% | |
0.000438 | 13.18% | |
0.002398 | 17.09% | |
0.0004314 | 14.67% | |
14.47 | 9.04% | |
0.01300 | 6.21% | |
0.001986 | -2.93% | |
0.3015 | 0.50% | |
0.2545 | 13.67% | |
0.1390 | 3.19% | |
0.018474 | -1.98% | |
0.0037025 | -0.30% | |
0.01054 | 3.33% | |
0.000519 | 0.39% | |
0.002373 | 0.00% | |
0.008721 | 30.28% | |
0.030192 | 5.32% | |
7.24 | 8.06% | |
0.08752 | 15.60% | |
0.0193 | -7.21% | |
0.00003941 | -0.10% | |
0.00232 | -10.77% | |
0.7465 | 6.60% | |
0.00005398 | 19.66% | |
0.000161 | -0.62% | |
0.00253546 | 7.84% | |
0.0001488 | 30.07% | |
4.262 | 1.84% | |
2.844 | 15.05% | |
0.2426 | 0.29% | |
0.0000735 | 3.09% | |
0.2043 | -0.05% | |
0.0000290 | 7.01% | |
0.1298 | -8.27% | |
0.0015 | 0.00% | |
0.00000345 | 0.00% | |
0.339 | 4.95% | |
0.001645 | -10.06% | |
0.0517 | 7.48% | |
1258 | 15.84% | |
0.7327 | 4.78% | |
0.028875 | 13.48% | |
0.000353 | 73.89% | |
0.5627 | 0.00% | |
0.0770 | -0.65% | |
0.4733 | 1.81% | |
0.0128547 | 0.99% | |
0.001017 | 22.83% | |
0.00748 | -0.53% | |
0.00489 | 0.62% | |
0.02764 | 10.34% | |
0.5542 | 6.82% | |
0.00000006018 | 8.49% | |
0.00309 | 19.31% | |
4.665 | 7.22% | |
0.1494 | 5.21% | |
12.47 | 14.93% | |
0.4809 | 11.53% | |
0.000064 | -9.86% | |
2993.88 | -0.78% | |
0.03702 | -4.39% | |
0.00005630 | 5.23% | |
1.401 | -6.85% | |
0.00411 | 3.01% | |
0.000138 | -2.82% | |
0.00204 | 18.60% | |
0.009237 | 8.65% | |
0.3190 | 7.08% | |
0.002365 | 3.96% | |
0.0694 | 3.12% | |
0.01359 | 19.42% | |
0.007966 | -3.71% | |
0.00135 | -0.74% | |
0.1233 | -37.12% | |
0.001011 | -1.27% | |
0.001253 | 14.53% | |
0.00020404 | -48.34% | |
0.1305 | 6.53% | |
0.00784 | 19.88% | |
0.00632 | -0.32% | |
7.0000 | -17.65% | |
0.1139 | 9.73% | |
2.6267 | 0.01% | |
38.90 | 4.29% | |
26.9657 | 0.47% | |
0.0407 | -0.25% | |
0.00276 | -3.16% | |
0.13009 | -0.76% | |
0.03779 | 1.94% | |
0.001103 | 10.08% | |
0.010530 | -12.43% | |
0.0551 | 6.58% | |
0.01499 | 1.22% | |
5.187 | 7.32% | |
2.459 | 3.36% | |
0.000000001275 | 0.00% | |
0.002453 | 43.53% | |
0.1672 | 10.51% | |
0.001425 | 4.24% | |
0.00004737 | -3.99% | |
0.685 | 4.90% | |
0.060530 | 4.27% | |
0.00707 | -0.14% | |
1.7439 | 1.50% | |
0.0057 | -3.39% | |
0.011343 | 4.78% | |
0.02756 | 0.92% | |
0.0002008 | 8.54% | |
0.00040 | -9.09% | |
0.004946 | 0.45% | |
0.2383 | -3.09% | |
0.006087 | 1.67% | |
11.89 | 21.45% | |
0.000000250 | -5.66% | |
0.000000000058 | -17.14% | |
6.39 | 8.49% | |
0.4485 | 5.80% | |
0.001148 | -0.09% | |
0.01842 | 26.77% | |
0.3349 | 6.08% | |
0.02149 | 2.92% | |
0.2604 | 0.27% | |
0.002454 | 19.01% | |
0.1256 | 3.04% | |
0.001365 | 15.97% | |
0.06176 | 13.78% | |
0.713 | 8.85% | |
0.002283 | -4.40% | |
0.07536 | 8.53% | |
0.7113 | 3.25% | |
0.003227 | 13.83% | |
0.1717 | 1.18% | |
0.00823 | 34.70% | |
0.00003925 | 30.01% | |
0.001424 | 9.37% | |
0.0549 | 3.78% | |
0.1581 | 7.04% | |
3.9774 | -8.08% | |
0.1127 | 11.14% | |
0.03359 | 2.94% | |
0.00006288 | 11.25% | |
0.1494 | 9.69% | |
1.8416 | 12.01% | |
0.01467 | 0.14% | |
4.85 | 9.48% | |
0.01185 | 22.29% | |
276.7 | 7.21% | |
0.006345 | 15.01% | |
0.0902 | 11.91% | |
0.411 | -7.43% | |
0.02549 | 26.63% | |
0.00000901 | 4.65% | |
125.58 | 12.96% | |
0.000312 | 4.00% | |
0.00451 | 1.35% | |
0.0000000148 | 9.63% | |
0.0000090 | 3.45% | |
0.401 | 9.56% | |
0.0122 | 22.00% | |
0.0000228 | 0.44% | |
0.0109 | -3.54% | |
0.000222 | -19.86% | |
0.000718 | -11.69% | |
0.0353 | 10.31% | |
0.00375 | -6.48% | |
5.06 | 1.40% | |
0.000555 | -4.15% | |
1.632 | 8.73% | |
0.00427 | 9.21% | |
0.03310 | -0.63% | |
0.000114 | 8.57% | |
0.000284 | 1.43% | |
0.7545 | 8.75% | |
0.0000644 | 24.56% | |
0.08421 | 11.27% | |
0.609 | 5.55% | |
0.1325 | 7.99% | |
0.001592 | -1.18% | |
0.00000000006860 | 1.05% | |
0.9407667 | 9.98% | |
0.0522 | 6.31% | |
0.01056 | 17.07% | |
0.00376 | 11.57% | |
0.00000003078 | 10.40% | |
21.80 | 7.34% | |
0.02541 | 4.31% | |
0.000215 | -22.38% | |
0.000059 | 13.46% | |
0.2344 | 2.63% | |
8.085 | 9.27% | |
0.000774 | 12.01% | |
0.003779 | 6.27% | |
0.017634 | 21.54% | |
1703.10 | 1.61% | |
0.00814 | 16.45% | |
0.01077 | 26.41% | |
0.0903 | 9.45% | |
0.00841 | 15.05% | |
0.0989 | 5.44% | |
0.00897 | 6.15% | |
0.00002696 | 6.73% | |
0.48741 | 13.66% | |
0.000000366 | -6.15% | |
0.8943 | 9.03% | |
0.3635 | -1.84% | |
0.0511 | 9.19% | |
0.00000455 | -2.99% | |
0.3318 | 39.59% | |
0.002000 | -4.76% | |
0.0568 | 3.27% | |
0.0000000304 | 8.96% | |
0.01137 | 0.18% | |
0.00069 | 9.52% | |
0.0000258 | 0.39% | |
0.03696 | 2.10% | |
0.0090 | -9.09% | |
0.0000141 | 17.50% | |
0.02963 | 18.24% | |
14.0639 | 5.79% | |
0.18495 | 5.48% | |
0.000927 | 5.70% | |
0.0004969 | 7.79% | |
0.003153 | 1.45% | |
0.0000497 | -9.80% | |
0.0750 | 8.85% | |
0.83215 | -0.25% | |
0.0085 | -6.59% | |
0.392 | 9.19% | |
1.767 | 12.62% | |
0.001856 | 8.03% | |
0.003212 | 12.35% | |
0.002609 | -4.08% | |
0.001912 | 17.52% | |
0.000097 | -1.02% | |
0.007096 | -14.65% | |
0.0693 | -3.62% | |
0.3371 | 10.24% | |
0.0361 | 12.81% | |
0.4533 | 6.08% | |
0.2029 | 6.01% | |
0.000071 | -12.35% | |
0.177 | 5.36% | |
0.00535 | 5.11% | |
0.392 | 6.23% | |
0.508 | 7.40% | |
0.0405 | 6.86% | |
0.0133 | 9.92% | |
1.076 | 0.84% | |
0.02113 | 0.00% | |
0.002320 | 26.36% | |
0.0002453 | 4.29% | |
0.0008000 | -9.60% | |
0.000001345 | 6.66% | |
3.1543 | 13.62% | |
0.000785 | 4.81% | |
0.000807 | 1.89% | |
0.0085 | 0.00% | |
0.4190 | 3.61% | |
0.367 | 6.69% | |
0.00004547 | 28.16% | |
0.000001210 | -3.20% | |
12.51 | -0.08% | |
0.2127 | 4.57% | |
0.01006 | 6.46% | |
0.000000001792 | -4.78% | |
0.003288 | 9.27% | |
0.0000000001294 | 0.86% | |
0.011760 | -2.88% | |
0.0000453 | -6.98% | |
0.00782 | 15.51% | |
0.000578 | 5.09% | |
0.00000000978 | -8.77% | |
0.1085 | 4.73% | |
0.02061 | -1.90% | |
0.006352 | -16.44% | |
0.1226 | 4.52% | |
4.079 | 1.92% | |
0.02589 | 36.12% | |
0.01290 | 22.97% | |
0.0679 | 6.43% | |
0.01172 | 6.93% | |
10.22 | 9.89% | |
0.0000000000000125 | 5.93% | |
0.0038 | 0.00% | |
0.0086 | 6.17% | |
0.02021 | 10.08% | |
0.001005 | 10.08% | |
0.006990 | 0.04% | |
0.000811 | 12.80% | |
0.0594 | 7.22% | |
0.004761 | 14.86% | |
0.1540 | 10.00% | |
13.20 | 8.20% | |
0.3680 | 11.82% | |
0.0515 | 1.18% | |
0.0609 | 6.65% | |
0.01788 | 19.68% | |
0.4672 | 5.58% | |
0.001849 | 6.26% | |
0.0000033 | 0.00% | |
0.001081 | 38.24% | |
0.601 | 9.47% | |
0.0002938 | 16.17% | |
0.00866 | 30.23% | |
0.02325 | 5.92% | |
0.0851 | 24.42% | |
0.000098 | 12.64% | |
12.58 | 6.16% | |
0.000385 | 6.94% | |
0.007226 | 31.72% | |
0.0004379 | 0.48% | |
0.0379 | 1.61% | |
0.02133 | 7.40% | |
13.18 | 6.03% | |
0.605 | 5.58% | |
0.0491 | -17.48% | |
1.9681 | 1.27% | |
0.0004862 | 2.73% | |
0.002872 | -1.31% | |
0.990 | 0.92% | |
3.839 | 5.90% | |
0.1097 | 12.74% | |
0.01900 | 13.70% | |
0.001909 | 11.83% | |
11.05 | 5.74% | |
0.002074 | 11.45% | |
0.0156 | -22.39% | |
0.0716 | 4.53% | |
0.000481 | 3.22% | |
2.352 | 1.77% | |
0.000992 | 17.40% | |
0.0845 | 8.06% | |
0.0473 | 11.82% | |
0.001256 | 23.74% | |
0.003461 | 17.20% | |
6.63 | 9.23% | |
0.00321 | 2.56% | |
0.002094 | 23.18% | |
0.0000000681 | 8.10% | |
0.7500 | -0.20% | |
0.0389 | 8.66% | |
0.000001131 | -38.40% | |
0.02208 | 46.81% | |
0.0003667 | 11.53% | |
0.438 | 5.80% | |
1.106 | 6.96% | |
0.0089 | -12.75% | |
0.0000015858 | 11.92% | |
0.00113 | -0.88% | |
4.57 | 5.06% | |
0.002083 | 7.43% | |
0.491 | -1.01% | |
0.00000315 | 6.06% | |
0.0004317 | 9.37% | |
0.0753 | 4.87% | |
0.0053124 | 3.35% | |
0.00000074 | 8.82% | |
0.0003346 | 0.63% | |
20.0830 | -35.22% | |
0.002300 | -1.41% | |
0.1306 | 31.52% | |
13.10 | 6.33% | |
0.0001630 | 10.28% | |
0.02833 | -0.42% | |
0.02799 | 0.61% | |
0.00168 | 19.15% | |
0.002489 | 35.12% | |
0.00036015 | 11.77% | |
0.000000001430 | 2.44% | |
0.000396 | 24.14% | |
0.241 | 5.24% | |
0.0000000431 | -1.60% | |
0.0850 | 5.07% | |
0.0810 | 1.25% | |
0.00634 | 36.34% | |
62.3 | 3.83% | |
0.000693 | -4.28% | |
0.00000000000012 | 50.00% | |
100.71 | 0.95% | |
0.00599 | 10.52% | |
0.0000386 | -1.53% | |
0.0199 | 5.85% | |
0.001332 | 15.13% | |
0.0000000618 | 7.48% | |
0.0411 | 9.02% | |
0.04389 | -8.31% | |
0.272 | 5.84% | |
0.1236 | 7.29% | |
0.0003374 | 18.39% | |
0.07263 | 5.25% | |
0.00790 | 7.19% | |
0.05488 | -7.45% | |
0.0434 | 6.37% | |
0.04004 | 8.89% | |
0.6307 | -5.53% | |
1.949 | 6.74% | |
0.04705 | 1.73% | |
0.0214 | 8.63% | |
5.66 | -0.53% | |
0.000974 | 3.95% | |
0.0507 | 8.80% | |
0.001211 | 11.92% | |
0.0000002626 | 0.00% | |
0.02083 | -0.19% | |
0.000218 | -12.45% | |
1.001 | 8.57% | |
0.02339 | 6.85% | |
0.01027 | 7.43% | |
0.001403 | 14.62% | |
0.03155 | -5.85% | |
0.0001394 | -0.43% | |
0.1641 | 8.10% | |
0.14445 | 0.08% | |
0.0001393 | -13.64% | |
0.0188 | -3.59% | |
0.0750 | 4.46% | |
0.1507 | 2.03% | |
0.460 | 8.49% | |
0.382 | 8.22% | |
0.0030 | 11.11% | |
0.005310 | -9.20% | |
0.0000000373 | 6.88% | |
12.72 | 15.22% | |
0.0006 | -40.00% | |
0.0000000323 | 0.31% | |
0.000150 | 20.00% | |
0.00008240 | 3.04% | |
0.000902 | 8.28% | |
0.1725 | 0.82% | |
0.0252 | 7.23% | |
0.1541 | 8.75% | |
1.1163 | 6.84% | |
0.000178576 | -1.49% | |
0.0002834 | -18.96% | |
0.000763 | -7.29% | |
0.00000001140 | 23.64% | |
0.0000018 | 0.00% | |
0.00002491 | 4.53% | |
0.00726 | 1.68% | |
0.000221 | 7.80% | |
0.000000000001010 | -69.85% | |
0.0612 | 1.16% | |
15.11 | 4.28% | |
0.00011627 | 16.27% | |
0.1176 | 4.16% | |
0.0129 | 7.50% | |
0.004450 | 12.92% | |
0.000129 | -49.61% | |
3.58 | 8.81% | |
0.1991 | 11.42% | |
0.00006490 | 24.81% | |
2.0455 | 5.66% | |
0.006488 | 8.03% | |
0.000643 | 11.25% | |
0.000968 | 21.76% | |
0.0114 | 0.00% | |
0.000687 | 10.99% | |
0.001860 | -2.77% | |
1.945 | 3.68% | |
0.00019485 | -5.37% | |
0.05543 | -0.18% | |
0.4933 | 5.88% | |
0.001850 | 1.37% | |
0.001910 | 1.76% | |
0.00833 | 3.35% | |
0.456 | 9.88% | |
0.002555 | 13.51% | |
0.000253 | -4.17% | |
0.01221 | -31.71% | |
0.1628 | 4.83% | |
0.00002 | 0.00% | |
0.003320 | 8.11% | |
0.0100 | 58.73% | |
0.2464 | 12.61% | |
0.0000002182 | 2.97% | |
0.003325 | 4.30% | |
0.0001004 | 0.20% | |
0.01779 | 14.26% | |
4.989 | 13.41% | |
0.001844 | 10.22% | |
0.6902 | 1.90% | |
0.5361 | 6.05% | |
0.0176 | 5.39% | |
0.00218 | -2.68% | |
21.412 | 4.45% | |
0.003937 | 34.97% | |
1.734 | 6.64% | |
0.2764 | 17.17% | |
0.000000000209 | -3.24% | |
0.000671 | 8.23% | |
0.03989 | 19.90% | |
0.0029 | 7.41% | |
0.00754 | 0.00% | |
0.00115 | -3.36% | |
0.0014337 | 5.09% | |
0.0001373 | 174.05% | |
0.0026 | -21.21% | |
0.000131 | 10.08% | |
0.416 | 6.94% | |
0.00001187 | 3.76% | |
1.96 | 6.52% | |
0.01236 | 6.55% | |
0.00001989 | 12.06% | |
0.0000437 | 0.69% | |
0.00000084 | 0.00% | |
2.332 | 3.92% | |
0.1098 | -1.44% | |
0.0958 | -0.21% | |
1.351 | 21.71% | |
0.003575 | -3.01% | |
0.00262 | -7.42% | |
4.987 | 5.21% | |
0.01357 | 9.52% | |
0.0904 | 6.86% | |
0.00000750 | 0.13% | |
0.1708 | -31.82% | |
0.9777 | 10.13% | |
0.01265 | 22.10% | |
0.00000000980 | 5.26% | |
0.000000000001384 | 3.59% | |
0.2341 | 18.59% | |
0.00000000000164 | 2.50% | |
0.00082 | 32.26% | |
0.02155 | 6.42% | |
0.000519 | 18.22% | |
0.000040 | -60.00% | |
0.0227 | 7.08% | |
0.0897 | 9.93% | |
0.05376 | -5.12% | |
0.000853 | -2.18% | |
0.0000454 | -0.22% | |
0.01360 | 31.91% | |
0.965 | 4.66% | |
0.0645 | 10.07% | |
0.0713 | 1.71% | |
0.001365 | -2.08% | |
0.8261 | 10.50% | |
0.0114 | 46.15% | |
0.00003681 | -5.59% | |
0.0059 | -37.23% | |
0.002537 | 26.79% | |
0.0008241 | -1.35% | |
0.000000000652 | 3.16% | |
0.2710 | 5.37% | |
0.00771 | -1.41% | |
0.01882 | 2.62% | |
1.627 | 2.91% | |
0.0632 | 4.12% | |
0.0003722 | 2.08% | |
0.003074 | 5.96% | |
0.000001975 | 10.46% | |
1.608 | 5.10% | |
0.07936 | 6.64% | |
0.01290 | -0.31% | |
0.0445 | -11.88% | |
0.001900 | 9.83% | |
0.0001350 | -36.74% | |
0.00013 | 0.00% | |
0.000034 | 25.93% | |
0.1855 | 14.36% | |
0.0447 | 5.92% | |
0.0694 | 8.27% | |
0.000451 | 5.87% | |
0.00384 | 17.43% | |
0.000076 | 0.00% | |
0.001552 | -1.83% | |
0.0000717 | -63.97% | |
0.0002729 | 0.70% | |
0.0158 | 2.60% | |
0.0313 | 7.56% | |
0.002255 | 8.05% | |
0.009358 | 2.52% | |
0.575 | 7.08% | |
0.0110 | -17.29% | |
0.0000148 | -34.51% | |
0.1400 | 0.00% | |
0.1720 | -0.29% | |
0.0234 | 7.34% | |
0.000442 | 8.87% | |
0.0005220 | 10.27% | |
0.0573 | 9.98% | |
0.00001755 | 6.36% | |
0.00153 | -10.00% | |
0.0160 | 2.56% | |
0.2364 | 8.59% | |
0.000034 | -2.86% | |
0.000663 | 22.32% | |
0.004857 | 30.99% | |
0.0000002033 | 15.91% | |
0.807 | 8.47% | |
0.0488 | 6.78% | |
0.0000056 | -38.46% | |
0.01139 | 1.06% | |
0.0000006638 | 0.84% | |
0.000014 | 27.27% | |
0.00410000 | 13.89% | |
0.000000000000672 | 5.83% | |
0.00156 | 3.31% | |
0.00010 | 11.11% | |
0.01512 | 6.33% | |
0.0076 | 15.15% | |
0.2180 | 6.86% | |
0.561 | 5.06% | |
0.0253 | -0.78% | |
4160.01 | 0.00% | |
0.1208 | 9.82% | |
0.311 | -15.72% | |
0.00000000000090 | -2.17% | |
0.00522 | 3.78% | |
0.04010 | 0.88% | |
0.01173 | 5.58% | |
0.0917 | 4.32% | |
0.002574 | 7.07% | |
0.00000000000049 | -2.00% | |
0.00000000001057 | -23.85% | |
5.949 | 2.68% | |
0.00535 | 9.41% | |
0.0003566 | 5.75% | |
0.00002501 | 4.21% | |
0.01168 | 15.53% | |
0.0001 | 0.00% | |
0.0404 | 12.22% | |
0.2135 | 7.88% | |
0.000743 | 7.99% | |
0.4820 | 0.00% | |
0.04070 | 6.10% | |
0.0009 | 0.00% | |
0.000450 | 0.00% | |
4.81 | 4.57% | |
0.0000000000000142 | 4.41% | |
0.0000009 | 50.00% | |
0.2274 | 10.01% | |
0.4792 | 8.29% | |
0.3483 | 2.50% | |
0.1648 | 6.60% | |
0.02038 | 4.46% | |
0.2051 | 5.23% | |
0.878 | 5.66% | |
0.0000086 | 8.86% | |
0.0000498 | 0.81% | |
0.00019 | -66.07% | |
0.00050 | -76.19% | |
0.00100 | -2.91% | |
0.0083 | -11.70% | |
0.000081 | 8.00% | |
0.000000000744 | -0.93% | |
0.000000000383 | -33.85% | |
0.00014001 | -17.64% | |
0.00000025283 | 59.01% | |
0.00000000000990 | 0.10% | |
0.0002234 | 2.71% | |
0.003849 | 7.45% | |
0.0173 | 4.22% | |
0.001330 | -14.36% | |
0.00769 | 5.49% | |
11.2001 | 21.74% | |
0.00326 | 0.00% | |
0.0002100 | 0.00% | |
43.10 | 5.15% | |
0.00000246 | 9.33% | |
0.00000000001387 | 15.58% | |
0.5997 | -0.02% | |
0.0088 | -15.38% | |
0.000483 | 10.78% | |
0.1105 | 7.49% | |
0.000048 | 0.00% | |
0.00013049 | 0.00% | |
0.0550 | 9.34% | |
0.0598 | 5.84% | |
0.0002454 | 1.74% | |
0.00000000000904 | 0.11% | |
0.00000336 | 10.16% | |
0.000712 | -3.26% | |
0.0650 | 0.00% | |
0.000001521 | -5.47% | |
0.001350 | 11.11% | |
0.000244 | -0.81% | |
0.00000000000206 | -0.96% | |
0.000999 | 0.00% | |
0.0000000030026 | 0.02% | |
0.00027 | 0.00% | |
0.1135 | 8.61% | |
0.0168 | 14.29% | |
0.1467 | 4.71% | |
0.0000108 | -0.92% | |
1.009 | -7.52% | |
0.001000 | 0.00% | |
0.1171 | -0.09% | |
0.00113 | 0.00% | |
0.0026 | -13.33% | |
0.00000000016202 | 0.00% | |
0.999 | 7.77% | |
0.01077 | -0.74% | |
0.003633 | 14.90% | |
0.000540 | 17.39% | |
0.000085 | -4.49% | |
0.000052 | 1.96% | |
0.000401 | -5.20% | |
0.0215 | 8.59% | |
0.639 | 42.00% | |
0.000299 | -0.33% | |
0.00988 | 5.33% | |
0.000000001175 | 0.09% | |
0.000000000018 | 50.00% | |
0.00000000000393 | 0.00% | |
0.0000164 | 0.00% | |
0.002200 | 0.00% | |
0.1014 | -0.69% | |
0.000573 | 6.11% | |
0.000960 | 4.35% | |
18.4780 | 0.00% | |
0.00000000000019 | -9.52% | |
0.000000000099 | 15.12% | |
0.472 | 4.42% | |
0.000000000783 | 3.03% | |
0.0060 | -34.07% | |
0.000027 | 0.00% | |
0.0000323 | 0.00% | |
0.0003400 | -0.29% | |
0.000011 | -35.29% | |
0.1840 | 3.55% | |
0.0000190 | 0.00% | |
0.000000000227 | 0.00% | |
0.000044 | 46.67% | |
0.0000192 | 0.00% | |
0.0004 | 0.00% | |
0.00000009 | 0.00% | |
0.00006 | -14.29% | |
0.0004324 | 5.98% | |
0.4649 | -6.16% | |
0.0582 | 7.38% | |
0.01266 | 5.15% | |
0.05744 | 3.53% | |
0.00738 | 9.01% | |
0.001369 | 12.12% | |
0.1539 | 11.12% | |
0.01809 | -1.04% | |
58.5600 | 0.00% | |
0.03237 | 19.23% | |
0.0001450 | -0.07% | |
0.0295 | -4.22% | |
0.1905 | 8.12% | |
15.424 | 6.48% | |
0.0002996 | 0.00% | |
0.0172 | 0.00% | |
0.05324 | 7.69% | |
0.001106 | 19.31% | |
0.0009012 | 0.00% | |
0.001714 | 0.76% | |
0.003198 | 0.72% | |
0.0238 | 3.48% | |
0.0007993 | 0.00% | |
0.03665 | 12.29% | |
0.1868 | -1.63% | |
0.0000570 | 0.00% | |
0.001411 | 1.36% | |
0.01348 | 5.56% | |
0.03572 | 19.35% | |
0.01589 | -1.97% | |
0.2222 | 5.66% | |
0.001881 | 3.01% | |
0.0013 | 0.00% | |
0.000720 | 4.35% | |
0.0004839 | 4.69% | |
0.0701 | 8.01% | |
0.4202 | 4.71% | |
0.00577 | 13.14% | |
0.000359 | -4.52% | |
0.0816 | 0.99% | |
0.0989 | 10.01% | |
0.0374 | 15.43% | |
0.0780 | 4.98% | |
0.00710 | 15.45% | |
0.1185 | 4.68% | |
2.4011 | 0.00% | |
0.0906 | 8.50% | |
0.1275 | 10.01% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.0503 | 7.02% | |
0.0415 | 6.14% | |
2.295 | 4.75% | |
0.000000024 | 0.00% | |
0.0001320 | 0.00% | |
0.05787 | 2.93% | |
0.5227 | 7.97% | |
0.2166 | 0.00% | |
0.001029 | 6.41% | |
0.1391 | 10.66% | |
0.00000000003311 | -1.34% | |
0.00006800 | 0.00% | |
0.000201 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0496 | 6.21% | |
0.673 | 6.66% | |
0.000078 | -2.50% | |
0.01866 | 7.30% | |
0.4424 | 0.00% | |
0.04161 | 8.84% | |
0.9747 | 0.00% | |
0.0073 | 0.00% | |
0.01309 | 7.56% | |
0.000210 | 0.00% | |
1.693 | 8.87% | |
0.0337 | 7.67% | |
0.003194 | 7.72% | |
0.000451 | 0.00% | |
0.150000 | 0.00% | |
0.000000002321 | -0.26% | |
0.000155404 | 8.81% | |
0.00000041 | 0.00% | |
0.1204 | 0.00% | |
0.0826 | 4.69% | |
0.004000 | 0.00% | |
0.00035 | 0.00% | |
0.000000037 | -2.63% | |
0.00100 | 0.00% | |
0.005850 | 0.00% | |
0.0000149 | -22.80% | |
0.9900 | 0.00% | |
0.001100 | 0.00% | |
0.000239 | -14.34% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001014 | 0.00% | |
0.00020017 | 0.00% | |
0.00011 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.2507 | -0.52% | |
0.001003 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.000580 | 0.00% | |
0.003460 | 0.00% | |
0.00000000038 | 0.00% | |
0.00000101 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000006 | 0.00% | |
0.00000000001407 | 0.00% | |
0.001000 | 0.00% | |
0.0000000106 | 0.00% | |
0.0000000038 | 0.00% | |
0.00022 | -4.35% | |
0.000000008399 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.9900 | 0.00% | |
0.0055 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000000000102 | 0.00% | |
0.00000011 | 0.00% | |
0.001000 | 0.00% | |
0.000043 | 0.00% | |
1.6799 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.000112 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000083 | 0.00% | |
0.2500 | 0.00% | |
0.00006767 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00167 | 0.00% | |
0.0195 | 0.00% | |
0.05056 | 0.00% | |
0.00200 | 0.00% | |
0.00012 | 0.00% | |
0.000028 | 0.00% | |
0.001234 | 0.00% | |
0.002151 | 0.00% | |
0.0198 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.016426 | 0.00% | |
0.9900 | 0.00% | |
0.0000111 | 0.00% | |
0.00002909 | 0.00% | |
0.006490 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.00010000 | 0.00% | |
0.03475 | 0.00% | |
0.0207 | 0.00% | |
0.0006 | 0.00% | |
0.0786 | 0.00% | |
0.001107 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000025 | 0.00% | |
0.001801 | 0.00% | |
0.000623 | 0.00% | |
0.0200 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
3.7189 | 0.00% | |
0.002988 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.00007987 | 0.00% | |
0.0112 | 0.00% | |
0.053000 | 0.00% | |
0.0011 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.005499 | 0.00% | |
0.001120 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.000106 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.001835 | -2.50% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000199 | 0.00% | |
0.0005 | 0.00% | |
0.000258 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.0000450 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.00489 | 0.00% | |
0.0089 | 0.00% | |
0.0383 | 0.00% | |
0.003757 | -3.62% | |
1.76670591 | 0.00% | |
0.0005 | 0.00% | |
0.0020 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.6700 | 0.00% | |
0.00007 | 0.00% | |
0.000816 | 0.00% | |
0.0103 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.0014 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.0650 | 0.00% | |
0.00277 | 0.00% | |
0.0082 | 0.00% | |
1.0100 | 0.00% | |
0.010200 | 0.00% | |
0.0055 | 0.00% | |
0.88686 | 0.00% | |
0.00114 | 0.00% | |
0.06255 | 0.00% | |
0.000561 | 0.00% | |
0.00550 | 0.00% | |
0.03572 | 0.00% | |
0.01463 | 0.00% | |
0.0000083 | 1.22% | |
0.00614 | 0.00% | |
0.04890 | 0.00% | |
0.4521 | 0.00% | |
0.001800 | 0.00% | |
0.00000000066 | 6.45% | |
0.000001000 | 0.00% | |
0.0000008 | 0.00% | |
1.3493 | 3.13% | |
0.00390 | 0.00% | |
0.0000186 | 0.00% | |
0.0000325 | 0.00% | |
0.00000236 | 0.00% | |
1.0000 | 0.00% | |
0.00436 | 0.00% | |
0.34150 | 0.00% | |
0.1190 | 0.00% | |
0.001021 | 0.00% | |
0.000000005 | 0.00% | |
0.001200 | 0.00% | |
0.00578 | 0.00% | |
0.00704 | 0.00% | |
0.00095 | 0.00% | |
0.000313 | 0.00% | |
0.0007000 | 0.00% | |
0.00000052 | 1.96% | |
0.00200 | 0.00% | |
0.000000000328 | 0.00% | |
0.00000015000 | 0.00% | |
0.0900 | 0.00% | |
0.000506 | 0.00% | |
0.005225 | 0.00% | |
0.00150 | 0.00% | |
0.00070 | 0.00% | |
0.008000 | 0.00% | |
700.00 | 0.00% | |
0.0000000500 | 0.00% | |
0.001000 | 0.00% | |
0.000426832 | 0.00% | |
0.00639 | 0.00% | |
0.0809 | 0.00% | |
0.0000560 | 0.00% | |
0.1197 | 0.00% | |
0.0031611 | 0.00% | |
0.000510 | 0.00% | |
0.00200 | 0.00% | |
0.001700 | 0.00% | |
0.3101 | 0.00% | |
0.4450 | 0.00% | |
0.00179 | 0.00% | |
0.000541 | 0.00% | |
0.00268 | 0.00% | |
1899.00 | 0.00% | |
0.250 | 0.00% | |
0.679 | 7.27% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.0409 | 5.68% | |
0.02676 | 7.64% | |
0.00500 | 0.00% | |
16.49 | 0.00% | |
0.00538 | 0.00% | |
0.4049 | 4.06% | |
0.241 | 9.55% | |
0.0014 | -6.67% | |
0.828 | -17.28% | |
0.0091 | 0.00% | |
0.445 | 3.73% |