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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0.05670 | -6.90% | |
0.0097 | 10.23% | |
0.3728 | -1.32% | |
0.000004944 | 0.02% | |
4.1458 | 2.42% | |
0.3607 | -0.06% | |
0.00252 | -1.95% | |
13.58 | -3.07% | |
0.005588 | -17.76% | |
0.005523 | -0.58% | |
0.007817 | -9.70% | |
0.7184 | 0.04% | |
0.000006974 | 0.09% | |
0.00007641 | 50.77% | |
0.001275 | -2.22% | |
0.0001002 | 0.70% | |
0.61830 | 0.51% | |
0.047238 | 37.63% | |
0.002551 | -0.04% | |
0.002414 | -0.37% | |
1.798 | 0.50% | |
0.00242 | 0.00% | |
0.027213 | 11.46% | |
0.0515 | -0.77% | |
0.0001000 | 0.20% | |
0.007537 | 38.45% | |
0.000000023444 | 29.39% | |
0.000007960 | 27.65% | |
0.750 | -3.85% | |
0.01794 | 10.20% | |
0.0055 | -8.33% | |
0.00024198 | -6.51% | |
0.02038 | -2.77% | |
0.00012795 | -22.45% | |
0.000273902 | -0.07% | |
0.017718 | -1.54% | |
0.000818 | -0.24% | |
1728 | 1.59% | |
0.01325 | -3.50% | |
0.9998 | 0.05% | |
0.08472 | -3.22% | |
0.2334 | 1.48% | |
0.8590 | 0.01% | |
8.197 | 8.84% | |
0.006461 | -0.15% | |
0.2734 | -2.32% | |
0.02456 | 3.63% | |
0.0017 | 0.00% | |
0.1761 | 8.30% | |
0.00014181 | -4.93% | |
0.01608 | -5.41% | |
212.800 | -0.81% | |
0.736 | -4.04% | |
0.2191 | -15.73% | |
0.02205 | -0.68% | |
0.0000989 | -0.90% | |
0.0000001595 | -2.09% | |
0.001557 | 0.06% | |
34.1356 | 0.32% | |
0.00058 | 0.00% | |
0.01667 | -0.18% | |
0.01598 | -2.44% | |
0.000000000779 | 5.84% | |
3.2326 | 0.45% | |
0.02431 | 1.29% | |
0.05230 | 7.11% | |
0.00330 | -4.62% | |
0.017338 | 2.89% | |
0.02988 | 6.75% | |
0.4669 | 0.52% | |
0.07204 | -1.84% | |
0.03079 | 1.58% | |
0.3463 | -2.45% | |
1.7023 | 0.77% | |
0.0618 | -0.16% | |
0.0000817 | 0.99% | |
0.0096 | -36.84% | |
0.0065 | 3.17% | |
0.00008191 | -3.12% | |
0.09834 | 0.14% | |
0.2778 | -1.10% | |
106.2891 | -0.33% | |
0.010285 | -2.11% | |
0.1100 | 7.84% | |
0.756 | -0.26% | |
0.00979 | -5.41% | |
2.1111 | 0.00% | |
0.000124 | -0.80% | |
0.00091162 | 4.03% | |
0.8649 | -0.30% | |
0.01700 | 0.00% | |
0.0585 | -0.85% | |
0.00000030 | 0.00% | |
0.0009371 | -2.24% | |
0.1232 | 0.00% | |
0.01654 | 0.06% | |
0.0006752 | 13.84% | |
0.000140 | 8.53% | |
0.000920 | 2.22% | |
0.03591 | -2.74% | |
3.2580 | 0.31% | |
5.378 | 2.01% | |
0.00000000012164 | -2.38% | |
0.6984 | 0.00% | |
1.6081 | 0.12% | |
0.99114 | -5.63% | |
0.0107 | -0.93% | |
0.004084 | -1.71% | |
0.000000000312 | -0.32% | |
0.00007244 | -2.09% | |
0.0000229 | -1.29% | |
112.5842 | 0.00% | |
0.00013501 | -8.68% | |
0.00005900 | -1.26% | |
0.000054 | 1.89% | |
1.7624 | 0.12% | |
0.000000001334 | -2.13% | |
0.2525 | -3.99% | |
0.010535 | -1.59% | |
0.000586 | -1.68% | |
0.0042290 | -0.07% | |
0.1115 | -1.33% | |
0.00001514 | -2.89% | |
0.609 | -2.72% | |
0.13273 | -2.35% | |
0.2095 | -2.78% | |
0.000945 | 39.59% | |
0.018137 | -0.08% | |
0.001500 | -0.20% | |
3.3032 | 0.06% | |
0.1177 | 1.20% | |
4.9182 | -0.58% | |
0.000457 | 0.88% | |
0.00194 | -3.00% | |
0.07187 | -3.92% | |
0.00455 | 1.79% | |
0.000804 | -0.25% | |
0.005136 | 18.97% | |
7.2400 | -0.82% | |
0.000640 | 6.67% | |
0.0000000034 | -2.86% | |
0.6429 | -1.26% | |
0.000133 | -8.28% | |
0.4940 | -0.22% | |
0.03097 | -2.15% | |
0.0000723 | -6.59% | |
86.73 | -1.73% | |
0.1706 | -81.23% | |
0.00000000183 | -4.19% | |
0.002305 | 5.35% | |
0.000489 | 0.00% | |
0.05188 | 0.21% | |
3332.31 | -0.09% | |
0.000000045088 | 1.34% | |
0.001169 | 7.25% | |
0.0938 | -1.99% | |
0.01041 | 1.36% | |
0.0002200 | -0.27% | |
3.3320 | -4.78% | |
0.001070 | -2.55% | |
0.1865 | -2.46% | |
0.03445 | 33.17% | |
0.000054 | -5.26% | |
252.39 | -0.68% | |
0.019970 | 0.01% | |
0.00000003485 | -2.63% | |
0.00005 | -16.67% | |
0.00122 | 11.93% | |
0.00018 | 0.00% | |
0.01167 | 31.72% | |
0.000007810 | -2.62% | |
5.257 | 3.93% | |
0.6451 | 3.10% | |
2.477 | -1.12% | |
0.4941 | -0.70% | |
0.01542 | 15.59% | |
0.001141 | -1.38% | |
0.180111 | 7.34% | |
0.00141 | -8.44% | |
13.55 | -6.42% | |
0.05497 | -1.35% | |
0.00004335 | 0.16% | |
0.08790 | -4.71% | |
0.00000012532 | -3.86% | |
6.228 | 1.24% | |
0.28539 | 5.84% | |
1.3300 | 32.73% | |
0.00514 | 31.79% | |
0.000114 | 0.00% | |
0.8231 | -1.59% | |
0.1183 | -6.85% | |
0.011478 | 2.58% | |
0.007886 | -1.74% | |
0.002608 | -11.92% | |
0.3372 | 9.52% | |
0.03640 | 5.66% | |
12.98 | 2.61% | |
0.005574 | -20.58% | |
0.00017565 | 4.87% | |
0.00245 | -3.54% | |
1.1696 | 4.93% | |
0.00767 | -10.81% | |
1.2172 | 1.98% | |
0.02963 | -6.03% | |
0.4331 | -1.01% | |
0.001417 | 11.84% | |
0.00003335 | -1.33% | |
0.0812 | 4.77% | |
0.00009905 | -2.04% | |
0.0807 | -4.50% | |
0.08331 | -6.00% | |
0.00000416 | -8.97% | |
0.001820 | -3.96% | |
0.02088 | -0.71% | |
1.7603 | -4.81% | |
0.5303 | -1.63% | |
0.00003589 | 0.42% | |
0.3005 | 5.74% | |
0.002541 | 0.75% | |
0.1872 | -2.70% | |
0.03562 | -3.21% | |
4.67 | -1.48% | |
0.0000648 | 0.31% | |
0.080520 | 0.08% | |
0.00091 | 9.64% | |
0.6056 | -1.22% | |
8.33 | -2.34% | |
0.806 | -0.37% | |
15.95 | -2.33% | |
0.000480 | -4.38% | |
0.00909 | -0.55% | |
0.000106 | 0.00% | |
0.000000635 | -7.84% | |
0.05108 | 108.49% | |
0.0001471 | -1.93% | |
0.0956 | -0.62% | |
0.007930 | -14.32% | |
0.261 | -3.69% | |
0.000207 | -10.39% | |
0.5040 | -2.68% | |
0.000001417 | 2.38% | |
0.00167 | 1.21% | |
0.002251 | -0.27% | |
0.03999 | 0.48% | |
0.4720 | -1.11% | |
0.0013294 | 0.09% | |
0.0000287 | 10.38% | |
0.003939 | -24.55% | |
2.084 | -4.27% | |
0.2655 | 0.00% | |
0.05402 | -6.94% | |
0.00726 | 19.60% | |
0.00366 | 7.96% | |
34.99 | 3.37% | |
0.010485 | -10.95% | |
0.000000001200 | 0.00% | |
0.03043 | -1.14% | |
3.800 | -2.56% | |
18.3288 | 0.16% | |
0.01357 | -0.07% | |
0.00916 | 17.44% | |
0.000261 | 0.38% | |
0.000001300 | 0.85% | |
0.16666 | -1.37% | |
0.74077 | -0.08% | |
0.0003587 | 25.38% | |
0.002222 | 9.40% | |
0.0000008465 | -0.79% | |
0.00004085 | 28.06% | |
0.001077 | -1.37% | |
0.0719 | -2.31% | |
0.0190 | -3.55% | |
0.00252 | -51.72% | |
0.0995 | 0.51% | |
0.003962 | -5.26% | |
0.001908 | -1.80% | |
0.000405 | -18.67% | |
0.000003900 | 5.78% | |
0.855 | -6.04% | |
0.2027 | -0.78% | |
0.01737 | -3.29% | |
0.0015041 | -7.14% | |
0.1236 | -3.59% | |
0.19638 | -0.23% | |
0.000658 | -37.75% | |
0.004405 | 20.59% | |
0.000819 | 22.24% | |
0.0050 | -12.28% | |
0.000001165 | 4.02% | |
0.00014 | 0.00% | |
0.0000172 | 2.38% | |
0.001904 | -1.60% | |
0.0988 | -1.20% | |
0.000355 | 6.61% | |
0.0221 | -2.64% | |
33.7616 | 2.56% | |
0.4397 | -0.07% | |
0.0908 | -2.26% | |
15.03 | -2.72% | |
0.002287 | 2.46% | |
0.009977 | 4.49% | |
0.01570 | -2.79% | |
0.001778 | -2.74% | |
0.002819 | 9.95% | |
48.33 | 5.45% | |
0.01306 | -9.87% | |
0.2471 | 0.90% | |
0.9310 | -5.23% | |
10.656 | 2.15% | |
1.996 | -1.09% | |
1.129 | -3.42% | |
0.05072 | -3.79% | |
0.003058 | -3.26% | |
1.273 | -0.24% | |
0.002389 | 4.01% | |
0.0174491 | 0.11% | |
0.000078 | -29.73% | |
0.1725 | -2.71% | |
1.291 | 8.03% | |
0.000157 | -7.65% | |
2.346 | -0.51% | |
0.001298 | -10.79% | |
0.00441 | 24.93% | |
0.5515 | 3.01% | |
0.0607 | -5.16% | |
0.09798 | -0.02% | |
0.0394 | 0.00% | |
0.02654 | 15.09% | |
10.45 | -1.69% | |
0.01990 | -1.92% | |
1.2602 | -4.86% | |
0.000327 | -0.30% | |
0.010038 | -3.48% | |
0.00002026 | 13.82% | |
374.0 | -1.42% | |
0.648 | -1.07% | |
0.003893 | -9.38% | |
0.0062 | -20.51% | |
0.0020329 | 3.02% | |
0.01400 | -1.13% | |
0.00216 | 0.00% | |
0.0003497 | 2.91% | |
0.003509 | -4.78% | |
0.014281 | 1.53% | |
0.000893 | 12.47% | |
0.01617 | -5.99% | |
0.000000129 | -18.87% | |
0.0494 | -2.56% | |
0.006620 | -2.60% | |
0.003030 | -3.63% | |
0.00019189 | -32.20% | |
0.2054 | -5.74% | |
0.02479 | -1.04% | |
2.0684 | -4.50% | |
0.03265 | 0.43% | |
0.00748 | -0.27% | |
0.001761 | -3.72% | |
0.0403 | -5.40% | |
0.00000004331 | -3.22% | |
0.004433 | -1.18% | |
0.005675 | 11.93% | |
0.0004073 | -3.55% | |
0.0255 | -3.77% | |
0.002381 | 13.54% | |
0.2297 | -2.71% | |
0.002243 | -3.61% | |
0.002255 | -25.21% | |
410.2 | 0.56% | |
0.003028 | 1.54% | |
0.001075 | 1.99% | |
0.147709 | -1.09% | |
0.012381 | 24.34% | |
0.1687 | -6.28% | |
0.004183 | -1.23% | |
0.000479 | 18.56% | |
0.005740 | -3.50% | |
0.001139 | 2.71% | |
1.3405 | -4.56% | |
0.05361 | -8.19% | |
0.001776 | 0.06% | |
0.00002302 | 0.61% | |
0.0802 | 4.02% | |
0.00742 | -32.85% | |
0.2477 | -7.09% | |
0.0000000000880 | -1.12% | |
0.003273 | 2.89% | |
0.0000003791 | 5.25% | |
0.00003871 | -3.15% | |
0.1946 | -0.36% | |
0.05408 | -2.77% | |
0.00000242 | -3.20% | |
0.03313 | 1.31% | |
0.6440 | -2.01% | |
0.3100 | -0.32% | |
0.01906 | -1.85% | |
4.009 | -1.18% | |
0.001439 | 2.64% | |
0.000180 | 41.73% | |
0.02178 | 0.23% | |
0.013276 | -12.89% | |
0.003036 | 4.08% | |
0.000240 | 18.81% | |
0.02385 | -2.53% | |
0.1295 | -2.12% | |
0.1166 | -4.11% | |
0.001885 | 18.93% | |
16.2850 | -0.04% | |
0.12017 | -0.05% | |
0.0000000349 | 1.75% | |
0.00907 | 2.49% | |
0.00614 | -2.54% | |
0.2723 | 1.11% | |
0.3710 | -1.72% | |
5.704 | -1.67% | |
0.000889 | -2.20% | |
0.029552 | 5.60% | |
0.1704 | -0.93% | |
0.2859 | 0.32% | |
0.03655 | -3.41% | |
0.3009 | -1.51% | |
0.00302 | -16.11% | |
0.007326 | 0.25% | |
0.15216 | -3.17% | |
0.0597 | -4.48% | |
0.1289 | 1.50% | |
0.0005155 | -1.60% | |
0.00167 | -7.22% | |
0.1763 | 1.56% | |
0.00000675 | -0.44% | |
0.1063 | -1.30% | |
4.213 | -2.16% | |
0.851 | -2.85% | |
5.96 | -1.81% | |
0.0644 | -1.98% | |
0.0530 | -3.46% | |
44.99 | -1.06% | |
0.1616 | 1.76% | |
0.4475 | -4.67% | |
5.3100 | -0.19% | |
0.00230 | -2.13% | |
0.0294 | 0.68% | |
0.003470 | -0.37% | |
0.7497 | -3.86% | |
0.04836 | -4.88% | |
0.36982 | -1.73% | |
0.2598 | -3.35% | |
0.1743 | -1.91% | |
0.517 | -0.58% | |
0.0001790 | -9.55% | |
0.009501 | -3.61% | |
0.03748 | -2.19% | |
0.000830 | -3.49% | |
0.018142 | 3.58% | |
0.2316 | -2.36% | |
0.2075 | -0.24% | |
0.004624 | -4.70% | |
0.0000511 | 0.99% | |
0.2342 | -1.10% | |
0.01146 | -0.78% | |
0.01455 | 2.39% | |
0.0254 | -3.05% | |
0.0054 | 5.88% | |
0.20634 | -5.50% | |
0.5191 | 0.54% | |
0.03467 | -4.36% | |
2.8024 | 1.59% | |
0.637 | -2.90% | |
0.00003006 | 0.64% | |
0.01786 | 2.88% | |
0.7988 | 0.34% | |
0.00001989 | -25.92% | |
0.0000267036 | 7.15% | |
0.003865 | -1.73% | |
0.0459 | -5.56% | |
0.0666 | -1.19% | |
0.3861 | 0.03% | |
0.009000 | 0.00% | |
0.0564 | -0.88% | |
0.6291 | -1.33% | |
0.0007000 | -6.67% | |
0.1997 | -1.43% | |
0.00002124 | -0.19% | |
0.002090 | 5.56% | |
0.000800 | 14.61% | |
0.0906 | -0.55% | |
0.002560 | -36.96% | |
0.000590 | 65.73% | |
0.01775 | -1.39% | |
0.00001 | -50.00% | |
0.0879 | -0.11% | |
0.001814 | 1.06% | |
0.0259 | -1.89% | |
0.0000006850 | 1.59% | |
0.000686 | -4.99% | |
2.330 | -2.31% | |
0.033799 | -2.37% | |
0.004300 | -2.14% | |
0.02189 | -4.20% | |
0.00660 | -3.93% | |
0.1442 | -4.69% | |
0.002479 | 1.27% | |
0.03109 | -3.81% | |
0.003681 | 3.49% | |
0.1962 | -1.41% | |
0.03687 | -4.73% | |
0.3992 | -1.07% | |
0.00540 | -3.57% | |
0.0720 | -4.38% | |
0.1000 | -4.49% | |
0.02289 | -1.84% | |
0.0000000475 | 4.40% | |
0.002008 | -1.03% | |
1.3336 | 0.20% | |
0.509 | -2.30% | |
0.1773 | -1.88% | |
0.05070 | 7.07% | |
0.706 | 1.15% | |
0.4861 | -3.84% | |
0.00161517 | 0.40% | |
0.000718 | -3.88% | |
0.00886 | 29.34% | |
0.00756 | -1.69% | |
0.3630 | -3.84% | |
0.0622 | -3.27% | |
2.134 | -3.70% | |
0.3661 | -3.07% | |
0.000000000828 | 1.72% | |
0.02620 | -1.65% | |
0.0000014218 | -1.94% | |
0.00594 | 0.34% | |
0.00003312 | -2.42% | |
0.00000000620 | -5.92% | |
0.000000001856 | -3.68% | |
0.0000757 | 0.00% | |
0.002000 | 17.65% | |
0.1296 | 1.49% | |
0.0572 | -2.05% | |
0.14732 | -4.19% | |
0.7443 | -0.23% | |
0.0827 | -1.55% | |
0.00550 | -26.96% | |
0.0000000000000632 | 14.49% | |
32.03 | 14.52% | |
0.1804 | -0.61% | |
0.0015 | 7.14% | |
0.001473 | -4.29% | |
0.024350 | -2.06% | |
0.04799 | -6.45% | |
0.000674 | -2.32% | |
0.005835 | 2.12% | |
0.0002967 | -4.72% | |
0.000946 | -2.07% | |
0.01105 | -9.72% | |
0.279 | -2.45% | |
2.7391 | -1.78% | |
0.0400 | -1.72% | |
0.001154 | -5.95% | |
0.00007143 | -0.85% | |
1.817 | -1.78% | |
0.000585 | -0.51% | |
0.00446 | -9.72% | |
0.03621 | -4.31% | |
0.01718 | 126.05% | |
0.004358 | -1.22% | |
0.13462 | 2.36% | |
0.001310 | -1.28% | |
0.2116 | 2.12% | |
0.0003048 | 11.20% | |
11.16 | 3.53% | |
0.003842 | 6.02% | |
7.345 | -3.30% | |
0.0742 | -3.76% | |
0.00556 | 0.00% | |
0.51499 | 3.58% | |
0.002801 | -4.21% | |
0.0420 | -3.67% | |
0.001806 | -32.49% | |
6.21 | -0.16% | |
0.5596 | -1.65% | |
0.000000000003950 | -8.14% | |
0.41497 | 0.33% | |
0.000737 | 5.44% | |
0.2886 | -0.48% | |
0.1658 | -0.24% | |
0.0008999 | -4.30% | |
0.000177 | -1.12% | |
0.001691 | 6.29% | |
0.1421 | -0.77% | |
0.000090 | 0.00% | |
0.0001520 | -38.93% | |
0.002452 | -4.89% | |
3.9828 | -2.08% | |
0.0000000012725 | -4.95% | |
0.02766 | 1.92% | |
0.000000000907 | 6.46% | |
0.1065 | -3.62% | |
0.002377 | -10.61% | |
0.000000000234 | 1.74% | |
0.227 | -0.87% | |
0.06186 | -1.34% | |
0.0000033 | -8.33% | |
0.1156 | -2.78% | |
0.00460 | -2.13% | |
113.85 | -1.88% | |
0.00219 | -0.90% | |
0.0000000360 | 4.35% | |
0.04229 | -0.21% | |
0.005300 | 0.02% | |
0.003977 | -1.68% | |
0.3056 | -2.52% | |
0.0274 | -0.72% | |
3410.00 | -1.73% | |
0.0563 | -0.88% | |
0.0482 | -2.43% | |
0.0000521 | 0.19% | |
0.4879 | -0.02% | |
0.02300 | 0.00% | |
0.0027 | 22.73% | |
0.1242 | -3.65% | |
0.04099 | -0.29% | |
0.04149 | 4.48% | |
0.1744 | -2.35% | |
0.02124 | -1.26% | |
0.000616 | -2.38% | |
0.00000004170 | -2.00% | |
0.3793 | -2.47% | |
0.1374 | -3.58% | |
0.0484 | -2.02% | |
178.7599 | -2.46% | |
0.028328 | 0.50% | |
0.00677 | -9.13% | |
0.000231 | -2.53% | |
0.0506 | -1.36% | |
0.5640 | -0.81% | |
0.00321 | -28.67% | |
0.000768 | 36.65% | |
0.0422 | -19.31% | |
0.008782 | -4.70% | |
0.03593 | 2.89% | |
9.069 | 0.01% | |
0.001279 | -2.74% | |
0.2326 | -0.68% | |
0.001675 | 8.06% | |
0.09701 | -0.44% | |
0.02711 | 1.12% | |
0.001408 | 1.29% | |
0.000839 | -0.24% | |
0.05726 | 1.69% | |
0.0958 | -1.74% | |
0.1273 | -2.75% | |
0.000192 | 4.92% | |
0.001645 | 1.42% | |
0.5419 | -1.49% | |
13.9807 | 0.07% | |
0.02539 | 0.95% | |
0.0971 | -2.02% | |
0.000000002990 | 2.05% | |
0.0006 | 0.00% | |
0.002950 | -3.53% | |
0.4750 | -8.64% | |
0.00000000000010 | -9.09% | |
0.07626 | 7.58% | |
0.004037 | -7.54% | |
0.001312 | -5.54% | |
0.00650 | -3.27% | |
6.135 | -4.32% | |
0.000690 | 43.75% | |
0.01026 | -4.02% | |
0.0000093 | 2.20% | |
0.1600 | -1.90% | |
0.1236 | -3.21% | |
0.0000078 | 0.00% | |
0.0389 | -2.02% | |
0.6548 | -4.14% | |
0.00000000000030 | -11.76% | |
0.003300 | 7.88% | |
0.0005894 | -3.25% | |
0.0000474 | -6.51% | |
0.000174 | 210.71% | |
0.01384 | -0.65% | |
0.431 | 3.11% | |
1.122 | -1.49% | |
0.000027 | -12.90% | |
0.06727 | -0.04% | |
0.2457 | 0.99% | |
15.64 | 0.71% | |
0.00370 | -0.80% | |
0.004069 | 5.33% | |
0.00003070 | -2.20% | |
0.00815 | -2.28% | |
0.01049 | -2.24% | |
0.4895 | 1.24% | |
0.568 | 0.35% | |
0.00000000000543 | 5.64% | |
1.0730 | -4.33% | |
0.00659 | -1.49% | |
0.12046 | -2.63% | |
0.0599 | -3.39% | |
0.00089 | -46.39% | |
0.003275 | 2.12% | |
0.00002035 | -3.60% | |
0.00005183 | -12.23% | |
1.1084 | 3.52% | |
0.0680 | 6.75% | |
0.00856 | -1.72% | |
0.00917 | -1.93% | |
0.02029 | -1.74% | |
0.12133 | -2.73% | |
0.002601 | 0.66% | |
0.002189 | -0.23% | |
0.0180 | 48.76% | |
0.0422 | -1.40% | |
0.003683 | -3.23% | |
0.00018 | 5.88% | |
9.39 | -3.10% | |
0.0000327 | -2.68% | |
1.6324 | -2.21% | |
0.3648 | -2.36% | |
0.001427 | -1.31% | |
0.00140 | 12.00% | |
0.409 | -2.85% | |
0.0375 | -4.34% | |
0.1229 | -4.21% | |
0.000750 | 0.94% | |
0.01248 | 0.24% | |
0.001907 | -12.60% | |
0.005129 | -6.66% | |
11.97 | -1.64% | |
0.000010 | 11.11% | |
0.1455 | -2.87% | |
0.0000001301 | -30.80% | |
0.00000000000631 | -10.75% | |
1.3153 | -1.84% | |
0.00408 | -15.70% | |
0.04338 | -0.66% | |
0.00126 | -3.08% | |
17.09 | -0.81% | |
0.0505 | -1.56% | |
0.0803 | -0.37% | |
0.04532 | -3.90% | |
20.50 | -0.87% | |
0.000059 | -55.64% | |
8.02 | -0.37% | |
0.000691 | -2.40% | |
0.04713 | 0.02% | |
0.004305 | 3.41% | |
0.002073 | -0.10% | |
0.000888 | -3.69% | |
0.00107 | 0.00% | |
0.000091003 | 8.02% | |
23.06 | -2.41% | |
0.05000 | 0.00% | |
0.540 | 0.56% | |
0.04776 | -0.85% | |
0.0001420 | 9.23% | |
0.001400 | -6.35% | |
0.1142 | -1.04% | |
0.00000000001736 | -2.80% | |
0.01436 | -2.18% | |
0.1066 | -3.00% | |
0.005959 | -5.01% | |
0.00008899 | 0.00% | |
0.000370 | 23.33% | |
0.0318 | -4.79% | |
0.03476 | 1.97% | |
0.004048 | -4.46% | |
0.1333 | -2.34% | |
0.03287 | -12.28% | |
0.000000001987 | 3.33% | |
0.0002097 | 43.83% | |
0.000003528 | -0.79% | |
0.00007282 | 0.17% | |
0.00008293 | -0.04% | |
0.2364 | 0.30% | |
0.0026029 | -22.32% | |
0.1780 | -1.87% | |
0.0000008 | -11.11% | |
0.465 | -2.52% | |
0.01026 | 2.91% | |
0.1739 | -3.07% | |
0.002389 | -1.53% | |
0.001196 | 0.17% | |
0.1762 | -0.17% | |
0.00000060 | 46.34% | |
0.009292 | -7.00% | |
0.0001990 | -10.44% | |
0.04460 | 29.31% | |
0.002053 | 19.15% | |
0.00000359 | 18.09% | |
0.9736 | -1.41% | |
0.0231 | -2.12% | |
0.000000000020 | -9.09% | |
0.001620 | -4.31% | |
0.001965 | -4.43% | |
0.00305 | -9.23% | |
2.393 | -2.25% | |
0.05828 | -3.29% | |
0.004808 | -0.83% | |
0.02938 | -4.80% | |
0.00001928 | 0.16% | |
2.9500 | -1.67% | |
0.542 | -3.21% | |
0.007725 | -0.05% | |
0.010261 | -6.39% | |
0.00002 | 0.00% | |
0.000015 | 0.00% | |
0.00000000000200 | -2.44% | |
0.000900 | -0.88% | |
0.360 | -1.64% | |
0.0422 | -2.99% | |
0.0076 | -2.56% | |
0.0158 | -3.66% | |
0.8191 | 0.00% | |
0.01847 | -1.28% | |
0.0972 | -4.80% | |
0.0006 | -25.00% | |
0.0000000188 | 0.53% | |
0.05529 | -2.74% | |
0.00099 | 0.00% | |
0.00002039 | -39.76% | |
0.05247 | -1.50% | |
0.0004 | -55.56% | |
0.147 | 1.38% | |
0.04704 | -1.03% | |
0.01201 | 71.57% | |
0.0850 | 1.92% | |
0.01448 | -1.83% | |
0.000000000022 | 4.76% | |
0.039798 | 32.66% | |
0.016288 | -0.07% | |
0.00000150 | -1.96% | |
2.954 | -0.51% | |
2.794 | -1.34% | |
2.648 | -0.97% | |
0.0000214 | 0.00% | |
0.1730 | -1.76% | |
0.000000065 | 0.00% | |
0.00023 | 0.00% | |
0.02758 | 1.92% | |
0.1081 | -1.10% | |
4.8995 | 39.52% | |
0.0005252 | -0.68% | |
0.0065 | -27.78% | |
0.000239 | -1.65% | |
0.000040 | 0.00% | |
0.0001327 | -21.94% | |
0.2065 | -1.99% | |
0.0000219 | -0.45% | |
0.0001610 | 0.00% | |
0.000016 | -27.27% | |
0.000746 | 0.00% | |
0.00044 | -47.62% | |
0.0025 | 0.00% | |
0.0000007599 | -5.44% | |
0.0010 | -50.00% | |
0.00000000001215 | 1.17% | |
0.000085 | -29.17% | |
0.000076 | -49.33% | |
0.0006 | -25.00% | |
0.000685 | -1.86% | |
0.0591 | 0.85% | |
0.02370 | 2.11% | |
0.0453 | 1.57% | |
0.000600 | -2.91% | |
0.1114 | -4.62% | |
0.3373 | -1.72% | |
0.0545 | -1.45% | |
0.08730 | -2.20% | |
0.00677 | -1.31% | |
0.00001973 | -0.30% | |
0.0005628 | -5.24% | |
0.016203 | 0.00% | |
0.0799 | -2.68% | |
0.01300 | -2.77% | |
0.04419 | -0.99% | |
0.013732 | 3.49% | |
0.03065 | -0.23% | |
0.0801 | 0.00% | |
0.2766 | -4.62% | |
0.001944 | -4.42% | |
0.004165 | -0.31% | |
0.006695 | -4.79% | |
0.002518 | 3.11% | |
0.000948 | -4.24% | |
58.5600 | 0.00% | |
1.3658 | 1.45% | |
0.0001480 | -7.50% | |
0.0626 | -2.49% | |
0.3340 | 0.00% | |
0.006712 | -0.61% | |
0.003456 | -2.32% | |
0.000591 | 0.00% | |
0.0001405 | 0.00% | |
0.1186 | -1.50% | |
0.0267 | 0.00% | |
0.003201 | 2.93% | |
4.1705 | 2.06% | |
0.002193 | 1.76% | |
0.0005221 | 0.00% | |
0.16404 | -1.08% | |
0.0000130 | -2.99% | |
0.00180 | 0.00% | |
0.000070 | 0.00% | |
0.0007993 | 0.00% | |
5.355 | -0.59% | |
0.000648 | -7.30% | |
0.002285 | -10.39% | |
0.002584 | -0.35% | |
0.0000652 | 0.00% | |
0.0000305 | 1.33% | |
0.02909 | -1.82% | |
0.022227 | -3.28% | |
0.000498 | -0.20% | |
0.0916 | 0.00% | |
0.001277 | -3.55% | |
0.00408 | -4.23% | |
0.001851 | 5.35% | |
0.01473 | 18.12% | |
0.14353 | -1.79% | |
0.0552 | -3.16% | |
0.1505 | -0.99% | |
0.218 | -8.40% | |
0.03217 | -8.32% | |
0.000012 | 0.00% | |
0.3722 | -1.25% | |
0.001557 | -2.81% | |
0.05071 | 1.18% | |
1.194 | 2.40% | |
0.0000662 | -1.05% | |
0.000404 | 3.86% | |
0.000028 | 0.00% | |
0.001801 | 0.00% | |
3.8888 | -1.46% | |
7.98 | 0.00% | |
0.04675 | -0.15% | |
0.1805 | -2.38% | |
0.5674 | 3.30% | |
0.000009 | 0.00% | |
0.0252 | -8.03% | |
1.228 | -1.05% | |
0.003477 | 1.67% | |
0.001116 | 0.00% | |
0.03454 | 2.46% | |
0.07118 | -1.89% | |
0.3496 | 0.00% | |
0.0324 | 0.00% | |
0.000057 | 0.00% | |
0.718 | -2.05% | |
1.979 | -2.61% | |
0.000996 | -19.74% | |
0.000233 | 0.00% | |
0.02540 | -5.12% | |
0.1245 | -9.26% | |
0.02284 | -2.31% | |
0.001972 | -0.95% | |
0.00000330 | -2.08% | |
0.00325 | -2.69% | |
2.05 | -1.91% | |
0.002667 | -1.91% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
51.675 | -0.83% | |
0.01175 | -1.01% | |
6.02 | 1.35% | |
18.95 | -1.30% | |
0.04894 | -1.05% | |
0.000000013 | 0.00% | |
0.0000384 | 0.00% | |
0.0980 | -1.31% | |
0.020153 | 4.31% | |
0.004774 | -0.15% | |
0.07531 | 2.13% | |
0.6600 | -0.12% | |
0.0679 | -2.02% | |
0.0299 | 0.00% | |
0.0858 | -2.28% | |
0.00000000015655 | 0.00% | |
0.00000628 | 0.00% | |
0.00000000000033 | 0.00% | |
0.00000000004835 | 0.00% | |
0.0000000040002 | 0.00% | |
0.983 | -1.21% | |
1.2001 | 0.00% | |
3.9889 | 0.00% | |
0.792 | -0.25% | |
0.000082 | 2.50% | |
0.02160 | -0.87% | |
0.4424 | 0.00% | |
0.04474 | -1.19% | |
0.03423 | -2.31% | |
0.9888 | 0.00% | |
0.0071 | 0.00% | |
0.2599 | 0.00% | |
0.00773 | -1.53% | |
0.1173 | -2.66% | |
0.1546 | -3.38% | |
0.1799 | -0.06% | |
0.00000009079 | 0.00% | |
0.7663 | 0.00% | |
0.1204 | 0.00% | |
2.251 | -1.49% | |
0.840 | -0.36% | |
0.002100 | 0.00% | |
0.002204 | 0.00% | |
5.31 | -3.80% | |
0.000300 | 0.00% | |
0.000410 | 0.00% | |
0.00035 | 0.00% | |
0.0093 | 0.00% | |
0.000000031 | 0.00% | |
0.0011 | 0.00% | |
0.00090 | 0.00% | |
0.002609 | 0.00% | |
0.0000138 | 0.00% | |
0.002167 | -0.14% | |
0.0034 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001018 | 0.00% | |
0.00027000 | 0.00% | |
0.00007 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.006887 | 0.00% | |
0.000518 | 0.97% | |
0.001717 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.00013045 | 0.00% | |
0.004300 | 0.00% | |
0.00000000039 | 0.00% | |
0.00000000001101 | 0.00% | |
0.000900 | 0.00% | |
0.0000000114 | 0.00% | |
0.0000000067 | 1.52% | |
0.3344 | 0.00% | |
0.000000000154 | 0.00% | |
0.00004 | 0.00% | |
0.000000003500 | 0.00% | |
0.0000002405 | 10.22% | |
0.000430 | 0.00% | |
0.0083 | -2.35% | |
0.000410 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000000000116 | 0.00% | |
0.00000004 | 0.00% | |
0.00023414 | 0.00% | |
0.001200 | 0.00% | |
0.00000478 | 0.00% | |
1.6799 | 0.00% | |
0.0053038 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.00100 | 0.00% | |
0.00000392 | 0.26% | |
0.2029 | 0.00% | |
0.00006767 | 0.00% | |
0.0038 | 0.00% | |
0.001721 | 0.00% | |
0.05056 | 0.00% | |
0.00005059 | 0.00% | |
0.0000302 | 0.00% | |
0.009700 | 0.00% | |
0.021088 | 0.00% | |
0.0003 | 0.00% | |
0.0006 | 0.00% | |
0.0240 | 0.00% | |
0.015928 | 0.00% | |
0.01593 | -1.18% | |
0.9996 | 0.00% | |
0.000363 | 0.00% | |
0.0048 | 0.00% | |
1.0531 | 0.00% | |
0.03515 | 0.00% | |
0.0786 | 0.00% | |
0.001250 | 0.00% | |
0.001000 | 0.00% | |
0.000281 | 0.00% | |
65.1101 | 0.00% | |
1.019 | -2.21% | |
0.0034 | 0.00% | |
0.0468 | 0.00% | |
0.00005122 | 0.00% | |
0.0004 | 0.00% | |
4.4023 | 0.00% | |
0.0745 | 0.00% | |
0.000939 | 0.32% | |
0.000720 | 0.00% | |
0.3845 | 0.00% | |
0.1757 | 0.00% | |
2.2869 | 0.00% | |
0.00836 | 0.00% | |
0.0043 | 0.00% | |
0.0096 | 0.00% | |
0.000045 | 0.00% | |
1.76670591 | 0.00% | |
1.1005 | 0.00% | |
0.000399 | 0.00% | |
1.950 | 0.00% | |
0.6700 | 0.00% | |
0.000049 | 0.00% | |
0.00003 | 0.00% | |
0.01989 | 0.00% | |
0.0040 | 0.00% | |
0.0012 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.01500 | 0.00% | |
0.00270 | 0.00% | |
0.00716 | 0.00% | |
0.0000565 | 0.00% | |
0.02459 | 0.00% | |
0.0650 | 0.00% | |
0.00199 | 0.00% | |
0.9900 | 0.00% | |
0.010200 | 0.00% | |
0.0070 | 0.00% | |
0.88686 | 0.00% | |
0.00440 | 0.00% | |
0.02524 | 0.00% | |
0.013368 | 0.00% | |
0.06251 | 0.00% | |
0.001296 | 0.00% | |
0.00483 | 0.00% | |
0.1730 | 0.00% | |
0.0164 | 0.00% | |
0.00920 | 0.00% | |
0.04851 | 0.00% | |
0.000001858 | 0.00% | |
0.200 | 0.00% | |
0.000001000 | 0.00% | |
0.00246 | 0.00% | |
105.00 | 0.00% | |
0.0000008 | 0.00% | |
0.00470 | 0.00% | |
0.00290 | 0.00% | |
1.288 | 0.00% | |
0.00234 | 0.00% | |
0.00869 | 0.00% | |
0.5135 | 0.00% | |
0.1700 | 0.00% | |
0.0024 | 0.00% | |
0.00169 | 0.00% | |
0.14368 | 0.00% | |
0.00023806 | 0.00% | |
0.003984 | 0.00% | |
0.0900 | 0.00% | |
2663.65 | 0.00% | |
0.00329 | 0.00% | |
0.0009029 | 0.49% | |
200.01 | 0.00% | |
0.01450 | 0.00% | |
0.0000000500 | 0.00% | |
0.000059 | 0.00% | |
0.025980 | 0.00% | |
0.0001518 | 0.00% | |
0.3000 | 0.00% | |
0.000429835 | 0.00% | |
0.038168 | 0.00% | |
0.00561 | 0.00% | |
0.0203 | 0.00% | |
0.21356 | 0.00% | |
0.1500 | 0.00% | |
0.0031402 | 0.00% | |
0.05682 | 0.00% | |
0.000036 | 0.00% | |
0.0010535 | 0.00% | |
0.08771 | 0.00% | |
0.0002389 | 0.00% | |
0.1200 | 0.00% | |
0.000060 | 0.00% | |
0.0529 | 0.00% | |
0.000038 | 0.00% | |
0.3250 | 0.00% | |
0.00175 | 0.00% | |
0.0000410 | 0.00% | |
1.5000 | 0.00% | |
1.4719 | 0.00% | |
0.000114 | 0.00% | |
0.0000485 | 0.00% | |
0.00000004180 | 0.00% | |
0.4700 | 0.00% | |
0.05073 | 0.00% | |
0.000103 | 0.00% | |
0.000060291 | 0.00% | |
0.00612 | 0.00% | |
0.00020 | 0.00% | |
0.0002983 | 0.00% | |
0.00630 | 0.00% | |
0.0701 | -4.10% | |
0.9974 | -0.01% | |
0.9999 | 0.00% | |
0.250 | 0.00% | |
0.003144 | 0.00% | |
0.0019 | 0.00% | |
0.4758 | 0.00% | |
0.02396 | 0.42% | |
0.00206 | 0.00% | |
7.97 | 0.00% | |
0.00910 | 0.66% | |
0.00446 | 0.00% | |
0.259 | -2.26% | |
0.000000001359 | 0.00% | |
0.0019 | 0.00% | |
4707.09 | 0.00% | |
2.049 | -0.10% | |
1.049 | -0.29% | |
0.0088 | 0.00% | |
18.231 | -1.61% | |
0.374 | -4.35% |