TQQQ Deep Analytical Report

ProShares UltraPro QQQ | Category: Equity Micro Cap | Last Updated: 2026-02-22 | Data Range: 2010-02-01 → 2026-02-01 (193 months)
Quick Overview
Timeframe C-C DoR σ
(Historical)
H-L DoR σ
(Historical)
O-C DoR σ
(Historical)
5Y ATRP
(Avg)
Binomial IV
(Period)
Yahoo IV
(Period)
1σ Lower
(68.27%)
1σ Upper 2σ Lower
(95.45%)
2σ Upper
Daily 3.84% 3.14% 3.07% 5.37% 5.05% 3.82% 47.60 52.65 45.25 55.38
Weekly 8.27% 8.74% 8.80% 12.91% 11.11% 8.40% 44.79 55.94 40.08 62.52
Monthly 15.47% 19.95% 16.25% 27.35% 23.13% 17.49% 39.72 63.09 31.52 79.51
Quarterly 24.85% 38.08% 23.39% 48.00% 40.07% 30.29% 33.53 74.73 22.46 111.56
Annual 80.14% 60.57% 22.46 111.56 10.08 248.62
Option Time Horizon 26.19% 19.80% 38.52 65.05 29.65 84.53
Calculation Notes: Computed at 2026-02-22T14:25 UTC  |  Reference Contract: Call option expiring 2026-04-02 (39 days)  |  Spot Price (S): $50.06  |  Strike (K): $50.50 (first OTM call ≥ spot)  |  Observed Mid-Price: $3.8000 (Bid $3.6500 / Ask $3.9500)  |  Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury)  |  Dividend Yield (q): 63.00%  |  Binomial IV (Annual): 80.14% (CRR binomial tree, American, n=20 steps)  |  BS IV: 85.11% (European Black-Scholes)  |  Yahoo IV (Annual): 60.57% → period-scaled as σperiod = σannual·√h  |  Price bands: Upper = S·e+σ√h, Lower = S·e−σ√h
Historical Dividend Payouts
Ex-Dividend Date Amount
2025-12-24 $0.0860
2025-09-24 $0.0490
2025-06-25 $0.1090
2025-03-26 $0.0990
2024-12-23 $0.1375
2024-09-25 $0.1150
2024-06-26 $0.1415
2024-03-20 $0.1075
2023-12-20 $0.1115
2023-09-20 $0.0695
2023-06-21 $0.0640
2023-03-22 $0.0750
2022-12-22 $0.0490
2019-12-24 $0.0039
2019-03-20 $0.0025
2018-12-26 $0.0051
2015-03-25 $0.0002
2014-12-22 $0.0004
2014-06-25 $0.0003
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.22. Further, an Excess Kurtosis of 7.02 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -11.31%360.89%0.89%
-11.31% to -8.43%591.46%2.36%
-8.43% to -5.55%1593.95%6.30%
-5.55% to -2.67%4009.93%16.23%
-2.67% to 0.21%126131.29%47.52%
0.21% to 3.09%144735.91%83.42%
3.09% to 5.97%47511.79%95.21%
5.97% to 8.86%1373.40%98.61%
8.86% to 11.74%330.82%99.43%
Greater than 11.74%230.57%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.63%4.05% 77.15%68.27%
±2σ -7.47%7.90% 94.54%95.45%
±3σ -11.31%11.74% 98.54%99.73%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.42. Further, an Excess Kurtosis of 46.98 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -5.09%00.00%0.00%
-5.09% to -2.74%00.00%0.00%
-2.74% to -0.38%00.00%0.00%
-0.38% to 1.98%56614.04%14.04%
1.98% to 4.33%199849.57%63.61%
4.33% to 6.69%89722.25%85.86%
6.69% to 9.04%3288.14%94.00%
9.04% to 11.40%1253.10%97.10%
11.40% to 13.76%511.27%98.36%
Greater than 13.76%661.64%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 1.19%7.47% 87.30%68.27%
±2σ -1.95%10.62% 96.28%95.45%
±3σ -5.09%13.76% 98.36%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.54. Further, an Excess Kurtosis of 4.52 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -9.19%110.27%0.27%
-9.19% to -6.88%360.89%1.17%
-6.88% to -4.58%1233.05%4.22%
-4.58% to -2.28%53113.17%17.39%
-2.28% to 0.02%150937.43%54.83%
0.02% to 2.32%114428.38%83.21%
2.32% to 4.63%3939.75%92.95%
4.63% to 6.93%1694.19%97.15%
6.93% to 9.23%671.66%98.81%
Greater than 9.23%481.19%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.05%3.09% 76.23%68.27%
±2σ -6.12%6.16% 94.72%95.45%
±3σ -9.19%9.23% 98.54%99.73%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.35. Further, an Excess Kurtosis of 2.55 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -23.79%70.84%0.84%
-23.79% to -17.59%131.56%2.39%
-17.59% to -11.39%313.71%6.10%
-11.39% to -5.19%10412.44%18.54%
-5.19% to 1.01%23928.59%47.13%
1.01% to 7.21%28634.21%81.34%
7.21% to 13.41%11814.11%95.45%
13.41% to 19.61%252.99%98.44%
19.61% to 25.80%80.96%99.40%
Greater than 25.80%50.60%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -7.26%9.27% 75.12%68.27%
±2σ -15.52%17.54% 94.02%95.45%
±3σ -23.79%25.80% 98.56%99.73%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.42. Further, an Excess Kurtosis of 20.05 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -14.10%00.00%0.00%
-14.10% to -7.54%00.00%0.00%
-7.54% to -0.99%00.00%0.00%
-0.99% to 5.57%12314.70%14.70%
5.57% to 12.12%42150.30%64.99%
12.12% to 18.68%17821.27%86.26%
18.68% to 25.23%597.05%93.31%
25.23% to 31.79%344.06%97.37%
31.79% to 38.34%70.84%98.21%
Greater than 38.34%151.79%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 3.38%20.86% 87.93%68.27%
±2σ -5.36%29.60% 96.06%95.45%
±3σ -14.10%38.34% 98.21%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.15. Further, an Excess Kurtosis of 12.61 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -26.50%00.00%0.00%
-26.50% to -19.90%20.24%0.24%
-19.90% to -13.30%232.75%2.99%
-13.30% to -6.70%11413.62%16.61%
-6.70% to -0.10%34441.10%57.71%
-0.10% to 6.50%22126.40%84.11%
6.50% to 13.10%819.68%93.79%
13.10% to 19.70%323.82%97.61%
19.70% to 26.30%101.19%98.81%
Greater than 26.30%101.19%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -8.90%8.70% 78.61%68.27%
±2σ -17.70%17.50% 96.18%95.45%
±3σ -26.50%26.30% 98.81%99.73%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.08. Further, an Excess Kurtosis of 0.10 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -42.37%00.00%0.00%
-42.37% to -30.76%21.04%1.04%
-30.76% to -19.16%136.77%7.81%
-19.16% to -7.55%2513.02%20.83%
-7.55% to 4.05%5428.12%48.96%
4.05% to 15.66%5729.69%78.65%
15.66% to 27.26%2915.10%93.75%
27.26% to 38.87%94.69%98.44%
38.87% to 50.47%31.56%100.00%
Greater than 50.47%00.00%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -11.42%19.52% 72.40%68.27%
±2σ -26.89%35.00% 95.31%95.45%
±3σ -42.37%50.47% 100.00%99.73%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.22. Further, an Excess Kurtosis of 18.43 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -30.45%00.00%0.00%
-30.45% to -15.49%00.00%0.00%
-15.49% to -0.53%00.00%0.00%
-0.53% to 14.44%2613.47%13.47%
14.44% to 29.40%10051.81%65.28%
29.40% to 44.36%4020.73%86.01%
44.36% to 59.33%105.18%91.19%
59.33% to 74.29%105.18%96.37%
74.29% to 89.25%52.59%98.96%
Greater than 89.25%21.04%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 9.45%49.35% 88.08%68.27%
±2σ -10.50%69.30% 94.30%95.45%
±3σ -30.45%89.25% 98.96%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.18. Further, an Excess Kurtosis of 2.26 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -49.96%00.00%0.00%
-49.96% to -37.77%00.00%0.00%
-37.77% to -25.57%63.11%3.11%
-25.57% to -13.38%3417.62%20.73%
-13.38% to -1.19%7036.27%56.99%
-1.19% to 11.00%5528.50%85.49%
11.00% to 23.19%126.22%91.71%
23.19% to 35.38%84.15%95.85%
35.38% to 47.57%63.11%98.96%
Greater than 47.57%21.04%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -17.45%15.06% 74.09%68.27%
±2σ -33.70%31.32% 94.30%95.45%
±3σ -49.96%47.57% 98.96%99.73%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.15. Further, an Excess Kurtosis of -0.11 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -63.34%00.00%0.00%
-63.34% to -44.71%00.00%0.00%
-44.71% to -26.07%46.25%6.25%
-26.07% to -7.44%1015.62%21.88%
-7.44% to 11.20%1726.56%48.44%
11.20% to 29.83%2132.81%81.25%
29.83% to 48.47%710.94%92.19%
48.47% to 67.10%46.25%98.44%
67.10% to 85.73%11.56%100.00%
Greater than 85.73%00.00%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -13.65%36.04% 71.88%68.27%
±2σ -38.50%60.89% 92.19%95.45%
±3σ -63.34%85.73% 100.00%99.73%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.17. Further, an Excess Kurtosis of 14.49 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -56.78%00.00%0.00%
-56.78% to -28.22%00.00%0.00%
-28.22% to 0.34%00.00%0.00%
0.34% to 28.90%710.77%10.77%
28.90% to 57.45%3452.31%63.08%
57.45% to 86.01%1624.62%87.69%
86.01% to 114.57%57.69%95.38%
114.57% to 143.13%11.54%96.92%
143.13% to 171.69%11.54%98.46%
Greater than 171.69%11.54%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 19.38%95.53% 90.77%68.27%
±2σ -18.70%133.61% 95.38%95.45%
±3σ -56.78%171.69% 98.46%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.03. Further, an Excess Kurtosis of 1.14 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -75.30%00.00%0.00%
-75.30% to -57.76%00.00%0.00%
-57.76% to -40.22%11.54%1.54%
-40.22% to -22.68%1320.00%21.54%
-22.68% to -5.14%2233.85%55.38%
-5.14% to 12.40%1827.69%83.08%
12.40% to 29.94%46.15%89.23%
29.94% to 47.48%57.69%96.92%
47.48% to 65.02%11.54%98.46%
Greater than 65.02%11.54%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -28.53%18.25% 72.31%68.27%
±2σ -51.91%41.63% 95.38%95.45%
±3σ -75.30%65.02% 98.46%99.73%