TQQQ Deep Analytical Report

ProShares UltraPro QQQ | Category: Equity Micro Cap | Last Updated: 2026-03-24 | Data Range: 2010-02-01 → 2026-03-01 (194 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% 5.33% 6.14% 4.51% 41.92 47.40 39.43 50.40
Weekly 8.25% 8.72% 8.79% 12.82% 13.52% 9.93% 38.94 51.03 34.02 58.42
Monthly 15.47% 19.91% 16.23% 27.25% 28.14% 20.68% 33.65 59.07 25.39 78.26
Quarterly 25.01% 37.93% 23.56% 48.39% 48.74% 35.82% 27.38 72.58 16.82 118.15
Annual 97.47% 71.63% 16.82 118.15 6.35 313.16
Option Time Horizon 36.79% 27.04% 30.86 64.40 21.36 93.04
Calculation Notes: Computed at 2026-03-23T16:44 UTC  |  Reference Contract: Call option expiring 2026-05-15 (52 days)  |  Spot Price (S): $44.58  |  Strike (K): $45.00 (first OTM call ≥ spot)  |  Observed Mid-Price: $4.7000 (Bid $4.5000 / Ask $4.9000)  |  Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury)  |  Dividend Yield (q): 69.00%  |  Binomial IV (Annual): 97.47% (CRR binomial tree, American, n=20 steps)  |  BS IV: 104.51% (European Black-Scholes)  |  Yahoo IV (Annual): 71.63% → 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 7.00 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%2.35%
-8.43% to -5.55%1603.95%6.29%
-5.55% to -2.67%40510.00%16.29%
-2.67% to 0.21%126231.15%47.45%
0.21% to 3.09%145535.92%83.36%
3.09% to 5.97%48111.87%95.24%
5.97% to 8.85%1373.38%98.62%
8.85% to 11.73%330.81%99.43%
Greater than 11.73%230.57%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.63%4.05% 77.04%68.27%
±2σ -7.47%7.89% 94.57%95.45%
±3σ -11.31%11.73% 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 47.08 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -5.07%00.00%0.00%
-5.07% to -2.72%00.00%0.00%
-2.72% to -0.37%00.00%0.00%
-0.37% to 1.98%56713.99%13.99%
1.98% to 4.33%200549.48%63.47%
4.33% to 6.69%90822.41%85.88%
6.69% to 9.04%3288.09%93.98%
9.04% to 11.39%1273.13%97.11%
11.39% to 13.74%491.21%98.32%
Greater than 13.74%681.68%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 1.20%7.47% 87.27%68.27%
±2σ -1.94%10.61% 96.30%95.45%
±3σ -5.07%13.74% 98.32%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 4.50 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%1.16%
-6.88% to -4.58%1243.06%4.22%
-4.58% to -2.28%53613.23%17.45%
-2.28% to 0.02%151237.31%54.76%
0.02% to 2.32%115028.38%83.14%
2.32% to 4.62%3989.82%92.97%
4.62% to 6.93%1704.20%97.16%
6.93% to 9.23%671.65%98.82%
Greater than 9.23%481.18%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.05%3.09% 76.18%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 -0.34. 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 -23.76%70.83%0.83%
-23.76% to -17.57%131.55%2.38%
-17.57% to -11.39%313.69%6.07%
-11.39% to -5.20%10512.50%18.57%
-5.20% to 0.99%24128.69%47.26%
0.99% to 7.18%28734.17%81.43%
7.18% to 13.37%11513.69%95.12%
13.37% to 19.55%283.33%98.45%
19.55% to 25.74%80.95%99.40%
Greater than 25.74%50.60%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -7.26%9.24% 75.00%68.27%
±2σ -15.51%17.49% 94.05%95.45%
±3σ -23.76%25.74% 98.57%99.73%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.43. Further, an Excess Kurtosis of 20.15 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -14.04%00.00%0.00%
-14.04% to -7.50%00.00%0.00%
-7.50% to -0.96%00.00%0.00%
-0.96% to 5.58%12414.74%14.74%
5.58% to 12.12%42350.30%65.04%
12.12% to 18.66%17921.28%86.33%
18.66% to 25.20%597.02%93.34%
25.20% to 31.75%344.04%97.38%
31.75% to 38.29%70.83%98.22%
Greater than 38.29%151.78%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 3.40%20.84% 87.99%68.27%
±2σ -5.32%29.57% 96.08%95.45%
±3σ -14.04%38.29% 98.22%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.14. Further, an Excess Kurtosis of 12.62 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -26.45%00.00%0.00%
-26.45% to -19.86%20.24%0.24%
-19.86% to -13.27%232.73%2.97%
-13.27% to -6.68%11513.67%16.65%
-6.68% to -0.09%34541.02%57.67%
-0.09% to 6.50%22226.40%84.07%
6.50% to 13.09%829.75%93.82%
13.09% to 19.68%323.80%97.62%
19.68% to 26.27%91.07%98.69%
Greater than 26.27%111.31%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -8.88%8.70% 78.60%68.27%
±2σ -17.67%17.48% 96.20%95.45%
±3σ -26.45%26.27% 98.69%99.73%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.07. Further, an Excess Kurtosis of 0.08 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -42.45%00.00%0.00%
-42.45% to -30.85%21.04%1.04%
-30.85% to -19.24%136.74%7.77%
-19.24% to -7.63%2713.99%21.76%
-7.63% to 3.97%5327.46%49.22%
3.97% to 15.58%5729.53%78.76%
15.58% to 27.18%2915.03%93.78%
27.18% to 38.79%94.66%98.45%
38.79% to 50.39%31.55%100.00%
Greater than 50.39%00.00%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -11.50%19.44% 72.54%68.27%
±2σ -26.98%34.92% 95.34%95.45%
±3σ -42.45%50.39% 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 3.23. Further, an Excess Kurtosis of 18.52 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -30.38%00.00%0.00%
-30.38% to -15.45%00.00%0.00%
-15.45% to -0.51%00.00%0.00%
-0.51% to 14.42%2613.40%13.40%
14.42% to 29.35%10051.55%64.95%
29.35% to 44.28%4121.13%86.08%
44.28% to 59.22%105.15%91.24%
59.22% to 74.15%105.15%96.39%
74.15% to 89.08%52.58%98.97%
Greater than 89.08%21.03%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 9.44%49.26% 88.14%68.27%
±2σ -10.47%69.17% 94.33%95.45%
±3σ -30.38%89.08% 98.97%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.17. 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 -49.82%00.00%0.00%
-49.82% to -37.65%00.00%0.00%
-37.65% to -25.48%63.09%3.09%
-25.48% to -13.31%3417.53%20.62%
-13.31% to -1.14%7036.08%56.70%
-1.14% to 11.03%5628.87%85.57%
11.03% to 23.20%126.19%91.75%
23.20% to 35.37%84.12%95.88%
35.37% to 47.54%63.09%98.97%
Greater than 47.54%21.03%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -17.37%15.09% 73.71%68.27%
±2σ -33.59%31.31% 94.33%95.45%
±3σ -49.82%47.54% 98.97%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 -0.15 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -64.01%00.00%0.00%
-64.01% to -45.25%00.00%0.00%
-45.25% to -26.49%46.25%6.25%
-26.49% to -7.73%1117.19%23.44%
-7.73% to 11.03%1625.00%48.44%
11.03% to 29.78%2132.81%81.25%
29.78% to 48.54%710.94%92.19%
48.54% to 67.30%46.25%98.44%
67.30% to 86.06%11.56%100.00%
Greater than 86.06%00.00%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -13.98%36.04% 70.31%68.27%
±2σ -39.00%61.05% 93.75%95.45%
±3σ -64.01%86.06% 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 3.20. Further, an Excess Kurtosis of 14.70 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -56.14%00.00%0.00%
-56.14% to -27.70%00.00%0.00%
-27.70% to 0.74%00.00%0.00%
0.74% to 29.19%69.23%9.23%
29.19% to 57.63%3655.38%64.62%
57.63% to 86.08%1523.08%87.69%
86.08% to 114.52%57.69%95.38%
114.52% to 142.97%11.54%96.92%
142.97% to 171.41%11.54%98.46%
Greater than 171.41%11.54%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 19.71%95.56% 90.77%68.27%
±2σ -18.22%133.49% 95.38%95.45%
±3σ -56.14%171.41% 98.46%99.73%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 1.00. Further, an Excess Kurtosis of 1.00 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -75.60%00.00%0.00%
-75.60% to -57.93%00.00%0.00%
-57.93% to -40.26%11.54%1.54%
-40.26% to -22.59%1320.00%21.54%
-22.59% to -4.92%2335.38%56.92%
-4.92% to 12.75%1624.62%81.54%
12.75% to 30.41%57.69%89.23%
30.41% to 48.08%57.69%96.92%
48.08% to 65.75%11.54%98.46%
Greater than 65.75%11.54%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -28.48%18.64% 70.77%68.27%
±2σ -52.04%42.19% 95.38%95.45%
±3σ -75.60%65.75% 98.46%99.73%