Markets Data Volatility Heatmap Portfolio Calculator

DKNG Deep Analytical Report

DraftKings Inc. | Category: Equity Large Cap | Last Updated: 2026-03-24 | Data Range: 2019-08-01 → 2026-03-01 (80 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 4.06% 3.23% 3.60% 5.24% 3.85% 3.90% 23.35 25.22 22.47 26.21
Weekly 9.94% 9.47% 9.90% 12.44% 8.48% 8.59% 22.29 26.41 20.48 28.75
Monthly 22.20% 20.87% 19.80% 26.58% 17.65% 17.87% 20.34 28.95 17.05 34.53
Quarterly 30.77% 37.39% 33.10% 42.47% 30.56% 30.96% 17.88 32.94 13.17 44.71
Annual — — — — 61.13% 61.91% 13.17 44.71 7.15 82.40
Option Time Horizon — — — — 23.07% 23.37% 19.27 30.56 15.30 38.49
Calculation Notes: Computed at 2026-03-23T16:36 UTC  |  Reference Contract: Call option expiring 2026-05-15 (52 days)  |  Spot Price (S): $24.26  |  Strike (K): $25.00 (first OTM call ≥ spot)  |  Observed Mid-Price: $1.9850 (Bid $1.8700 / Ask $2.1000)  |  Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury)  |  Dividend Yield (q): 0.00%  |  Binomial IV (Annual): 61.13% (CRR binomial tree, American, n=20 steps)  |  BS IV: 61.60% (European Black-Scholes)  |  Yahoo IV (Annual): 61.91% → period-scaled as σperiod = σannual·√h  |  Price bands: Upper = S·e+σ√h, Lower = S·e−σ√h
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.06. Further, an Excess Kurtosis of 4.01 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -12.04%100.62%0.62%
-12.04% to -8.99%120.75%1.37%
-8.99% to -5.95%543.36%4.74%
-5.95% to -2.90%22714.14%18.88%
-2.90% to 0.14%53533.33%52.21%
0.14% to 3.18%48430.16%82.37%
3.18% to 6.23%18411.46%93.83%
6.23% to 9.27%623.86%97.69%
9.27% to 12.31%231.43%99.13%
Greater than 12.31%140.87%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.92%4.20% 75.33%68.27%
±2σ -7.98%8.25% 95.02%95.45%
±3σ -12.04%12.31% 98.50%99.73%
Descriptive Statistics
Mean0.139%
Standard Error0.101%
Median0.000%
Mode0.000%
Standard Deviation4.058%
Sample Variance16.469%
Kurtosis4.01
Skewness-0.06
Range45.094%
Minimum-27.824%
Maximum17.270%
Count1605
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 3.061% 798 49.72% 1.522%
Negative -2.820% 787 49.03% -1.383%
Zero 0.000% 20 1.25% 0.000%
Average True Range Percentage (ATRP)
Trading Days Horizon Average Daily True Range %
5 1 Week 5.07%
20 1 Month 4.67%
60 1 Quarter 4.89%
250 1 Year 4.37%
750 3 Years 4.31%
1,250 5 Years 5.24%
2,500 10 Years 5.63%
5,000 20 Years 5.63%
12,500 50 Years 5.63%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.59. Further, an Excess Kurtosis of 4.03 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -4.17%00.00%0.00%
-4.17% to -1.75%00.00%0.00%
-1.75% to 0.67%321.99%1.99%
0.67% to 3.09%30619.05%21.05%
3.09% to 5.51%64640.22%61.27%
5.51% to 7.93%33720.98%82.25%
7.93% to 10.35%16310.15%92.40%
10.35% to 12.78%583.61%96.01%
12.78% to 15.20%372.30%98.32%
Greater than 15.20%271.68%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 2.29%8.74% 78.52%68.27%
±2σ -0.94%11.97% 95.08%95.45%
±3σ -4.17%15.20% 98.32%99.73%
Descriptive Statistics
Mean5.514%
Standard Error0.081%
Median4.750%
Mode0.102%
Standard Deviation3.227%
Sample Variance10.414%
Kurtosis4.03
Skewness1.59
Range26.049%
Minimum0.030%
Maximum26.079%
Count1606
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 5.514% 1606 100.00% 5.514%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.10. Further, an Excess Kurtosis of 2.04 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -10.67%100.62%0.62%
-10.67% to -7.97%191.18%1.81%
-7.97% to -5.27%613.80%5.60%
-5.27% to -2.57%20812.95%18.56%
-2.57% to 0.13%51832.25%50.81%
0.13% to 2.83%48830.39%81.20%
2.83% to 5.53%21713.51%94.71%
5.53% to 8.23%513.18%97.88%
8.23% to 10.93%221.37%99.25%
Greater than 10.93%120.75%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.47%3.73% 74.22%68.27%
±2σ -7.07%7.33% 94.40%95.45%
±3σ -10.67%10.93% 98.63%99.73%
Descriptive Statistics
Mean0.130%
Standard Error0.090%
Median0.079%
Mode0.000%
Standard Deviation3.601%
Sample Variance12.964%
Kurtosis2.04
Skewness0.10
Range33.140%
Minimum-15.987%
Maximum17.153%
Count1606
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 2.728% 817 50.87% 1.388%
Negative -2.593% 779 48.51% -1.258%
Zero 0.000% 10 0.62% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.58. Further, an Excess Kurtosis of 2.71 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -29.07%10.29%0.29%
-29.07% to -21.62%51.47%1.77%
-21.62% to -14.16%123.54%5.31%
-14.16% to -6.71%4112.09%17.40%
-6.71% to 0.75%12536.87%54.28%
0.75% to 8.21%9728.61%82.89%
8.21% to 15.66%3710.91%93.81%
15.66% to 23.12%113.24%97.05%
23.12% to 30.57%61.77%98.82%
Greater than 30.57%41.18%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -9.19%10.69% 77.58%68.27%
±2σ -19.13%20.63% 93.81%95.45%
±3σ -29.07%30.57% 98.53%99.73%
Descriptive Statistics
Mean0.750%
Standard Error0.540%
Median0.120%
Mode-7.251%
Standard Deviation9.941%
Sample Variance98.830%
Kurtosis2.71
Skewness0.58
Range80.749%
Minimum-30.629%
Maximum50.120%
Count339
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 7.756% 173 51.03% 3.958%
Negative -6.631% 164 48.38% -3.208%
Zero 0.000% 2 0.59% 0.000%
Average True Range Percentage (ATRP)
Weeks Horizon Average Weekly True Range %
4 1 Month 10.29%
12 1 Quarter 11.52%
52 1 Year 9.90%
156 3 Years 10.07%
260 5 Years 12.44%
520 10 Years 13.18%
1,040 20 Years 13.18%
2,600 50 Years 13.18%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.83. Further, an Excess Kurtosis of 5.28 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -14.24%00.00%0.00%
-14.24% to -7.13%00.00%0.00%
-7.13% to -0.03%00.00%0.00%
-0.03% to 7.08%5917.35%17.35%
7.08% to 14.19%15345.00%62.35%
14.19% to 21.29%7321.47%83.82%
21.29% to 28.40%267.65%91.47%
28.40% to 35.50%185.29%96.76%
35.50% to 42.61%61.76%98.53%
Greater than 42.61%51.47%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 4.71%23.66% 79.41%68.27%
±2σ -4.76%33.13% 94.41%95.45%
±3σ -14.24%42.61% 98.53%99.73%
Descriptive Statistics
Mean14.186%
Standard Error0.514%
Median11.457%
Mode0.102%
Standard Deviation9.474%
Sample Variance89.759%
Kurtosis5.28
Skewness1.83
Range69.618%
Minimum0.099%
Maximum69.717%
Count340
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 14.186% 340 100.00% 14.186%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.73. Further, an Excess Kurtosis of 3.28 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -29.34%20.59%0.59%
-29.34% to -21.91%41.18%1.76%
-21.91% to -14.48%102.94%4.71%
-14.48% to -7.06%4312.65%17.35%
-7.06% to 0.36%12536.76%54.12%
0.36% to 7.79%10330.29%84.41%
7.79% to 15.21%319.12%93.53%
15.21% to 22.64%123.53%97.06%
22.64% to 30.07%51.47%98.53%
Greater than 30.07%51.47%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -9.54%10.27% 80.00%68.27%
±2σ -19.44%20.16% 94.41%95.45%
±3σ -29.34%30.07% 97.94%99.73%
Descriptive Statistics
Mean0.365%
Standard Error0.537%
Median-0.102%
Mode0.000%
Standard Deviation9.900%
Sample Variance98.007%
Kurtosis3.28
Skewness0.73
Range79.867%
Minimum-30.206%
Maximum49.661%
Count340
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 7.638% 163 47.94% 3.662%
Negative -6.479% 173 50.88% -3.297%
Zero 0.000% 4 1.18% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.62. Further, an Excess Kurtosis of 5.20 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -63.37%00.00%0.00%
-63.37% to -46.72%00.00%0.00%
-46.72% to -30.07%11.27%1.27%
-30.07% to -13.42%1620.25%21.52%
-13.42% to 3.22%2531.65%53.16%
3.22% to 19.87%2734.18%87.34%
19.87% to 36.52%56.33%93.67%
36.52% to 53.17%22.53%96.20%
53.17% to 69.81%22.53%98.73%
Greater than 69.81%11.27%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -18.97%25.42% 77.22%68.27%
±2σ -41.17%47.62% 94.94%95.45%
±3σ -63.37%69.81% 98.73%99.73%
Descriptive Statistics
Mean3.224%
Standard Error2.497%
Median1.741%
Mode-39.837%
Standard Deviation22.197%
Sample Variance492.729%
Kurtosis5.20
Skewness1.62
Range143.845%
Minimum-39.837%
Maximum104.008%
Count79
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 17.489% 42 53.16% 9.298%
Negative -13.329% 36 45.57% -6.074%
Zero 0.000% 1 1.27% 0.000%
Average True Range Percentage (ATRP)
Months Horizon Average Monthly True Range %
3 1 Quarter 23.66%
12 1 Year 21.08%
36 3 Years 22.51%
60 5 Years 26.58%
120 10 Years 29.35%
240 20 Years 29.35%
600 50 Years 29.35%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.25. Further, an Excess Kurtosis of 2.23 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -28.25%00.00%0.00%
-28.25% to -12.60%00.00%0.00%
-12.60% to 3.05%45.00%5.00%
3.05% to 18.70%1316.25%21.25%
18.70% to 34.35%2936.25%57.50%
34.35% to 50.01%2227.50%85.00%
50.01% to 65.66%67.50%92.50%
65.66% to 81.31%22.50%95.00%
81.31% to 96.97%22.50%97.50%
Greater than 96.97%22.50%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 13.48%55.22% 75.00%68.27%
±2σ -7.39%76.09% 95.00%95.45%
±3σ -28.26%96.97% 97.50%99.73%
Descriptive Statistics
Mean34.355%
Standard Error2.333%
Median31.303%
Mode0.813%
Standard Deviation20.870%
Sample Variance435.544%
Kurtosis2.23
Skewness1.25
Range108.919%
Minimum0.813%
Maximum109.732%
Count80
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 34.355% 80 100.00% 34.355%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.52. Further, an Excess Kurtosis of 1.83 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -58.38%00.00%0.00%
-58.38% to -43.53%11.25%1.25%
-43.53% to -28.68%33.75%5.00%
-28.68% to -13.83%1012.50%17.50%
-13.83% to 1.02%3037.50%55.00%
1.02% to 15.88%1822.50%77.50%
15.88% to 30.73%1316.25%93.75%
30.73% to 45.58%45.00%98.75%
45.58% to 60.43%00.00%98.75%
Greater than 60.43%11.25%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -18.78%20.83% 72.50%68.27%
±2σ -38.58%40.63% 95.00%95.45%
±3σ -58.38%60.43% 98.75%99.73%
Descriptive Statistics
Mean1.025%
Standard Error2.214%
Median-1.269%
Mode-51.159%
Standard Deviation19.802%
Sample Variance392.104%
Kurtosis1.83
Skewness0.52
Range125.679%
Minimum-51.159%
Maximum74.520%
Count80
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 17.030% 37 46.25% 7.876%
Negative -13.050% 42 52.50% -6.851%
Zero 0.000% 1 1.25% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.19. Further, an Excess Kurtosis of -0.53 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -84.45%00.00%0.00%
-84.45% to -61.38%00.00%0.00%
-61.38% to -38.30%13.85%3.85%
-38.30% to -15.22%311.54%15.38%
-15.22% to 7.86%1246.15%61.54%
7.86% to 30.94%27.69%69.23%
30.94% to 54.02%726.92%96.15%
54.02% to 77.10%13.85%100.00%
77.10% to 100.18%00.00%100.00%
Greater than 100.18%00.00%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -22.91%38.63% 65.38%68.27%
±2σ -53.68%69.41% 96.15%95.45%
±3σ -84.45%100.18% 100.00%99.73%
Descriptive Statistics
Mean7.862%
Standard Error6.035%
Median2.539%
Mode-52.586%
Standard Deviation30.772%
Sample Variance946.937%
Kurtosis-0.53
Skewness0.19
Range124.092%
Minimum-52.586%
Maximum71.506%
Count26
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 30.125% 14 53.85% 16.221%
Negative -18.112% 12 46.15% -8.359%
Zero 0.000% 0 0.00% 0.000%
Average True Range Percentage (ATRP)
Quarters Horizon Average Quarterly True Range %
4 1 Year 36.18%
12 3 Years 38.05%
20 5 Years 42.47%
40 10 Years 50.99%
80 20 Years 50.99%
200 50 Years 50.99%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.61. Further, an Excess Kurtosis of 3.21 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -50.03%00.00%0.00%
-50.03% to -21.99%00.00%0.00%
-21.99% to 6.05%13.70%3.70%
6.05% to 34.09%311.11%14.81%
34.09% to 62.13%1348.15%62.96%
62.13% to 90.17%518.52%81.48%
90.17% to 118.21%311.11%92.59%
118.21% to 146.25%13.70%96.30%
146.25% to 174.29%00.00%96.30%
Greater than 174.29%13.70%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 24.75%99.52% 81.48%68.27%
±2σ -12.64%136.91% 96.30%95.45%
±3σ -50.03%174.29% 96.30%99.73%
Descriptive Statistics
Mean62.133%
Standard Error7.195%
Median51.892%
Mode3.889%
Standard Deviation37.387%
Sample Variance1397.753%
Kurtosis3.21
Skewness1.61
Range178.248%
Minimum3.889%
Maximum182.137%
Count27
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 62.133% 27 100.00% 62.133%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.61. Further, an Excess Kurtosis of 3.91 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -97.94%00.00%0.00%
-97.94% to -73.12%00.00%0.00%
-73.12% to -48.29%00.00%0.00%
-48.29% to -23.46%829.63%29.63%
-23.46% to 1.36%725.93%55.56%
1.36% to 26.19%933.33%88.89%
26.19% to 51.02%13.70%92.59%
51.02% to 75.85%13.70%96.30%
75.85% to 100.67%00.00%96.30%
Greater than 100.67%13.70%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -31.74%34.47% 81.48%68.27%
±2σ -64.84%67.57% 96.30%95.45%
±3σ -97.94%100.67% 96.30%99.73%
Descriptive Statistics
Mean1.365%
Standard Error6.371%
Median-3.075%
Mode-41.903%
Standard Deviation33.103%
Sample Variance1095.786%
Kurtosis3.91
Skewness1.61
Range154.443%
Minimum-41.903%
Maximum112.540%
Count27
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 27.637% 12 44.44% 12.283%
Negative -19.652% 15 55.56% -10.918%
Zero 0.000% 0 0.00% 0.000%