BX - Detail Report

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	2.80%	2.79%	2.46%	3.26%	2.77%	2.94%	117.96	124.67	114.74	128.17
Weekly	6.14%	7.23%	6.19%	7.94%	6.09%	6.46%	114.11	128.88	107.36	136.98
Monthly	10.85%	16.53%	11.77%	17.34%	12.68%	13.45%	106.83	137.66	94.11	156.26
Quarterly	21.92%	29.53%	23.91%	30.28%	21.96%	23.30%	97.36	151.04	78.17	188.13
Annual	—	—	—	—	43.91%	46.59%	78.17	188.13	50.39	291.85
Option Time Horizon	—	—	—	—	14.35%	15.23%	105.05	139.99	91.01	161.60

Calculation Notes: Computed at 2026-02-22T14:18 UTC | Reference Contract: Call option expiring 2026-04-02 (39 days) | Spot Price (S): $121.27 | Strike (K): $125.00 (first OTM call ≥ spot) | Observed Mid-Price: $5.4000 (Bid $4.9500 / Ask $5.8500) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 3.77% | Binomial IV (Annual): 43.91% (CRR binomial tree, American, n=20 steps) | BS IV: 44.47% (European Black-Scholes) | Yahoo IV (Annual): 46.59% → period-scaled as σ_period = σ_annual·√h | Price bands: Upper = S·e^+σ√h, Lower = S·e^−σ√h

Historical Dividend Payouts

Ex-Dividend Date	Amount
2026-02-09	$1.4900
2025-11-03	$1.2900
2025-08-04	$1.0300
2025-04-28	$0.9300
2025-02-10	$1.4400
2024-10-28	$0.8600
2024-07-29	$0.8200
2024-04-26	$0.8300
2024-02-02	$0.9400
2023-10-27	$0.8000
2023-07-28	$0.7900
2023-04-28	$0.8200
2023-02-03	$0.9100
2022-10-28	$0.9000
2022-07-29	$1.2700
2022-04-29	$1.3200
2022-02-04	$1.4500
2021-10-29	$1.0900
2021-07-30	$0.7000
2021-04-30	$0.8200
2021-02-05	$0.9600
2020-11-06	$0.5400
2020-07-31	$0.3700
2020-05-01	$0.3900
2020-02-07	$0.6100
2019-11-01	$0.4900
2019-07-26	$0.4800
2019-04-26	$0.3700
2019-02-08	$0.5800
2018-10-26	$0.6400
2018-07-27	$0.5800
2018-04-27	$0.3500
2018-02-09	$0.8500
2017-10-27	$0.4400
2017-07-27	$0.5400
2017-04-27	$0.8700
2017-02-02	$0.4700
2016-11-03	$0.4100
2016-07-28	$0.3600
2016-04-28	$0.2800
2016-02-04	$0.6100
2015-10-22	$0.4900
2015-07-23	$0.7262
2015-04-23	$0.8734
2015-02-05	$0.7655
2014-10-23	$0.4318
2014-07-24	$0.5397
2014-04-24	$0.3435
2014-02-06	$0.5692
2013-10-24	$0.2257
2013-07-25	$0.2257
2013-04-25	$0.2944
2013-02-07	$0.4122
2012-11-13	$0.0981
2012-08-13	$0.0981
2012-05-11	$0.0981
2012-03-13	$0.2159
2011-11-10	$0.0981
2011-08-11	$0.0981
2011-05-12	$0.1963
2011-03-11	$0.3140
2010-11-10	$0.0981
2010-08-11	$0.0981
2010-05-12	$0.0981
2010-03-11	$0.2944
2009-11-25	$0.2944
2009-08-27	$0.2944
2009-05-27	$0.2944
2008-11-25	$0.2944
2008-08-27	$0.2944
2008-05-28	$0.2944
2008-03-27	$0.2944
2007-11-28	$0.2944

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.86. Further, an Excess Kurtosis of 19.18 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.32%	36	0.77%	0.77%
-8.32% to -6.22%	36	0.77%	1.53%
-6.22% to -4.12%	134	2.85%	4.39%
-4.12% to -2.02%	485	10.33%	14.72%
-2.02% to 0.09%	1671	35.59%	50.31%
0.09% to 2.19%	1665	35.46%	85.77%
2.19% to 4.29%	453	9.65%	95.42%
4.29% to 6.40%	137	2.92%	98.34%
6.40% to 8.50%	46	0.98%	99.32%
Greater than 8.50%	32	0.68%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.72%	2.89%	80.85%	68.27%
±2σ	-5.52%	5.69%	95.61%	95.45%
±3σ	-8.32%	8.50%	98.55%	99.73%

Descriptive Statistics

Mean	0.087%
Standard Error	0.041%
Median	0.073%
Mode	0.000%
Standard Deviation	2.804%
Sample Variance	7.860%
Kurtosis	19.18
Skewness	0.86
Range	69.697%
Minimum	-31.417%
Maximum	38.280%
Count	4695

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.850%	2414	51.42%	0.951%
Negative	-1.815%	2237	47.65%	-0.865%
Zero	0.000%	44	0.94%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	4.11%
20	1 Month	4.11%
60	1 Quarter	3.13%
250	1 Year	3.26%
750	3 Years	2.97%
1,250	5 Years	3.26%
2,500	10 Years	2.97%
5,000	20 Years	3.51%
12,500	50 Years	3.51%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.12. Further, an Excess Kurtosis of 50.94 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -5.00%	0	0.00%	0.00%
-5.00% to -2.91%	0	0.00%	0.00%
-2.91% to -0.82%	0	0.00%	0.00%
-0.82% to 1.27%	324	6.90%	6.90%
1.27% to 3.36%	2828	60.22%	67.12%
3.36% to 5.45%	981	20.89%	88.01%
5.45% to 7.54%	310	6.60%	94.61%
7.54% to 9.62%	111	2.36%	96.98%
9.62% to 11.71%	52	1.11%	98.08%
Greater than 11.71%	90	1.92%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.57%	6.14%	91.12%	68.27%
±2σ	-2.22%	8.93%	96.53%	95.45%
±3σ	-5.00%	11.71%	98.08%	99.73%

Descriptive Statistics

Mean	3.356%
Standard Error	0.041%
Median	2.640%
Mode	2.759%
Standard Deviation	2.786%
Sample Variance	7.764%
Kurtosis	50.94
Skewness	5.12
Range	54.068%
Minimum	0.554%
Maximum	54.622%
Count	4696

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.356%	4696	100.00%	3.356%
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 1.36. Further, an Excess Kurtosis of 38.70 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.30%	35	0.75%	0.75%
-7.30% to -5.46%	37	0.79%	1.53%
-5.46% to -3.61%	116	2.47%	4.00%
-3.61% to -1.76%	473	10.07%	14.08%
-1.76% to 0.08%	1753	37.33%	51.41%
0.08% to 1.93%	1589	33.84%	85.24%
1.93% to 3.77%	483	10.29%	95.53%
3.77% to 5.62%	132	2.81%	98.34%
5.62% to 7.46%	36	0.77%	99.11%
Greater than 7.46%	42	0.89%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.38%	2.54%	81.77%	68.27%
±2σ	-4.84%	5.00%	96.02%	95.45%
±3σ	-7.30%	7.46%	98.36%	99.73%

Descriptive Statistics

Mean	0.082%
Standard Error	0.036%
Median	0.030%
Mode	0.000%
Standard Deviation	2.461%
Sample Variance	6.058%
Kurtosis	38.70
Skewness	1.36
Range	71.671%
Minimum	-23.795%
Maximum	47.876%
Count	4696

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.646%	2370	50.47%	0.831%
Negative	-1.542%	2278	48.51%	-0.748%
Zero	0.000%	48	1.02%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.38. Further, an Excess Kurtosis of 6.03 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -17.99%	5	0.51%	0.51%
-17.99% to -13.38%	10	1.03%	1.54%
-13.38% to -8.78%	32	3.29%	4.83%
-8.78% to -4.18%	111	11.40%	16.22%
-4.18% to 0.42%	339	34.80%	51.03%
0.42% to 5.03%	321	32.96%	83.98%
5.03% to 9.63%	104	10.68%	94.66%
9.63% to 14.23%	34	3.49%	98.15%
14.23% to 18.84%	9	0.92%	99.08%
Greater than 18.84%	9	0.92%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.71%	6.56%	76.69%	68.27%
±2σ	-11.85%	12.70%	94.46%	95.45%
±3σ	-17.99%	18.84%	98.56%	99.73%

Descriptive Statistics

Mean	0.425%
Standard Error	0.197%
Median	0.358%
Mode	0.282%
Standard Deviation	6.137%
Sample Variance	37.660%
Kurtosis	6.03
Skewness	0.38
Range	76.674%
Minimum	-32.432%
Maximum	44.242%
Count	974

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.321%	525	53.90%	2.329%
Negative	-4.149%	447	45.89%	-1.904%
Zero	0.000%	2	0.20%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	9.28%
12	1 Quarter	7.34%
52	1 Year	7.89%
156	3 Years	7.10%
260	5 Years	7.94%
520	10 Years	7.08%
1,040	20 Years	8.28%
2,600	50 Years	8.28%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.61. Further, an Excess Kurtosis of 41.17 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -12.93%	0	0.00%	0.00%
-12.93% to -7.51%	0	0.00%	0.00%
-7.51% to -2.09%	0	0.00%	0.00%
-2.09% to 3.33%	86	8.82%	8.82%
3.33% to 8.76%	561	57.54%	66.36%
8.76% to 14.18%	211	21.64%	88.00%
14.18% to 19.60%	58	5.95%	93.95%
19.60% to 25.02%	28	2.87%	96.82%
25.02% to 30.44%	15	1.54%	98.36%
Greater than 30.44%	16	1.64%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.53%	15.98%	90.67%	68.27%
±2σ	-5.70%	23.21%	96.21%	95.45%
±3σ	-12.93%	30.44%	98.36%	99.73%

Descriptive Statistics

Mean	8.755%
Standard Error	0.231%
Median	6.858%
Mode	7.143%
Standard Deviation	7.228%
Sample Variance	52.251%
Kurtosis	41.17
Skewness	4.61
Range	104.570%
Minimum	1.535%
Maximum	106.105%
Count	975

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.755%	975	100.00%	8.755%
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 1.07. Further, an Excess Kurtosis of 8.68 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -18.37%	5	0.51%	0.51%
-18.37% to -13.72%	8	0.82%	1.33%
-13.72% to -9.08%	32	3.28%	4.62%
-9.08% to -4.43%	114	11.69%	16.31%
-4.43% to 0.21%	366	37.54%	53.85%
0.21% to 4.86%	295	30.26%	84.10%
4.86% to 9.51%	107	10.97%	95.08%
9.51% to 14.15%	26	2.67%	97.74%
14.15% to 18.80%	10	1.03%	98.77%
Greater than 18.80%	12	1.23%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.98%	6.41%	79.18%	68.27%
±2σ	-12.17%	12.60%	95.28%	95.45%
±3σ	-18.37%	18.80%	98.26%	99.73%

Descriptive Statistics

Mean	0.214%
Standard Error	0.198%
Median	-0.180%
Mode	0.000%
Standard Deviation	6.194%
Sample Variance	38.364%
Kurtosis	8.68
Skewness	1.07
Range	80.521%
Minimum	-32.521%
Maximum	48.000%
Count	975

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.645%	463	47.49%	2.206%
Negative	-3.830%	507	52.00%	-1.992%
Zero	0.000%	5	0.51%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.03. Further, an Excess Kurtosis of 2.38 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -30.88%	2	0.89%	0.89%
-30.88% to -22.74%	2	0.89%	1.79%
-22.74% to -14.60%	8	3.57%	5.36%
-14.60% to -6.46%	31	13.84%	19.20%
-6.46% to 1.68%	64	28.57%	47.77%
1.68% to 9.81%	75	33.48%	81.25%
9.81% to 17.95%	31	13.84%	95.09%
17.95% to 26.09%	8	3.57%	98.66%
26.09% to 34.23%	1	0.45%	99.11%
Greater than 34.23%	2	0.89%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-9.17%	12.53%	71.88%	68.27%
±2σ	-20.02%	23.38%	95.98%	95.45%
±3σ	-30.87%	34.22%	98.21%	99.73%

Descriptive Statistics

Mean	1.675%
Standard Error	0.725%
Median	2.100%
Mode	-40.417%
Standard Deviation	10.850%
Sample Variance	117.719%
Kurtosis	2.38
Skewness	0.03
Range	89.288%
Minimum	-40.417%
Maximum	48.871%
Count	224

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.338%	133	59.38%	4.951%
Negative	-8.064%	91	40.62%	-3.276%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	14.22%
12	1 Year	15.39%
36	3 Years	15.32%
60	5 Years	17.34%
120	10 Years	15.55%
240	20 Years	17.61%
600	50 Years	17.61%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.06. Further, an Excess Kurtosis of 21.16 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -29.35%	0	0.00%	0.00%
-29.35% to -16.95%	0	0.00%	0.00%
-16.95% to -4.55%	0	0.00%	0.00%
-4.55% to 7.85%	15	6.67%	6.67%
7.85% to 20.25%	141	62.67%	69.33%
20.25% to 32.64%	47	20.89%	90.22%
32.64% to 45.04%	11	4.89%	95.11%
45.04% to 57.44%	6	2.67%	97.78%
57.44% to 69.84%	0	0.00%	97.78%
Greater than 69.84%	5	2.22%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	3.71%	36.78%	92.00%	68.27%
±2σ	-12.82%	53.31%	97.33%	95.45%
±3σ	-29.35%	69.84%	97.78%	99.73%

Descriptive Statistics

Mean	20.246%
Standard Error	1.102%
Median	16.440%
Mode	15.174%
Standard Deviation	16.531%
Sample Variance	273.284%
Kurtosis	21.16
Skewness	4.06
Range	126.461%
Minimum	5.370%
Maximum	131.831%
Count	225

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.246%	225	100.00%	20.246%
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 1.44. Further, an Excess Kurtosis of 6.15 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -35.02%	1	0.44%	0.44%
-35.02% to -26.19%	1	0.44%	0.89%
-26.19% to -17.37%	5	2.22%	3.11%
-17.37% to -8.54%	35	15.56%	18.67%
-8.54% to 0.28%	86	38.22%	56.89%
0.28% to 9.11%	62	27.56%	84.44%
9.11% to 17.93%	21	9.33%	93.78%
17.93% to 26.76%	9	4.00%	97.78%
26.76% to 35.58%	2	0.89%	98.67%
Greater than 35.58%	3	1.33%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-11.48%	12.05%	77.78%	68.27%
±2σ	-23.25%	23.81%	95.56%	95.45%
±3σ	-35.02%	35.58%	98.22%	99.73%

Descriptive Statistics

Mean	0.282%
Standard Error	0.784%
Median	-1.506%
Mode	-15.720%
Standard Deviation	11.766%
Sample Variance	138.440%
Kurtosis	6.15
Skewness	1.44
Range	105.075%
Minimum	-37.241%
Maximum	67.834%
Count	225

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.730%	99	44.00%	4.281%
Negative	-7.142%	126	56.00%	-4.000%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.36. Further, an Excess Kurtosis of 8.33 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -60.06%	0	0.00%	0.00%
-60.06% to -43.62%	2	2.67%	2.67%
-43.62% to -27.18%	0	0.00%	2.67%
-27.18% to -10.74%	13	17.33%	20.00%
-10.74% to 5.71%	24	32.00%	52.00%
5.71% to 22.15%	24	32.00%	84.00%
22.15% to 38.59%	11	14.67%	98.67%
38.59% to 55.03%	0	0.00%	98.67%
55.03% to 71.47%	0	0.00%	98.67%
Greater than 71.47%	1	1.33%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-16.22%	27.63%	82.67%	68.27%
±2σ	-38.14%	49.55%	96.00%	95.45%
±3σ	-60.06%	71.47%	98.67%	99.73%

Descriptive Statistics

Mean	5.705%
Standard Error	2.531%
Median	5.289%
Mode	-49.908%
Standard Deviation	21.921%
Sample Variance	480.540%
Kurtosis	8.33
Skewness	1.36
Range	166.981%
Minimum	-49.908%
Maximum	117.073%
Count	75

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	17.844%	46	61.33%	10.944%
Negative	-13.552%	29	38.67%	-5.240%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	25.39%
12	3 Years	28.39%
20	5 Years	30.28%
40	10 Years	27.78%
80	20 Years	31.22%
200	50 Years	31.22%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.50. Further, an Excess Kurtosis of 14.14 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -48.98%	0	0.00%	0.00%
-48.98% to -26.83%	0	0.00%	0.00%
-26.83% to -4.68%	0	0.00%	0.00%
-4.68% to 17.47%	4	5.26%	5.26%
17.47% to 39.62%	47	61.84%	67.11%
39.62% to 61.77%	17	22.37%	89.47%
61.77% to 83.92%	4	5.26%	94.74%
83.92% to 106.07%	1	1.32%	96.05%
106.07% to 128.22%	1	1.32%	97.37%
Greater than 128.22%	2	2.63%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	10.09%	69.15%	94.74%	68.27%
±2σ	-19.45%	98.69%	96.05%	95.45%
±3σ	-48.98%	128.22%	97.37%	99.73%

Descriptive Statistics

Mean	39.620%
Standard Error	3.388%
Median	32.037%
Mode	11.388%
Standard Deviation	29.534%
Sample Variance	872.257%
Kurtosis	14.14
Skewness	3.50
Range	172.042%
Minimum	11.388%
Maximum	183.430%
Count	76

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	39.620%	76	100.00%	39.620%
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 2.05. Further, an Excess Kurtosis of 7.37 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -70.67%	0	0.00%	0.00%
-70.67% to -52.73%	1	1.32%	1.32%
-52.73% to -34.80%	0	0.00%	1.32%
-34.80% to -16.86%	10	13.16%	14.47%
-16.86% to 1.07%	35	46.05%	60.53%
1.07% to 19.00%	21	27.63%	88.16%
19.00% to 36.94%	6	7.89%	96.05%
36.94% to 54.87%	1	1.32%	97.37%
54.87% to 72.81%	0	0.00%	97.37%
Greater than 72.81%	2	2.63%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-22.84%	24.98%	81.58%	68.27%
±2σ	-46.75%	48.89%	94.74%	95.45%
±3σ	-70.67%	72.81%	97.37%	99.73%

Descriptive Statistics

Mean	1.070%
Standard Error	2.743%
Median	-3.492%
Mode	-54.750%
Standard Deviation	23.912%
Sample Variance	571.803%
Kurtosis	7.37
Skewness	2.05
Range	158.076%
Minimum	-54.750%
Maximum	103.326%
Count	76

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	19.765%	33	43.42%	8.582%
Negative	-13.276%	43	56.58%	-7.511%
Zero	0.000%	0	0.00%	0.000%

BX Deep Analytical Report