V - 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	1.79%	1.63%	1.53%	1.94%	1.69%	1.84%	301.06	311.44	296.00	316.76
Weekly	3.66%	3.85%	3.59%	4.54%	3.73%	4.06%	295.00	317.84	284.20	329.92
Monthly	6.39%	7.20%	6.31%	9.51%	7.76%	8.45%	283.33	330.92	262.17	357.64
Quarterly	9.60%	11.60%	9.92%	14.88%	13.45%	14.64%	267.68	350.27	234.00	400.68
Annual	—	—	—	—	26.89%	29.29%	234.00	400.68	178.83	524.32
Option Time Horizon	—	—	—	—	10.15%	11.05%	276.65	338.92	249.95	375.13

Calculation Notes: Computed at 2026-03-23T16:43 UTC | Reference Contract: Call option expiring 2026-05-15 (52 days) | Spot Price (S): $306.20 | Strike (K): $310.00 (first OTM call ≥ spot) | Observed Mid-Price: $11.3000 (Bid $10.6000 / Ask $12.0000) | Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.84% | Binomial IV (Annual): 26.89% (CRR binomial tree, American, n=20 steps) | BS IV: 27.08% (European Black-Scholes) | Yahoo IV (Annual): 29.29% → 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
2026-02-10	$0.6700
2025-11-12	$0.6700
2025-08-12	$0.5900
2025-05-13	$0.5900
2025-02-11	$0.5900
2024-11-12	$0.5900
2024-08-09	$0.5200
2024-05-16	$0.5200
2024-02-08	$0.5200
2023-11-08	$0.5200
2023-08-10	$0.4500
2023-05-11	$0.4500
2023-02-09	$0.4500
2022-11-09	$0.4500
2022-08-11	$0.3750
2022-05-12	$0.3750
2022-02-10	$0.3750
2021-11-10	$0.3750
2021-08-12	$0.3200
2021-05-13	$0.3200
2021-02-11	$0.3200
2020-11-12	$0.3200
2020-08-13	$0.3000
2020-05-13	$0.3000
2020-02-13	$0.3000
2019-11-14	$0.3000
2019-08-15	$0.2500
2019-05-16	$0.2500
2019-02-14	$0.2500
2018-11-15	$0.2500
2018-08-16	$0.2100
2018-05-17	$0.2100
2018-02-15	$0.2100
2017-11-16	$0.1950
2017-08-16	$0.1650
2017-05-17	$0.1650
2017-02-15	$0.1650
2016-11-16	$0.1650
2016-08-17	$0.1400
2016-05-11	$0.1400
2016-02-17	$0.1400
2015-11-10	$0.1400
2015-08-12	$0.1200
2015-05-13	$0.1200
2015-02-11	$0.1200
2014-11-12	$0.1200
2014-08-13	$0.1000
2014-05-14	$0.1000
2014-02-12	$0.1000
2013-11-13	$0.1000
2013-08-14	$0.0825
2013-05-15	$0.0825
2013-02-13	$0.0825
2012-11-14	$0.0825
2012-08-15	$0.0550
2012-05-16	$0.0550
2012-02-15	$0.0550
2011-11-16	$0.0550
2011-08-17	$0.0375
2011-05-18	$0.0375
2011-02-09	$0.0375
2010-11-17	$0.0375
2010-08-11	$0.0312
2010-05-12	$0.0312
2010-02-10	$0.0312
2009-11-12	$0.0312
2009-08-12	$0.0262
2009-05-13	$0.0262
2009-02-11	$0.0262
2008-11-12	$0.0262
2008-08-13	$0.0262

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.28. Further, an Excess Kurtosis of 9.38 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -5.29%	30	0.66%	0.66%
-5.29% to -3.95%	57	1.26%	1.92%
-3.95% to -2.60%	141	3.11%	5.03%
-2.60% to -1.26%	464	10.24%	15.28%
-1.26% to 0.09%	1526	33.69%	48.96%
0.09% to 1.43%	1648	36.38%	85.34%
1.43% to 2.78%	464	10.24%	95.58%
2.78% to 4.12%	108	2.38%	97.97%
4.12% to 5.47%	49	1.08%	99.05%
Greater than 5.47%	43	0.95%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.71%	1.88%	80.40%	68.27%
±2σ	-3.50%	3.67%	94.75%	95.45%
±3σ	-5.29%	5.47%	98.39%	99.73%

Descriptive Statistics

Mean	0.087%
Standard Error	0.027%
Median	0.120%
Mode	0.000%
Standard Deviation	1.793%
Sample Variance	3.216%
Kurtosis	9.38
Skewness	0.28
Range	28.640%
Minimum	-13.643%
Maximum	14.997%
Count	4530

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.199%	2434	53.73%	0.644%
Negative	-1.213%	2082	45.96%	-0.557%
Zero	0.000%	14	0.31%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	2.02%
20	1 Month	2.06%
60	1 Quarter	2.11%
250	1 Year	2.01%
750	3 Years	1.67%
1,250	5 Years	1.94%
2,500	10 Years	1.91%
5,000	20 Years	2.21%
12,500	50 Years	2.21%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.94. Further, an Excess Kurtosis of 26.63 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -2.81%	0	0.00%	0.00%
-2.81% to -1.59%	0	0.00%	0.00%
-1.59% to -0.37%	0	0.00%	0.00%
-0.37% to 0.86%	368	8.12%	8.12%
0.86% to 2.08%	2669	58.91%	67.03%
2.08% to 3.31%	940	20.75%	87.77%
3.31% to 4.53%	273	6.03%	93.80%
4.53% to 5.75%	132	2.91%	96.71%
5.75% to 6.98%	59	1.30%	98.01%
Greater than 6.98%	90	1.99%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.45%	3.71%	90.60%	68.27%
±2σ	-1.18%	5.34%	96.12%	95.45%
±3σ	-2.81%	6.98%	98.01%	99.73%

Descriptive Statistics

Mean	2.081%
Standard Error	0.024%
Median	1.631%
Mode	0.886%
Standard Deviation	1.632%
Sample Variance	2.662%
Kurtosis	26.63
Skewness	3.94
Range	25.117%
Minimum	0.338%
Maximum	25.455%
Count	4531

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.081%	4531	100.00%	2.081%
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 0.29. Further, an Excess Kurtosis of 9.50 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.61%	39	0.86%	0.86%
-4.61% to -3.47%	37	0.82%	1.68%
-3.47% to -2.32%	109	2.41%	4.08%
-2.32% to -1.17%	507	11.19%	15.27%
-1.17% to -0.02%	1647	36.35%	51.62%
-0.02% to 1.12%	1489	32.86%	84.48%
1.12% to 2.27%	467	10.31%	94.79%
2.27% to 3.42%	144	3.18%	97.97%
3.42% to 4.57%	54	1.19%	99.16%
Greater than 4.57%	38	0.84%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.55%	1.51%	80.14%	68.27%
±2σ	-3.08%	3.04%	95.17%	95.45%
±3σ	-4.61%	4.57%	98.30%	99.73%

Descriptive Statistics

Mean	-0.023%
Standard Error	0.023%
Median	-0.070%
Mode	0.000%
Standard Deviation	1.530%
Sample Variance	2.342%
Kurtosis	9.50
Skewness	0.29
Range	27.170%
Minimum	-12.302%
Maximum	14.868%
Count	4531

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.058%	2142	47.27%	0.500%
Negative	-1.000%	2372	52.35%	-0.524%
Zero	0.000%	17	0.38%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.31. Further, an Excess Kurtosis of 4.67 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.59%	9	0.96%	0.96%
-10.59% to -7.84%	13	1.38%	2.34%
-7.84% to -5.09%	28	2.98%	5.32%
-5.09% to -2.35%	112	11.93%	17.25%
-2.35% to 0.40%	284	30.24%	47.50%
0.40% to 3.15%	345	36.74%	84.24%
3.15% to 5.90%	106	11.29%	95.53%
5.90% to 8.64%	27	2.88%	98.40%
8.64% to 11.39%	4	0.43%	98.83%
Greater than 11.39%	11	1.17%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.26%	4.06%	78.17%	68.27%
±2σ	-6.92%	7.73%	94.46%	95.45%
±3σ	-10.59%	11.39%	97.87%	99.73%

Descriptive Statistics

Mean	0.402%
Standard Error	0.120%
Median	0.587%
Mode	0.011%
Standard Deviation	3.663%
Sample Variance	13.414%
Kurtosis	4.67
Skewness	0.31
Range	37.924%
Minimum	-15.948%
Maximum	21.976%
Count	939

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.521%	555	59.10%	1.490%
Negative	-2.673%	382	40.68%	-1.087%
Zero	0.000%	2	0.21%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	4.97%
12	1 Quarter	4.89%
52	1 Year	4.59%
156	3 Years	3.82%
260	5 Years	4.54%
520	10 Years	4.43%
1,040	20 Years	5.10%
2,600	50 Years	5.10%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.62. Further, an Excess Kurtosis of 9.00 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -6.27%	0	0.00%	0.00%
-6.27% to -3.38%	0	0.00%	0.00%
-3.38% to -0.50%	0	0.00%	0.00%
-0.50% to 2.38%	127	13.51%	13.51%
2.38% to 5.27%	493	52.45%	65.96%
5.27% to 8.15%	189	20.11%	86.06%
8.15% to 11.03%	67	7.13%	93.19%
11.03% to 13.92%	30	3.19%	96.38%
13.92% to 16.80%	7	0.74%	97.13%
Greater than 16.80%	27	2.87%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.42%	9.11%	88.72%	68.27%
±2σ	-2.42%	12.96%	95.64%	95.45%
±3σ	-6.27%	16.80%	97.13%	99.73%

Descriptive Statistics

Mean	5.266%
Standard Error	0.125%
Median	4.151%
Mode	2.177%
Standard Deviation	3.845%
Sample Variance	14.781%
Kurtosis	9.00
Skewness	2.62
Range	28.136%
Minimum	1.152%
Maximum	29.288%
Count	940

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.266%	940	100.00%	5.266%
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 0.68. Further, an Excess Kurtosis of 4.69 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.96%	9	0.96%	0.96%
-10.96% to -8.26%	4	0.43%	1.38%
-8.26% to -5.57%	26	2.77%	4.15%
-5.57% to -2.88%	107	11.38%	15.53%
-2.88% to -0.18%	377	40.11%	55.64%
-0.18% to 2.51%	266	28.30%	83.94%
2.51% to 5.21%	95	10.11%	94.04%
5.21% to 7.90%	27	2.87%	96.91%
7.90% to 10.59%	17	1.81%	98.72%
Greater than 10.59%	12	1.28%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.77%	3.41%	79.36%	68.27%
±2σ	-7.37%	7.00%	94.68%	95.45%
±3σ	-10.96%	10.59%	97.77%	99.73%

Descriptive Statistics

Mean	-0.182%
Standard Error	0.117%
Median	-0.540%
Mode	-0.825%
Standard Deviation	3.592%
Sample Variance	12.902%
Kurtosis	4.69
Skewness	0.68
Range	34.770%
Minimum	-15.562%
Maximum	19.208%
Count	940

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.787%	392	41.70%	1.162%
Negative	-2.306%	548	58.30%	-1.344%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.34. Further, an Excess Kurtosis of 2.93 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -17.54%	2	0.93%	0.93%
-17.54% to -12.74%	0	0.00%	0.93%
-12.74% to -7.95%	11	5.09%	6.02%
-7.95% to -3.15%	33	15.28%	21.30%
-3.15% to 1.65%	58	26.85%	48.15%
1.65% to 6.44%	72	33.33%	81.48%
6.44% to 11.24%	29	13.43%	94.91%
11.24% to 16.04%	8	3.70%	98.61%
16.04% to 20.83%	2	0.93%	99.54%
Greater than 20.83%	1	0.46%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.75%	8.04%	72.22%	68.27%
±2σ	-11.14%	14.44%	95.37%	95.45%
±3σ	-17.54%	20.83%	98.61%	99.73%

Descriptive Statistics

Mean	1.647%
Standard Error	0.435%
Median	2.016%
Mode	2.915%
Standard Deviation	6.395%
Sample Variance	40.893%
Kurtosis	2.93
Skewness	0.34
Range	53.395%
Minimum	-19.575%
Maximum	33.820%
Count	216

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.519%	132	61.11%	3.373%
Negative	-4.438%	84	38.89%	-1.726%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	10.11%
12	1 Year	8.76%
36	3 Years	7.96%
60	5 Years	9.51%
120	10 Years	9.40%
240	20 Years	10.57%
600	50 Years	10.57%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.25. Further, an Excess Kurtosis of 6.29 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.19%	0	0.00%	0.00%
-10.19% to -4.79%	0	0.00%	0.00%
-4.79% to 0.61%	0	0.00%	0.00%
0.61% to 6.01%	40	18.43%	18.43%
6.01% to 11.41%	100	46.08%	64.52%
11.41% to 16.81%	43	19.82%	84.33%
16.81% to 22.21%	19	8.76%	93.09%
22.21% to 27.61%	8	3.69%	96.77%
27.61% to 33.01%	0	0.00%	96.77%
Greater than 33.01%	7	3.23%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.21%	18.61%	86.64%	68.27%
±2σ	-2.99%	25.81%	95.85%	95.45%
±3σ	-10.19%	33.01%	96.77%	99.73%

Descriptive Statistics

Mean	11.412%
Standard Error	0.489%
Median	9.005%
Mode	7.770%
Standard Deviation	7.199%
Sample Variance	51.830%
Kurtosis	6.29
Skewness	2.25
Range	42.025%
Minimum	3.193%
Maximum	45.218%
Count	217

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	11.412%	217	100.00%	11.412%
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 0.55. Further, an Excess Kurtosis of 2.53 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -19.96%	1	0.46%	0.46%
-19.96% to -15.23%	1	0.46%	0.92%
-15.23% to -10.50%	7	3.23%	4.15%
-10.50% to -5.77%	33	15.21%	19.35%
-5.77% to -1.04%	78	35.94%	55.30%
-1.04% to 3.69%	55	25.35%	80.65%
3.69% to 8.43%	28	12.90%	93.55%
8.43% to 13.16%	10	4.61%	98.16%
13.16% to 17.89%	2	0.92%	99.08%
Greater than 17.89%	2	0.92%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.35%	5.27%	73.73%	68.27%
±2σ	-13.66%	11.58%	96.31%	95.45%
±3σ	-19.96%	17.89%	98.62%	99.73%

Descriptive Statistics

Mean	-1.038%
Standard Error	0.428%
Median	-1.873%
Mode	-4.995%
Standard Deviation	6.309%
Sample Variance	39.805%
Kurtosis	2.53
Skewness	0.55
Range	49.585%
Minimum	-24.434%
Maximum	25.151%
Count	217

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.031%	84	38.71%	1.948%
Negative	-4.872%	133	61.29%	-2.986%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.23. Further, an Excess Kurtosis of 1.05 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -24.36%	0	0.00%	0.00%
-24.36% to -17.16%	2	2.78%	2.78%
-17.16% to -9.96%	5	6.94%	9.72%
-9.96% to -2.77%	6	8.33%	18.06%
-2.77% to 4.43%	21	29.17%	47.22%
4.43% to 11.63%	26	36.11%	83.33%
11.63% to 18.83%	8	11.11%	94.44%
18.83% to 26.02%	3	4.17%	98.61%
26.02% to 33.22%	1	1.39%	100.00%
Greater than 33.22%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.16%	14.03%	72.22%	68.27%
±2σ	-14.76%	23.63%	95.83%	95.45%
±3σ	-24.36%	33.22%	100.00%	99.73%

Descriptive Statistics

Mean	4.432%
Standard Error	1.131%
Median	5.457%
Mode	-24.131%
Standard Deviation	9.597%
Sample Variance	92.102%
Kurtosis	1.05
Skewness	-0.23
Range	56.019%
Minimum	-24.131%
Maximum	31.888%
Count	72

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.806%	52	72.22%	6.360%
Negative	-6.938%	20	27.78%	-1.927%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	10.95%
12	3 Years	13.49%
20	5 Years	14.88%
40	10 Years	15.83%
80	20 Years	18.03%
200	50 Years	18.03%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.69. Further, an Excess Kurtosis of 9.23 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -14.26%	0	0.00%	0.00%
-14.26% to -5.55%	0	0.00%	0.00%
-5.55% to 3.15%	0	0.00%	0.00%
3.15% to 11.85%	10	13.70%	13.70%
11.85% to 20.55%	38	52.05%	65.75%
20.55% to 29.25%	17	23.29%	89.04%
29.25% to 37.96%	3	4.11%	93.15%
37.96% to 46.66%	2	2.74%	95.89%
46.66% to 55.36%	1	1.37%	97.26%
Greater than 55.36%	2	2.74%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	8.95%	32.16%	86.30%	68.27%
±2σ	-2.65%	43.76%	94.52%	95.45%
±3σ	-14.26%	55.36%	97.26%	99.73%

Descriptive Statistics

Mean	20.553%
Standard Error	1.358%
Median	18.665%
Mode	7.796%
Standard Deviation	11.603%
Sample Variance	134.633%
Kurtosis	9.23
Skewness	2.69
Range	69.387%
Minimum	7.796%
Maximum	77.183%
Count	73

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.553%	73	100.00%	20.553%
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 0.80. Further, an Excess Kurtosis of 2.42 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -33.21%	0	0.00%	0.00%
-33.21% to -25.77%	1	1.37%	1.37%
-25.77% to -18.33%	1	1.37%	2.74%
-18.33% to -10.90%	9	12.33%	15.07%
-10.90% to -3.46%	29	39.73%	54.79%
-3.46% to 3.98%	21	28.77%	83.56%
3.98% to 11.41%	5	6.85%	90.41%
11.41% to 18.85%	5	6.85%	97.26%
18.85% to 26.29%	1	1.37%	98.63%
Greater than 26.29%	1	1.37%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.38%	6.46%	76.71%	68.27%
±2σ	-23.29%	16.37%	94.52%	95.45%
±3σ	-33.21%	26.29%	98.63%	99.73%

Descriptive Statistics

Mean	-3.459%
Standard Error	1.161%
Median	-5.008%
Mode	-28.700%
Standard Deviation	9.916%
Sample Variance	98.324%
Kurtosis	2.42
Skewness	0.80
Range	61.130%
Minimum	-28.700%
Maximum	32.430%
Count	73

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.882%	21	28.77%	2.267%
Negative	-8.040%	52	71.23%	-5.727%
Zero	0.000%	0	0.00%	0.000%

V Deep Analytical Report