ORCL - 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	2.93%	2.62%	2.46%	2.75%	4.16%	4.17%	142.04	154.37	136.25	160.94
Weekly	6.40%	7.07%	6.16%	6.91%	9.16%	9.18%	135.11	162.29	123.28	177.87
Monthly	12.55%	15.21%	12.79%	16.19%	19.08%	19.11%	122.36	179.20	101.11	216.87
Quarterly	23.35%	32.02%	26.09%	29.55%	33.04%	33.11%	106.41	206.06	76.47	286.74
Annual	—	—	—	—	66.08%	66.21%	76.47	286.74	39.49	555.24
Option Time Horizon	—	—	—	—	25.42%	25.47%	114.84	190.93	89.07	246.19

Calculation Notes: Computed at 2026-02-22T14:17 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $148.08 | Strike (K): $150.00 (first OTM call ≥ spot) | Observed Mid-Price: $14.3000 (Bid $14.1000 / Ask $14.5000) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 1.28% | Binomial IV (Annual): 66.08% (CRR binomial tree, American, n=20 steps) | BS IV: 65.91% (European Black-Scholes) | Yahoo IV (Annual): 66.21% → 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
2026-01-09	$0.5000
2025-10-09	$0.5000
2025-07-10	$0.5000
2025-04-10	$0.5000
2025-01-10	$0.4000
2024-10-10	$0.4000
2024-07-11	$0.4000
2024-04-09	$0.4000
2024-01-10	$0.4000
2023-10-11	$0.4000
2023-07-11	$0.4000
2023-04-10	$0.4000
2023-01-09	$0.3200
2022-10-11	$0.3200
2022-07-11	$0.3200
2022-04-07	$0.3200
2022-01-06	$0.3200
2021-10-08	$0.3200
2021-07-14	$0.3200
2021-04-07	$0.3200
2021-01-06	$0.2400
2020-10-07	$0.2400
2020-07-14	$0.2400
2020-04-08	$0.2400
2020-01-08	$0.2400
2019-10-09	$0.2400
2019-07-16	$0.2400
2019-04-10	$0.2400
2019-01-15	$0.1900
2018-10-15	$0.1900
2018-07-16	$0.1900
2018-04-16	$0.1900
2018-01-09	$0.1900
2017-10-10	$0.1900
2017-07-17	$0.1900
2017-04-10	$0.1900
2017-01-03	$0.1500
2016-10-07	$0.1500
2016-07-01	$0.1500
2016-04-12	$0.1500
2016-01-04	$0.1500
2015-10-09	$0.1500
2015-07-06	$0.1500
2015-04-02	$0.1500
2015-01-05	$0.1200
2014-10-06	$0.1200
2014-07-07	$0.1200
2014-04-04	$0.1200
2014-01-03	$0.1200
2013-10-04	$0.1200
2013-07-10	$0.1200
2012-12-12	$0.1800
2012-10-10	$0.0600
2012-07-11	$0.0600
2012-04-09	$0.0600
2012-01-09	$0.0600
2011-10-07	$0.0600
2011-07-11	$0.0600
2011-04-11	$0.0600
2011-01-14	$0.0500
2010-10-04	$0.0500
2010-07-12	$0.0500
2010-04-12	$0.0500
2010-01-14	$0.0500
2009-10-09	$0.0500
2009-07-13	$0.0500
2009-04-06	$0.0500

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.66. Further, an Excess Kurtosis of 16.01 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.67%	64	0.64%	0.64%
-8.67% to -6.47%	86	0.85%	1.49%
-6.47% to -4.27%	328	3.26%	4.75%
-4.27% to -2.08%	1038	10.32%	15.07%
-2.08% to 0.12%	3730	37.07%	52.13%
0.12% to 2.32%	3356	33.35%	85.48%
2.32% to 4.52%	952	9.46%	94.94%
4.52% to 6.72%	298	2.96%	97.90%
6.72% to 8.91%	116	1.15%	99.06%
Greater than 8.91%	95	0.94%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.81%	3.05%	80.13%	68.27%
±2σ	-5.74%	5.98%	95.02%	95.45%
±3σ	-8.67%	8.91%	98.42%	99.73%

Descriptive Statistics

Mean	0.122%
Standard Error	0.029%
Median	0.000%
Mode	0.000%
Standard Deviation	2.931%
Sample Variance	8.593%
Kurtosis	16.01
Skewness	0.66
Range	74.905%
Minimum	-31.034%
Maximum	43.871%
Count	10063

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.039%	5022	49.91%	1.018%
Negative	-1.925%	4682	46.53%	-0.896%
Zero	0.000%	359	3.57%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	4.31%
20	1 Month	5.45%
60	1 Quarter	4.71%
250	1 Year	4.25%
750	3 Years	3.01%
1,250	5 Years	2.75%
2,500	10 Years	2.30%
5,000	20 Years	2.37%
12,500	50 Years	3.57%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.86. Further, an Excess Kurtosis of 17.03 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.42%	0	0.00%	0.00%
-4.42% to -2.46%	0	0.00%	0.00%
-2.46% to -0.50%	0	0.00%	0.00%
-0.50% to 1.46%	1823	18.11%	18.11%
1.46% to 3.42%	4563	45.34%	63.45%
3.42% to 5.39%	2073	20.60%	84.05%
5.39% to 7.35%	914	9.08%	93.13%
7.35% to 9.31%	345	3.43%	96.56%
9.31% to 11.27%	158	1.57%	98.13%
Greater than 11.27%	188	1.87%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.81%	6.04%	85.91%	68.27%
±2σ	-1.81%	8.66%	95.69%	95.45%
±3σ	-4.42%	11.27%	98.13%	99.73%

Descriptive Statistics

Mean	3.425%
Standard Error	0.026%
Median	2.702%
Mode	5.000%
Standard Deviation	2.616%
Sample Variance	6.842%
Kurtosis	17.03
Skewness	2.86
Range	39.667%
Minimum	0.333%
Maximum	40.000%
Count	10064

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.425%	10064	100.00%	3.425%
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 0.13. Further, an Excess Kurtosis of 6.77 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.37%	69	0.69%	0.69%
-7.37% to -5.53%	116	1.15%	1.84%
-5.53% to -3.68%	341	3.39%	5.23%
-3.68% to -1.84%	1041	10.34%	15.57%
-1.84% to 0.01%	3805	37.81%	53.38%
0.01% to 1.85%	3076	30.56%	83.94%
1.85% to 3.69%	1054	10.47%	94.42%
3.69% to 5.54%	344	3.42%	97.83%
5.54% to 7.38%	141	1.40%	99.23%
Greater than 7.38%	77	0.77%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.45%	2.46%	78.09%	68.27%
±2σ	-4.91%	4.92%	94.25%	95.45%
±3σ	-7.37%	7.38%	98.55%	99.73%

Descriptive Statistics

Mean	0.005%
Standard Error	0.025%
Median	0.000%
Mode	0.000%
Standard Deviation	2.459%
Sample Variance	6.048%
Kurtosis	6.77
Skewness	0.13
Range	46.468%
Minimum	-21.094%
Maximum	25.374%
Count	10064

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.793%	4692	46.62%	0.836%
Negative	-1.684%	4965	49.33%	-0.831%
Zero	0.000%	407	4.04%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.77. Further, an Excess Kurtosis of 7.01 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -18.61%	11	0.53%	0.53%
-18.61% to -13.81%	19	0.91%	1.44%
-13.81% to -9.01%	77	3.69%	5.13%
-9.01% to -4.22%	202	9.69%	14.83%
-4.22% to 0.58%	792	38.00%	52.83%
0.58% to 5.38%	657	31.53%	84.36%
5.38% to 10.18%	214	10.27%	94.63%
10.18% to 14.97%	67	3.21%	97.84%
14.97% to 19.77%	21	1.01%	98.85%
Greater than 19.77%	24	1.15%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.82%	6.98%	78.55%	68.27%
±2σ	-12.21%	13.38%	94.63%	95.45%
±3σ	-18.61%	19.77%	98.32%	99.73%

Descriptive Statistics

Mean	0.582%
Standard Error	0.140%
Median	0.253%
Mode	0.000%
Standard Deviation	6.397%
Sample Variance	40.926%
Kurtosis	7.01
Skewness	0.77
Range	86.323%
Minimum	-35.577%
Maximum	50.746%
Count	2084

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.762%	1071	51.39%	2.447%
Negative	-3.974%	978	46.93%	-1.865%
Zero	0.000%	35	1.68%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	11.08%
12	1 Quarter	10.77%
52	1 Year	11.14%
156	3 Years	7.66%
260	5 Years	6.91%
520	10 Years	5.58%
1,040	20 Years	5.53%
2,600	50 Years	8.40%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.18. Further, an Excess Kurtosis of 20.04 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -12.37%	0	0.00%	0.00%
-12.37% to -7.07%	0	0.00%	0.00%
-7.07% to -1.76%	0	0.00%	0.00%
-1.76% to 3.54%	354	16.98%	16.98%
3.54% to 8.84%	965	46.28%	63.26%
8.84% to 14.15%	451	21.63%	84.89%
14.15% to 19.45%	170	8.15%	93.05%
19.45% to 24.76%	82	3.93%	96.98%
24.76% to 30.06%	28	1.34%	98.32%
Greater than 30.06%	35	1.68%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.77%	15.92%	86.95%	68.27%
±2σ	-5.30%	22.99%	95.92%	95.45%
±3σ	-12.37%	30.06%	98.32%	99.73%

Descriptive Statistics

Mean	8.844%
Standard Error	0.155%
Median	6.987%
Mode	11.111%
Standard Deviation	7.072%
Sample Variance	50.011%
Kurtosis	20.04
Skewness	3.18
Range	85.739%
Minimum	1.146%
Maximum	86.885%
Count	2085

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.844%	2085	100.00%	8.844%
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 0.67. Further, an Excess Kurtosis of 7.13 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -18.58%	13	0.62%	0.62%
-18.58% to -13.96%	18	0.86%	1.49%
-13.96% to -9.33%	71	3.41%	4.89%
-9.33% to -4.71%	237	11.37%	16.26%
-4.71% to -0.09%	728	34.92%	51.18%
-0.09% to 4.53%	711	34.10%	85.28%
4.53% to 9.15%	182	8.73%	94.00%
9.15% to 13.77%	75	3.60%	97.60%
13.77% to 18.39%	28	1.34%	98.94%
Greater than 18.39%	22	1.06%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.25%	6.07%	78.61%	68.27%
±2σ	-12.41%	12.23%	94.58%	95.45%
±3σ	-18.58%	18.39%	98.32%	99.73%

Descriptive Statistics

Mean	-0.091%
Standard Error	0.135%
Median	-0.229%
Mode	0.000%
Standard Deviation	6.162%
Sample Variance	37.976%
Kurtosis	7.13
Skewness	0.67
Range	88.887%
Minimum	-33.663%
Maximum	55.224%
Count	2085

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.336%	977	46.86%	2.032%
Negative	-4.109%	1077	51.66%	-2.123%
Zero	0.000%	31	1.49%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.46. Further, an Excess Kurtosis of 3.06 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -35.21%	2	0.42%	0.42%
-35.21% to -25.80%	7	1.46%	1.88%
-25.80% to -16.38%	16	3.34%	5.22%
-16.38% to -6.97%	57	11.90%	17.12%
-6.97% to 2.45%	169	35.28%	52.40%
2.45% to 11.86%	147	30.69%	83.09%
11.86% to 21.28%	52	10.86%	93.95%
21.28% to 30.69%	20	4.18%	98.12%
30.69% to 40.10%	2	0.42%	98.54%
Greater than 40.10%	7	1.46%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-10.11%	15.00%	78.50%	68.27%
±2σ	-22.66%	27.55%	93.95%	95.45%
±3σ	-35.21%	40.11%	98.12%	99.73%

Descriptive Statistics

Mean	2.446%
Standard Error	0.574%
Median	2.233%
Mode	0.000%
Standard Deviation	12.553%
Sample Variance	157.569%
Kurtosis	3.06
Skewness	0.46
Range	109.340%
Minimum	-44.086%
Maximum	65.254%
Count	479

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.817%	280	58.45%	5.739%
Negative	-8.129%	194	40.50%	-3.292%
Zero	0.000%	5	1.04%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	22.84%
12	1 Year	25.85%
36	3 Years	18.18%
60	5 Years	16.19%
120	10 Years	12.71%
240	20 Years	12.12%
600	50 Years	17.85%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.12. Further, an Excess Kurtosis of 18.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -25.54%	0	0.00%	0.00%
-25.54% to -14.13%	0	0.00%	0.00%
-14.13% to -2.73%	0	0.00%	0.00%
-2.73% to 8.68%	76	15.83%	15.83%
8.68% to 20.08%	228	47.50%	63.33%
20.08% to 31.49%	102	21.25%	84.58%
31.49% to 42.89%	43	8.96%	93.54%
42.89% to 54.30%	13	2.71%	96.25%
54.30% to 65.70%	13	2.71%	98.96%
Greater than 65.70%	5	1.04%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.88%	35.29%	86.46%	68.27%
±2σ	-10.33%	50.50%	95.42%	95.45%
±3σ	-25.54%	65.70%	98.96%	99.73%

Descriptive Statistics

Mean	20.082%
Standard Error	0.694%
Median	16.100%
Mode	20.000%
Standard Deviation	15.207%
Sample Variance	231.260%
Kurtosis	18.11
Skewness	3.12
Range	146.568%
Minimum	2.612%
Maximum	149.180%
Count	480

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.082%	480	100.00%	20.082%
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 1.35. Further, an Excess Kurtosis of 5.72 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -39.08%	0	0.00%	0.00%
-39.08% to -29.48%	6	1.25%	1.25%
-29.48% to -19.89%	15	3.12%	4.38%
-19.89% to -10.30%	62	12.92%	17.29%
-10.30% to -0.70%	181	37.71%	55.00%
-0.70% to 8.89%	145	30.21%	85.21%
8.89% to 18.49%	40	8.33%	93.54%
18.49% to 28.08%	17	3.54%	97.08%
28.08% to 37.68%	6	1.25%	98.33%
Greater than 37.68%	8	1.67%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.49%	12.09%	79.58%	68.27%
±2σ	-26.29%	24.88%	95.00%	95.45%
±3σ	-39.08%	37.68%	98.33%	99.73%

Descriptive Statistics

Mean	-0.701%
Standard Error	0.584%
Median	-1.682%
Mode	-12.500%
Standard Deviation	12.793%
Sample Variance	163.665%
Kurtosis	5.72
Skewness	1.35
Range	117.775%
Minimum	-38.929%
Maximum	78.846%
Count	480

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.853%	198	41.25%	4.064%
Negative	-8.228%	278	57.92%	-4.765%
Zero	0.000%	4	0.83%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.06. Further, an Excess Kurtosis of 4.04 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -62.59%	1	0.62%	0.62%
-62.59% to -45.08%	0	0.00%	0.62%
-45.08% to -27.56%	5	3.12%	3.75%
-27.56% to -10.05%	16	10.00%	13.75%
-10.05% to 7.46%	67	41.88%	55.62%
7.46% to 24.97%	52	32.50%	88.12%
24.97% to 42.48%	8	5.00%	93.12%
42.48% to 59.99%	4	2.50%	95.62%
59.99% to 77.51%	4	2.50%	98.12%
Greater than 77.51%	3	1.88%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-15.89%	30.81%	81.25%	68.27%
±2σ	-39.24%	54.16%	93.75%	95.45%
±3σ	-62.59%	77.51%	97.50%	99.73%

Descriptive Statistics

Mean	7.460%
Standard Error	1.846%
Median	4.652%
Mode	-25.000%
Standard Deviation	23.349%
Sample Variance	545.179%
Kurtosis	4.04
Skewness	1.06
Range	178.200%
Minimum	-68.148%
Maximum	110.052%
Count	160

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	17.651%	107	66.88%	11.804%
Negative	-13.114%	53	33.12%	-4.344%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	48.37%
12	3 Years	35.52%
20	5 Years	29.55%
40	10 Years	22.62%
80	20 Years	21.03%
200	50 Years	32.28%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.01. Further, an Excess Kurtosis of 14.27 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -56.74%	0	0.00%	0.00%
-56.74% to -32.72%	0	0.00%	0.00%
-32.72% to -8.71%	0	0.00%	0.00%
-8.71% to 15.31%	19	11.80%	11.80%
15.31% to 39.33%	86	53.42%	65.22%
39.33% to 63.35%	30	18.63%	83.85%
63.35% to 87.36%	16	9.94%	93.79%
87.36% to 111.38%	6	3.73%	97.52%
111.38% to 135.40%	0	0.00%	97.52%
Greater than 135.40%	4	2.48%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	7.31%	71.35%	86.96%	68.27%
±2σ	-24.72%	103.38%	96.27%	95.45%
±3σ	-56.74%	135.40%	97.52%	99.73%

Descriptive Statistics

Mean	39.330%
Standard Error	2.524%
Median	29.178%
Mode	8.354%
Standard Deviation	32.023%
Sample Variance	1025.451%
Kurtosis	14.27
Skewness	3.01
Range	248.057%
Minimum	8.354%
Maximum	256.411%
Count	161

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	39.330%	161	100.00%	39.330%
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 3.99. Further, an Excess Kurtosis of 29.55 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -80.29%	0	0.00%	0.00%
-80.29% to -60.72%	0	0.00%	0.00%
-60.72% to -41.15%	5	3.11%	3.11%
-41.15% to -21.58%	11	6.83%	9.94%
-21.58% to -2.01%	78	48.45%	58.39%
-2.01% to 17.56%	52	32.30%	90.68%
17.56% to 37.12%	8	4.97%	95.65%
37.12% to 56.69%	2	1.24%	96.89%
56.69% to 76.26%	3	1.86%	98.76%
Greater than 76.26%	2	1.24%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-28.10%	24.08%	85.71%	68.27%
±2σ	-54.20%	50.17%	96.27%	95.45%
±3σ	-80.29%	76.26%	98.76%	99.73%

Descriptive Statistics

Mean	-2.013%
Standard Error	2.056%
Median	-4.348%
Mode	-5.926%
Standard Deviation	26.092%
Sample Variance	680.813%
Kurtosis	29.55
Skewness	3.99
Range	265.784%
Minimum	-51.830%
Maximum	213.954%
Count	161

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.389%	52	32.30%	6.585%
Negative	-12.701%	109	67.70%	-8.599%
Zero	0.000%	0	0.00%	0.000%

ORCL Deep Analytical Report