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%	2.61%	2.46%	2.79%	3.27%	3.28%	147.17	157.11	142.43	162.34
Weekly	6.40%	7.07%	6.16%	6.97%	7.20%	7.22%	141.50	163.41	131.67	175.61
Monthly	12.54%	15.19%	12.79%	16.31%	14.99%	15.03%	130.90	176.64	112.68	205.20
Quarterly	23.34%	32.02%	26.08%	29.56%	25.96%	26.03%	117.30	197.12	90.48	255.54
Annual	—	—	—	—	51.91%	52.06%	90.48	255.54	53.84	429.45
Option Time Horizon	—	—	—	—	19.59%	19.65%	125.00	184.97	102.76	225.01

Calculation Notes: Computed at 2026-03-23T16:31 UTC | Reference Contract: Call option expiring 2026-05-15 (52 days) | Spot Price (S): $152.06 | Strike (K): $155.00 (first OTM call ≥ spot) | Observed Mid-Price: $10.8250 (Bid $10.6500 / Ask $11.0000) | Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury) | Dividend Yield (q): 1.34% | Binomial IV (Annual): 51.91% (CRR binomial tree, American, n=20 steps) | BS IV: 52.14% (European Black-Scholes) | Yahoo IV (Annual): 52.06% → 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 15.98 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	0.63%	0.63%
-8.67% to -6.47%	86	0.85%	1.49%
-6.47% to -4.27%	329	3.26%	4.75%
-4.27% to -2.08%	1042	10.33%	15.08%
-2.08% to 0.12%	3736	37.05%	52.13%
0.12% to 2.32%	3362	33.34%	85.47%
2.32% to 4.52%	955	9.47%	94.94%
4.52% to 6.72%	298	2.96%	97.90%
6.72% to 8.91%	116	1.15%	99.05%
Greater than 8.91%	96	0.95%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.81%	3.05%	80.12%	68.27%
±2σ	-5.74%	5.98%	95.02%	95.45%
±3σ	-8.67%	8.91%	98.41%	99.73%

Descriptive Statistics

Mean	0.122%
Standard Error	0.029%
Median	0.000%
Mode	0.000%
Standard Deviation	2.931%
Sample Variance	8.594%
Kurtosis	15.98
Skewness	0.66
Range	74.905%
Minimum	-31.034%
Maximum	43.871%
Count	10084

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.040%	5032	49.90%	1.018%
Negative	-1.925%	4693	46.54%	-0.896%
Zero	0.000%	359	3.56%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	3.94%
20	1 Month	4.99%
60	1 Quarter	4.68%
250	1 Year	4.32%
750	3 Years	3.08%
1,250	5 Years	2.79%
2,500	10 Years	2.33%
5,000	20 Years	2.38%
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 -2.45%	0	0.00%	0.00%
-2.45% to -0.49%	0	0.00%	0.00%
-0.49% to 1.47%	1840	18.24%	18.24%
1.47% to 3.43%	4554	45.16%	63.40%
3.43% to 5.39%	2080	20.62%	84.03%
5.39% to 7.35%	920	9.12%	93.15%
7.35% to 9.31%	345	3.42%	96.57%
9.31% to 11.27%	156	1.55%	98.12%
Greater than 11.27%	190	1.88%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.81%	6.04%	85.84%	68.27%
±2σ	-1.80%	8.65%	95.70%	95.45%
±3σ	-4.41%	11.27%	98.13%	99.73%

Descriptive Statistics

Mean	3.427%
Standard Error	0.026%
Median	2.703%
Mode	5.000%
Standard Deviation	2.614%
Sample Variance	6.834%
Kurtosis	17.03
Skewness	2.86
Range	39.667%
Minimum	0.333%
Maximum	40.000%
Count	10085

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.427%	10085	100.00%	3.427%
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 6.76 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	0.68%	0.68%
-7.37% to -5.53%	116	1.15%	1.83%
-5.53% to -3.69%	342	3.39%	5.23%
-3.69% to -1.84%	1044	10.35%	15.58%
-1.84% to 0.00%	3812	37.80%	53.38%
0.00% to 1.85%	3080	30.54%	83.92%
1.85% to 3.69%	1060	10.51%	94.43%
3.69% to 5.54%	344	3.41%	97.84%
5.54% to 7.38%	141	1.40%	99.24%
Greater than 7.38%	77	0.76%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.46%	2.46%	78.06%	68.27%
±2σ	-4.91%	4.92%	94.23%	95.45%
±3σ	-7.37%	7.38%	98.55%	99.73%

Descriptive Statistics

Mean	0.004%
Standard Error	0.024%
Median	0.000%
Mode	0.000%
Standard Deviation	2.459%
Sample Variance	6.047%
Kurtosis	6.76
Skewness	0.13
Range	46.468%
Minimum	-21.094%
Maximum	25.374%
Count	10085

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.793%	4702	46.62%	0.836%
Negative	-1.685%	4976	49.34%	-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%	78	3.74%	5.17%
-9.01% to -4.21%	201	9.63%	14.80%
-4.21% to 0.58%	794	38.03%	52.83%
0.58% to 5.38%	658	31.51%	84.34%
5.38% to 10.18%	215	10.30%	94.64%
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	-5.81%	6.98%	78.59%	68.27%
±2σ	-12.21%	13.38%	94.64%	95.45%
±3σ	-18.61%	19.77%	98.32%	99.73%

Descriptive Statistics

Mean	0.583%
Standard Error	0.140%
Median	0.254%
Mode	0.000%
Standard Deviation	6.396%
Sample Variance	40.906%
Kurtosis	7.01
Skewness	0.77
Range	86.323%
Minimum	-35.577%
Maximum	50.746%
Count	2088

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.758%	1074	51.44%	2.447%
Negative	-3.976%	979	46.89%	-1.864%
Zero	0.000%	35	1.68%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	10.93%
12	1 Quarter	10.86%
52	1 Year	11.40%
156	3 Years	7.81%
260	5 Years	6.97%
520	10 Years	5.64%
1,040	20 Years	5.56%
2,600	50 Years	8.41%

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 20.03 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -12.35%	0	0.00%	0.00%
-12.35% to -7.05%	0	0.00%	0.00%
-7.05% to -1.75%	0	0.00%	0.00%
-1.75% to 3.55%	356	17.04%	17.04%
3.55% to 8.85%	963	46.10%	63.14%
8.85% to 14.15%	453	21.69%	84.83%
14.15% to 19.45%	173	8.28%	93.11%
19.45% to 24.75%	81	3.88%	96.98%
24.75% 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	1.78%	15.92%	86.88%	68.27%
±2σ	-5.28%	22.99%	95.93%	95.45%
±3σ	-12.35%	30.06%	98.32%	99.73%

Descriptive Statistics

Mean	8.852%
Standard Error	0.155%
Median	6.996%
Mode	11.111%
Standard Deviation	7.068%
Sample Variance	49.964%
Kurtosis	20.03
Skewness	3.18
Range	85.739%
Minimum	1.146%
Maximum	86.885%
Count	2089

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.852%	2089	100.00%	8.852%
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 7.12 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%	1.48%
-13.96% to -9.34%	70	3.35%	4.83%
-9.34% to -4.71%	239	11.44%	16.28%
-4.71% to -0.09%	730	34.94%	51.22%
-0.09% to 4.53%	712	34.08%	85.30%
4.53% to 9.15%	181	8.66%	93.97%
9.15% to 13.77%	76	3.64%	97.61%
13.77% to 18.39%	28	1.34%	98.95%
Greater than 18.39%	22	1.05%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.25%	6.07%	78.65%	68.27%
±2σ	-12.42%	12.23%	94.59%	95.45%
±3σ	-18.58%	18.39%	98.32%	99.73%

Descriptive Statistics

Mean	-0.093%
Standard Error	0.135%
Median	-0.231%
Mode	0.000%
Standard Deviation	6.162%
Sample Variance	37.975%
Kurtosis	7.12
Skewness	0.67
Range	88.887%
Minimum	-33.663%
Maximum	55.224%
Count	2089

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.339%	978	46.82%	2.031%
Negative	-4.108%	1080	51.70%	-2.124%
Zero	0.000%	31	1.48%	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 -35.18%	2	0.42%	0.42%
-35.18% to -25.77%	7	1.46%	1.88%
-25.77% to -16.37%	16	3.33%	5.21%
-16.37% to -6.96%	57	11.88%	17.08%
-6.96% to 2.45%	169	35.21%	52.29%
2.45% to 11.86%	148	30.83%	83.12%
11.86% to 21.27%	52	10.83%	93.96%
21.27% to 30.67%	20	4.17%	98.12%
30.67% to 40.08%	2	0.42%	98.54%
Greater than 40.08%	7	1.46%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-10.10%	14.99%	78.33%	68.27%
±2σ	-22.64%	27.54%	93.96%	95.45%
±3σ	-35.18%	40.08%	98.12%	99.73%

Descriptive Statistics

Mean	2.449%
Standard Error	0.573%
Median	2.240%
Mode	0.000%
Standard Deviation	12.544%
Sample Variance	157.350%
Kurtosis	3.06
Skewness	0.46
Range	109.340%
Minimum	-44.086%
Maximum	65.254%
Count	480

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.801%	281	58.54%	5.738%
Negative	-8.137%	194	40.42%	-3.289%
Zero	0.000%	5	1.04%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	22.02%
12	1 Year	26.14%
36	3 Years	18.42%
60	5 Years	16.31%
120	10 Years	12.77%
240	20 Years	12.16%
600	50 Years	17.86%

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 18.15 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -25.49%	0	0.00%	0.00%
-25.49% to -14.10%	0	0.00%	0.00%
-14.10% to -2.70%	0	0.00%	0.00%
-2.70% to 8.69%	76	15.80%	15.80%
8.69% to 20.09%	228	47.40%	63.20%
20.09% to 31.48%	103	21.41%	84.62%
31.48% to 42.87%	43	8.94%	93.56%
42.87% to 54.27%	13	2.70%	96.26%
54.27% to 65.66%	13	2.70%	98.96%
Greater than 65.66%	5	1.04%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.89%	35.28%	86.49%	68.27%
±2σ	-10.30%	50.47%	95.43%	95.45%
±3σ	-25.49%	65.66%	98.96%	99.73%

Descriptive Statistics

Mean	20.085%
Standard Error	0.693%
Median	16.129%
Mode	20.000%
Standard Deviation	15.192%
Sample Variance	230.784%
Kurtosis	18.15
Skewness	3.12
Range	146.568%
Minimum	2.612%
Maximum	149.180%
Count	481

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.085%	481	100.00%	20.085%
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 -29.49%	6	1.25%	1.25%
-29.49% to -19.90%	15	3.12%	4.37%
-19.90% to -10.30%	62	12.89%	17.26%
-10.30% to -0.71%	182	37.84%	55.09%
-0.71% to 8.88%	145	30.15%	85.24%
8.88% to 18.47%	40	8.32%	93.56%
18.47% to 28.07%	17	3.53%	97.09%
28.07% to 37.66%	6	1.25%	98.34%
Greater than 37.66%	8	1.66%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.50%	12.08%	79.63%	68.27%
±2σ	-26.29%	24.87%	95.01%	95.45%
±3σ	-39.08%	37.66%	98.34%	99.73%

Descriptive Statistics

Mean	-0.711%
Standard Error	0.583%
Median	-1.722%
Mode	-12.500%
Standard Deviation	12.790%
Sample Variance	163.577%
Kurtosis	5.72
Skewness	1.35
Range	117.775%
Minimum	-38.929%
Maximum	78.846%
Count	481

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.864%	198	41.16%	4.060%
Negative	-8.226%	279	58.00%	-4.771%
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 4.05 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -62.52%	1	0.62%	0.62%
-62.52% to -45.02%	0	0.00%	0.62%
-45.02% to -27.52%	5	3.12%	3.75%
-27.52% to -10.02%	16	10.00%	13.75%
-10.02% to 7.48%	67	41.88%	55.62%
7.48% to 24.98%	52	32.50%	88.12%
24.98% to 42.48%	8	5.00%	93.12%
42.48% to 59.98%	4	2.50%	95.62%
59.98% to 77.48%	4	2.50%	98.12%
Greater than 77.48%	3	1.88%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-15.86%	30.82%	81.25%	68.27%
±2σ	-39.19%	54.15%	93.75%	95.45%
±3σ	-62.52%	77.48%	97.50%	99.73%

Descriptive Statistics

Mean	7.480%
Standard Error	1.845%
Median	4.652%
Mode	-25.000%
Standard Deviation	23.335%
Sample Variance	544.538%
Kurtosis	4.05
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	-13.053%	53	33.12%	-4.324%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	48.45%
12	3 Years	35.55%
20	5 Years	29.56%
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 -56.73%	0	0.00%	0.00%
-56.73% to -32.72%	0	0.00%	0.00%
-32.72% to -8.70%	0	0.00%	0.00%
-8.70% to 15.32%	19	11.80%	11.80%
15.32% to 39.33%	86	53.42%	65.22%
39.33% to 63.35%	30	18.63%	83.85%
63.35% to 87.37%	16	9.94%	93.79%
87.37% 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	-24.71%	103.38%	96.27%	95.45%
±3σ	-56.73%	135.40%	97.52%	99.73%

Descriptive Statistics

Mean	39.333%
Standard Error	2.524%
Median	29.178%
Mode	8.354%
Standard Deviation	32.022%
Sample Variance	1025.386%
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	39.333%	161	100.00%	39.333%
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 4.00. Further, an Excess Kurtosis of 29.64 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -80.27%	0	0.00%	0.00%
-80.27% to -60.71%	0	0.00%	0.00%
-60.71% to -41.16%	5	3.11%	3.11%
-41.16% to -21.60%	11	6.83%	9.94%
-21.60% to -2.04%	78	48.45%	58.39%
-2.04% to 17.52%	52	32.30%	90.68%
17.52% to 37.08%	8	4.97%	95.65%
37.08% to 56.64%	2	1.24%	96.89%
56.64% to 76.20%	3	1.86%	98.76%
Greater than 76.20%	2	1.24%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-28.12%	24.04%	85.71%	68.27%
±2σ	-54.19%	50.12%	96.27%	95.45%
±3σ	-80.27%	76.20%	98.76%	99.73%

Descriptive Statistics

Mean	-2.038%
Standard Error	2.055%
Median	-4.348%
Mode	-5.926%
Standard Deviation	26.078%
Sample Variance	680.046%
Kurtosis	29.64
Skewness	4.00
Range	265.784%
Minimum	-51.830%
Maximum	213.954%
Count	161

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.313%	52	32.30%	6.561%
Negative	-12.701%	109	67.70%	-8.599%
Zero	0.000%	0	0.00%	0.000%

ORCL Deep Analytical Report