RCL - 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	3.02%	2.73%	2.42%	3.96%	2.59%	2.75%	307.03	323.36	299.18	331.85
Weekly	6.67%	7.70%	6.91%	9.60%	5.70%	6.06%	297.62	333.58	281.12	353.16
Monthly	14.28%	25.03%	17.44%	21.48%	11.87%	12.62%	279.81	354.81	248.49	399.54
Quarterly	24.84%	55.24%	30.60%	40.48%	20.57%	21.85%	256.52	387.03	208.84	475.40
Annual	—	—	—	—	41.13%	43.70%	208.84	475.40	138.42	717.27
Option Time Horizon	—	—	—	—	15.82%	16.81%	268.99	369.10	229.63	432.36

Calculation Notes: Computed at 2026-02-22T14:24 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $315.09 | Strike (K): $320.00 (first OTM call ≥ spot) | Observed Mid-Price: $18.2500 (Bid $17.4000 / Ask $19.1000) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 1.13% | Binomial IV (Annual): 41.13% (CRR binomial tree, American, n=20 steps) | BS IV: 41.31% (European Black-Scholes) | Yahoo IV (Annual): 43.70% → 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
2025-12-26	$1.0000
2025-09-25	$1.0000
2025-06-04	$0.7500
2025-03-07	$0.7500
2024-12-27	$0.5500
2024-09-20	$0.4000
2020-03-05	$0.7800
2019-12-19	$0.7800
2019-09-19	$0.7800
2019-06-03	$0.7000
2019-03-06	$0.7000
2018-12-19	$0.7000
2018-09-20	$0.7000
2018-06-01	$0.6000
2018-03-06	$0.6000
2017-12-20	$0.6000
2017-09-21	$0.6000
2017-05-31	$0.4800
2017-03-03	$0.4800
2016-12-19	$0.4800
2016-09-27	$0.4800
2016-05-26	$0.3750
2016-02-18	$0.3750
2015-12-17	$0.3750
2015-09-16	$0.3750
2015-05-15	$0.3000
2015-02-13	$0.3000
2014-12-18	$0.3000
2014-09-18	$0.3000
2014-05-16	$0.2500
2014-02-13	$0.2500
2013-12-12	$0.2500
2013-09-20	$0.2500
2013-05-17	$0.1200
2013-02-19	$0.1200
2012-12-13	$0.1200
2012-09-21	$0.1200
2012-05-18	$0.1000
2012-02-27	$0.1000
2011-12-20	$0.1000
2011-08-10	$0.1000
2008-09-11	$0.1500
2008-06-04	$0.1500
2008-03-13	$0.1500
2007-12-26	$0.1500
2007-09-26	$0.1500
2007-06-15	$0.1500
2007-02-27	$0.1500
2006-12-20	$0.1500
2006-09-27	$0.1500
2006-06-07	$0.1500
2006-02-27	$0.1500
2005-12-14	$0.1500
2005-09-22	$0.1500
2005-06-08	$0.1300
2005-02-25	$0.1300
2004-12-21	$0.1300
2004-09-09	$0.1300
2004-05-27	$0.1300
2004-02-26	$0.1300
2003-12-17	$0.1300
2003-09-24	$0.1300
2003-06-02	$0.1300
2003-02-27	$0.1300
2002-12-11	$0.1300
2002-09-13	$0.1300
2002-06-03	$0.1300
2002-03-14	$0.1300
2001-12-13	$0.1300
2001-09-17	$0.1300
2001-06-04	$0.1300
2001-02-27	$0.1300
2000-12-15	$0.1300
2000-09-14	$0.1300
2000-06-05	$0.1100
2000-02-28	$0.1100
1999-12-01	$0.1100
1999-09-09	$0.1100
1999-05-28	$0.0900
1999-04-28	$0.0910
1999-02-25	$0.0900
1998-12-16	$0.0900
1998-08-28	$0.0900
1998-05-29	$0.0750
1998-02-26	$0.0750
1997-12-17	$0.0750
1997-08-28	$0.0750
1997-05-29	$0.0700
1997-03-06	$0.0700
1996-11-27	$0.0700
1996-09-12	$0.0700
1996-05-28	$0.0650
1996-02-28	$0.0650
1995-11-29	$0.0650
1995-08-30	$0.0575
1995-05-25	$0.0550
1995-02-23	$0.0550
1994-11-25	$0.0550
1994-08-26	$0.0550
1994-05-25	$0.0450
1994-02-23	$0.0450
1993-11-24	$0.0450
1993-08-26	$0.0900

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.06. Further, an Excess Kurtosis of 14.35 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.97%	64	0.78%	0.78%
-8.97% to -6.71%	84	1.02%	1.79%
-6.71% to -4.44%	202	2.45%	4.24%
-4.44% to -2.17%	791	9.58%	13.82%
-2.17% to 0.09%	3171	38.41%	52.23%
0.09% to 2.36%	2791	33.81%	86.03%
2.36% to 4.63%	771	9.34%	95.37%
4.63% to 6.90%	209	2.53%	97.90%
6.90% to 9.16%	94	1.14%	99.04%
Greater than 9.16%	79	0.96%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.93%	3.12%	81.46%	68.27%
±2σ	-5.95%	6.14%	95.03%	95.45%
±3σ	-8.98%	9.16%	98.27%	99.73%

Descriptive Statistics

Mean	0.094%
Standard Error	0.033%
Median	0.000%
Mode	0.000%
Standard Deviation	3.023%
Sample Variance	9.138%
Kurtosis	14.35
Skewness	0.06
Range	68.540%
Minimum	-39.754%
Maximum	28.786%
Count	8256

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.065%	4059	49.16%	1.015%
Negative	-1.927%	3945	47.78%	-0.921%
Zero	0.000%	252	3.05%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	3.56%
20	1 Month	4.82%
60	1 Quarter	4.00%
250	1 Year	3.84%
750	3 Years	3.35%
1,250	5 Years	3.96%
2,500	10 Years	3.80%
5,000	20 Years	3.79%
12,500	50 Years	3.45%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.97. Further, an Excess Kurtosis of 26.95 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.98%	0	0.00%	0.00%
-4.98% to -2.93%	0	0.00%	0.00%
-2.93% to -0.89%	0	0.00%	0.00%
-0.89% to 1.16%	820	9.93%	9.93%
1.16% to 3.21%	4634	56.12%	66.05%
3.21% to 5.26%	1756	21.27%	87.32%
5.26% to 7.31%	548	6.64%	93.96%
7.31% to 9.36%	239	2.89%	96.85%
9.36% to 11.41%	104	1.26%	98.11%
Greater than 11.41%	156	1.89%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.48%	5.95%	89.77%	68.27%
±2σ	-2.25%	8.68%	96.20%	95.45%
±3σ	-4.98%	11.41%	98.11%	99.73%

Descriptive Statistics

Mean	3.213%
Standard Error	0.030%
Median	2.479%
Mode	1.471%
Standard Deviation	2.732%
Sample Variance	7.462%
Kurtosis	26.95
Skewness	3.97
Range	36.272%
Minimum	0.351%
Maximum	36.623%
Count	8257

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.213%	8257	100.00%	3.213%
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 8.16 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.23%	61	0.74%	0.74%
-7.23% to -5.41%	78	0.94%	1.68%
-5.41% to -3.59%	244	2.96%	4.64%
-3.59% to -1.78%	901	10.91%	15.55%
-1.78% to 0.04%	3026	36.65%	52.20%
0.04% to 1.86%	2712	32.84%	85.04%
1.86% to 3.68%	815	9.87%	94.91%
3.68% to 5.50%	251	3.04%	97.95%
5.50% to 7.32%	92	1.11%	99.07%
Greater than 7.32%	77	0.93%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.38%	2.47%	79.63%	68.27%
±2σ	-4.81%	4.89%	95.06%	95.45%
±3σ	-7.23%	7.32%	98.33%	99.73%

Descriptive Statistics

Mean	0.043%
Standard Error	0.027%
Median	0.000%
Mode	0.000%
Standard Deviation	2.425%
Sample Variance	5.879%
Kurtosis	8.16
Skewness	0.55
Range	39.994%
Minimum	-16.679%
Maximum	23.315%
Count	8257

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.727%	3988	48.30%	0.834%
Negative	-1.624%	4024	48.73%	-0.791%
Zero	0.000%	245	2.97%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.11. Further, an Excess Kurtosis of 5.99 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -19.55%	14	0.82%	0.82%
-19.55% to -14.55%	20	1.17%	1.99%
-14.55% to -9.55%	53	3.10%	5.08%
-9.55% to -4.54%	177	10.34%	15.42%
-4.54% to 0.46%	578	33.76%	49.18%
0.46% to 5.46%	600	35.05%	84.23%
5.46% to 10.47%	188	10.98%	95.21%
10.47% to 15.47%	52	3.04%	98.25%
15.47% to 20.48%	15	0.88%	99.12%
Greater than 20.48%	15	0.88%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.21%	7.13%	79.15%	68.27%
±2σ	-12.88%	13.80%	94.45%	95.45%
±3σ	-19.55%	20.48%	98.31%	99.73%

Descriptive Statistics

Mean	0.461%
Standard Error	0.161%
Median	0.508%
Mode	0.000%
Standard Deviation	6.672%
Sample Variance	44.518%
Kurtosis	5.99
Skewness	-0.11
Range	78.005%
Minimum	-39.754%
Maximum	38.251%
Count	1712

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.683%	919	53.68%	2.514%
Negative	-4.577%	768	44.86%	-2.053%
Zero	0.000%	25	1.46%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	11.92%
12	1 Quarter	10.49%
52	1 Year	9.63%
156	3 Years	8.12%
260	5 Years	9.60%
520	10 Years	9.14%
1,040	20 Years	9.08%
2,600	50 Years	8.46%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.91. Further, an Excess Kurtosis of 24.30 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -14.24%	0	0.00%	0.00%
-14.24% to -8.46%	0	0.00%	0.00%
-8.46% to -2.68%	0	0.00%	0.00%
-2.68% to 3.10%	147	8.58%	8.58%
3.10% to 8.88%	1002	58.49%	67.08%
8.88% to 14.65%	342	19.96%	87.04%
14.65% to 20.43%	126	7.36%	94.40%
20.43% to 26.21%	44	2.57%	96.96%
26.21% to 31.99%	21	1.23%	98.19%
Greater than 31.99%	31	1.81%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.17%	16.58%	89.84%	68.27%
±2σ	-6.53%	24.28%	96.32%	95.45%
±3σ	-14.24%	31.99%	98.19%	99.73%

Descriptive Statistics

Mean	8.876%
Standard Error	0.186%
Median	6.731%
Mode	5.000%
Standard Deviation	7.704%
Sample Variance	59.357%
Kurtosis	24.30
Skewness	3.91
Range	83.258%
Minimum	0.943%
Maximum	84.201%
Count	1713

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.876%	1713	100.00%	8.876%
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 2.30. Further, an Excess Kurtosis of 18.61 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -20.57%	7	0.41%	0.41%
-20.57% to -15.39%	10	0.58%	0.99%
-15.39% to -10.21%	44	2.57%	3.56%
-10.21% to -5.04%	198	11.56%	15.12%
-5.04% to 0.14%	688	40.16%	55.28%
0.14% to 5.32%	520	30.36%	85.64%
5.32% to 10.50%	162	9.46%	95.10%
10.50% to 15.68%	43	2.51%	97.61%
15.68% to 20.86%	20	1.17%	98.77%
Greater than 20.86%	21	1.23%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.76%	7.05%	81.55%	68.27%
±2σ	-13.67%	13.95%	95.33%	95.45%
±3σ	-20.57%	20.86%	98.37%	99.73%

Descriptive Statistics

Mean	0.144%
Standard Error	0.167%
Median	-0.401%
Mode	0.000%
Standard Deviation	6.905%
Sample Variance	47.678%
Kurtosis	18.61
Skewness	2.30
Range	95.007%
Minimum	-24.566%
Maximum	70.441%
Count	1713

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.034%	787	45.94%	2.313%
Negative	-4.110%	904	52.77%	-2.169%
Zero	0.000%	22	1.28%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.25. Further, an Excess Kurtosis of 4.75 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -40.78%	3	0.76%	0.76%
-40.78% to -30.07%	5	1.27%	2.03%
-30.07% to -19.36%	10	2.54%	4.57%
-19.36% to -8.64%	48	12.18%	16.75%
-8.64% to 2.07%	126	31.98%	48.73%
2.07% to 12.78%	146	37.06%	85.79%
12.78% to 23.49%	33	8.38%	94.16%
23.49% to 34.21%	13	3.30%	97.46%
34.21% to 44.92%	7	1.78%	99.24%
Greater than 44.92%	3	0.76%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-12.21%	16.35%	79.19%	68.27%
±2σ	-26.50%	30.63%	94.42%	95.45%
±3σ	-40.78%	44.92%	98.48%	99.73%

Descriptive Statistics

Mean	2.069%
Standard Error	0.720%
Median	2.402%
Mode	-5.975%
Standard Deviation	14.283%
Sample Variance	204.002%
Kurtosis	4.75
Skewness	0.25
Range	143.490%
Minimum	-59.595%
Maximum	83.895%
Count	394

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	10.446%	231	58.63%	6.124%
Negative	-9.804%	163	41.37%	-4.056%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	22.92%
12	1 Year	20.52%
36	3 Years	18.78%
60	5 Years	21.48%
120	10 Years	20.62%
240	20 Years	20.26%
600	50 Years	18.92%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 6.74. Further, an Excess Kurtosis of 65.49 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -52.51%	0	0.00%	0.00%
-52.51% to -33.74%	0	0.00%	0.00%
-33.74% to -14.96%	0	0.00%	0.00%
-14.96% to 3.81%	2	0.51%	0.51%
3.81% to 22.59%	272	68.86%	69.37%
22.59% to 41.36%	87	22.03%	91.39%
41.36% to 60.13%	16	4.05%	95.44%
60.13% to 78.91%	10	2.53%	97.97%
78.91% to 97.68%	3	0.76%	98.73%
Greater than 97.68%	5	1.27%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.45%	47.62%	93.67%	68.27%
±2σ	-27.48%	72.65%	97.22%	95.45%
±3σ	-52.51%	97.68%	98.73%	99.73%

Descriptive Statistics

Mean	22.585%
Standard Error	1.259%
Median	16.336%
Mode	7.531%
Standard Deviation	25.032%
Sample Variance	626.590%
Kurtosis	65.49
Skewness	6.74
Range	322.313%
Minimum	3.349%
Maximum	325.662%
Count	395

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	22.585%	395	100.00%	22.585%
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 3.52. Further, an Excess Kurtosis of 24.34 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -51.94%	0	0.00%	0.00%
-51.94% to -38.86%	1	0.25%	0.25%
-38.86% to -25.77%	9	2.28%	2.53%
-25.77% to -12.69%	37	9.37%	11.90%
-12.69% to 0.39%	185	46.84%	58.73%
0.39% to 13.47%	119	30.13%	88.86%
13.47% to 26.56%	29	7.34%	96.20%
26.56% to 39.64%	6	1.52%	97.72%
39.64% to 52.72%	4	1.01%	98.73%
Greater than 52.72%	5	1.27%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-17.05%	17.83%	84.81%	68.27%
±2σ	-34.50%	35.28%	96.46%	95.45%
±3σ	-51.94%	52.72%	98.73%	99.73%

Descriptive Statistics

Mean	0.391%
Standard Error	0.878%
Median	-1.989%
Mode	-4.746%
Standard Deviation	17.443%
Sample Variance	304.267%
Kurtosis	24.34
Skewness	3.52
Range	200.321%
Minimum	-46.979%
Maximum	153.342%
Count	395

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	12.954%	166	42.02%	5.444%
Negative	-8.792%	227	57.47%	-5.053%
Zero	0.000%	2	0.51%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.68. Further, an Excess Kurtosis of 4.30 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -68.41%	0	0.00%	0.00%
-68.41% to -49.78%	5	3.79%	3.79%
-49.78% to -31.15%	1	0.76%	4.55%
-31.15% to -12.53%	14	10.61%	15.15%
-12.53% to 6.10%	46	34.85%	50.00%
6.10% to 24.73%	42	31.82%	81.82%
24.73% to 43.35%	18	13.64%	95.45%
43.35% to 61.98%	3	2.27%	97.73%
61.98% to 80.60%	2	1.52%	99.24%
Greater than 80.60%	1	0.76%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-18.74%	30.93%	75.76%	68.27%
±2σ	-43.57%	55.77%	92.42%	95.45%
±3σ	-68.41%	80.60%	99.24%	99.73%

Descriptive Statistics

Mean	6.099%
Standard Error	2.162%
Median	6.060%
Mode	-59.656%
Standard Deviation	24.835%
Sample Variance	616.760%
Kurtosis	4.30
Skewness	0.68
Range	186.621%
Minimum	-59.656%
Maximum	126.965%
Count	132

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	19.992%	80	60.61%	12.116%
Negative	-15.276%	52	39.39%	-6.018%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	36.60%
12	3 Years	40.63%
20	5 Years	40.48%
40	10 Years	36.38%
80	20 Years	35.51%
200	50 Years	33.59%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.94. Further, an Excess Kurtosis of 47.17 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -120.07%	0	0.00%	0.00%
-120.07% to -78.64%	0	0.00%	0.00%
-78.64% to -37.21%	0	0.00%	0.00%
-37.21% to 4.22%	1	0.75%	0.75%
4.22% to 45.65%	90	67.67%	68.42%
45.65% to 87.08%	33	24.81%	93.23%
87.08% to 128.51%	1	0.75%	93.98%
128.51% to 169.94%	5	3.76%	97.74%
169.94% to 211.37%	1	0.75%	98.50%
Greater than 211.37%	2	1.50%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-9.59%	100.89%	93.23%	68.27%
±2σ	-64.83%	156.13%	96.24%	95.45%
±3σ	-120.07%	211.36%	98.50%	99.73%

Descriptive Statistics

Mean	45.648%
Standard Error	4.790%
Median	29.479%
Mode	37.885%
Standard Deviation	55.239%
Sample Variance	3051.350%
Kurtosis	47.17
Skewness	5.94
Range	530.119%
Minimum	4.167%
Maximum	534.286%
Count	133

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	45.648%	133	100.00%	45.648%
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 2.68. Further, an Excess Kurtosis of 9.43 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -90.89%	0	0.00%	0.00%
-90.89% to -67.95%	0	0.00%	0.00%
-67.95% to -45.00%	1	0.75%	0.75%
-45.00% to -22.05%	18	13.53%	14.29%
-22.05% to 0.89%	62	46.62%	60.90%
0.89% to 23.84%	39	29.32%	90.23%
23.84% to 46.79%	7	5.26%	95.49%
46.79% to 69.73%	0	0.00%	95.49%
69.73% to 92.68%	1	0.75%	96.24%
Greater than 92.68%	5	3.76%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-29.70%	31.49%	88.72%	68.27%
±2σ	-60.30%	62.09%	95.49%	95.45%
±3σ	-90.89%	92.68%	96.24%	99.73%

Descriptive Statistics

Mean	0.894%
Standard Error	2.653%
Median	-5.435%
Mode	-56.212%
Standard Deviation	30.596%
Sample Variance	936.088%
Kurtosis	9.43
Skewness	2.68
Range	205.004%
Minimum	-56.212%
Maximum	148.792%
Count	133

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	23.893%	54	40.60%	9.701%
Negative	-14.827%	79	59.40%	-8.807%
Zero	0.000%	0	0.00%	0.000%

RCL Deep Analytical Report