WTW - 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	1.65%	1.61%	1.49%	2.02%	1.96%	2.20%	286.15	297.59	280.59	303.48
Weekly	3.56%	3.74%	3.53%	4.55%	4.32%	4.85%	279.48	304.68	267.68	318.12
Monthly	6.23%	7.05%	6.16%	9.56%	8.98%	10.09%	266.74	319.24	243.82	349.25
Quarterly	10.48%	11.18%	9.96%	15.13%	15.56%	17.48%	249.76	340.94	213.77	398.34
Annual	—	—	—	—	31.12%	34.95%	213.77	398.34	156.60	543.76
Option Time Horizon	—	—	—	—	11.75%	13.19%	259.47	328.18	230.71	369.09

Calculation Notes: Computed at 2026-03-23T16:34 UTC | Reference Contract: Call option expiring 2026-05-15 (52 days) | Spot Price (S): $291.81 | Strike (K): $300.00 (first OTM call ≥ spot) | Observed Mid-Price: $10.7000 (Bid $9.3000 / Ask $12.1000) | Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury) | Dividend Yield (q): 1.28% | Binomial IV (Annual): 31.12% (CRR binomial tree, American, n=20 steps) | BS IV: 31.50% (European Black-Scholes) | Yahoo IV (Annual): 34.95% → 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
2025-12-31	$0.9200
2025-09-30	$0.9200
2025-06-30	$0.9200
2025-03-31	$0.9200
2024-12-31	$0.8800
2024-09-30	$0.8800
2024-06-28	$0.8800
2024-03-27	$0.8800
2023-12-28	$0.8400
2023-09-28	$0.8400
2023-06-29	$0.8400
2023-03-30	$0.8400
2022-12-29	$0.8200
2022-09-29	$0.8200
2022-06-29	$0.8200
2022-03-30	$0.8200
2021-12-30	$0.8000
2021-09-29	$0.8000
2021-05-27	$0.7100
2021-03-30	$0.7100
2020-12-30	$0.7100
2020-09-29	$0.6800
2020-06-29	$0.6800
2020-03-30	$0.6800
2019-12-30	$0.6500
2019-09-27	$0.6500
2019-06-27	$0.6500
2019-03-28	$0.6500
2018-12-28	$0.6000
2018-09-27	$0.6000
2018-06-28	$0.6000
2018-03-28	$0.6000
2017-12-28	$0.5300
2017-09-28	$0.5300
2017-06-28	$0.5300
2017-03-29	$0.5300
2016-12-28	$0.4800
2016-09-28	$0.4800
2016-06-28	$0.4800
2016-03-29	$0.4800
2015-11-16	$0.8212
2015-09-28	$0.8212
2015-06-26	$0.8212
2015-03-27	$0.8212
2014-12-29	$0.7947
2014-09-26	$0.7947
2014-06-26	$0.7947
2014-03-27	$0.7947
2013-12-27	$0.7417
2013-09-26	$0.7417
2013-06-26	$0.7417
2013-03-26	$0.7417
2012-12-27	$0.7152
2012-09-26	$0.7152
2012-06-27	$0.7152
2012-03-28	$0.7152
2011-12-28	$0.6887
2011-09-28	$0.6887
2011-06-28	$0.6887
2011-03-29	$0.6887
2010-12-29	$0.6887
2010-09-28	$0.6887
2010-06-28	$0.6887
2010-03-29	$0.6887
2009-12-28	$0.6887
2009-09-28	$0.6887
2009-06-26	$0.6887
2009-03-27	$0.6887
2008-12-29	$0.6887
2008-09-26	$0.6887
2008-06-26	$0.6887
2008-03-27	$0.6887
2007-12-27	$0.6623
2007-09-26	$0.6623
2007-06-27	$0.6623
2007-03-28	$0.6623
2006-12-27	$0.6225
2006-09-27	$0.6225
2006-06-28	$0.6225
2006-03-29	$0.6225
2005-12-28	$0.5695
2005-09-28	$0.5695
2005-06-28	$0.5695
2005-03-29	$0.5695
2004-12-29	$0.4980
2004-09-28	$0.4980
2004-06-28	$0.4980
2004-03-29	$0.4980
2003-12-29	$0.4318
2003-09-26	$0.4318
2003-06-26	$0.3311
2003-03-27	$0.3311

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.07. Further, an Excess Kurtosis of 13.47 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.88%	55	0.88%	0.88%
-4.88% to -3.65%	45	0.72%	1.61%
-3.65% to -2.42%	163	2.62%	4.22%
-2.42% to -1.18%	611	9.81%	14.03%
-1.18% to 0.05%	2273	36.49%	50.52%
0.05% to 1.29%	2199	35.30%	85.82%
1.29% to 2.52%	600	9.63%	95.46%
2.52% to 3.75%	164	2.63%	98.09%
3.75% to 4.99%	67	1.08%	99.17%
Greater than 4.99%	52	0.83%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.59%	1.70%	81.59%	68.27%
±2σ	-3.24%	3.34%	95.39%	95.45%
±3σ	-4.88%	4.99%	98.28%	99.73%

Descriptive Statistics

Mean	0.052%
Standard Error	0.021%
Median	0.038%
Mode	0.000%
Standard Deviation	1.645%
Sample Variance	2.706%
Kurtosis	13.47
Skewness	-0.07
Range	34.840%
Minimum	-19.015%
Maximum	15.825%
Count	6229

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.088%	3186	51.15%	0.556%
Negative	-1.055%	2980	47.84%	-0.505%
Zero	0.000%	63	1.01%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	2.22%
20	1 Month	2.33%
60	1 Quarter	2.59%
250	1 Year	2.12%
750	3 Years	1.82%
1,250	5 Years	2.02%
2,500	10 Years	2.03%
5,000	20 Years	2.07%
12,500	50 Years	2.12%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.84. Further, an Excess Kurtosis of 49.28 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -2.77%	0	0.00%	0.00%
-2.77% to -1.56%	0	0.00%	0.00%
-1.56% to -0.36%	0	0.00%	0.00%
-0.36% to 0.85%	529	8.49%	8.49%
0.85% to 2.05%	3604	57.85%	66.34%
2.05% to 3.26%	1314	21.09%	87.43%
3.26% to 4.46%	412	6.61%	94.04%
4.46% to 5.67%	191	3.07%	97.11%
5.67% to 6.88%	73	1.17%	98.28%
Greater than 6.88%	107	1.72%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.45%	3.66%	90.27%	68.27%
±2σ	-1.16%	5.27%	96.29%	95.45%
±3σ	-2.77%	6.88%	98.28%	99.73%

Descriptive Statistics

Mean	2.054%
Standard Error	0.020%
Median	1.625%
Mode	0.758%
Standard Deviation	1.607%
Sample Variance	2.581%
Kurtosis	49.28
Skewness	4.84
Range	34.400%
Minimum	0.267%
Maximum	34.667%
Count	6230

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.054%	6230	100.00%	2.054%
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 1.19. Further, an Excess Kurtosis of 19.66 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.51%	50	0.80%	0.80%
-4.51% to -3.40%	56	0.90%	1.70%
-3.40% to -2.28%	179	2.87%	4.57%
-2.28% to -1.16%	633	10.16%	14.74%
-1.16% to -0.04%	2218	35.60%	50.34%
-0.04% to 1.08%	2174	34.90%	85.23%
1.08% to 2.20%	647	10.39%	95.62%
2.20% to 3.32%	169	2.71%	98.33%
3.32% to 4.44%	56	0.90%	99.23%
Greater than 4.44%	48	0.77%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.53%	1.45%	80.69%	68.27%
±2σ	-3.02%	2.95%	95.38%	95.45%
±3σ	-4.51%	4.44%	98.43%	99.73%

Descriptive Statistics

Mean	-0.038%
Standard Error	0.019%
Median	-0.048%
Mode	0.000%
Standard Deviation	1.492%
Sample Variance	2.227%
Kurtosis	19.66
Skewness	1.19
Range	31.405%
Minimum	-9.870%
Maximum	21.535%
Count	6230

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	0.997%	2935	47.11%	0.470%
Negative	-0.980%	3227	51.80%	-0.508%
Zero	0.000%	68	1.09%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.26. Further, an Excess Kurtosis of 6.36 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.42%	10	0.77%	0.77%
-10.42% to -7.75%	15	1.16%	1.93%
-7.75% to -5.09%	31	2.40%	4.33%
-5.09% to -2.42%	152	11.76%	16.10%
-2.42% to 0.25%	458	35.45%	51.55%
0.25% to 2.91%	423	32.74%	84.29%
2.91% to 5.58%	138	10.68%	94.97%
5.58% to 8.25%	33	2.55%	97.52%
8.25% to 10.91%	18	1.39%	98.92%
Greater than 10.91%	14	1.08%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.31%	3.80%	80.11%	68.27%
±2σ	-6.87%	7.36%	94.50%	95.45%
±3σ	-10.42%	10.91%	98.14%	99.73%

Descriptive Statistics

Mean	0.246%
Standard Error	0.099%
Median	0.184%
Mode	-0.131%
Standard Deviation	3.556%
Sample Variance	12.647%
Kurtosis	6.36
Skewness	0.26
Range	48.243%
Minimum	-23.473%
Maximum	24.770%
Count	1292

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.497%	688	53.25%	1.330%
Negative	-2.329%	601	46.52%	-1.083%
Zero	0.000%	3	0.23%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	5.03%
12	1 Quarter	5.73%
52	1 Year	4.76%
156	3 Years	4.14%
260	5 Years	4.55%
520	10 Years	4.58%
1,040	20 Years	4.69%
2,600	50 Years	4.92%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.57. Further, an Excess Kurtosis of 22.63 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -6.15%	0	0.00%	0.00%
-6.15% to -3.35%	0	0.00%	0.00%
-3.35% to -0.54%	0	0.00%	0.00%
-0.54% to 2.26%	132	10.21%	10.21%
2.26% to 5.06%	718	55.53%	65.74%
5.06% to 7.87%	274	21.19%	86.93%
7.87% to 10.67%	83	6.42%	93.35%
10.67% to 13.47%	40	3.09%	96.44%
13.47% to 16.27%	20	1.55%	97.99%
Greater than 16.27%	26	2.01%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.33%	8.80%	89.79%	68.27%
±2σ	-2.41%	12.54%	95.51%	95.45%
±3σ	-6.15%	16.27%	97.99%	99.73%

Descriptive Statistics

Mean	5.063%
Standard Error	0.104%
Median	4.018%
Mode	3.623%
Standard Deviation	3.737%
Sample Variance	13.965%
Kurtosis	22.63
Skewness	3.57
Range	43.532%
Minimum	1.112%
Maximum	44.644%
Count	1293

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.063%	1293	100.00%	5.063%
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 0.76. Further, an Excess Kurtosis of 7.56 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.67%	8	0.62%	0.62%
-10.67% to -8.03%	18	1.39%	2.01%
-8.03% to -5.38%	33	2.55%	4.56%
-5.38% to -2.73%	153	11.83%	16.40%
-2.73% to -0.08%	456	35.27%	51.66%
-0.08% to 2.57%	433	33.49%	85.15%
2.57% to 5.22%	133	10.29%	95.44%
5.22% to 7.86%	32	2.47%	97.91%
7.86% to 10.51%	10	0.77%	98.69%
Greater than 10.51%	17	1.31%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.61%	3.45%	80.36%	68.27%
±2σ	-7.14%	6.98%	94.74%	95.45%
±3σ	-10.67%	10.51%	98.07%	99.73%

Descriptive Statistics

Mean	-0.081%
Standard Error	0.098%
Median	-0.171%
Mode	-0.296%
Standard Deviation	3.531%
Sample Variance	12.469%
Kurtosis	7.56
Skewness	0.76
Range	47.997%
Minimum	-18.340%
Maximum	29.657%
Count	1293

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.496%	602	46.56%	1.162%
Negative	-2.333%	689	53.29%	-1.243%
Zero	0.000%	2	0.15%	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 0.94 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -17.72%	1	0.34%	0.34%
-17.72% to -13.04%	0	0.00%	0.34%
-13.04% to -8.37%	22	7.41%	7.74%
-8.37% to -3.70%	40	13.47%	21.21%
-3.70% to 0.98%	86	28.96%	50.17%
0.98% to 5.65%	90	30.30%	80.47%
5.65% to 10.32%	38	12.79%	93.27%
10.32% to 15.00%	17	5.72%	98.99%
15.00% to 19.67%	1	0.34%	99.33%
Greater than 19.67%	2	0.67%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.25%	7.21%	72.05%	68.27%
±2σ	-11.49%	13.44%	95.29%	95.45%
±3σ	-17.72%	19.67%	98.99%	99.73%

Descriptive Statistics

Mean	0.977%
Standard Error	0.362%
Median	0.934%
Mode	-5.505%
Standard Deviation	6.232%
Sample Variance	38.834%
Kurtosis	0.94
Skewness	0.25
Range	43.706%
Minimum	-18.661%
Maximum	25.045%
Count	297

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.302%	164	55.22%	2.928%
Negative	-4.355%	133	44.78%	-1.950%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	12.42%
12	1 Year	9.60%
36	3 Years	8.93%
60	5 Years	9.56%
120	10 Years	9.68%
240	20 Years	9.78%
600	50 Years	10.26%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.59. Further, an Excess Kurtosis of 21.91 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.10%	0	0.00%	0.00%
-10.10% to -4.81%	0	0.00%	0.00%
-4.81% to 0.47%	0	0.00%	0.00%
0.47% to 5.76%	38	12.75%	12.75%
5.76% to 11.04%	149	50.00%	62.75%
11.04% to 16.33%	70	23.49%	86.24%
16.33% to 21.61%	24	8.05%	94.30%
21.61% to 26.90%	9	3.02%	97.32%
26.90% to 32.18%	2	0.67%	97.99%
Greater than 32.18%	6	2.01%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.00%	18.09%	87.58%	68.27%
±2σ	-3.05%	25.13%	96.31%	95.45%
±3σ	-10.10%	32.18%	97.99%	99.73%

Descriptive Statistics

Mean	11.043%
Standard Error	0.408%
Median	9.038%
Mode	2.795%
Standard Deviation	7.046%
Sample Variance	49.641%
Kurtosis	21.91
Skewness	3.59
Range	69.197%
Minimum	2.795%
Maximum	71.992%
Count	298

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	11.043%	298	100.00%	11.043%
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 0.22. Further, an Excess Kurtosis of 0.91 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -18.90%	2	0.67%	0.67%
-18.90% to -14.28%	1	0.34%	1.01%
-14.28% to -9.66%	14	4.70%	5.70%
-9.66% to -5.04%	47	15.77%	21.48%
-5.04% to -0.41%	91	30.54%	52.01%
-0.41% to 4.21%	84	28.19%	80.20%
4.21% to 8.83%	34	11.41%	91.61%
8.83% to 13.45%	21	7.05%	98.66%
13.45% to 18.07%	3	1.01%	99.66%
Greater than 18.07%	1	0.34%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.58%	5.75%	71.48%	68.27%
±2σ	-12.74%	11.91%	95.97%	95.45%
±3σ	-18.90%	18.07%	98.99%	99.73%

Descriptive Statistics

Mean	-0.415%
Standard Error	0.357%
Median	-0.770%
Mode	-1.928%
Standard Deviation	6.162%
Sample Variance	37.970%
Kurtosis	0.91
Skewness	0.22
Range	45.233%
Minimum	-20.538%
Maximum	24.695%
Count	298

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.818%	135	45.30%	2.183%
Negative	-4.749%	163	54.70%	-2.598%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.38. Further, an Excess Kurtosis of 0.38 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -28.52%	0	0.00%	0.00%
-28.52% to -20.66%	0	0.00%	0.00%
-20.66% to -12.79%	7	7.07%	7.07%
-12.79% to -4.93%	15	15.15%	22.22%
-4.93% to 2.93%	31	31.31%	53.54%
2.93% to 10.79%	23	23.23%	76.77%
10.79% to 18.66%	18	18.18%	94.95%
18.66% to 26.52%	2	2.02%	96.97%
26.52% to 34.38%	2	2.02%	98.99%
Greater than 34.38%	1	1.01%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.55%	13.41%	69.70%	68.27%
±2σ	-18.04%	23.90%	95.96%	95.45%
±3σ	-28.52%	34.38%	98.99%	99.73%

Descriptive Statistics

Mean	2.930%
Standard Error	1.054%
Median	2.208%
Mode	-20.171%
Standard Deviation	10.483%
Sample Variance	109.887%
Kurtosis	0.38
Skewness	0.38
Range	55.186%
Minimum	-20.171%
Maximum	35.015%
Count	99

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	10.147%	56	56.57%	5.740%
Negative	-6.469%	43	43.43%	-2.810%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	13.27%
12	3 Years	13.83%
20	5 Years	15.13%
40	10 Years	15.98%
80	20 Years	16.20%
200	50 Years	17.30%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.71. Further, an Excess Kurtosis of 10.13 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 -5.85%	0	0.00%	0.00%
-5.85% to 2.54%	0	0.00%	0.00%
2.54% to 10.92%	17	17.00%	17.00%
10.92% to 19.31%	45	45.00%	62.00%
19.31% to 27.70%	26	26.00%	88.00%
27.70% to 36.09%	4	4.00%	92.00%
36.09% to 44.47%	4	4.00%	96.00%
44.47% to 52.86%	1	1.00%	97.00%
Greater than 52.86%	3	3.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	8.13%	30.49%	88.00%	68.27%
±2σ	-3.05%	41.68%	96.00%	95.45%
±3σ	-14.24%	52.86%	97.00%	99.73%

Descriptive Statistics

Mean	19.311%
Standard Error	1.118%
Median	16.458%
Mode	7.348%
Standard Deviation	11.183%
Sample Variance	125.061%
Kurtosis	10.13
Skewness	2.71
Range	72.939%
Minimum	7.348%
Maximum	80.287%
Count	100

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	19.311%	100	100.00%	19.311%
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 0.23. Further, an Excess Kurtosis of -0.10 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -31.30%	0	0.00%	0.00%
-31.30% to -23.83%	1	1.00%	1.00%
-23.83% to -16.36%	3	3.00%	4.00%
-16.36% to -8.89%	22	22.00%	26.00%
-8.89% to -1.42%	25	25.00%	51.00%
-1.42% to 6.05%	27	27.00%	78.00%
6.05% to 13.52%	15	15.00%	93.00%
13.52% to 20.98%	6	6.00%	99.00%
20.98% to 28.45%	1	1.00%	100.00%
Greater than 28.45%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-11.38%	8.54%	71.00%	68.27%
±2σ	-21.34%	18.49%	95.00%	95.45%
±3σ	-31.30%	28.45%	100.00%	99.73%

Descriptive Statistics

Mean	-1.423%
Standard Error	0.996%
Median	-1.641%
Mode	-25.505%
Standard Deviation	9.959%
Sample Variance	99.177%
Kurtosis	-0.10
Skewness	0.23
Range	51.335%
Minimum	-25.505%
Maximum	25.830%
Count	100

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.671%	44	44.00%	3.375%
Negative	-8.568%	56	56.00%	-4.798%
Zero	0.000%	0	0.00%	0.000%

WTW Deep Analytical Report