PEGA - 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	4.07%	4.75%	3.67%	3.70%	3.23%	3.25%	43.92	46.85	42.52	48.38
Weekly	9.45%	11.70%	9.07%	9.06%	7.10%	7.16%	42.25	48.70	39.35	52.29
Monthly	18.55%	27.50%	18.31%	19.86%	14.79%	14.91%	39.12	52.59	33.75	60.97
Quarterly	28.41%	55.65%	31.91%	33.09%	25.62%	25.82%	35.11	58.60	27.17	75.71
Annual	—	—	—	—	51.23%	51.64%	27.17	75.71	16.28	126.38
Option Time Horizon	—	—	—	—	19.71%	19.86%	37.25	55.24	30.58	67.27

Calculation Notes: Computed at 2026-02-22T13:01 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $45.36 | Strike (K): $50.00 (first OTM call ≥ spot) | Observed Mid-Price: $1.9250 (Bid $1.8500 / Ask $2.0000) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.20% | Binomial IV (Annual): 51.23% (CRR binomial tree, American, n=20 steps) | BS IV: 50.99% (European Black-Scholes) | Yahoo IV (Annual): 51.64% → 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
2026-01-02	$0.0300
2025-10-01	$0.0300
2025-07-01	$0.0300
2025-04-01	$0.0150
2025-01-02	$0.0150
2024-10-01	$0.0150
2024-07-01	$0.0150
2024-03-28	$0.0150
2023-12-29	$0.0150
2023-09-29	$0.0150
2023-06-30	$0.0150
2023-03-31	$0.0150
2022-12-30	$0.0150
2022-09-30	$0.0150
2022-06-30	$0.0150
2022-03-31	$0.0150
2021-12-31	$0.0150
2021-09-30	$0.0150
2021-06-30	$0.0150
2021-03-31	$0.0150
2020-12-30	$0.0150
2020-09-30	$0.0150
2020-06-30	$0.0150
2020-03-31	$0.0150
2019-12-30	$0.0150
2019-09-30	$0.0150
2019-06-28	$0.0150
2019-03-29	$0.0150
2018-12-28	$0.0150
2018-09-28	$0.0150
2018-06-29	$0.0150
2018-03-29	$0.0150
2017-12-29	$0.0150
2017-09-29	$0.0150
2017-06-29	$0.0150
2017-03-30	$0.0150
2016-12-28	$0.0150
2016-09-29	$0.0150
2016-06-29	$0.0150
2016-03-30	$0.0150
2015-12-29	$0.0150
2015-09-29	$0.0150
2015-06-29	$0.0150
2015-03-30	$0.0150
2014-12-29	$0.0150
2014-09-29	$0.0150
2014-06-27	$0.0150
2014-04-03	$0.0075
2013-12-30	$0.0075
2013-09-27	$0.0075
2013-06-27	$0.0075
2013-03-27	$0.0075
2012-11-29	$0.0075
2012-09-27	$0.0075
2012-06-28	$0.0075
2012-03-29	$0.0075
2011-12-28	$0.0075
2011-09-29	$0.0075
2011-06-29	$0.0075
2011-03-30	$0.0075
2010-12-30	$0.0075
2010-09-29	$0.0075
2010-06-29	$0.0075
2010-03-30	$0.0075
2009-12-30	$0.0075
2009-09-29	$0.0075
2009-06-29	$0.0075
2009-03-30	$0.0075
2008-12-30	$0.0075
2008-09-29	$0.0075
2008-06-27	$0.0075
2008-03-28	$0.0075
2007-12-28	$0.0075
2007-09-27	$0.0075
2007-06-28	$0.0075
2007-03-29	$0.0075
2007-01-08	$0.0075
2006-12-28	$0.0075
2006-09-28	$0.0075
2006-06-29	$0.0075

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.37. Further, an Excess Kurtosis of 18.25 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -12.09%	50	0.67%	0.67%
-12.09% to -9.04%	64	0.86%	1.53%
-9.04% to -5.98%	181	2.43%	3.97%
-5.98% to -2.93%	646	8.68%	12.65%
-2.93% to 0.12%	2987	40.15%	52.80%
0.12% to 3.17%	2635	35.42%	88.22%
3.17% to 6.22%	557	7.49%	95.71%
6.22% to 9.27%	165	2.22%	97.93%
9.27% to 12.32%	56	0.75%	98.68%
Greater than 12.32%	98	1.32%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.95%	4.19%	83.79%	68.27%
±2σ	-8.02%	8.25%	95.44%	95.45%
±3σ	-12.09%	12.32%	98.01%	99.73%

Descriptive Statistics

Mean	0.118%
Standard Error	0.047%
Median	0.000%
Mode	0.000%
Standard Deviation	4.068%
Sample Variance	16.547%
Kurtosis	18.25
Skewness	1.37
Range	83.339%
Minimum	-34.496%
Maximum	48.843%
Count	7439

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.617%	3626	48.74%	1.276%
Negative	-2.379%	3620	48.66%	-1.158%
Zero	0.000%	193	2.59%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	4.79%
20	1 Month	6.39%
60	1 Quarter	4.54%
250	1 Year	3.92%
750	3 Years	3.43%
1,250	5 Years	3.70%
2,500	10 Years	3.33%
5,000	20 Years	3.55%
12,500	50 Years	4.83%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.29. Further, an Excess Kurtosis of 55.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -9.46%	0	0.00%	0.00%
-9.46% to -5.89%	0	0.00%	0.00%
-5.89% to -2.33%	0	0.00%	0.00%
-2.33% to 1.23%	211	2.84%	2.84%
1.23% to 4.79%	4958	66.64%	69.48%
4.79% to 8.35%	1371	18.43%	87.90%
8.35% to 11.91%	449	6.03%	93.94%
11.91% to 15.47%	215	2.89%	96.83%
15.47% to 19.03%	104	1.40%	98.23%
Greater than 19.03%	132	1.77%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.04%	9.53%	90.50%	68.27%
±2σ	-4.71%	14.28%	95.99%	95.45%
±3σ	-9.46%	19.03%	98.23%	99.73%

Descriptive Statistics

Mean	4.786%
Standard Error	0.055%
Median	3.386%
Mode	12.500%
Standard Deviation	4.747%
Sample Variance	22.529%
Kurtosis	55.11
Skewness	5.29
Range	85.196%
Minimum	0.282%
Maximum	85.478%
Count	7440

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.786%	7440	100.00%	4.786%
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 0.36. Further, an Excess Kurtosis of 13.64 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.94%	71	0.95%	0.95%
-10.94% to -8.19%	58	0.78%	1.73%
-8.19% to -5.44%	190	2.55%	4.29%
-5.44% to -2.69%	626	8.41%	12.70%
-2.69% to 0.06%	2946	39.60%	52.30%
0.06% to 2.81%	2567	34.50%	86.80%
2.81% to 5.56%	644	8.66%	95.46%
5.56% to 8.31%	183	2.46%	97.92%
8.31% to 11.06%	79	1.06%	98.98%
Greater than 11.06%	76	1.02%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.60%	3.73%	82.27%	68.27%
±2σ	-7.27%	7.40%	94.99%	95.45%
±3σ	-10.94%	11.06%	98.02%	99.73%

Descriptive Statistics

Mean	0.062%
Standard Error	0.043%
Median	0.000%
Mode	0.000%
Standard Deviation	3.667%
Sample Variance	13.450%
Kurtosis	13.64
Skewness	0.36
Range	78.082%
Minimum	-39.676%
Maximum	38.406%
Count	7440

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.420%	3602	48.41%	1.172%
Negative	-2.246%	3675	49.40%	-1.109%
Zero	0.000%	163	2.19%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.54. Further, an Excess Kurtosis of 10.99 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -27.75%	10	0.65%	0.65%
-27.75% to -20.66%	16	1.04%	1.68%
-20.66% to -13.57%	37	2.40%	4.08%
-13.57% to -6.49%	150	9.72%	13.80%
-6.49% to 0.60%	598	38.73%	52.53%
0.60% to 7.69%	554	35.88%	88.41%
7.69% to 14.78%	112	7.25%	95.66%
14.78% to 21.87%	28	1.81%	97.47%
21.87% to 28.96%	14	0.91%	98.38%
Greater than 28.96%	25	1.62%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-8.85%	10.06%	82.97%	68.27%
±2σ	-18.30%	19.51%	94.62%	95.45%
±3σ	-27.75%	28.96%	97.73%	99.73%

Descriptive Statistics

Mean	0.604%
Standard Error	0.241%
Median	0.252%
Mode	0.000%
Standard Deviation	9.452%
Sample Variance	89.346%
Kurtosis	10.99
Skewness	1.54
Range	114.125%
Minimum	-46.581%
Maximum	67.544%
Count	1544

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.168%	802	51.94%	3.204%
Negative	-5.492%	731	47.34%	-2.600%
Zero	0.000%	11	0.71%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	13.92%
12	1 Quarter	10.91%
52	1 Year	9.84%
156	3 Years	8.44%
260	5 Years	9.06%
520	10 Years	8.00%
1,040	20 Years	8.32%
2,600	50 Years	11.32%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.43. Further, an Excess Kurtosis of 16.84 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -22.77%	0	0.00%	0.00%
-22.77% to -13.99%	0	0.00%	0.00%
-13.99% to -5.22%	0	0.00%	0.00%
-5.22% to 3.56%	88	5.70%	5.70%
3.56% to 12.33%	959	62.07%	67.77%
12.33% to 21.11%	296	19.16%	86.93%
21.11% to 29.88%	105	6.80%	93.72%
29.88% to 38.66%	43	2.78%	96.50%
38.66% to 47.43%	24	1.55%	98.06%
Greater than 47.43%	30	1.94%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.63%	24.03%	89.97%	68.27%
±2σ	-11.07%	35.73%	95.66%	95.45%
±3σ	-22.77%	47.43%	98.06%	99.73%

Descriptive Statistics

Mean	12.334%
Standard Error	0.298%
Median	8.462%
Mode	17.647%
Standard Deviation	11.700%
Sample Variance	136.901%
Kurtosis	16.84
Skewness	3.43
Range	118.333%
Minimum	2.109%
Maximum	120.442%
Count	1545

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	12.334%	1545	100.00%	12.334%
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 1.42. Further, an Excess Kurtosis of 11.16 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -26.86%	9	0.58%	0.58%
-26.86% to -20.06%	17	1.10%	1.68%
-20.06% to -13.25%	32	2.07%	3.75%
-13.25% to -6.45%	140	9.06%	12.82%
-6.45% to 0.35%	664	42.98%	55.79%
0.35% to 7.16%	474	30.68%	86.47%
7.16% to 13.96%	125	8.09%	94.56%
13.96% to 20.76%	47	3.04%	97.61%
20.76% to 27.57%	17	1.10%	98.71%
Greater than 27.57%	20	1.29%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-8.72%	9.42%	81.75%	68.27%
±2σ	-17.79%	18.50%	94.56%	95.45%
±3σ	-26.86%	27.57%	98.12%	99.73%

Descriptive Statistics

Mean	0.354%
Standard Error	0.231%
Median	-0.290%
Mode	0.000%
Standard Deviation	9.071%
Sample Variance	82.274%
Kurtosis	11.16
Skewness	1.42
Range	122.979%
Minimum	-38.800%
Maximum	84.179%
Count	1545

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.384%	729	47.18%	3.012%
Negative	-5.064%	811	52.49%	-2.658%
Zero	0.000%	5	0.32%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.73. Further, an Excess Kurtosis of 9.83 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -53.33%	0	0.00%	0.00%
-53.33% to -39.41%	4	1.13%	1.13%
-39.41% to -25.50%	15	4.23%	5.35%
-25.50% to -11.59%	40	11.27%	16.62%
-11.59% to 2.33%	133	37.46%	54.08%
2.33% to 16.24%	118	33.24%	87.32%
16.24% to 30.15%	27	7.61%	94.93%
30.15% to 44.07%	8	2.25%	97.18%
44.07% to 57.98%	5	1.41%	98.59%
Greater than 57.98%	5	1.41%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-16.22%	20.88%	81.69%	68.27%
±2σ	-34.78%	39.43%	94.37%	95.45%
±3σ	-53.33%	57.98%	98.59%	99.73%

Descriptive Statistics

Mean	2.326%
Standard Error	0.985%
Median	1.310%
Mode	4.623%
Standard Deviation	18.551%
Sample Variance	344.122%
Kurtosis	9.83
Skewness	1.73
Range	184.071%
Minimum	-48.936%
Maximum	135.135%
Count	355

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	13.188%	194	54.65%	7.207%
Negative	-10.828%	160	45.07%	-4.880%
Zero	0.000%	1	0.28%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	23.84%
12	1 Year	22.23%
36	3 Years	19.17%
60	5 Years	19.86%
120	10 Years	17.93%
240	20 Years	18.41%
600	50 Years	25.18%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.90. Further, an Excess Kurtosis of 11.21 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -52.34%	0	0.00%	0.00%
-52.34% to -31.71%	0	0.00%	0.00%
-31.71% to -11.08%	0	0.00%	0.00%
-11.08% to 9.55%	31	8.71%	8.71%
9.55% to 30.18%	214	60.11%	68.82%
30.18% to 50.80%	64	17.98%	86.80%
50.80% to 71.43%	21	5.90%	92.70%
71.43% to 92.06%	10	2.81%	95.51%
92.06% to 112.69%	10	2.81%	98.31%
Greater than 112.69%	6	1.69%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	2.67%	57.68%	88.76%	68.27%
±2σ	-24.83%	85.19%	94.38%	95.45%
±3σ	-52.34%	112.69%	98.31%	99.73%

Descriptive Statistics

Mean	30.177%
Standard Error	1.458%
Median	20.621%
Mode	8.140%
Standard Deviation	27.504%
Sample Variance	756.448%
Kurtosis	11.21
Skewness	2.90
Range	205.537%
Minimum	6.584%
Maximum	212.121%
Count	356

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	30.177%	356	100.00%	30.177%
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 1.26. Further, an Excess Kurtosis of 4.65 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -53.99%	1	0.28%	0.28%
-53.99% to -40.26%	2	0.56%	0.84%
-40.26% to -26.52%	12	3.37%	4.21%
-26.52% to -12.79%	39	10.96%	15.17%
-12.79% to 0.94%	153	42.98%	58.15%
0.94% to 14.67%	92	25.84%	83.99%
14.67% to 28.40%	34	9.55%	93.54%
28.40% to 42.13%	11	3.09%	96.63%
42.13% to 55.87%	4	1.12%	97.75%
Greater than 55.87%	8	2.25%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-17.37%	19.25%	80.62%	68.27%
±2σ	-35.68%	37.56%	93.82%	95.45%
±3σ	-53.99%	55.87%	97.47%	99.73%

Descriptive Statistics

Mean	0.940%
Standard Error	0.970%
Median	-1.380%
Mode	-14.275%
Standard Deviation	18.309%
Sample Variance	335.220%
Kurtosis	4.65
Skewness	1.26
Range	149.605%
Minimum	-56.897%
Maximum	92.708%
Count	356

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	14.646%	159	44.66%	6.541%
Negative	-10.226%	195	54.77%	-5.601%
Zero	0.000%	2	0.56%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.07. Further, an Excess Kurtosis of 4.82 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -79.15%	0	0.00%	0.00%
-79.15% to -57.84%	1	0.84%	0.84%
-57.84% to -36.53%	6	5.04%	5.88%
-36.53% to -15.23%	17	14.29%	20.17%
-15.23% to 6.08%	41	34.45%	54.62%
6.08% to 27.39%	32	26.89%	81.51%
27.39% to 48.69%	16	13.45%	94.96%
48.69% to 70.00%	4	3.36%	98.32%
70.00% to 91.31%	1	0.84%	99.16%
Greater than 91.31%	1	0.84%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-22.33%	34.49%	74.79%	68.27%
±2σ	-50.74%	62.90%	95.80%	95.45%
±3σ	-79.15%	91.31%	99.16%	99.73%

Descriptive Statistics

Mean	6.080%
Standard Error	2.604%
Median	4.015%
Mode	-25.233%
Standard Deviation	28.409%
Sample Variance	807.074%
Kurtosis	4.82
Skewness	1.07
Range	210.898%
Minimum	-62.444%
Maximum	148.454%
Count	119

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	22.221%	71	59.66%	13.258%
Negative	-18.173%	47	39.50%	-7.178%
Zero	0.000%	1	0.84%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	30.26%
12	3 Years	34.03%
20	5 Years	33.09%
40	10 Years	31.59%
80	20 Years	32.49%
200	50 Years	43.64%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.49. Further, an Excess Kurtosis of 6.72 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -106.68%	0	0.00%	0.00%
-106.68% to -64.94%	0	0.00%	0.00%
-64.94% to -23.21%	0	0.00%	0.00%
-23.21% to 18.53%	5	4.17%	4.17%
18.53% to 60.27%	86	71.67%	75.83%
60.27% to 102.00%	11	9.17%	85.00%
102.00% to 143.74%	9	7.50%	92.50%
143.74% to 185.48%	2	1.67%	94.17%
185.48% to 227.22%	3	2.50%	96.67%
Greater than 227.22%	4	3.33%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.62%	115.92%	88.33%	68.27%
±2σ	-51.03%	171.57%	94.17%	95.45%
±3σ	-106.68%	227.22%	96.67%	99.73%

Descriptive Statistics

Mean	60.267%
Standard Error	5.080%
Median	40.531%
Mode	12.953%
Standard Deviation	55.650%
Sample Variance	3096.949%
Kurtosis	6.72
Skewness	2.49
Range	317.236%
Minimum	12.953%
Maximum	330.189%
Count	120

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	60.267%	120	100.00%	60.267%
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 2.13. Further, an Excess Kurtosis of 7.09 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -94.00%	0	0.00%	0.00%
-94.00% to -70.07%	0	0.00%	0.00%
-70.07% to -46.13%	2	1.67%	1.67%
-46.13% to -22.20%	18	15.00%	16.67%
-22.20% to 1.74%	57	47.50%	64.17%
1.74% to 25.68%	27	22.50%	86.67%
25.68% to 49.61%	9	7.50%	94.17%
49.61% to 73.55%	0	0.00%	94.17%
73.55% to 97.49%	5	4.17%	98.33%
Greater than 97.49%	2	1.67%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-30.17%	33.66%	82.50%	68.27%
±2σ	-62.09%	65.57%	94.17%	95.45%
±3σ	-94.00%	97.49%	98.33%	99.73%

Descriptive Statistics

Mean	1.741%
Standard Error	2.913%
Median	-3.848%
Mode	-59.751%
Standard Deviation	31.915%
Sample Variance	1018.542%
Kurtosis	7.09
Skewness	2.13
Range	226.023%
Minimum	-59.751%
Maximum	166.272%
Count	120

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	27.345%	49	40.83%	11.166%
Negative	-16.157%	70	58.33%	-9.425%
Zero	0.000%	1	0.83%	0.000%

PEGA Deep Analytical Report