PM - 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	1.47%	1.38%	1.25%	1.84%	1.45%	1.52%	180.77	186.07	178.17	188.78
Weekly	3.23%	3.14%	3.26%	4.45%	3.18%	3.34%	177.65	189.33	172.09	195.46
Monthly	6.49%	6.69%	6.67%	9.77%	6.63%	6.95%	171.64	195.97	160.63	209.40
Quarterly	10.56%	10.55%	9.93%	17.20%	11.48%	12.05%	163.51	205.71	145.78	230.73
Annual	—	—	—	—	22.96%	24.09%	145.78	230.73	115.87	290.28
Option Time Horizon	—	—	—	—	8.83%	9.27%	167.90	200.33	153.71	218.83

Calculation Notes: Computed at 2026-02-22T14:17 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $183.40 | Strike (K): $185.00 (first OTM call ≥ spot) | Observed Mid-Price: $5.8000 (Bid $5.5000 / Ask $6.1000) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 3.07% | Binomial IV (Annual): 22.96% (CRR binomial tree, American, n=20 steps) | BS IV: 23.06% (European Black-Scholes) | Yahoo IV (Annual): 24.09% → 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	$1.4700
2025-10-03	$1.4700
2025-06-27	$1.3500
2025-03-20	$1.3500
2024-12-26	$1.3500
2024-09-26	$1.3500
2024-06-21	$1.3000
2024-03-20	$1.3000
2023-12-20	$1.3000
2023-09-26	$1.3000
2023-06-22	$1.2700
2023-03-22	$1.2700
2022-12-21	$1.2700
2022-09-27	$1.2700
2022-06-30	$1.2500
2022-03-23	$1.2500
2021-12-22	$1.2500
2021-09-28	$1.2500
2021-06-24	$1.2000
2021-03-19	$1.2000
2020-12-22	$1.2000
2020-09-23	$1.2000
2020-06-19	$1.1700
2020-03-20	$1.1700
2019-12-18	$1.1700
2019-09-24	$1.1700
2019-06-20	$1.1400
2019-03-25	$1.1400
2018-12-19	$1.1400
2018-09-25	$1.1400
2018-06-21	$1.1400
2018-03-21	$1.0700
2017-12-20	$1.0700
2017-09-26	$1.0700
2017-06-21	$1.0400
2017-03-21	$1.0400
2016-12-20	$1.0400
2016-09-26	$1.0400
2016-06-21	$1.0200
2016-03-22	$1.0200
2015-12-21	$1.0200
2015-09-28	$1.0200
2015-06-23	$1.0000
2015-03-24	$1.0000
2014-12-22	$1.0000
2014-09-23	$1.0000
2014-06-24	$0.9400
2014-03-25	$0.9400
2013-12-23	$0.9400
2013-09-24	$0.9400
2013-06-25	$0.8500
2013-03-26	$0.8500
2012-12-24	$0.0850
2012-12-20	$0.0390
2012-09-25	$0.8500
2012-06-25	$0.7700
2012-03-27	$0.7700
2011-12-20	$0.7700
2011-09-23	$0.7700
2011-06-21	$0.6400
2011-03-22	$0.6400
2010-12-21	$0.6400
2010-09-22	$0.6400
2010-06-22	$0.5800
2010-03-23	$0.5800
2009-12-23	$0.5800
2009-09-24	$0.5800
2009-06-22	$0.5400
2009-03-23	$0.5400
2008-12-23	$0.5400
2008-09-11	$0.5400
2008-06-26	$0.4600

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.40. Further, an Excess Kurtosis of 12.27 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.36%	34	0.75%	0.75%
-4.36% to -3.25%	45	1.00%	1.75%
-3.25% to -2.15%	128	2.84%	4.59%
-2.15% to -1.04%	484	10.73%	15.32%
-1.04% to 0.06%	1541	34.16%	49.48%
0.06% to 1.16%	1558	34.54%	84.02%
1.16% to 2.26%	524	11.62%	95.63%
2.26% to 3.37%	130	2.88%	98.51%
3.37% to 4.47%	42	0.93%	99.45%
Greater than 4.47%	25	0.55%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.41%	1.53%	79.25%	68.27%
±2σ	-2.88%	3.00%	95.46%	95.45%
±3σ	-4.36%	4.47%	98.69%	99.73%

Descriptive Statistics

Mean	0.058%
Standard Error	0.022%
Median	0.068%
Mode	0.000%
Standard Deviation	1.471%
Sample Variance	2.164%
Kurtosis	12.27
Skewness	-0.40
Range	28.787%
Minimum	-15.576%
Maximum	13.211%
Count	4511

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.003%	2371	52.56%	0.527%
Negative	-1.004%	2107	46.71%	-0.469%
Zero	0.000%	33	0.73%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	1.83%
20	1 Month	2.38%
60	1 Quarter	2.27%
250	1 Year	2.22%
750	3 Years	1.81%
1,250	5 Years	1.84%
2,500	10 Years	1.92%
5,000	20 Years	1.93%
12,500	50 Years	1.93%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 6.78. Further, an Excess Kurtosis of 102.99 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -2.29%	0	0.00%	0.00%
-2.29% to -1.26%	0	0.00%	0.00%
-1.26% to -0.23%	0	0.00%	0.00%
-0.23% to 0.81%	320	7.09%	7.09%
0.81% to 1.84%	2611	57.87%	64.96%
1.84% to 2.88%	1085	24.05%	89.01%
2.88% to 3.91%	288	6.38%	95.39%
3.91% to 4.95%	98	2.17%	97.56%
4.95% to 5.98%	39	0.86%	98.43%
Greater than 5.98%	71	1.57%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.47%	3.22%	92.09%	68.27%
±2σ	-0.91%	4.60%	97.01%	95.45%
±3σ	-2.29%	5.98%	98.43%	99.73%

Descriptive Statistics

Mean	1.844%
Standard Error	0.021%
Median	1.515%
Mode	0.902%
Standard Deviation	1.379%
Sample Variance	1.900%
Kurtosis	102.99
Skewness	6.78
Range	34.721%
Minimum	0.414%
Maximum	35.135%
Count	4512

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.844%	4512	100.00%	1.844%
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 0.60. Further, an Excess Kurtosis of 7.77 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -3.79%	28	0.62%	0.62%
-3.79% to -2.85%	43	0.95%	1.57%
-2.85% to -1.92%	119	2.64%	4.21%
-1.92% to -0.98%	595	13.19%	17.40%
-0.98% to -0.04%	1540	34.13%	51.53%
-0.04% to 0.90%	1429	31.67%	83.20%
0.90% to 1.84%	537	11.90%	95.10%
1.84% to 2.77%	134	2.97%	98.07%
2.77% to 3.71%	52	1.15%	99.22%
Greater than 3.71%	35	0.78%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.29%	1.21%	77.81%	68.27%
±2σ	-2.54%	2.46%	95.30%	95.45%
±3σ	-3.79%	3.71%	98.60%	99.73%

Descriptive Statistics

Mean	-0.040%
Standard Error	0.019%
Median	-0.074%
Mode	0.000%
Standard Deviation	1.251%
Sample Variance	1.565%
Kurtosis	7.77
Skewness	0.60
Range	19.377%
Minimum	-7.069%
Maximum	12.308%
Count	4512

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	0.906%	2086	46.23%	0.419%
Negative	-0.862%	2402	53.24%	-0.459%
Zero	0.000%	24	0.53%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.36. Further, an Excess Kurtosis of 4.99 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -9.40%	8	0.85%	0.85%
-9.40% to -6.98%	11	1.18%	2.03%
-6.98% to -4.56%	31	3.31%	5.34%
-4.56% to -2.14%	116	12.39%	17.74%
-2.14% to 0.28%	291	31.09%	48.82%
0.28% to 2.70%	308	32.91%	81.73%
2.70% to 5.12%	129	13.78%	95.51%
5.12% to 7.54%	29	3.10%	98.61%
7.54% to 9.97%	11	1.18%	99.79%
Greater than 9.97%	2	0.21%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.95%	3.51%	76.71%	68.27%
±2σ	-6.17%	6.74%	95.19%	95.45%
±3σ	-9.40%	9.97%	98.93%	99.73%

Descriptive Statistics

Mean	0.282%
Standard Error	0.106%
Median	0.344%
Mode	0.759%
Standard Deviation	3.228%
Sample Variance	10.418%
Kurtosis	4.99
Skewness	-0.36
Range	39.685%
Minimum	-18.728%
Maximum	20.957%
Count	936

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.377%	523	55.88%	1.328%
Negative	-2.383%	411	43.91%	-1.046%
Zero	0.000%	2	0.21%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	4.78%
12	1 Quarter	5.39%
52	1 Year	5.44%
156	3 Years	4.39%
260	5 Years	4.45%
520	10 Years	4.55%
1,040	20 Years	4.48%
2,600	50 Years	4.48%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.64. Further, an Excess Kurtosis of 39.38 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.82%	0	0.00%	0.00%
-4.82% to -2.47%	0	0.00%	0.00%
-2.47% to -0.12%	0	0.00%	0.00%
-0.12% to 2.23%	110	11.74%	11.74%
2.23% to 4.58%	492	52.51%	64.25%
4.58% to 6.94%	218	23.27%	87.51%
6.94% to 9.29%	69	7.36%	94.88%
9.29% to 11.64%	22	2.35%	97.23%
11.64% to 13.99%	13	1.39%	98.61%
Greater than 13.99%	13	1.39%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.45%	7.72%	89.97%	68.27%
±2σ	-1.69%	10.86%	96.26%	95.45%
±3σ	-4.82%	13.99%	98.61%	99.73%

Descriptive Statistics

Mean	4.584%
Standard Error	0.102%
Median	3.872%
Mode	2.366%
Standard Deviation	3.136%
Sample Variance	9.838%
Kurtosis	39.38
Skewness	4.64
Range	42.530%
Minimum	1.014%
Maximum	43.544%
Count	937

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.584%	937	100.00%	4.584%
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 1.28. Further, an Excess Kurtosis of 7.85 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -9.89%	2	0.21%	0.21%
-9.89% to -7.45%	3	0.32%	0.53%
-7.45% to -5.00%	33	3.52%	4.06%
-5.00% to -2.56%	145	15.47%	19.53%
-2.56% to -0.12%	314	33.51%	53.04%
-0.12% to 2.33%	272	29.03%	82.07%
2.33% to 4.78%	110	11.74%	93.81%
4.78% to 7.22%	40	4.27%	98.08%
7.22% to 9.66%	10	1.07%	99.15%
Greater than 9.66%	8	0.85%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.38%	3.14%	77.59%	68.27%
±2σ	-6.63%	6.40%	96.26%	95.45%
±3σ	-9.89%	9.66%	98.93%	99.73%

Descriptive Statistics

Mean	-0.115%
Standard Error	0.106%
Median	-0.329%
Mode	-1.332%
Standard Deviation	3.260%
Sample Variance	10.625%
Kurtosis	7.85
Skewness	1.28
Range	39.331%
Minimum	-15.989%
Maximum	23.342%
Count	937

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.509%	416	44.40%	1.114%
Negative	-2.214%	520	55.50%	-1.229%
Zero	0.000%	1	0.11%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.28. Further, an Excess Kurtosis of 0.43 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -18.26%	1	0.47%	0.47%
-18.26% to -13.39%	3	1.40%	1.86%
-13.39% to -8.53%	15	6.98%	8.84%
-8.53% to -3.66%	27	12.56%	21.40%
-3.66% to 1.20%	51	23.72%	45.12%
1.20% to 6.07%	68	31.63%	76.74%
6.07% to 10.93%	38	17.67%	94.42%
10.93% to 15.80%	10	4.65%	99.07%
15.80% to 20.66%	2	0.93%	100.00%
Greater than 20.66%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.29%	7.69%	69.30%	68.27%
±2σ	-11.77%	14.18%	96.28%	95.45%
±3σ	-18.26%	20.66%	99.53%	99.73%

Descriptive Statistics

Mean	1.201%
Standard Error	0.442%
Median	1.789%
Mode	-3.777%
Standard Deviation	6.487%
Sample Variance	42.081%
Kurtosis	0.43
Skewness	-0.28
Range	40.922%
Minimum	-21.659%
Maximum	19.263%
Count	215

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.460%	128	59.53%	3.251%
Negative	-5.064%	87	40.47%	-2.049%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	11.96%
12	1 Year	10.79%
36	3 Years	9.89%
60	5 Years	9.77%
120	10 Years	10.16%
240	20 Years	9.82%
600	50 Years	9.82%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.86. Further, an Excess Kurtosis of 22.82 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -9.56%	0	0.00%	0.00%
-9.56% to -4.54%	0	0.00%	0.00%
-4.54% to 0.48%	0	0.00%	0.00%
0.48% to 5.50%	29	13.43%	13.43%
5.50% to 10.51%	103	47.69%	61.11%
10.51% to 15.53%	57	26.39%	87.50%
15.53% to 20.55%	17	7.87%	95.37%
20.55% to 25.57%	5	2.31%	97.69%
25.57% to 30.58%	2	0.93%	98.61%
Greater than 30.58%	3	1.39%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	3.82%	17.20%	90.28%	68.27%
±2σ	-2.87%	23.89%	97.22%	95.45%
±3σ	-9.56%	30.58%	98.61%	99.73%

Descriptive Statistics

Mean	10.514%
Standard Error	0.455%
Median	8.990%
Mode	2.382%
Standard Deviation	6.690%
Sample Variance	44.757%
Kurtosis	22.82
Skewness	3.86
Range	56.840%
Minimum	2.382%
Maximum	59.222%
Count	216

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	10.514%	216	100.00%	10.514%
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 0.78. Further, an Excess Kurtosis of 1.70 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -20.36%	0	0.00%	0.00%
-20.36% to -15.36%	1	0.46%	0.46%
-15.36% to -10.36%	8	3.70%	4.17%
-10.36% to -5.36%	39	18.06%	22.22%
-5.36% to -0.35%	73	33.80%	56.02%
-0.35% to 4.65%	52	24.07%	80.09%
4.65% to 9.65%	24	11.11%	91.20%
9.65% to 14.66%	14	6.48%	97.69%
14.66% to 19.66%	3	1.39%	99.07%
Greater than 19.66%	2	0.93%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.02%	6.32%	73.15%	68.27%
±2σ	-13.69%	12.99%	96.30%	95.45%
±3σ	-20.37%	19.66%	99.07%	99.73%

Descriptive Statistics

Mean	-0.352%
Standard Error	0.454%
Median	-1.194%
Mode	-6.091%
Standard Deviation	6.671%
Sample Variance	44.506%
Kurtosis	1.70
Skewness	0.78
Range	46.596%
Minimum	-16.982%
Maximum	29.614%
Count	216

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.738%	91	42.13%	2.417%
Negative	-4.785%	125	57.87%	-2.769%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.49. Further, an Excess Kurtosis of 0.61 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -28.18%	0	0.00%	0.00%
-28.18% to -20.26%	1	1.39%	1.39%
-20.26% to -12.34%	2	2.78%	4.17%
-12.34% to -4.42%	9	12.50%	16.67%
-4.42% to 3.50%	29	40.28%	56.94%
3.50% to 11.41%	18	25.00%	81.94%
11.41% to 19.33%	6	8.33%	90.28%
19.33% to 27.25%	5	6.94%	97.22%
27.25% to 35.17%	2	2.78%	100.00%
Greater than 35.17%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.06%	14.05%	69.44%	68.27%
±2σ	-17.62%	24.61%	94.44%	95.45%
±3σ	-28.18%	35.17%	100.00%	99.73%

Descriptive Statistics

Mean	3.496%
Standard Error	1.244%
Median	2.989%
Mode	-22.704%
Standard Deviation	10.557%
Sample Variance	111.441%
Kurtosis	0.61
Skewness	0.49
Range	55.479%
Minimum	-22.704%
Maximum	32.775%
Count	72

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.773%	43	59.72%	5.837%
Negative	-5.812%	29	40.28%	-2.341%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	18.27%
12	3 Years	17.35%
20	5 Years	17.20%
40	10 Years	17.62%
80	20 Years	16.75%
200	50 Years	16.75%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.59. Further, an Excess Kurtosis of 9.29 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -12.96%	0	0.00%	0.00%
-12.96% to -5.05%	0	0.00%	0.00%
-5.05% to 2.87%	0	0.00%	0.00%
2.87% to 10.78%	14	19.18%	19.18%
10.78% to 18.70%	28	38.36%	57.53%
18.70% to 26.61%	22	30.14%	87.67%
26.61% to 34.53%	5	6.85%	94.52%
34.53% to 42.44%	2	2.74%	97.26%
42.44% to 50.36%	0	0.00%	97.26%
Greater than 50.36%	2	2.74%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	8.14%	29.25%	86.30%	68.27%
±2σ	-2.41%	39.80%	95.89%	95.45%
±3σ	-12.96%	50.36%	97.26%	99.73%

Descriptive Statistics

Mean	18.697%
Standard Error	1.235%
Median	17.251%
Mode	7.462%
Standard Deviation	10.553%
Sample Variance	111.371%
Kurtosis	9.29
Skewness	2.59
Range	61.487%
Minimum	7.462%
Maximum	68.949%
Count	73

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	18.697%	73	100.00%	18.697%
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 0.21. Further, an Excess Kurtosis of 0.85 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -30.97%	0	0.00%	0.00%
-30.97% to -23.52%	1	1.37%	1.37%
-23.52% to -16.07%	5	6.85%	8.22%
-16.07% to -8.62%	8	10.96%	19.18%
-8.62% to -1.17%	25	34.25%	53.42%
-1.17% to 6.28%	21	28.77%	82.19%
6.28% to 13.73%	7	9.59%	91.78%
13.73% to 21.18%	5	6.85%	98.63%
21.18% to 28.63%	0	0.00%	98.63%
Greater than 28.63%	1	1.37%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-11.11%	8.76%	71.23%	68.27%
±2σ	-21.04%	18.70%	94.52%	95.45%
±3σ	-30.97%	28.63%	98.63%	99.73%

Descriptive Statistics

Mean	-1.172%
Standard Error	1.163%
Median	-1.422%
Mode	-24.772%
Standard Deviation	9.934%
Sample Variance	98.691%
Kurtosis	0.85
Skewness	0.21
Range	55.309%
Minimum	-24.772%
Maximum	30.537%
Count	73

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.208%	32	43.84%	3.160%
Negative	-7.712%	41	56.16%	-4.331%
Zero	0.000%	0	0.00%	0.000%

PM Deep Analytical Report