BYND - 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	7.29%	7.56%	5.27%	7.77%	11.25%	11.22%	0.65	0.81	0.58	0.91
Weekly	12.61%	25.17%	13.80%	19.00%	24.76%	24.70%	0.57	0.93	0.44	1.19
Monthly	22.76%	155.87%	25.00%	42.64%	51.55%	51.42%	0.43	1.21	0.26	2.03
Quarterly	28.69%	262.47%	54.07%	73.21%	89.29%	89.06%	0.30	1.77	0.12	4.32
Annual	—	—	—	—	178.57%	178.13%	0.12	4.32	0.02	25.79
Option Time Horizon	—	—	—	—	58.37%	58.23%	0.40	1.30	0.23	2.33

Calculation Notes: Computed at 2026-02-22T14:24 UTC | Reference Contract: Call option expiring 2026-04-02 (39 days) | Spot Price (S): $0.73 | Strike (K): $1.00 (first OTM call ≥ spot) | Observed Mid-Price: $0.0900 (Bid $0.0800 / Ask $0.1000) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.00% | Binomial IV (Annual): 178.57% (CRR binomial tree, American, n=20 steps) | BS IV: 179.10% (European Black-Scholes) | Yahoo IV (Annual): 178.13% → period-scaled as σ_period = σ_annual·√h | Price bands: Upper = S·e^+σ√h, Lower = S·e^−σ√h

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 8.01. Further, an Excess Kurtosis of 152.09 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -21.90%	7	0.41%	0.41%
-21.90% to -16.44%	4	0.23%	0.64%
-16.44% to -10.97%	17	0.99%	1.64%
-10.97% to -5.51%	161	9.42%	11.05%
-5.51% to -0.05%	729	42.63%	53.68%
-0.05% to 5.42%	614	35.91%	89.59%
5.42% to 10.88%	122	7.13%	96.73%
10.88% to 16.34%	32	1.87%	98.60%
16.34% to 21.81%	13	0.76%	99.36%
Greater than 21.81%	11	0.64%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.33%	7.24%	87.60%	68.27%
±2σ	-14.62%	14.52%	97.60%	95.45%
±3σ	-21.90%	21.81%	98.95%	99.73%

Descriptive Statistics

Mean	-0.047%
Standard Error	0.176%
Median	-0.413%
Mode	0.000%
Standard Deviation	7.285%
Sample Variance	53.073%
Kurtosis	152.09
Skewness	8.01
Range	194.765%
Minimum	-48.507%
Maximum	146.258%
Count	1710

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.258%	771	45.09%	1.920%
Negative	-3.640%	924	54.03%	-1.967%
Zero	0.000%	15	0.88%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	9.35%
20	1 Month	7.60%
60	1 Quarter	10.35%
250	1 Year	11.00%
750	3 Years	8.22%
1,250	5 Years	7.77%
2,500	10 Years	7.58%
5,000	20 Years	7.58%
12,500	50 Years	7.58%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 11.96. Further, an Excess Kurtosis of 240.84 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -15.21%	0	0.00%	0.00%
-15.21% to -9.54%	0	0.00%	0.00%
-9.54% to -3.88%	0	0.00%	0.00%
-3.88% to 1.79%	1	0.06%	0.06%
1.79% to 7.46%	1137	66.45%	66.51%
7.46% to 13.13%	435	25.42%	91.93%
13.13% to 18.80%	86	5.03%	96.96%
18.80% to 24.47%	22	1.29%	98.25%
24.47% to 30.14%	10	0.58%	98.83%
Greater than 30.14%	20	1.17%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-0.10%	15.02%	94.39%	68.27%
±2σ	-7.65%	22.58%	97.95%	95.45%
±3σ	-15.21%	30.14%	98.83%	99.73%

Descriptive Statistics

Mean	7.462%
Standard Error	0.183%
Median	6.002%
Mode	6.667%
Standard Deviation	7.558%
Sample Variance	57.118%
Kurtosis	240.84
Skewness	11.96
Range	191.881%
Minimum	1.630%
Maximum	193.511%
Count	1711

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.462%	1711	100.00%	7.462%
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 30.14 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -15.43%	12	0.70%	0.70%
-15.43% to -11.48%	16	0.94%	1.64%
-11.48% to -7.52%	52	3.04%	4.68%
-7.52% to -3.57%	155	9.06%	13.73%
-3.57% to 0.38%	603	35.24%	48.98%
0.38% to 4.34%	621	36.29%	85.27%
4.34% to 8.29%	190	11.10%	96.38%
8.29% to 12.24%	40	2.34%	98.71%
12.24% to 16.20%	14	0.82%	99.53%
Greater than 16.20%	8	0.47%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.89%	5.65%	82.00%	68.27%
±2σ	-10.16%	10.93%	96.14%	95.45%
±3σ	-15.43%	16.20%	98.83%	99.73%

Descriptive Statistics

Mean	0.383%
Standard Error	0.127%
Median	0.449%
Mode	0.000%
Standard Deviation	5.271%
Sample Variance	27.783%
Kurtosis	30.14
Skewness	1.42
Range	108.534%
Minimum	-36.188%
Maximum	72.346%
Count	1711

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.486%	932	54.47%	1.899%
Negative	-3.412%	760	44.42%	-1.516%
Zero	0.000%	19	1.11%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.08. Further, an Excess Kurtosis of 6.13 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -38.36%	1	0.28%	0.28%
-38.36% to -28.90%	2	0.56%	0.85%
-28.90% to -19.44%	8	2.25%	3.10%
-19.44% to -9.98%	48	13.52%	16.62%
-9.98% to -0.53%	137	38.59%	55.21%
-0.53% to 8.93%	97	27.32%	82.54%
8.93% to 18.39%	43	12.11%	94.65%
18.39% to 27.85%	11	3.10%	97.75%
27.85% to 37.30%	3	0.85%	98.59%
Greater than 37.30%	5	1.41%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.14%	12.08%	76.90%	68.27%
±2σ	-25.75%	24.69%	95.77%	95.45%
±3σ	-38.36%	37.30%	98.31%	99.73%

Descriptive Statistics

Mean	-0.526%
Standard Error	0.669%
Median	-1.612%
Mode	-7.662%
Standard Deviation	12.610%
Sample Variance	159.000%
Kurtosis	6.13
Skewness	1.08
Range	130.770%
Minimum	-55.957%
Maximum	74.813%
Count	355

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.793%	152	42.82%	4.193%
Negative	-8.252%	203	57.18%	-4.719%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	17.95%
12	1 Quarter	19.84%
52	1 Year	28.16%
156	3 Years	20.22%
260	5 Years	19.00%
520	10 Years	18.72%
1,040	20 Years	18.72%
2,600	50 Years	18.72%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 7.49. Further, an Excess Kurtosis of 74.77 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -54.15%	0	0.00%	0.00%
-54.15% to -35.28%	0	0.00%	0.00%
-35.28% to -16.41%	0	0.00%	0.00%
-16.41% to 2.47%	0	0.00%	0.00%
2.47% to 21.34%	249	69.94%	69.94%
21.34% to 40.22%	81	22.75%	92.70%
40.22% to 59.09%	14	3.93%	96.63%
59.09% to 77.97%	6	1.69%	98.31%
77.97% to 96.84%	2	0.56%	98.88%
Greater than 96.84%	4	1.12%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.82%	46.51%	95.51%	68.27%
±2σ	-28.99%	71.68%	97.75%	95.45%
±3σ	-54.15%	96.84%	98.88%	99.73%

Descriptive Statistics

Mean	21.344%
Standard Error	1.334%
Median	16.310%
Mode	12.590%
Standard Deviation	25.166%
Sample Variance	633.337%
Kurtosis	74.77
Skewness	7.49
Range	322.770%
Minimum	4.452%
Maximum	327.222%
Count	356

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	21.344%	356	100.00%	21.344%
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 2.40. Further, an Excess Kurtosis of 21.90 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -39.11%	1	0.28%	0.28%
-39.11% to -28.76%	4	1.12%	1.40%
-28.76% to -18.41%	8	2.25%	3.65%
-18.41% to -8.06%	44	12.36%	16.01%
-8.06% to 2.29%	131	36.80%	52.81%
2.29% to 12.63%	117	32.87%	85.67%
12.63% to 22.98%	37	10.39%	96.07%
22.98% to 33.33%	8	2.25%	98.31%
33.33% to 43.68%	3	0.84%	99.16%
Greater than 43.68%	3	0.84%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-11.51%	16.08%	80.62%	68.27%
±2σ	-25.31%	29.88%	95.79%	95.45%
±3σ	-39.11%	43.68%	98.88%	99.73%

Descriptive Statistics

Mean	2.285%
Standard Error	0.731%
Median	1.498%
Mode	5.263%
Standard Deviation	13.798%
Sample Variance	190.378%
Kurtosis	21.90
Skewness	2.40
Range	170.686%
Minimum	-39.768%
Maximum	130.918%
Count	356

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	10.020%	202	56.74%	5.686%
Negative	-7.912%	153	42.98%	-3.400%
Zero	0.000%	1	0.28%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.81. Further, an Excess Kurtosis of 0.34 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -71.74%	0	0.00%	0.00%
-71.74% to -54.67%	0	0.00%	0.00%
-54.67% to -37.61%	4	4.94%	4.94%
-37.61% to -20.54%	13	16.05%	20.99%
-20.54% to -3.47%	32	39.51%	60.49%
-3.47% to 13.60%	16	19.75%	80.25%
13.60% to 30.67%	8	9.88%	90.12%
30.67% to 47.74%	5	6.17%	96.30%
47.74% to 64.81%	3	3.70%	100.00%
Greater than 64.81%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-26.23%	19.29%	72.84%	68.27%
±2σ	-48.98%	42.05%	93.83%	95.45%
±3σ	-71.74%	64.81%	100.00%	99.73%

Descriptive Statistics

Mean	-3.467%
Standard Error	2.529%
Median	-8.872%
Mode	-43.177%
Standard Deviation	22.759%
Sample Variance	517.950%
Kurtosis	0.34
Skewness	0.81
Range	104.657%
Minimum	-43.177%
Maximum	61.480%
Count	81

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	22.953%	27	33.33%	7.651%
Negative	-16.677%	54	66.67%	-11.118%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	44.24%
12	1 Year	67.97%
36	3 Years	47.50%
60	5 Years	42.64%
120	10 Years	43.06%
240	20 Years	43.06%
600	50 Years	43.06%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 8.60. Further, an Excess Kurtosis of 76.45 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -400.55%	0	0.00%	0.00%
-400.55% to -283.65%	0	0.00%	0.00%
-283.65% to -166.74%	0	0.00%	0.00%
-166.74% to -49.84%	0	0.00%	0.00%
-49.84% to 67.07%	64	78.05%	78.05%
67.07% to 183.97%	17	20.73%	98.78%
183.97% to 300.88%	0	0.00%	98.78%
300.88% to 417.78%	0	0.00%	98.78%
417.78% to 534.68%	0	0.00%	98.78%
Greater than 534.68%	1	1.22%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-88.81%	222.94%	98.78%	68.27%
±2σ	-244.68%	378.81%	98.78%	95.45%
±3σ	-400.55%	534.68%	98.78%	99.73%

Descriptive Statistics

Mean	67.066%
Standard Error	17.213%
Median	45.634%
Mode	10.440%
Standard Deviation	155.873%
Sample Variance	24296.326%
Kurtosis	76.45
Skewness	8.60
Range	1427.560%
Minimum	10.440%
Maximum	1438.000%
Count	82

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	67.066%	82	100.00%	67.066%
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 0.11. Further, an Excess Kurtosis of 0.26 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -66.67%	0	0.00%	0.00%
-66.67% to -47.91%	1	1.22%	1.22%
-47.91% to -29.16%	5	6.10%	7.32%
-29.16% to -10.41%	12	14.63%	21.95%
-10.41% to 8.35%	20	24.39%	46.34%
8.35% to 27.10%	27	32.93%	79.27%
27.10% to 45.85%	13	15.85%	95.12%
45.85% to 64.61%	2	2.44%	97.56%
64.61% to 83.36%	2	2.44%	100.00%
Greater than 83.36%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-16.66%	33.35%	68.29%	68.27%
±2σ	-41.66%	58.35%	95.12%	95.45%
±3σ	-66.67%	83.36%	100.00%	99.73%

Descriptive Statistics

Mean	8.346%
Standard Error	2.761%
Median	9.875%
Mode	-55.820%
Standard Deviation	25.004%
Sample Variance	625.178%
Kurtosis	0.26
Skewness	0.11
Range	131.841%
Minimum	-55.820%
Maximum	76.021%
Count	82

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	21.509%	56	68.29%	14.689%
Negative	-20.006%	26	31.71%	-6.343%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.10. Further, an Excess Kurtosis of -1.08 proves the distribution possesses Thin Tails (Platykurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -99.69%	0	0.00%	0.00%
-99.69% to -78.17%	0	0.00%	0.00%
-78.17% to -56.66%	2	7.41%	7.41%
-56.66% to -35.14%	5	18.52%	25.93%
-35.14% to -13.62%	5	18.52%	44.44%
-13.62% to 7.90%	8	29.63%	74.07%
7.90% to 29.41%	6	22.22%	96.30%
29.41% to 50.93%	1	3.70%	100.00%
50.93% to 72.45%	0	0.00%	100.00%
Greater than 72.45%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-42.31%	15.07%	59.26%	68.27%
±2σ	-71.00%	43.76%	100.00%	95.45%
±3σ	-99.69%	72.45%	100.00%	99.73%

Descriptive Statistics

Mean	-13.620%
Standard Error	5.521%
Median	-10.351%
Mode	-65.291%
Standard Deviation	28.690%
Sample Variance	823.104%
Kurtosis	-1.08
Skewness	-0.10
Range	96.043%
Minimum	-65.291%
Maximum	30.752%
Count	27

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	18.185%	9	33.33%	6.062%
Negative	-29.522%	18	66.67%	-19.681%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	106.12%
12	3 Years	82.88%
20	5 Years	73.21%
40	10 Years	71.46%
80	20 Years	71.46%
200	50 Years	71.46%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.61. Further, an Excess Kurtosis of 22.62 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -626.34%	0	0.00%	0.00%
-626.34% to -429.48%	0	0.00%	0.00%
-429.48% to -232.63%	0	0.00%	0.00%
-232.63% to -35.78%	0	0.00%	0.00%
-35.78% to 161.08%	23	82.14%	82.14%
161.08% to 357.93%	3	10.71%	92.86%
357.93% to 554.78%	1	3.57%	96.43%
554.78% to 751.64%	0	0.00%	96.43%
751.64% to 948.49%	0	0.00%	96.43%
Greater than 948.49%	1	3.57%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-101.40%	423.55%	92.86%	68.27%
±2σ	-363.87%	686.02%	96.43%	95.45%
±3σ	-626.34%	948.49%	96.43%	99.73%

Descriptive Statistics

Mean	161.076%
Standard Error	49.602%
Median	95.627%
Mode	23.680%
Standard Deviation	262.471%
Sample Variance	68891.225%
Kurtosis	22.62
Skewness	4.61
Range	1414.320%
Minimum	23.680%
Maximum	1438.000%
Count	28

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	161.076%	28	100.00%	161.076%
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 1.00. Further, an Excess Kurtosis of 1.60 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -135.94%	0	0.00%	0.00%
-135.94% to -95.39%	0	0.00%	0.00%
-95.39% to -54.84%	1	3.57%	3.57%
-54.84% to -14.29%	5	17.86%	21.43%
-14.29% to 26.27%	12	42.86%	64.29%
26.27% to 66.82%	4	14.29%	78.57%
66.82% to 107.37%	4	14.29%	92.86%
107.37% to 147.92%	1	3.57%	96.43%
147.92% to 188.48%	1	3.57%	100.00%
Greater than 188.48%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-27.80%	80.34%	78.57%	68.27%
±2σ	-81.87%	134.41%	96.43%	95.45%
±3σ	-135.94%	188.48%	100.00%	99.73%

Descriptive Statistics

Mean	26.266%
Standard Error	10.218%
Median	10.456%
Mode	-76.592%
Standard Deviation	54.070%
Sample Variance	2923.542%
Kurtosis	1.60
Skewness	1.00
Range	263.024%
Minimum	-76.592%
Maximum	186.432%
Count	28

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	52.343%	18	64.29%	33.649%
Negative	-20.671%	10	35.71%	-7.382%
Zero	0.000%	0	0.00%	0.000%

BYND Deep Analytical Report