VXUS Stock — Vanguard Total International Stock ETF: Options Chain

Calls		Puts
1	1	78.4%	0.987	$13.19	$0.05	-0.046	104.3%	1	1
Call · $70 In the money Snapshot session Jul 28, 2026 Last $13.19 Breakeven $83.19 Implied vol 78.4% Delta 0.987 ≈99% ITM Gamma 0.004 Theta -0.024 Vega 0.005 Open interest 1 Model this call Put · $70 Snapshot session Jul 23, 2026 Last $0.05 Breakeven $69.95 Implied vol 104.3% Delta -0.046 ≈5% ITM Gamma 0.008 Theta -0.089 Vega 0.011 Open interest 1 Model this put
1	1	—	—	$9.29	$0.15	-0.048	79.3%	1	1
Call · $74 In the money Snapshot session Jul 28, 2026 Last $9.29 Breakeven $83.29 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $74 Snapshot session Jul 20, 2026 Last $0.15 Breakeven $73.85 Implied vol 79.3% Delta -0.048 ≈5% ITM Gamma 0.011 Theta -0.071 Vega 0.011 Open interest 1 Model this put
0	1	56.1%	0.983	$12.72	$0.20	-0.051	74.4%	10	29
Call · $75 In the money Snapshot session Aug 13, 2026 Last $12.72 Breakeven $87.72 Implied vol 56.1% Delta 0.983 ≈98% ITM Gamma 0.006 Theta -0.021 Vega 0.006 Open interest 0 Model this call Put · $75 Snapshot session Aug 12, 2026 Last $0.20 Breakeven $74.80 Implied vol 74.4% Delta -0.051 ≈5% ITM Gamma 0.012 Theta -0.07 Vega 0.011 Open interest 29 Model this put
0	—	51.9%	0.983	—	—	-0.063	73.6%	—	0
Call · $76 In the money Snapshot session Unknown Last — Breakeven — Implied vol 51.9% Delta 0.983 ≈98% ITM Gamma 0.007 Theta -0.021 Vega 0.006 Open interest 0 Model this call Put · $76 Snapshot session Unknown Last — Breakeven — Implied vol 73.6% Delta -0.063 ≈6% ITM Gamma 0.014 Theta -0.082 Vega 0.019 Open interest 0 Model this put
0	—	47.7%	0.981	—	$0.13	-0.079	71.9%	1	14
Call · $77 In the money Snapshot session Unknown Last — Breakeven — Implied vol 47.7% Delta 0.981 ≈98% ITM Gamma 0.008 Theta -0.02 Vega 0.006 Open interest 0 Model this call Put · $77 Snapshot session Aug 12, 2026 Last $0.13 Breakeven $76.87 Implied vol 71.9% Delta -0.079 ≈8% ITM Gamma 0.017 Theta -0.095 Vega 0.02 Open interest 14 Model this put
2	1	54.6%	0.951	$6.20	$0.05	-0.097	70.2%	1	2
Call · $78 In the money Snapshot session Jul 27, 2026 Last $6.20 Breakeven $84.20 Implied vol 54.6% Delta 0.951 ≈95% ITM Gamma 0.016 Theta -0.051 Vega 0.011 Open interest 2 Model this call Put · $78 Snapshot session Aug 7, 2026 Last $0.05 Breakeven $77.95 Implied vol 70.2% Delta -0.097 ≈10% ITM Gamma 0.021 Theta -0.107 Vega 0.02 Open interest 2 Model this put
0	—	52.2%	0.949	—	—	-0.104	68.7%	—	0
Call · $78.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 52.2% Delta 0.949 ≈95% ITM Gamma 0.017 Theta -0.051 Vega 0.011 Open interest 0 Model this call Put · $78.5 Snapshot session Unknown Last — Breakeven — Implied vol 68.7% Delta -0.104 ≈10% ITM Gamma 0.022 Theta -0.111 Vega 0.02 Open interest 0 Model this put
0	—	39.4%	0.979	—	$0.27	-0.073	55.8%	2	14
Call · $79 In the money Snapshot session Unknown Last — Breakeven — Implied vol 39.4% Delta 0.979 ≈98% ITM Gamma 0.011 Theta -0.019 Vega 0.006 Open interest 0 Model this call Put · $79 Snapshot session Aug 3, 2026 Last $0.27 Breakeven $78.73 Implied vol 55.8% Delta -0.073 ≈7% ITM Gamma 0.021 Theta -0.069 Vega 0.02 Open interest 14 Model this put
0	—	37.4%	0.978	—	$0.23	-0.07	51.9%	1	2
Call · $79.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 37.4% Delta 0.978 ≈98% ITM Gamma 0.012 Theta -0.019 Vega 0.006 Open interest 0 Model this call Put · $79.5 Snapshot session Aug 3, 2026 Last $0.23 Breakeven $79.27 Implied vol 51.9% Delta -0.07 ≈7% ITM Gamma 0.022 Theta -0.063 Vega 0.02 Open interest 2 Model this put
4	1	45.3%	0.942	$6.65	$0.05	-0.047	42%	3	109
Call · $80 In the money Snapshot session Aug 11, 2026 Last $6.65 Breakeven $86.65 Implied vol 45.3% Delta 0.942 ≈94% ITM Gamma 0.022 Theta -0.049 Vega 0.011 Open interest 4 Model this call Put · $80 Snapshot session Aug 13, 2026 Last $0.05 Breakeven $79.95 Implied vol 42% Delta -0.047 ≈5% ITM Gamma 0.02 Theta -0.036 Vega 0.011 Open interest 109 Model this put
0	—	33.3%	0.976	—	—	-0.089	49.1%	—	0
Call · $80.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 33.3% Delta 0.976 ≈98% ITM Gamma 0.014 Theta -0.019 Vega 0.006 Open interest 0 Model this call Put · $80.5 Snapshot session Unknown Last — Breakeven — Implied vol 49.1% Delta -0.089 ≈9% ITM Gamma 0.028 Theta -0.07 Vega 0.02 Open interest 0 Model this put
2	1	40.7%	0.936	$2.50	$0.30	-0.06	39.7%	5	53
Call · $81 In the money Snapshot session Jul 29, 2026 Last $2.50 Breakeven $83.50 Implied vol 40.7% Delta 0.936 ≈94% ITM Gamma 0.026 Theta -0.048 Vega 0.012 Open interest 2 Model this call Put · $81 Snapshot session Aug 10, 2026 Last $0.30 Breakeven $80.70 Implied vol 39.7% Delta -0.06 ≈6% ITM Gamma 0.026 Theta -0.042 Vega 0.012 Open interest 53 Model this put
0	—	38.1%	0.933	—	$0.48	-0.085	41.3%	2	14
Call · $81.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 38.1% Delta 0.933 ≈93% ITM Gamma 0.029 Theta -0.047 Vega 0.02 Open interest 0 Model this call Put · $81.5 Snapshot session Aug 3, 2026 Last $0.48 Breakeven $81.02 Implied vol 41.3% Delta -0.085 ≈9% ITM Gamma 0.032 Theta -0.057 Vega 0.02 Open interest 14 Model this put
36	6	—	—	$5.64	$0.05	-0.058	33.1%	4	247
Call · $82 In the money Snapshot session Aug 14, 2026 Last $5.64 Breakeven $87.64 Implied vol — Delta — Gamma — Theta — Vega — Open interest 36 Model this call Put · $82 Snapshot session Aug 14, 2026 Last $0.05 Breakeven $81.95 Implied vol 33.1% Delta -0.058 ≈6% ITM Gamma 0.03 Theta -0.034 Vega 0.012 Open interest 247 Model this put
3	3	32.9%	0.925	$2.50	$1.23	-0.096	36.1%	2	9
Call · $82.5 In the money Snapshot session Jul 27, 2026 Last $2.50 Breakeven $85.00 Implied vol 32.9% Delta 0.925 ≈92% ITM Gamma 0.036 Theta -0.044 Vega 0.02 Open interest 3 Model this call Put · $82.5 Snapshot session Jul 28, 2026 Last $1.23 Breakeven $81.27 Implied vol 36.1% Delta -0.096 ≈10% ITM Gamma 0.04 Theta -0.055 Vega 0.02 Open interest 9 Model this put
16	2	41.2%	0.852	$4.90	$0.05	-0.188	49%	1	77
Call · $83 In the money Snapshot session Aug 10, 2026 Last $4.90 Breakeven $87.90 Implied vol 41.2% Delta 0.852 ≈85% ITM Gamma 0.048 Theta -0.087 Vega 0.03 Open interest 16 Model this call Put · $83 Snapshot session Aug 14, 2026 Last $0.05 Breakeven $82.95 Implied vol 49% Delta -0.188 ≈19% ITM Gamma 0.047 Theta -0.118 Vega 0.03 Open interest 77 Model this put
1	1	—	—	$1.80	—	-0.101	29.8%	—	0
Call · $83.5 In the money Snapshot session Jul 20, 2026 Last $1.80 Breakeven $85.30 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $83.5 Snapshot session Unknown Last — Breakeven — Implied vol 29.8% Delta -0.101 ≈10% ITM Gamma 0.05 Theta -0.047 Vega 0.02 Open interest 0 Model this put
11	1	—	—	$3.70	$0.15	-0.077	23.6%	3	60
Call · $84 In the money Snapshot session Aug 14, 2026 Last $3.70 Breakeven $87.70 Implied vol — Delta — Gamma — Theta — Vega — Open interest 11 Model this call Put · $84 Snapshot session Aug 14, 2026 Last $0.15 Breakeven $83.85 Implied vol 23.6% Delta -0.077 ≈8% ITM Gamma 0.052 Theta -0.03 Vega 0.02 Open interest 60 Model this put
8	2	27.1%	0.86	$2.53	$0.20	-0.145	27.6%	1	11
Call · $84.5 In the money Snapshot session Aug 6, 2026 Last $2.53 Breakeven $87.03 Implied vol 27.1% Delta 0.86 ≈86% ITM Gamma 0.07 Theta -0.056 Vega 0.031 Open interest 8 Model this call Put · $84.5 Snapshot session Aug 12, 2026 Last $0.20 Breakeven $84.30 Implied vol 27.6% Delta -0.145 ≈14% ITM Gamma 0.07 Theta -0.056 Vega 0.031 Open interest 11 Model this put
305	1	14.5%	0.953	$2.97	$0.07	-0.079	17.3%	2	49
Call · $85 In the money Snapshot session Aug 14, 2026 Last $2.97 Breakeven $87.97 Implied vol 14.5% Delta 0.953 ≈95% ITM Gamma 0.056 Theta -0.015 Vega 0.012 Open interest 305 Model this call Put · $85 Snapshot session Aug 14, 2026 Last $0.07 Breakeven $84.93 Implied vol 17.3% Delta -0.079 ≈8% ITM Gamma 0.072 Theta -0.023 Vega 0.02 Open interest 49 Model this put
64	1	—	—	$2.50	—	-0.176	21.6%	—	0
Call · $85.5 In the money Snapshot session Aug 13, 2026 Last $2.50 Breakeven $88.00 Implied vol — Delta — Gamma — Theta — Vega — Open interest 64 Model this call Put · $85.5 Snapshot session Unknown Last — Breakeven — Implied vol 21.6% Delta -0.176 ≈18% ITM Gamma 0.102 Theta -0.05 Vega 0.031 Open interest 0 Model this put
112	1	—	—	$1.80	$0.38	-0.255	24.1%	1	10
Call · $86 In the money Snapshot session Aug 14, 2026 Last $1.80 Breakeven $87.80 Implied vol — Delta — Gamma — Theta — Vega — Open interest 112 Model this call Put · $86 Snapshot session Aug 12, 2026 Last $0.38 Breakeven $85.62 Implied vol 24.1% Delta -0.255 ≈25% ITM Gamma 0.113 Theta -0.069 Vega 0.04 Open interest 10 Model this put
88	1	14.3%	0.787	$1.54	$0.20	-0.24	16.2%	2	8
Call · $86.5 In the money Snapshot session Aug 14, 2026 Last $1.54 Breakeven $88.04 Implied vol 14.3% Delta 0.787 ≈79% ITM Gamma 0.174 Theta -0.04 Vega 0.031 Open interest 88 Model this call Put · $86.5 Snapshot session Aug 14, 2026 Last $0.20 Breakeven $86.30 Implied vol 16.2% Delta -0.24 ≈24% ITM Gamma 0.165 Theta -0.045 Vega 0.04 Open interest 8 Model this put
378	25	14%	0.692	$1.15	$0.35	-0.319	15%	4	31
Call · $87 In the money Snapshot session Aug 14, 2026 Last $1.15 Breakeven $88.15 Implied vol 14% Delta 0.692 ≈69% ITM Gamma 0.214 Theta -0.046 Vega 0.041 Open interest 378 Model this call Put · $87 Snapshot session Aug 14, 2026 Last $0.35 Breakeven $86.65 Implied vol 15% Delta -0.319 ≈32% ITM Gamma 0.203 Theta -0.048 Vega 0.041 Open interest 31 Model this put
539	4	10.5%	0.603	$0.73	$1.24	-0.396	10.4%	6	3
Call · $87.5 In the money Snapshot session Aug 14, 2026 Last $0.73 Breakeven $88.23 Implied vol 10.5% Delta 0.603 ≈60% ITM Gamma 0.312 Theta -0.038 Vega 0.047 Open interest 539 Model this call Put · $87.5 Snapshot session Aug 10, 2026 Last $1.24 Breakeven $86.26 Implied vol 10.4% Delta -0.396 ≈40% ITM Gamma 0.318 Theta -0.035 Vega 0.047 Open interest 3 Model this put
Underlying $87.70
635	5	9.6%	0.439	$0.40	$0.71	-0.56	10%	7	23
Call · $88 Snapshot session Aug 14, 2026 Last $0.40 Breakeven $88.40 Implied vol 9.6% Delta 0.439 ≈44% ITM Gamma 0.348 Theta -0.035 Vega 0.047 Open interest 635 Model this call Put · $88 In the money Snapshot session Aug 14, 2026 Last $0.71 Breakeven $87.29 Implied vol 10% Delta -0.56 ≈56% ITM Gamma 0.337 Theta -0.034 Vega 0.047 Open interest 23 Model this put
45	2	14.5%	0.349	$0.25	$0.99	—	—	1	0
Call · $88.5 Snapshot session Aug 14, 2026 Last $0.25 Breakeven $88.75 Implied vol 14.5% Delta 0.349 ≈35% ITM Gamma 0.219 Theta -0.05 Vega 0.041 Open interest 45 Model this call Put · $88.5 In the money Snapshot session Aug 14, 2026 Last $0.99 Breakeven $87.51 Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
121	8	13.1%	0.225	$0.20	$4.60	-0.673	21.5%	2	0
Call · $89 Snapshot session Aug 13, 2026 Last $0.20 Breakeven $89.20 Implied vol 13.1% Delta 0.225 ≈22% ITM Gamma 0.197 Theta -0.036 Vega 0.032 Open interest 121 Model this call Put · $89 In the money Snapshot session Jul 9, 2026 Last $4.60 Breakeven $84.40 Implied vol 21.5% Delta -0.673 ≈67% ITM Gamma 0.144 Theta -0.068 Vega 0.041 Open interest 0 Model this put
0	—	15.9%	0.191	—	—	-0.773	18.7%	—	0
Call · $89.5 Snapshot session Unknown Last — Breakeven — Implied vol 15.9% Delta 0.191 ≈19% ITM Gamma 0.146 Theta -0.039 Vega 0.032 Open interest 0 Model this call Put · $89.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 18.7% Delta -0.773 ≈77% ITM Gamma 0.139 Theta -0.049 Vega 0.032 Open interest 0 Model this put
128	3	19.5%	0.179	$0.05	—	-0.918	13.3%	—	0
Call · $90 Snapshot session Aug 13, 2026 Last $0.05 Breakeven $90.05 Implied vol 19.5% Delta 0.179 ≈18% ITM Gamma 0.114 Theta -0.046 Vega 0.032 Open interest 128 Model this call Put · $90 In the money Snapshot session Unknown Last — Breakeven — Implied vol 13.3% Delta -0.918 ≈92% ITM Gamma 0.102 Theta -0.016 Vega 0.021 Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $90.5 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $90.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
4	1	22%	0.117	$0.10	—	—	—	—	0
Call · $91 Snapshot session Aug 10, 2026 Last $0.10 Breakeven $91.10 Implied vol 22% Delta 0.117 ≈12% ITM Gamma 0.076 Theta -0.039 Vega 0.021 Open interest 4 Model this call Put · $91 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
3	1	22.7%	0.064	$0.05	—	—	—	—	0
Call · $92 Snapshot session Jul 27, 2026 Last $0.05 Breakeven $92.05 Implied vol 22.7% Delta 0.064 ≈6% ITM Gamma 0.047 Theta -0.026 Vega 0.013 Open interest 3 Model this call Put · $92 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	35.7%	0.121	—	$8.35	-0.953	25.6%	2	0
Call · $93 Snapshot session Unknown Last — Breakeven — Implied vol 35.7% Delta 0.121 ≈12% ITM Gamma 0.048 Theta -0.065 Vega 0.022 Open interest 0 Model this call Put · $93 In the money Snapshot session Jul 14, 2026 Last $8.35 Breakeven $84.65 Implied vol 25.6% Delta -0.953 ≈95% ITM Gamma 0.034 Theta -0.021 Vega 0.012 Open interest 0 Model this put
0	—	47.5%	0.149	—	—	-0.958	29.4%	—	0
Call · $94 Snapshot session Unknown Last — Breakeven — Implied vol 47.5% Delta 0.149 ≈15% ITM Gamma 0.042 Theta -0.1 Vega 0.033 Open interest 0 Model this call Put · $94 In the money Snapshot session Unknown Last — Breakeven — Implied vol 29.4% Delta -0.958 ≈96% ITM Gamma 0.027 Theta -0.022 Vega 0.012 Open interest 0 Model this put
4	4	36.1%	0.055	$0.10	—	-0.962	33.2%	—	0
Call · $95 Snapshot session Jun 30, 2026 Last $0.10 Breakeven $95.10 Implied vol 36.1% Delta 0.055 ≈5% ITM Gamma 0.026 Theta -0.036 Vega 0.013 Open interest 4 Model this call Put · $95 In the money Snapshot session Unknown Last — Breakeven — Implied vol 33.2% Delta -0.962 ≈96% ITM Gamma 0.022 Theta -0.022 Vega 0.012 Open interest 0 Model this put
1	1	37.8%	0.041	$0.15	—	-0.965	36.9%	—	0
Call · $96 Snapshot session Jun 26, 2026 Last $0.15 Breakeven $96.15 Implied vol 37.8% Delta 0.041 ≈4% ITM Gamma 0.02 Theta -0.03 Vega 0.013 Open interest 1 Model this call Put · $96 In the money Snapshot session Unknown Last — Breakeven — Implied vol 36.9% Delta -0.965 ≈97% ITM Gamma 0.019 Theta -0.023 Vega 0.012 Open interest 0 Model this put
0	—	49.3%	0.069	—	—	-0.968	40.6%	—	0
Call · $97 Snapshot session Unknown Last — Breakeven — Implied vol 49.3% Delta 0.069 ≈7% ITM Gamma 0.023 Theta -0.059 Vega 0.013 Open interest 0 Model this call Put · $97 In the money Snapshot session Unknown Last — Breakeven — Implied vol 40.6% Delta -0.968 ≈97% ITM Gamma 0.016 Theta -0.024 Vega 0.011 Open interest 0 Model this put

Call · $70 In the money

Snapshot session: Jul 28, 2026
Last: $13.19
Breakeven: $83.19
Implied vol: 78.4%
Delta: 0.987 ≈99% ITM
Gamma: 0.004
Theta: -0.024
Vega: 0.005
Open interest: 1

Model this call

Put · $70

Snapshot session: Jul 23, 2026
Last: $0.05
Breakeven: $69.95
Implied vol: 104.3%
Delta: -0.046 ≈5% ITM
Gamma: 0.008
Theta: -0.089
Vega: 0.011
Open interest: 1

Model this put

Call · $74 In the money

Snapshot session: Jul 28, 2026
Last: $9.29
Breakeven: $83.29
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 1

Model this call

Put · $74

Snapshot session: Jul 20, 2026
Last: $0.15
Breakeven: $73.85
Implied vol: 79.3%
Delta: -0.048 ≈5% ITM
Gamma: 0.011
Theta: -0.071
Vega: 0.011
Open interest: 1

Model this put

Call · $75 In the money

Snapshot session: Aug 13, 2026
Last: $12.72
Breakeven: $87.72
Implied vol: 56.1%
Delta: 0.983 ≈98% ITM
Gamma: 0.006
Theta: -0.021
Vega: 0.006
Open interest: 0

Model this call

Put · $75

Snapshot session: Aug 12, 2026
Last: $0.20
Breakeven: $74.80
Implied vol: 74.4%
Delta: -0.051 ≈5% ITM
Gamma: 0.012
Theta: -0.07
Vega: 0.011
Open interest: 29

Model this put

Call · $76 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 51.9%
Delta: 0.983 ≈98% ITM
Gamma: 0.007
Theta: -0.021
Vega: 0.006
Open interest: 0

Model this call

Put · $76

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 73.6%
Delta: -0.063 ≈6% ITM
Gamma: 0.014
Theta: -0.082
Vega: 0.019
Open interest: 0

Model this put

Call · $77 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 47.7%
Delta: 0.981 ≈98% ITM
Gamma: 0.008
Theta: -0.02
Vega: 0.006
Open interest: 0

Model this call

Put · $77

Snapshot session: Aug 12, 2026
Last: $0.13
Breakeven: $76.87
Implied vol: 71.9%
Delta: -0.079 ≈8% ITM
Gamma: 0.017
Theta: -0.095
Vega: 0.02
Open interest: 14

Model this put

Call · $78 In the money

Snapshot session: Jul 27, 2026
Last: $6.20
Breakeven: $84.20
Implied vol: 54.6%
Delta: 0.951 ≈95% ITM
Gamma: 0.016
Theta: -0.051
Vega: 0.011
Open interest: 2

Model this call

Put · $78

Snapshot session: Aug 7, 2026
Last: $0.05
Breakeven: $77.95
Implied vol: 70.2%
Delta: -0.097 ≈10% ITM
Gamma: 0.021
Theta: -0.107
Vega: 0.02
Open interest: 2

Model this put

Call · $78.5 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 52.2%
Delta: 0.949 ≈95% ITM
Gamma: 0.017
Theta: -0.051
Vega: 0.011
Open interest: 0

Model this call

Put · $78.5

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 68.7%
Delta: -0.104 ≈10% ITM
Gamma: 0.022
Theta: -0.111
Vega: 0.02
Open interest: 0

Model this put

Call · $79 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 39.4%
Delta: 0.979 ≈98% ITM
Gamma: 0.011
Theta: -0.019
Vega: 0.006
Open interest: 0

Model this call

Put · $79

Snapshot session: Aug 3, 2026
Last: $0.27
Breakeven: $78.73
Implied vol: 55.8%
Delta: -0.073 ≈7% ITM
Gamma: 0.021
Theta: -0.069
Vega: 0.02
Open interest: 14

Model this put

Call · $79.5 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 37.4%
Delta: 0.978 ≈98% ITM
Gamma: 0.012
Theta: -0.019
Vega: 0.006
Open interest: 0

Model this call

Put · $79.5

Snapshot session: Aug 3, 2026
Last: $0.23
Breakeven: $79.27
Implied vol: 51.9%
Delta: -0.07 ≈7% ITM
Gamma: 0.022
Theta: -0.063
Vega: 0.02
Open interest: 2

Model this put

Call · $80 In the money

Snapshot session: Aug 11, 2026
Last: $6.65
Breakeven: $86.65
Implied vol: 45.3%
Delta: 0.942 ≈94% ITM
Gamma: 0.022
Theta: -0.049
Vega: 0.011
Open interest: 4

Model this call

Put · $80

Snapshot session: Aug 13, 2026
Last: $0.05
Breakeven: $79.95
Implied vol: 42%
Delta: -0.047 ≈5% ITM
Gamma: 0.02
Theta: -0.036
Vega: 0.011
Open interest: 109

Model this put

Call · $80.5 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 33.3%
Delta: 0.976 ≈98% ITM
Gamma: 0.014
Theta: -0.019
Vega: 0.006
Open interest: 0

Model this call

Put · $80.5

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 49.1%
Delta: -0.089 ≈9% ITM
Gamma: 0.028
Theta: -0.07
Vega: 0.02
Open interest: 0

Model this put

Call · $81 In the money

Snapshot session: Jul 29, 2026
Last: $2.50
Breakeven: $83.50
Implied vol: 40.7%
Delta: 0.936 ≈94% ITM
Gamma: 0.026
Theta: -0.048
Vega: 0.012
Open interest: 2

Model this call

Put · $81

Snapshot session: Aug 10, 2026
Last: $0.30
Breakeven: $80.70
Implied vol: 39.7%
Delta: -0.06 ≈6% ITM
Gamma: 0.026
Theta: -0.042
Vega: 0.012
Open interest: 53

Model this put

Call · $81.5 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 38.1%
Delta: 0.933 ≈93% ITM
Gamma: 0.029
Theta: -0.047
Vega: 0.02
Open interest: 0

Model this call

Put · $81.5

Snapshot session: Aug 3, 2026
Last: $0.48
Breakeven: $81.02
Implied vol: 41.3%
Delta: -0.085 ≈9% ITM
Gamma: 0.032
Theta: -0.057
Vega: 0.02
Open interest: 14

Model this put

Call · $82 In the money

Snapshot session: Aug 14, 2026
Last: $5.64
Breakeven: $87.64
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 36

Model this call

Put · $82

Snapshot session: Aug 14, 2026
Last: $0.05
Breakeven: $81.95
Implied vol: 33.1%
Delta: -0.058 ≈6% ITM
Gamma: 0.03
Theta: -0.034
Vega: 0.012
Open interest: 247

Model this put

Call · $82.5 In the money

Snapshot session: Jul 27, 2026
Last: $2.50
Breakeven: $85.00
Implied vol: 32.9%
Delta: 0.925 ≈92% ITM
Gamma: 0.036
Theta: -0.044
Vega: 0.02
Open interest: 3

Model this call

Put · $82.5

Snapshot session: Jul 28, 2026
Last: $1.23
Breakeven: $81.27
Implied vol: 36.1%
Delta: -0.096 ≈10% ITM
Gamma: 0.04
Theta: -0.055
Vega: 0.02
Open interest: 9

Model this put

Call · $83 In the money

Snapshot session: Aug 10, 2026
Last: $4.90
Breakeven: $87.90
Implied vol: 41.2%
Delta: 0.852 ≈85% ITM
Gamma: 0.048
Theta: -0.087
Vega: 0.03
Open interest: 16

Model this call

Put · $83

Snapshot session: Aug 14, 2026
Last: $0.05
Breakeven: $82.95
Implied vol: 49%
Delta: -0.188 ≈19% ITM
Gamma: 0.047
Theta: -0.118
Vega: 0.03
Open interest: 77

Model this put

Call · $83.5 In the money

Snapshot session: Jul 20, 2026
Last: $1.80
Breakeven: $85.30
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 1

Model this call

Put · $83.5

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 29.8%
Delta: -0.101 ≈10% ITM
Gamma: 0.05
Theta: -0.047
Vega: 0.02
Open interest: 0

Model this put

Call · $84 In the money

Snapshot session: Aug 14, 2026
Last: $3.70
Breakeven: $87.70
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 11

Model this call

Put · $84

Snapshot session: Aug 14, 2026
Last: $0.15
Breakeven: $83.85
Implied vol: 23.6%
Delta: -0.077 ≈8% ITM
Gamma: 0.052
Theta: -0.03
Vega: 0.02
Open interest: 60

Model this put

Call · $84.5 In the money

Snapshot session: Aug 6, 2026
Last: $2.53
Breakeven: $87.03
Implied vol: 27.1%
Delta: 0.86 ≈86% ITM
Gamma: 0.07
Theta: -0.056
Vega: 0.031
Open interest: 8

Model this call

Put · $84.5

Snapshot session: Aug 12, 2026
Last: $0.20
Breakeven: $84.30
Implied vol: 27.6%
Delta: -0.145 ≈14% ITM
Gamma: 0.07
Theta: -0.056
Vega: 0.031
Open interest: 11

Model this put

Call · $85 In the money

Snapshot session: Aug 14, 2026
Last: $2.97
Breakeven: $87.97
Implied vol: 14.5%
Delta: 0.953 ≈95% ITM
Gamma: 0.056
Theta: -0.015
Vega: 0.012
Open interest: 305

Model this call

Put · $85

Snapshot session: Aug 14, 2026
Last: $0.07
Breakeven: $84.93
Implied vol: 17.3%
Delta: -0.079 ≈8% ITM
Gamma: 0.072
Theta: -0.023
Vega: 0.02
Open interest: 49

Model this put

Call · $85.5 In the money

Snapshot session: Aug 13, 2026
Last: $2.50
Breakeven: $88.00
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 64

Model this call

Put · $85.5

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 21.6%
Delta: -0.176 ≈18% ITM
Gamma: 0.102
Theta: -0.05
Vega: 0.031
Open interest: 0

Model this put

Call · $86 In the money

Snapshot session: Aug 14, 2026
Last: $1.80
Breakeven: $87.80
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 112

Model this call

Put · $86

Snapshot session: Aug 12, 2026
Last: $0.38
Breakeven: $85.62
Implied vol: 24.1%
Delta: -0.255 ≈25% ITM
Gamma: 0.113
Theta: -0.069
Vega: 0.04
Open interest: 10

Model this put

Call · $86.5 In the money

Snapshot session: Aug 14, 2026
Last: $1.54
Breakeven: $88.04
Implied vol: 14.3%
Delta: 0.787 ≈79% ITM
Gamma: 0.174
Theta: -0.04
Vega: 0.031
Open interest: 88

Model this call

Put · $86.5

Snapshot session: Aug 14, 2026
Last: $0.20
Breakeven: $86.30
Implied vol: 16.2%
Delta: -0.24 ≈24% ITM
Gamma: 0.165
Theta: -0.045
Vega: 0.04
Open interest: 8

Model this put

Call · $87 In the money

Snapshot session: Aug 14, 2026
Last: $1.15
Breakeven: $88.15
Implied vol: 14%
Delta: 0.692 ≈69% ITM
Gamma: 0.214
Theta: -0.046
Vega: 0.041
Open interest: 378

Model this call

Put · $87

Snapshot session: Aug 14, 2026
Last: $0.35
Breakeven: $86.65
Implied vol: 15%
Delta: -0.319 ≈32% ITM
Gamma: 0.203
Theta: -0.048
Vega: 0.041
Open interest: 31

Model this put

Call · $87.5 In the money

Snapshot session: Aug 14, 2026
Last: $0.73
Breakeven: $88.23
Implied vol: 10.5%
Delta: 0.603 ≈60% ITM
Gamma: 0.312
Theta: -0.038
Vega: 0.047
Open interest: 539

Model this call

Put · $87.5

Snapshot session: Aug 10, 2026
Last: $1.24
Breakeven: $86.26
Implied vol: 10.4%
Delta: -0.396 ≈40% ITM
Gamma: 0.318
Theta: -0.035
Vega: 0.047
Open interest: 3

Model this put

Call · $88

Snapshot session: Aug 14, 2026
Last: $0.40
Breakeven: $88.40
Implied vol: 9.6%
Delta: 0.439 ≈44% ITM
Gamma: 0.348
Theta: -0.035
Vega: 0.047
Open interest: 635

Model this call

Put · $88 In the money

Snapshot session: Aug 14, 2026
Last: $0.71
Breakeven: $87.29
Implied vol: 10%
Delta: -0.56 ≈56% ITM
Gamma: 0.337
Theta: -0.034
Vega: 0.047
Open interest: 23

Model this put

Call · $88.5

Snapshot session: Aug 14, 2026
Last: $0.25
Breakeven: $88.75
Implied vol: 14.5%
Delta: 0.349 ≈35% ITM
Gamma: 0.219
Theta: -0.05
Vega: 0.041
Open interest: 45

Model this call

Put · $88.5 In the money

Snapshot session: Aug 14, 2026
Last: $0.99
Breakeven: $87.51
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 0

Model this put

Call · $89

Snapshot session: Aug 13, 2026
Last: $0.20
Breakeven: $89.20
Implied vol: 13.1%
Delta: 0.225 ≈22% ITM
Gamma: 0.197
Theta: -0.036
Vega: 0.032
Open interest: 121

Model this call

Put · $89 In the money

Snapshot session: Jul 9, 2026
Last: $4.60
Breakeven: $84.40
Implied vol: 21.5%
Delta: -0.673 ≈67% ITM
Gamma: 0.144
Theta: -0.068
Vega: 0.041
Open interest: 0

Model this put

Call · $89.5

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 15.9%
Delta: 0.191 ≈19% ITM
Gamma: 0.146
Theta: -0.039
Vega: 0.032
Open interest: 0

Model this call

Put · $89.5 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 18.7%
Delta: -0.773 ≈77% ITM
Gamma: 0.139
Theta: -0.049
Vega: 0.032
Open interest: 0

Model this put

Call · $90

Snapshot session: Aug 13, 2026
Last: $0.05
Breakeven: $90.05
Implied vol: 19.5%
Delta: 0.179 ≈18% ITM
Gamma: 0.114
Theta: -0.046
Vega: 0.032
Open interest: 128

Model this call

Put · $90 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 13.3%
Delta: -0.918 ≈92% ITM
Gamma: 0.102
Theta: -0.016
Vega: 0.021
Open interest: 0

Model this put

Call · $90.5

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 0

Model this call

Put · $90.5 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 0

Model this put

Call · $91

Snapshot session: Aug 10, 2026
Last: $0.10
Breakeven: $91.10
Implied vol: 22%
Delta: 0.117 ≈12% ITM
Gamma: 0.076
Theta: -0.039
Vega: 0.021
Open interest: 4

Model this call

Put · $91 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 0

Model this put

Call · $92

Snapshot session: Jul 27, 2026
Last: $0.05
Breakeven: $92.05
Implied vol: 22.7%
Delta: 0.064 ≈6% ITM
Gamma: 0.047
Theta: -0.026
Vega: 0.013
Open interest: 3

Model this call

Put · $92 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 0

Model this put

Call · $93

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 35.7%
Delta: 0.121 ≈12% ITM
Gamma: 0.048
Theta: -0.065
Vega: 0.022
Open interest: 0

Model this call

Put · $93 In the money

Snapshot session: Jul 14, 2026
Last: $8.35
Breakeven: $84.65
Implied vol: 25.6%
Delta: -0.953 ≈95% ITM
Gamma: 0.034
Theta: -0.021
Vega: 0.012
Open interest: 0

Model this put

Call · $94

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 47.5%
Delta: 0.149 ≈15% ITM
Gamma: 0.042
Theta: -0.1
Vega: 0.033
Open interest: 0

Model this call

Put · $94 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 29.4%
Delta: -0.958 ≈96% ITM
Gamma: 0.027
Theta: -0.022
Vega: 0.012
Open interest: 0

Model this put

Call · $95

Snapshot session: Jun 30, 2026
Last: $0.10
Breakeven: $95.10
Implied vol: 36.1%
Delta: 0.055 ≈5% ITM
Gamma: 0.026
Theta: -0.036
Vega: 0.013
Open interest: 4

Model this call

Put · $95 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 33.2%
Delta: -0.962 ≈96% ITM
Gamma: 0.022
Theta: -0.022
Vega: 0.012
Open interest: 0

Model this put

Call · $96

Snapshot session: Jun 26, 2026
Last: $0.15
Breakeven: $96.15
Implied vol: 37.8%
Delta: 0.041 ≈4% ITM
Gamma: 0.02
Theta: -0.03
Vega: 0.013
Open interest: 1

Model this call

Put · $96 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 36.9%
Delta: -0.965 ≈97% ITM
Gamma: 0.019
Theta: -0.023
Vega: 0.012
Open interest: 0

Model this put

Call · $97

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 49.3%
Delta: 0.069 ≈7% ITM
Gamma: 0.023
Theta: -0.059
Vega: 0.013
Open interest: 0

Model this call

Put · $97 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 40.6%
Delta: -0.968 ≈97% ITM
Gamma: 0.016
Theta: -0.024
Vega: 0.011
Open interest: 0

Model this put

VXUS · Vanguard Total International Stock ETF

Options Chain

Positioning

Chain

Calls						Puts
OI	Vol	IV	Δ	Last	Strike	Last	Δ	IV	Vol	OI
1	1	78.4%	0.987	$13.19		$0.05	-0.046	104.3%	1	1
Call · $70 In the money Snapshot session Jul 28, 2026 Last $13.19 Breakeven $83.19 Implied vol 78.4% Delta 0.987 ≈99% ITM Gamma 0.004 Theta -0.024 Vega 0.005 Open interest 1 Model this call Put · $70 Snapshot session Jul 23, 2026 Last $0.05 Breakeven $69.95 Implied vol 104.3% Delta -0.046 ≈5% ITM Gamma 0.008 Theta -0.089 Vega 0.011 Open interest 1 Model this put
1	1	—	—	$9.29		$0.15	-0.048	79.3%	1	1
Call · $74 In the money Snapshot session Jul 28, 2026 Last $9.29 Breakeven $83.29 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $74 Snapshot session Jul 20, 2026 Last $0.15 Breakeven $73.85 Implied vol 79.3% Delta -0.048 ≈5% ITM Gamma 0.011 Theta -0.071 Vega 0.011 Open interest 1 Model this put
0	1	56.1%	0.983	$12.72		$0.20	-0.051	74.4%	10	29
Call · $75 In the money Snapshot session Aug 13, 2026 Last $12.72 Breakeven $87.72 Implied vol 56.1% Delta 0.983 ≈98% ITM Gamma 0.006 Theta -0.021 Vega 0.006 Open interest 0 Model this call Put · $75 Snapshot session Aug 12, 2026 Last $0.20 Breakeven $74.80 Implied vol 74.4% Delta -0.051 ≈5% ITM Gamma 0.012 Theta -0.07 Vega 0.011 Open interest 29 Model this put
0	—	51.9%	0.983	—		—	-0.063	73.6%	—	0
Call · $76 In the money Snapshot session Unknown Last — Breakeven — Implied vol 51.9% Delta 0.983 ≈98% ITM Gamma 0.007 Theta -0.021 Vega 0.006 Open interest 0 Model this call Put · $76 Snapshot session Unknown Last — Breakeven — Implied vol 73.6% Delta -0.063 ≈6% ITM Gamma 0.014 Theta -0.082 Vega 0.019 Open interest 0 Model this put
0	—	47.7%	0.981	—		$0.13	-0.079	71.9%	1	14
Call · $77 In the money Snapshot session Unknown Last — Breakeven — Implied vol 47.7% Delta 0.981 ≈98% ITM Gamma 0.008 Theta -0.02 Vega 0.006 Open interest 0 Model this call Put · $77 Snapshot session Aug 12, 2026 Last $0.13 Breakeven $76.87 Implied vol 71.9% Delta -0.079 ≈8% ITM Gamma 0.017 Theta -0.095 Vega 0.02 Open interest 14 Model this put
2	1	54.6%	0.951	$6.20		$0.05	-0.097	70.2%	1	2
Call · $78 In the money Snapshot session Jul 27, 2026 Last $6.20 Breakeven $84.20 Implied vol 54.6% Delta 0.951 ≈95% ITM Gamma 0.016 Theta -0.051 Vega 0.011 Open interest 2 Model this call Put · $78 Snapshot session Aug 7, 2026 Last $0.05 Breakeven $77.95 Implied vol 70.2% Delta -0.097 ≈10% ITM Gamma 0.021 Theta -0.107 Vega 0.02 Open interest 2 Model this put
0	—	52.2%	0.949	—		—	-0.104	68.7%	—	0
Call · $78.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 52.2% Delta 0.949 ≈95% ITM Gamma 0.017 Theta -0.051 Vega 0.011 Open interest 0 Model this call Put · $78.5 Snapshot session Unknown Last — Breakeven — Implied vol 68.7% Delta -0.104 ≈10% ITM Gamma 0.022 Theta -0.111 Vega 0.02 Open interest 0 Model this put
0	—	39.4%	0.979	—		$0.27	-0.073	55.8%	2	14
Call · $79 In the money Snapshot session Unknown Last — Breakeven — Implied vol 39.4% Delta 0.979 ≈98% ITM Gamma 0.011 Theta -0.019 Vega 0.006 Open interest 0 Model this call Put · $79 Snapshot session Aug 3, 2026 Last $0.27 Breakeven $78.73 Implied vol 55.8% Delta -0.073 ≈7% ITM Gamma 0.021 Theta -0.069 Vega 0.02 Open interest 14 Model this put
0	—	37.4%	0.978	—		$0.23	-0.07	51.9%	1	2
Call · $79.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 37.4% Delta 0.978 ≈98% ITM Gamma 0.012 Theta -0.019 Vega 0.006 Open interest 0 Model this call Put · $79.5 Snapshot session Aug 3, 2026 Last $0.23 Breakeven $79.27 Implied vol 51.9% Delta -0.07 ≈7% ITM Gamma 0.022 Theta -0.063 Vega 0.02 Open interest 2 Model this put
4	1	45.3%	0.942	$6.65		$0.05	-0.047	42%	3	109
Call · $80 In the money Snapshot session Aug 11, 2026 Last $6.65 Breakeven $86.65 Implied vol 45.3% Delta 0.942 ≈94% ITM Gamma 0.022 Theta -0.049 Vega 0.011 Open interest 4 Model this call Put · $80 Snapshot session Aug 13, 2026 Last $0.05 Breakeven $79.95 Implied vol 42% Delta -0.047 ≈5% ITM Gamma 0.02 Theta -0.036 Vega 0.011 Open interest 109 Model this put
0	—	33.3%	0.976	—		—	-0.089	49.1%	—	0
Call · $80.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 33.3% Delta 0.976 ≈98% ITM Gamma 0.014 Theta -0.019 Vega 0.006 Open interest 0 Model this call Put · $80.5 Snapshot session Unknown Last — Breakeven — Implied vol 49.1% Delta -0.089 ≈9% ITM Gamma 0.028 Theta -0.07 Vega 0.02 Open interest 0 Model this put
2	1	40.7%	0.936	$2.50		$0.30	-0.06	39.7%	5	53
Call · $81 In the money Snapshot session Jul 29, 2026 Last $2.50 Breakeven $83.50 Implied vol 40.7% Delta 0.936 ≈94% ITM Gamma 0.026 Theta -0.048 Vega 0.012 Open interest 2 Model this call Put · $81 Snapshot session Aug 10, 2026 Last $0.30 Breakeven $80.70 Implied vol 39.7% Delta -0.06 ≈6% ITM Gamma 0.026 Theta -0.042 Vega 0.012 Open interest 53 Model this put
0	—	38.1%	0.933	—		$0.48	-0.085	41.3%	2	14
Call · $81.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 38.1% Delta 0.933 ≈93% ITM Gamma 0.029 Theta -0.047 Vega 0.02 Open interest 0 Model this call Put · $81.5 Snapshot session Aug 3, 2026 Last $0.48 Breakeven $81.02 Implied vol 41.3% Delta -0.085 ≈9% ITM Gamma 0.032 Theta -0.057 Vega 0.02 Open interest 14 Model this put
36	6	—	—	$5.64		$0.05	-0.058	33.1%	4	247
Call · $82 In the money Snapshot session Aug 14, 2026 Last $5.64 Breakeven $87.64 Implied vol — Delta — Gamma — Theta — Vega — Open interest 36 Model this call Put · $82 Snapshot session Aug 14, 2026 Last $0.05 Breakeven $81.95 Implied vol 33.1% Delta -0.058 ≈6% ITM Gamma 0.03 Theta -0.034 Vega 0.012 Open interest 247 Model this put
3	3	32.9%	0.925	$2.50		$1.23	-0.096	36.1%	2	9
Call · $82.5 In the money Snapshot session Jul 27, 2026 Last $2.50 Breakeven $85.00 Implied vol 32.9% Delta 0.925 ≈92% ITM Gamma 0.036 Theta -0.044 Vega 0.02 Open interest 3 Model this call Put · $82.5 Snapshot session Jul 28, 2026 Last $1.23 Breakeven $81.27 Implied vol 36.1% Delta -0.096 ≈10% ITM Gamma 0.04 Theta -0.055 Vega 0.02 Open interest 9 Model this put
16	2	41.2%	0.852	$4.90		$0.05	-0.188	49%	1	77
Call · $83 In the money Snapshot session Aug 10, 2026 Last $4.90 Breakeven $87.90 Implied vol 41.2% Delta 0.852 ≈85% ITM Gamma 0.048 Theta -0.087 Vega 0.03 Open interest 16 Model this call Put · $83 Snapshot session Aug 14, 2026 Last $0.05 Breakeven $82.95 Implied vol 49% Delta -0.188 ≈19% ITM Gamma 0.047 Theta -0.118 Vega 0.03 Open interest 77 Model this put
1	1	—	—	$1.80		—	-0.101	29.8%	—	0
Call · $83.5 In the money Snapshot session Jul 20, 2026 Last $1.80 Breakeven $85.30 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $83.5 Snapshot session Unknown Last — Breakeven — Implied vol 29.8% Delta -0.101 ≈10% ITM Gamma 0.05 Theta -0.047 Vega 0.02 Open interest 0 Model this put
11	1	—	—	$3.70		$0.15	-0.077	23.6%	3	60
Call · $84 In the money Snapshot session Aug 14, 2026 Last $3.70 Breakeven $87.70 Implied vol — Delta — Gamma — Theta — Vega — Open interest 11 Model this call Put · $84 Snapshot session Aug 14, 2026 Last $0.15 Breakeven $83.85 Implied vol 23.6% Delta -0.077 ≈8% ITM Gamma 0.052 Theta -0.03 Vega 0.02 Open interest 60 Model this put
8	2	27.1%	0.86	$2.53		$0.20	-0.145	27.6%	1	11
Call · $84.5 In the money Snapshot session Aug 6, 2026 Last $2.53 Breakeven $87.03 Implied vol 27.1% Delta 0.86 ≈86% ITM Gamma 0.07 Theta -0.056 Vega 0.031 Open interest 8 Model this call Put · $84.5 Snapshot session Aug 12, 2026 Last $0.20 Breakeven $84.30 Implied vol 27.6% Delta -0.145 ≈14% ITM Gamma 0.07 Theta -0.056 Vega 0.031 Open interest 11 Model this put
305	1	14.5%	0.953	$2.97		$0.07	-0.079	17.3%	2	49
Call · $85 In the money Snapshot session Aug 14, 2026 Last $2.97 Breakeven $87.97 Implied vol 14.5% Delta 0.953 ≈95% ITM Gamma 0.056 Theta -0.015 Vega 0.012 Open interest 305 Model this call Put · $85 Snapshot session Aug 14, 2026 Last $0.07 Breakeven $84.93 Implied vol 17.3% Delta -0.079 ≈8% ITM Gamma 0.072 Theta -0.023 Vega 0.02 Open interest 49 Model this put
64	1	—	—	$2.50		—	-0.176	21.6%	—	0
Call · $85.5 In the money Snapshot session Aug 13, 2026 Last $2.50 Breakeven $88.00 Implied vol — Delta — Gamma — Theta — Vega — Open interest 64 Model this call Put · $85.5 Snapshot session Unknown Last — Breakeven — Implied vol 21.6% Delta -0.176 ≈18% ITM Gamma 0.102 Theta -0.05 Vega 0.031 Open interest 0 Model this put
112	1	—	—	$1.80		$0.38	-0.255	24.1%	1	10
Call · $86 In the money Snapshot session Aug 14, 2026 Last $1.80 Breakeven $87.80 Implied vol — Delta — Gamma — Theta — Vega — Open interest 112 Model this call Put · $86 Snapshot session Aug 12, 2026 Last $0.38 Breakeven $85.62 Implied vol 24.1% Delta -0.255 ≈25% ITM Gamma 0.113 Theta -0.069 Vega 0.04 Open interest 10 Model this put
88	1	14.3%	0.787	$1.54		$0.20	-0.24	16.2%	2	8
Call · $86.5 In the money Snapshot session Aug 14, 2026 Last $1.54 Breakeven $88.04 Implied vol 14.3% Delta 0.787 ≈79% ITM Gamma 0.174 Theta -0.04 Vega 0.031 Open interest 88 Model this call Put · $86.5 Snapshot session Aug 14, 2026 Last $0.20 Breakeven $86.30 Implied vol 16.2% Delta -0.24 ≈24% ITM Gamma 0.165 Theta -0.045 Vega 0.04 Open interest 8 Model this put
378	25	14%	0.692	$1.15		$0.35	-0.319	15%	4	31
Call · $87 In the money Snapshot session Aug 14, 2026 Last $1.15 Breakeven $88.15 Implied vol 14% Delta 0.692 ≈69% ITM Gamma 0.214 Theta -0.046 Vega 0.041 Open interest 378 Model this call Put · $87 Snapshot session Aug 14, 2026 Last $0.35 Breakeven $86.65 Implied vol 15% Delta -0.319 ≈32% ITM Gamma 0.203 Theta -0.048 Vega 0.041 Open interest 31 Model this put
539	4	10.5%	0.603	$0.73		$1.24	-0.396	10.4%	6	3
Call · $87.5 In the money Snapshot session Aug 14, 2026 Last $0.73 Breakeven $88.23 Implied vol 10.5% Delta 0.603 ≈60% ITM Gamma 0.312 Theta -0.038 Vega 0.047 Open interest 539 Model this call Put · $87.5 Snapshot session Aug 10, 2026 Last $1.24 Breakeven $86.26 Implied vol 10.4% Delta -0.396 ≈40% ITM Gamma 0.318 Theta -0.035 Vega 0.047 Open interest 3 Model this put
Underlying $87.70
635	5	9.6%	0.439	$0.40		$0.71	-0.56	10%	7	23
Call · $88 Snapshot session Aug 14, 2026 Last $0.40 Breakeven $88.40 Implied vol 9.6% Delta 0.439 ≈44% ITM Gamma 0.348 Theta -0.035 Vega 0.047 Open interest 635 Model this call Put · $88 In the money Snapshot session Aug 14, 2026 Last $0.71 Breakeven $87.29 Implied vol 10% Delta -0.56 ≈56% ITM Gamma 0.337 Theta -0.034 Vega 0.047 Open interest 23 Model this put
45	2	14.5%	0.349	$0.25		$0.99	—	—	1	0
Call · $88.5 Snapshot session Aug 14, 2026 Last $0.25 Breakeven $88.75 Implied vol 14.5% Delta 0.349 ≈35% ITM Gamma 0.219 Theta -0.05 Vega 0.041 Open interest 45 Model this call Put · $88.5 In the money Snapshot session Aug 14, 2026 Last $0.99 Breakeven $87.51 Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
121	8	13.1%	0.225	$0.20		$4.60	-0.673	21.5%	2	0
Call · $89 Snapshot session Aug 13, 2026 Last $0.20 Breakeven $89.20 Implied vol 13.1% Delta 0.225 ≈22% ITM Gamma 0.197 Theta -0.036 Vega 0.032 Open interest 121 Model this call Put · $89 In the money Snapshot session Jul 9, 2026 Last $4.60 Breakeven $84.40 Implied vol 21.5% Delta -0.673 ≈67% ITM Gamma 0.144 Theta -0.068 Vega 0.041 Open interest 0 Model this put
0	—	15.9%	0.191	—		—	-0.773	18.7%	—	0
Call · $89.5 Snapshot session Unknown Last — Breakeven — Implied vol 15.9% Delta 0.191 ≈19% ITM Gamma 0.146 Theta -0.039 Vega 0.032 Open interest 0 Model this call Put · $89.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol 18.7% Delta -0.773 ≈77% ITM Gamma 0.139 Theta -0.049 Vega 0.032 Open interest 0 Model this put
128	3	19.5%	0.179	$0.05		—	-0.918	13.3%	—	0
Call · $90 Snapshot session Aug 13, 2026 Last $0.05 Breakeven $90.05 Implied vol 19.5% Delta 0.179 ≈18% ITM Gamma 0.114 Theta -0.046 Vega 0.032 Open interest 128 Model this call Put · $90 In the money Snapshot session Unknown Last — Breakeven — Implied vol 13.3% Delta -0.918 ≈92% ITM Gamma 0.102 Theta -0.016 Vega 0.021 Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $90.5 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $90.5 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
4	1	22%	0.117	$0.10		—	—	—	—	0
Call · $91 Snapshot session Aug 10, 2026 Last $0.10 Breakeven $91.10 Implied vol 22% Delta 0.117 ≈12% ITM Gamma 0.076 Theta -0.039 Vega 0.021 Open interest 4 Model this call Put · $91 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
3	1	22.7%	0.064	$0.05		—	—	—	—	0
Call · $92 Snapshot session Jul 27, 2026 Last $0.05 Breakeven $92.05 Implied vol 22.7% Delta 0.064 ≈6% ITM Gamma 0.047 Theta -0.026 Vega 0.013 Open interest 3 Model this call Put · $92 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	35.7%	0.121	—		$8.35	-0.953	25.6%	2	0
Call · $93 Snapshot session Unknown Last — Breakeven — Implied vol 35.7% Delta 0.121 ≈12% ITM Gamma 0.048 Theta -0.065 Vega 0.022 Open interest 0 Model this call Put · $93 In the money Snapshot session Jul 14, 2026 Last $8.35 Breakeven $84.65 Implied vol 25.6% Delta -0.953 ≈95% ITM Gamma 0.034 Theta -0.021 Vega 0.012 Open interest 0 Model this put
0	—	47.5%	0.149	—		—	-0.958	29.4%	—	0
Call · $94 Snapshot session Unknown Last — Breakeven — Implied vol 47.5% Delta 0.149 ≈15% ITM Gamma 0.042 Theta -0.1 Vega 0.033 Open interest 0 Model this call Put · $94 In the money Snapshot session Unknown Last — Breakeven — Implied vol 29.4% Delta -0.958 ≈96% ITM Gamma 0.027 Theta -0.022 Vega 0.012 Open interest 0 Model this put
4	4	36.1%	0.055	$0.10		—	-0.962	33.2%	—	0
Call · $95 Snapshot session Jun 30, 2026 Last $0.10 Breakeven $95.10 Implied vol 36.1% Delta 0.055 ≈5% ITM Gamma 0.026 Theta -0.036 Vega 0.013 Open interest 4 Model this call Put · $95 In the money Snapshot session Unknown Last — Breakeven — Implied vol 33.2% Delta -0.962 ≈96% ITM Gamma 0.022 Theta -0.022 Vega 0.012 Open interest 0 Model this put
1	1	37.8%	0.041	$0.15		—	-0.965	36.9%	—	0
Call · $96 Snapshot session Jun 26, 2026 Last $0.15 Breakeven $96.15 Implied vol 37.8% Delta 0.041 ≈4% ITM Gamma 0.02 Theta -0.03 Vega 0.013 Open interest 1 Model this call Put · $96 In the money Snapshot session Unknown Last — Breakeven — Implied vol 36.9% Delta -0.965 ≈97% ITM Gamma 0.019 Theta -0.023 Vega 0.012 Open interest 0 Model this put
0	—	49.3%	0.069	—		—	-0.968	40.6%	—	0
Call · $97 Snapshot session Unknown Last — Breakeven — Implied vol 49.3% Delta 0.069 ≈7% ITM Gamma 0.023 Theta -0.059 Vega 0.013 Open interest 0 Model this call Put · $97 In the money Snapshot session Unknown Last — Breakeven — Implied vol 40.6% Delta -0.968 ≈97% ITM Gamma 0.016 Theta -0.024 Vega 0.011 Open interest 0 Model this put