VEU Stock — Vanguard FTSE All-World Ex-US ETF: Options Chain

Calls		Puts
0	—	—	—	—	—	—	—	—	0
Call · $45 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $45 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $50 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $50 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $55 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $55 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $60 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $60 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $65 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $65 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	$0.05	-0.039	87%	5	5
Call · $70 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $70 Snapshot session Jul 30, 2026 Last $0.05 Breakeven $69.95 Implied vol 87% Delta -0.039 ≈4% ITM Gamma 0.008 Theta -0.063 Vega 0.011 Open interest 5 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $71 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $71 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $72 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $72 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $73 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $73 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	—	—	—	0
Call · $74 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $74 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—	—	-0.125	90%	—	0
Call · $75 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $75 Snapshot session Unknown Last — Breakeven — Implied vol 90% Delta -0.125 ≈12% ITM Gamma 0.02 Theta -0.16 Vega 0.029 Open interest 0 Model this put
0	—	—	—	—	$0.25	-0.117	77.5%	1	4
Call · $76 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $76 Snapshot session Jul 22, 2026 Last $0.25 Breakeven $75.75 Implied vol 77.5% Delta -0.117 ≈12% ITM Gamma 0.022 Theta -0.132 Vega 0.02 Open interest 4 Model this put
0	—	46.9%	0.955	—	$0.40	-0.155	80.9%	1	1
Call · $77 In the money Snapshot session Unknown Last — Breakeven — Implied vol 46.9% Delta 0.955 ≈95% ITM Gamma 0.017 Theta -0.04 Vega 0.011 Open interest 0 Model this call Put · $77 Snapshot session Jul 27, 2026 Last $0.40 Breakeven $76.60 Implied vol 80.9% Delta -0.155 ≈15% ITM Gamma 0.025 Theta -0.164 Vega 0.03 Open interest 1 Model this put
0	—	42.2%	0.95	—	$0.60	-0.169	75.1%	1	2
Call · $78 In the money Snapshot session Unknown Last — Breakeven — Implied vol 42.2% Delta 0.95 ≈95% ITM Gamma 0.02 Theta -0.038 Vega 0.011 Open interest 0 Model this call Put · $78 Snapshot session Jul 23, 2026 Last $0.60 Breakeven $77.40 Implied vol 75.1% Delta -0.169 ≈17% ITM Gamma 0.029 Theta -0.161 Vega 0.03 Open interest 2 Model this put
0	—	37.7%	0.945	—	$0.05	-0.273	111.7%	2	3
Call · $79 In the money Snapshot session Unknown Last — Breakeven — Implied vol 37.7% Delta 0.945 ≈95% ITM Gamma 0.025 Theta -0.037 Vega 0.012 Open interest 0 Model this call Put · $79 Snapshot session Aug 10, 2026 Last $0.05 Breakeven $78.95 Implied vol 111.7% Delta -0.273 ≈27% ITM Gamma 0.025 Theta -0.318 Vega 0.039 Open interest 3 Model this put
0	—	33.2%	0.939	—	$0.05	-0.084	37%	10	47
Call · $80 In the money Snapshot session Unknown Last — Breakeven — Implied vol 33.2% Delta 0.939 ≈94% ITM Gamma 0.031 Theta -0.036 Vega 0.012 Open interest 0 Model this call Put · $80 Snapshot session Aug 10, 2026 Last $0.05 Breakeven $79.95 Implied vol 37% Delta -0.084 ≈8% ITM Gamma 0.035 Theta -0.049 Vega 0.02 Open interest 47 Model this put
3	3	28.4%	0.931	$0.95	$0.05	-0.104	33.1%	2	60
Call · $81 In the money Snapshot session Jul 17, 2026 Last $0.95 Breakeven $81.95 Implied vol 28.4% Delta 0.931 ≈93% ITM Gamma 0.04 Theta -0.034 Vega 0.02 Open interest 3 Model this call Put · $81 Snapshot session Aug 11, 2026 Last $0.05 Breakeven $80.95 Implied vol 33.1% Delta -0.104 ≈10% ITM Gamma 0.046 Theta -0.051 Vega 0.02 Open interest 60 Model this put
0	—	27%	0.887	—	$1.42	-0.255	51.4%	1	11
Call · $82 In the money Snapshot session Unknown Last — Breakeven — Implied vol 27% Delta 0.887 ≈89% ITM Gamma 0.061 Theta -0.046 Vega 0.02 Open interest 0 Model this call Put · $82 Snapshot session Jul 21, 2026 Last $1.42 Breakeven $80.58 Implied vol 51.4% Delta -0.255 ≈25% ITM Gamma 0.053 Theta -0.141 Vega 0.04 Open interest 11 Model this put
0	—	20.7%	0.875	—	—	-0.278	41.3%	—	0
Call · $83 In the money Snapshot session Unknown Last — Breakeven — Implied vol 20.7% Delta 0.875 ≈88% ITM Gamma 0.086 Theta -0.039 Vega 0.02 Open interest 0 Model this call Put · $83 Snapshot session Unknown Last — Breakeven — Implied vol 41.3% Delta -0.278 ≈28% ITM Gamma 0.069 Theta -0.118 Vega 0.04 Open interest 0 Model this put
20	4	24%	0.732	$1.50	—	-0.33	35.1%	—	0
Call · $84 In the money Snapshot session Aug 10, 2026 Last $1.50 Breakeven $85.50 Implied vol 24% Delta 0.732 ≈73% ITM Gamma 0.117 Theta -0.07 Vega 0.04 Open interest 20 Model this call Put · $84 Snapshot session Unknown Last — Breakeven — Implied vol 35.1% Delta -0.33 ≈33% ITM Gamma 0.089 Theta -0.109 Vega 0.04 Open interest 0 Model this put
117	37	19.3%	0.626	$0.91	—	-0.402	25.7%	—	0
Call · $85 In the money Snapshot session Aug 10, 2026 Last $0.91 Breakeven $85.91 Implied vol 19.3% Delta 0.626 ≈63% ITM Gamma 0.168 Theta -0.065 Vega 0.046 Open interest 117 Model this call Put · $85 Snapshot session Unknown Last — Breakeven — Implied vol 25.7% Delta -0.402 ≈40% ITM Gamma 0.128 Theta -0.084 Vega 0.046 Open interest 0 Model this put
Underlying $85.68
24	1	23.6%	0.464	$0.50	$0.84	-0.546	19.8%	2	0
Call · $86 Snapshot session Aug 10, 2026 Last $0.50 Breakeven $86.50 Implied vol 23.6% Delta 0.464 ≈46% ITM Gamma 0.144 Theta -0.082 Vega 0.047 Open interest 24 Model this call Put · $86 In the money Snapshot session Aug 14, 2026 Last $0.84 Breakeven $85.16 Implied vol 19.8% Delta -0.546 ≈55% ITM Gamma 0.172 Theta -0.066 Vega 0.047 Open interest 0 Model this put
41	20	23.2%	0.324	$0.30	$3.80	-0.756	15.8%	1	1
Call · $87 Snapshot session Aug 6, 2026 Last $0.30 Breakeven $87.30 Implied vol 23.2% Delta 0.324 ≈32% ITM Gamma 0.133 Theta -0.073 Vega 0.041 Open interest 41 Model this call Put · $87 In the money Snapshot session Aug 3, 2026 Last $3.80 Breakeven $83.20 Implied vol 15.8% Delta -0.756 ≈76% ITM Gamma 0.172 Theta -0.041 Vega 0.041 Open interest 1 Model this put
0	—	39.2%	0.322	—	—	-0.979	10.3%	—	0
Call · $88 Snapshot session Unknown Last — Breakeven — Implied vol 39.2% Delta 0.322 ≈32% ITM Gamma 0.078 Theta -0.121 Vega 0.041 Open interest 0 Model this call Put · $88 In the money Snapshot session Unknown Last — Breakeven — Implied vol 10.3% Delta -0.979 ≈98% ITM Gamma 0.06 Theta -0.003 Vega 0.005 Open interest 0 Model this put
0	—	50.2%	0.305	—	$6.00	-0.984	13.7%	2	0
Call · $89 Snapshot session Unknown Last — Breakeven — Implied vol 50.2% Delta 0.305 ≈30% ITM Gamma 0.059 Theta -0.151 Vega 0.042 Open interest 0 Model this call Put · $89 In the money Snapshot session Jul 15, 2026 Last $6.00 Breakeven $83.00 Implied vol 13.7% Delta -0.984 ≈98% ITM Gamma 0.035 Theta -0.004 Vega 0.005 Open interest 0 Model this put
1	1	—	—	$0.05	—	-0.987	17.1%	—	0
Call · $90 Snapshot session Jul 21, 2026 Last $0.05 Breakeven $90.05 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $90 In the money Snapshot session Unknown Last — Breakeven — Implied vol 17.1% Delta -0.987 ≈99% ITM Gamma 0.024 Theta -0.004 Vega 0.005 Open interest 0 Model this put
0	—	—	—	—	—	-0.966	24.4%	—	0
Call · $91 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $91 In the money Snapshot session Unknown Last — Breakeven — Implied vol 24.4% Delta -0.966 ≈97% ITM Gamma 0.029 Theta -0.014 Vega 0.012 Open interest 0 Model this put
0	—	—	—	—	—	-0.97	28.2%	—	0
Call · $92 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $92 In the money Snapshot session Unknown Last — Breakeven — Implied vol 28.2% Delta -0.97 ≈97% ITM Gamma 0.023 Theta -0.015 Vega 0.006 Open interest 0 Model this put
0	—	—	—	—	—	-0.973	31.5%	—	0
Call · $93 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $93 In the money Snapshot session Unknown Last — Breakeven — Implied vol 31.5% Delta -0.973 ≈97% ITM Gamma 0.019 Theta -0.015 Vega 0.006 Open interest 0 Model this put
0	—	—	—	—	—	-0.975	34.8%	—	0
Call · $94 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $94 In the money Snapshot session Unknown Last — Breakeven — Implied vol 34.8% Delta -0.975 ≈98% ITM Gamma 0.016 Theta -0.015 Vega 0.006 Open interest 0 Model this put
0	—	—	—	—	—	-0.94	47.6%	—	0
Call · $95 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $95 In the money Snapshot session Unknown Last — Breakeven — Implied vol 47.6% Delta -0.94 ≈94% ITM Gamma 0.022 Theta -0.046 Vega 0.013 Open interest 0 Model this put
0	—	—	—	—	—	-0.954	65.4%	—	0
Call · $100 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $100 In the money Snapshot session Unknown Last — Breakeven — Implied vol 65.4% Delta -0.954 ≈95% ITM Gamma 0.013 Theta -0.051 Vega 0.013 Open interest 0 Model this put
0	—	—	—	—	—	-0.962	82.3%	—	0
Call · $105 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $105 In the money Snapshot session Unknown Last — Breakeven — Implied vol 82.3% Delta -0.962 ≈96% ITM Gamma 0.009 Theta -0.056 Vega 0.013 Open interest 0 Model this put
0	—	—	—	—	—	-0.988	81.9%	—	0
Call · $110 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $110 In the money Snapshot session Unknown Last — Breakeven — Implied vol 81.9% Delta -0.988 ≈99% ITM Gamma 0.004 Theta -0.02 Vega 0.003 Open interest 0 Model this put
0	—	—	—	—	—	-0.97	110.9%	—	0
Call · $115 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $115 In the money Snapshot session Unknown Last — Breakeven — Implied vol 110.9% Delta -0.97 ≈97% ITM Gamma 0.005 Theta -0.061 Vega 0.007 Open interest 0 Model this put
0	—	—	—	—	—	-0.973	123.6%	—	0
Call · $120 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $120 In the money Snapshot session Unknown Last — Breakeven — Implied vol 123.6% Delta -0.973 ≈97% ITM Gamma 0.004 Theta -0.063 Vega 0.007 Open interest 0 Model this put

Call · $45 In the money

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

Model this call

Put · $45

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

Model this put

Call · $50 In the money

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

Model this call

Put · $50

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

Model this put

Call · $55 In the money

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

Model this call

Put · $55

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

Model this put

Call · $60 In the money

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

Model this call

Put · $60

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

Model this put

Call · $65 In the money

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

Model this call

Put · $65

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

Model this put

Call · $70 In the money

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

Model this call

Put · $70

Snapshot session: Jul 30, 2026
Last: $0.05
Breakeven: $69.95
Implied vol: 87%
Delta: -0.039 ≈4% ITM
Gamma: 0.008
Theta: -0.063
Vega: 0.011
Open interest: 5

Model this put

Call · $71 In the money

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

Model this call

Put · $71

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

Model this put

Call · $72 In the money

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

Model this call

Put · $72

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

Model this put

Call · $73 In the money

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

Model this call

Put · $73

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

Model this put

Call · $74 In the money

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

Model this call

Put · $74

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

Model this put

Call · $75 In the money

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

Model this call

Put · $75

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 90%
Delta: -0.125 ≈12% ITM
Gamma: 0.02
Theta: -0.16
Vega: 0.029
Open interest: 0

Model this put

Call · $76 In the money

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

Model this call

Put · $76

Snapshot session: Jul 22, 2026
Last: $0.25
Breakeven: $75.75
Implied vol: 77.5%
Delta: -0.117 ≈12% ITM
Gamma: 0.022
Theta: -0.132
Vega: 0.02
Open interest: 4

Model this put

Call · $77 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 46.9%
Delta: 0.955 ≈95% ITM
Gamma: 0.017
Theta: -0.04
Vega: 0.011
Open interest: 0

Model this call

Put · $77

Snapshot session: Jul 27, 2026
Last: $0.40
Breakeven: $76.60
Implied vol: 80.9%
Delta: -0.155 ≈15% ITM
Gamma: 0.025
Theta: -0.164
Vega: 0.03
Open interest: 1

Model this put

Call · $78 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 42.2%
Delta: 0.95 ≈95% ITM
Gamma: 0.02
Theta: -0.038
Vega: 0.011
Open interest: 0

Model this call

Put · $78

Snapshot session: Jul 23, 2026
Last: $0.60
Breakeven: $77.40
Implied vol: 75.1%
Delta: -0.169 ≈17% ITM
Gamma: 0.029
Theta: -0.161
Vega: 0.03
Open interest: 2

Model this put

Call · $79 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 37.7%
Delta: 0.945 ≈95% ITM
Gamma: 0.025
Theta: -0.037
Vega: 0.012
Open interest: 0

Model this call

Put · $79

Snapshot session: Aug 10, 2026
Last: $0.05
Breakeven: $78.95
Implied vol: 111.7%
Delta: -0.273 ≈27% ITM
Gamma: 0.025
Theta: -0.318
Vega: 0.039
Open interest: 3

Model this put

Call · $80 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 33.2%
Delta: 0.939 ≈94% ITM
Gamma: 0.031
Theta: -0.036
Vega: 0.012
Open interest: 0

Model this call

Put · $80

Snapshot session: Aug 10, 2026
Last: $0.05
Breakeven: $79.95
Implied vol: 37%
Delta: -0.084 ≈8% ITM
Gamma: 0.035
Theta: -0.049
Vega: 0.02
Open interest: 47

Model this put

Call · $81 In the money

Snapshot session: Jul 17, 2026
Last: $0.95
Breakeven: $81.95
Implied vol: 28.4%
Delta: 0.931 ≈93% ITM
Gamma: 0.04
Theta: -0.034
Vega: 0.02
Open interest: 3

Model this call

Put · $81

Snapshot session: Aug 11, 2026
Last: $0.05
Breakeven: $80.95
Implied vol: 33.1%
Delta: -0.104 ≈10% ITM
Gamma: 0.046
Theta: -0.051
Vega: 0.02
Open interest: 60

Model this put

Call · $82 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 27%
Delta: 0.887 ≈89% ITM
Gamma: 0.061
Theta: -0.046
Vega: 0.02
Open interest: 0

Model this call

Put · $82

Snapshot session: Jul 21, 2026
Last: $1.42
Breakeven: $80.58
Implied vol: 51.4%
Delta: -0.255 ≈25% ITM
Gamma: 0.053
Theta: -0.141
Vega: 0.04
Open interest: 11

Model this put

Call · $83 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 20.7%
Delta: 0.875 ≈88% ITM
Gamma: 0.086
Theta: -0.039
Vega: 0.02
Open interest: 0

Model this call

Put · $83

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 41.3%
Delta: -0.278 ≈28% ITM
Gamma: 0.069
Theta: -0.118
Vega: 0.04
Open interest: 0

Model this put

Call · $84 In the money

Snapshot session: Aug 10, 2026
Last: $1.50
Breakeven: $85.50
Implied vol: 24%
Delta: 0.732 ≈73% ITM
Gamma: 0.117
Theta: -0.07
Vega: 0.04
Open interest: 20

Model this call

Put · $84

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 35.1%
Delta: -0.33 ≈33% ITM
Gamma: 0.089
Theta: -0.109
Vega: 0.04
Open interest: 0

Model this put

Call · $85 In the money

Snapshot session: Aug 10, 2026
Last: $0.91
Breakeven: $85.91
Implied vol: 19.3%
Delta: 0.626 ≈63% ITM
Gamma: 0.168
Theta: -0.065
Vega: 0.046
Open interest: 117

Model this call

Put · $85

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 25.7%
Delta: -0.402 ≈40% ITM
Gamma: 0.128
Theta: -0.084
Vega: 0.046
Open interest: 0

Model this put

Call · $86

Snapshot session: Aug 10, 2026
Last: $0.50
Breakeven: $86.50
Implied vol: 23.6%
Delta: 0.464 ≈46% ITM
Gamma: 0.144
Theta: -0.082
Vega: 0.047
Open interest: 24

Model this call

Put · $86 In the money

Snapshot session: Aug 14, 2026
Last: $0.84
Breakeven: $85.16
Implied vol: 19.8%
Delta: -0.546 ≈55% ITM
Gamma: 0.172
Theta: -0.066
Vega: 0.047
Open interest: 0

Model this put

Call · $87

Snapshot session: Aug 6, 2026
Last: $0.30
Breakeven: $87.30
Implied vol: 23.2%
Delta: 0.324 ≈32% ITM
Gamma: 0.133
Theta: -0.073
Vega: 0.041
Open interest: 41

Model this call

Put · $87 In the money

Snapshot session: Aug 3, 2026
Last: $3.80
Breakeven: $83.20
Implied vol: 15.8%
Delta: -0.756 ≈76% ITM
Gamma: 0.172
Theta: -0.041
Vega: 0.041
Open interest: 1

Model this put

Call · $88

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 39.2%
Delta: 0.322 ≈32% ITM
Gamma: 0.078
Theta: -0.121
Vega: 0.041
Open interest: 0

Model this call

Put · $88 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 10.3%
Delta: -0.979 ≈98% ITM
Gamma: 0.06
Theta: -0.003
Vega: 0.005
Open interest: 0

Model this put

Call · $89

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 50.2%
Delta: 0.305 ≈30% ITM
Gamma: 0.059
Theta: -0.151
Vega: 0.042
Open interest: 0

Model this call

Put · $89 In the money

Snapshot session: Jul 15, 2026
Last: $6.00
Breakeven: $83.00
Implied vol: 13.7%
Delta: -0.984 ≈98% ITM
Gamma: 0.035
Theta: -0.004
Vega: 0.005
Open interest: 0

Model this put

Call · $90

Snapshot session: Jul 21, 2026
Last: $0.05
Breakeven: $90.05
Implied vol: —
Delta: —
Gamma: —
Theta: —
Vega: —
Open interest: 1

Model this call

Put · $90 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 17.1%
Delta: -0.987 ≈99% ITM
Gamma: 0.024
Theta: -0.004
Vega: 0.005
Open interest: 0

Model this put

Call · $91

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

Model this call

Put · $91 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 24.4%
Delta: -0.966 ≈97% ITM
Gamma: 0.029
Theta: -0.014
Vega: 0.012
Open interest: 0

Model this put

Call · $92

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

Model this call

Put · $92 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 28.2%
Delta: -0.97 ≈97% ITM
Gamma: 0.023
Theta: -0.015
Vega: 0.006
Open interest: 0

Model this put

Call · $93

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

Model this call

Put · $93 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 31.5%
Delta: -0.973 ≈97% ITM
Gamma: 0.019
Theta: -0.015
Vega: 0.006
Open interest: 0

Model this put

Call · $94

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

Model this call

Put · $94 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 34.8%
Delta: -0.975 ≈98% ITM
Gamma: 0.016
Theta: -0.015
Vega: 0.006
Open interest: 0

Model this put

Call · $95

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

Model this call

Put · $95 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 47.6%
Delta: -0.94 ≈94% ITM
Gamma: 0.022
Theta: -0.046
Vega: 0.013
Open interest: 0

Model this put

Call · $100

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

Model this call

Put · $100 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 65.4%
Delta: -0.954 ≈95% ITM
Gamma: 0.013
Theta: -0.051
Vega: 0.013
Open interest: 0

Model this put

Call · $105

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

Model this call

Put · $105 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 82.3%
Delta: -0.962 ≈96% ITM
Gamma: 0.009
Theta: -0.056
Vega: 0.013
Open interest: 0

Model this put

Call · $110

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

Model this call

Put · $110 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 81.9%
Delta: -0.988 ≈99% ITM
Gamma: 0.004
Theta: -0.02
Vega: 0.003
Open interest: 0

Model this put

Call · $115

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

Model this call

Put · $115 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 110.9%
Delta: -0.97 ≈97% ITM
Gamma: 0.005
Theta: -0.061
Vega: 0.007
Open interest: 0

Model this put

Call · $120

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

Model this call

Put · $120 In the money

Snapshot session: Unknown
Last: —
Breakeven: —
Implied vol: 123.6%
Delta: -0.973 ≈97% ITM
Gamma: 0.004
Theta: -0.063
Vega: 0.007
Open interest: 0

Model this put

VEU · Vanguard FTSE All-World Ex-US ETF

Options Chain

Positioning

Chain

Calls						Puts
OI	Vol	IV	Δ	Last	Strike	Last	Δ	IV	Vol	OI
0	—	—	—	—		—	—	—	—	0
Call · $45 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $45 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $50 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $50 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $55 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $55 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $60 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $60 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $65 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $65 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		$0.05	-0.039	87%	5	5
Call · $70 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $70 Snapshot session Jul 30, 2026 Last $0.05 Breakeven $69.95 Implied vol 87% Delta -0.039 ≈4% ITM Gamma 0.008 Theta -0.063 Vega 0.011 Open interest 5 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $71 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $71 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $72 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $72 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $73 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $73 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $74 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $74 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	-0.125	90%	—	0
Call · $75 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $75 Snapshot session Unknown Last — Breakeven — Implied vol 90% Delta -0.125 ≈12% ITM Gamma 0.02 Theta -0.16 Vega 0.029 Open interest 0 Model this put
0	—	—	—	—		$0.25	-0.117	77.5%	1	4
Call · $76 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $76 Snapshot session Jul 22, 2026 Last $0.25 Breakeven $75.75 Implied vol 77.5% Delta -0.117 ≈12% ITM Gamma 0.022 Theta -0.132 Vega 0.02 Open interest 4 Model this put
0	—	46.9%	0.955	—		$0.40	-0.155	80.9%	1	1
Call · $77 In the money Snapshot session Unknown Last — Breakeven — Implied vol 46.9% Delta 0.955 ≈95% ITM Gamma 0.017 Theta -0.04 Vega 0.011 Open interest 0 Model this call Put · $77 Snapshot session Jul 27, 2026 Last $0.40 Breakeven $76.60 Implied vol 80.9% Delta -0.155 ≈15% ITM Gamma 0.025 Theta -0.164 Vega 0.03 Open interest 1 Model this put
0	—	42.2%	0.95	—		$0.60	-0.169	75.1%	1	2
Call · $78 In the money Snapshot session Unknown Last — Breakeven — Implied vol 42.2% Delta 0.95 ≈95% ITM Gamma 0.02 Theta -0.038 Vega 0.011 Open interest 0 Model this call Put · $78 Snapshot session Jul 23, 2026 Last $0.60 Breakeven $77.40 Implied vol 75.1% Delta -0.169 ≈17% ITM Gamma 0.029 Theta -0.161 Vega 0.03 Open interest 2 Model this put
0	—	37.7%	0.945	—		$0.05	-0.273	111.7%	2	3
Call · $79 In the money Snapshot session Unknown Last — Breakeven — Implied vol 37.7% Delta 0.945 ≈95% ITM Gamma 0.025 Theta -0.037 Vega 0.012 Open interest 0 Model this call Put · $79 Snapshot session Aug 10, 2026 Last $0.05 Breakeven $78.95 Implied vol 111.7% Delta -0.273 ≈27% ITM Gamma 0.025 Theta -0.318 Vega 0.039 Open interest 3 Model this put
0	—	33.2%	0.939	—		$0.05	-0.084	37%	10	47
Call · $80 In the money Snapshot session Unknown Last — Breakeven — Implied vol 33.2% Delta 0.939 ≈94% ITM Gamma 0.031 Theta -0.036 Vega 0.012 Open interest 0 Model this call Put · $80 Snapshot session Aug 10, 2026 Last $0.05 Breakeven $79.95 Implied vol 37% Delta -0.084 ≈8% ITM Gamma 0.035 Theta -0.049 Vega 0.02 Open interest 47 Model this put
3	3	28.4%	0.931	$0.95		$0.05	-0.104	33.1%	2	60
Call · $81 In the money Snapshot session Jul 17, 2026 Last $0.95 Breakeven $81.95 Implied vol 28.4% Delta 0.931 ≈93% ITM Gamma 0.04 Theta -0.034 Vega 0.02 Open interest 3 Model this call Put · $81 Snapshot session Aug 11, 2026 Last $0.05 Breakeven $80.95 Implied vol 33.1% Delta -0.104 ≈10% ITM Gamma 0.046 Theta -0.051 Vega 0.02 Open interest 60 Model this put
0	—	27%	0.887	—		$1.42	-0.255	51.4%	1	11
Call · $82 In the money Snapshot session Unknown Last — Breakeven — Implied vol 27% Delta 0.887 ≈89% ITM Gamma 0.061 Theta -0.046 Vega 0.02 Open interest 0 Model this call Put · $82 Snapshot session Jul 21, 2026 Last $1.42 Breakeven $80.58 Implied vol 51.4% Delta -0.255 ≈25% ITM Gamma 0.053 Theta -0.141 Vega 0.04 Open interest 11 Model this put
0	—	20.7%	0.875	—		—	-0.278	41.3%	—	0
Call · $83 In the money Snapshot session Unknown Last — Breakeven — Implied vol 20.7% Delta 0.875 ≈88% ITM Gamma 0.086 Theta -0.039 Vega 0.02 Open interest 0 Model this call Put · $83 Snapshot session Unknown Last — Breakeven — Implied vol 41.3% Delta -0.278 ≈28% ITM Gamma 0.069 Theta -0.118 Vega 0.04 Open interest 0 Model this put
20	4	24%	0.732	$1.50		—	-0.33	35.1%	—	0
Call · $84 In the money Snapshot session Aug 10, 2026 Last $1.50 Breakeven $85.50 Implied vol 24% Delta 0.732 ≈73% ITM Gamma 0.117 Theta -0.07 Vega 0.04 Open interest 20 Model this call Put · $84 Snapshot session Unknown Last — Breakeven — Implied vol 35.1% Delta -0.33 ≈33% ITM Gamma 0.089 Theta -0.109 Vega 0.04 Open interest 0 Model this put
117	37	19.3%	0.626	$0.91		—	-0.402	25.7%	—	0
Call · $85 In the money Snapshot session Aug 10, 2026 Last $0.91 Breakeven $85.91 Implied vol 19.3% Delta 0.626 ≈63% ITM Gamma 0.168 Theta -0.065 Vega 0.046 Open interest 117 Model this call Put · $85 Snapshot session Unknown Last — Breakeven — Implied vol 25.7% Delta -0.402 ≈40% ITM Gamma 0.128 Theta -0.084 Vega 0.046 Open interest 0 Model this put
Underlying $85.68
24	1	23.6%	0.464	$0.50		$0.84	-0.546	19.8%	2	0
Call · $86 Snapshot session Aug 10, 2026 Last $0.50 Breakeven $86.50 Implied vol 23.6% Delta 0.464 ≈46% ITM Gamma 0.144 Theta -0.082 Vega 0.047 Open interest 24 Model this call Put · $86 In the money Snapshot session Aug 14, 2026 Last $0.84 Breakeven $85.16 Implied vol 19.8% Delta -0.546 ≈55% ITM Gamma 0.172 Theta -0.066 Vega 0.047 Open interest 0 Model this put
41	20	23.2%	0.324	$0.30		$3.80	-0.756	15.8%	1	1
Call · $87 Snapshot session Aug 6, 2026 Last $0.30 Breakeven $87.30 Implied vol 23.2% Delta 0.324 ≈32% ITM Gamma 0.133 Theta -0.073 Vega 0.041 Open interest 41 Model this call Put · $87 In the money Snapshot session Aug 3, 2026 Last $3.80 Breakeven $83.20 Implied vol 15.8% Delta -0.756 ≈76% ITM Gamma 0.172 Theta -0.041 Vega 0.041 Open interest 1 Model this put
0	—	39.2%	0.322	—		—	-0.979	10.3%	—	0
Call · $88 Snapshot session Unknown Last — Breakeven — Implied vol 39.2% Delta 0.322 ≈32% ITM Gamma 0.078 Theta -0.121 Vega 0.041 Open interest 0 Model this call Put · $88 In the money Snapshot session Unknown Last — Breakeven — Implied vol 10.3% Delta -0.979 ≈98% ITM Gamma 0.06 Theta -0.003 Vega 0.005 Open interest 0 Model this put
0	—	50.2%	0.305	—		$6.00	-0.984	13.7%	2	0
Call · $89 Snapshot session Unknown Last — Breakeven — Implied vol 50.2% Delta 0.305 ≈30% ITM Gamma 0.059 Theta -0.151 Vega 0.042 Open interest 0 Model this call Put · $89 In the money Snapshot session Jul 15, 2026 Last $6.00 Breakeven $83.00 Implied vol 13.7% Delta -0.984 ≈98% ITM Gamma 0.035 Theta -0.004 Vega 0.005 Open interest 0 Model this put
1	1	—	—	$0.05		—	-0.987	17.1%	—	0
Call · $90 Snapshot session Jul 21, 2026 Last $0.05 Breakeven $90.05 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $90 In the money Snapshot session Unknown Last — Breakeven — Implied vol 17.1% Delta -0.987 ≈99% ITM Gamma 0.024 Theta -0.004 Vega 0.005 Open interest 0 Model this put
0	—	—	—	—		—	-0.966	24.4%	—	0
Call · $91 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $91 In the money Snapshot session Unknown Last — Breakeven — Implied vol 24.4% Delta -0.966 ≈97% ITM Gamma 0.029 Theta -0.014 Vega 0.012 Open interest 0 Model this put
0	—	—	—	—		—	-0.97	28.2%	—	0
Call · $92 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $92 In the money Snapshot session Unknown Last — Breakeven — Implied vol 28.2% Delta -0.97 ≈97% ITM Gamma 0.023 Theta -0.015 Vega 0.006 Open interest 0 Model this put
0	—	—	—	—		—	-0.973	31.5%	—	0
Call · $93 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $93 In the money Snapshot session Unknown Last — Breakeven — Implied vol 31.5% Delta -0.973 ≈97% ITM Gamma 0.019 Theta -0.015 Vega 0.006 Open interest 0 Model this put
0	—	—	—	—		—	-0.975	34.8%	—	0
Call · $94 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $94 In the money Snapshot session Unknown Last — Breakeven — Implied vol 34.8% Delta -0.975 ≈98% ITM Gamma 0.016 Theta -0.015 Vega 0.006 Open interest 0 Model this put
0	—	—	—	—		—	-0.94	47.6%	—	0
Call · $95 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $95 In the money Snapshot session Unknown Last — Breakeven — Implied vol 47.6% Delta -0.94 ≈94% ITM Gamma 0.022 Theta -0.046 Vega 0.013 Open interest 0 Model this put
0	—	—	—	—		—	-0.954	65.4%	—	0
Call · $100 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $100 In the money Snapshot session Unknown Last — Breakeven — Implied vol 65.4% Delta -0.954 ≈95% ITM Gamma 0.013 Theta -0.051 Vega 0.013 Open interest 0 Model this put
0	—	—	—	—		—	-0.962	82.3%	—	0
Call · $105 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $105 In the money Snapshot session Unknown Last — Breakeven — Implied vol 82.3% Delta -0.962 ≈96% ITM Gamma 0.009 Theta -0.056 Vega 0.013 Open interest 0 Model this put
0	—	—	—	—		—	-0.988	81.9%	—	0
Call · $110 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $110 In the money Snapshot session Unknown Last — Breakeven — Implied vol 81.9% Delta -0.988 ≈99% ITM Gamma 0.004 Theta -0.02 Vega 0.003 Open interest 0 Model this put
0	—	—	—	—		—	-0.97	110.9%	—	0
Call · $115 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $115 In the money Snapshot session Unknown Last — Breakeven — Implied vol 110.9% Delta -0.97 ≈97% ITM Gamma 0.005 Theta -0.061 Vega 0.007 Open interest 0 Model this put
0	—	—	—	—		—	-0.973	123.6%	—	0
Call · $120 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $120 In the money Snapshot session Unknown Last — Breakeven — Implied vol 123.6% Delta -0.973 ≈97% ITM Gamma 0.004 Theta -0.063 Vega 0.007 Open interest 0 Model this put