KARS · KraneShares Trust KraneShares Public-Private AI & Technology ETF

Track KARS — free

$31.10 +0.50 (+1.63%) At close · Aug 27

Options Chain

Underlying $31.10 · at close Aug 27, 2026 Options Calculator

Positioning

Sep 18, 2026 · 21 days to expiry · 50 contracts · mixed snapshot sessions · Jul 16, 2026–Aug 21, 2026; 45 unknown

Put / call OI

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dated and unknown snapshot sessions

Open interest

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dated and unknown snapshot sessions

Volume

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dated and unknown snapshot sessions

Chain

Click any strike for greeks, breakeven and the calculator

Expiry

Sep 18 21d Oct 16 49d Nov 20 84d Feb 19 175d Dec 17 476d

Calls						Puts
OI	Vol	IV	Δ	Last	Strike	Last	Δ	IV	Vol	OI
0	—	—	—	—		—	—	—	—	0
Call · $15 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $15 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $16 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $16 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $17 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $17 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $18 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $18 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $19 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $19 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	—	—	—	0
Call · $20 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $20 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this put
0	—	—	—	—		—	-0.098	147.8%	—	0
Call · $21 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $21 Snapshot session Unknown Last — Breakeven — Implied vol 147.8% Delta -0.098 ≈10% ITM Gamma 0.016 Theta -0.045 Vega 0.016 Open interest 0 Model this put
0	—	—	—	—		—	-0.111	136.9%	—	0
Call · $22 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $22 Snapshot session Unknown Last — Breakeven — Implied vol 136.9% Delta -0.111 ≈11% ITM Gamma 0.019 Theta -0.046 Vega 0.016 Open interest 0 Model this put
0	—	—	—	—		—	-0.08	97.4%	—	0
Call · $23 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $23 Snapshot session Unknown Last — Breakeven — Implied vol 97.4% Delta -0.08 ≈8% ITM Gamma 0.02 Theta -0.025 Vega 0.011 Open interest 0 Model this put
0	—	—	—	—		—	-0.105	95.6%	—	0
Call · $24 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $24 Snapshot session Unknown Last — Breakeven — Implied vol 95.6% Delta -0.105 ≈10% ITM Gamma 0.026 Theta -0.031 Vega 0.012 Open interest 0 Model this put
0	—	—	—	—		—	-0.131	89.9%	—	0
Call · $25 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $25 Snapshot session Unknown Last — Breakeven — Implied vol 89.9% Delta -0.131 ≈13% ITM Gamma 0.032 Theta -0.033 Vega 0.018 Open interest 0 Model this put
0	—	—	—	—		—	-0.123	70%	—	0
Call · $26 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $26 Snapshot session Unknown Last — Breakeven — Implied vol 70% Delta -0.123 ≈12% ITM Gamma 0.039 Theta -0.025 Vega 0.018 Open interest 0 Model this put
0	—	—	—	—		—	-0.169	67.3%	—	0
Call · $27 In the money Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $27 Snapshot session Unknown Last — Breakeven — Implied vol 67.3% Delta -0.169 ≈17% ITM Gamma 0.05 Theta -0.03 Vega 0.018 Open interest 0 Model this put
14	14	—	—	$3.20		—	-0.155	45.9%	—	0
Call · $28 In the money Snapshot session Aug 21, 2026 Last $3.20 Breakeven $31.20 Implied vol — Delta — Gamma — Theta — Vega — Open interest 14 Model this call Put · $28 Snapshot session Unknown Last — Breakeven — Implied vol 45.9% Delta -0.155 ≈16% ITM Gamma 0.069 Theta -0.019 Vega 0.019 Open interest 0 Model this put
0	—	0.2%	1	—		—	-0.346	208.7%	—	0
Call · $29 In the money Snapshot session Unknown Last — Breakeven — Implied vol 0.2% Delta 1 ≈100% ITM Gamma 0 Theta -0.003 Vega 0 Open interest 0 Model this call Put · $29 Snapshot session Unknown Last — Breakeven — Implied vol 208.7% Delta -0.346 ≈35% ITM Gamma 0.024 Theta -0.135 Vega 0.028 Open interest 0 Model this put
2	2	17.8%	0.816	$1.80		—	-0.343	44.9%	—	0
Call · $30 In the money Snapshot session Jul 16, 2026 Last $1.80 Breakeven $31.80 Implied vol 17.8% Delta 0.816 ≈82% ITM Gamma 0.2 Theta -0.011 Vega 0.019 Open interest 2 Model this call Put · $30 Snapshot session Unknown Last — Breakeven — Implied vol 44.9% Delta -0.343 ≈34% ITM Gamma 0.111 Theta -0.029 Vega 0.029 Open interest 0 Model this put
2	2	29.7%	0.543	$1.20		—	-0.461	39.3%	—	0
Call · $31 In the money Snapshot session Jul 16, 2026 Last $1.20 Breakeven $32.20 Implied vol 29.7% Delta 0.543 ≈54% ITM Gamma 0.18 Theta -0.023 Vega 0.03 Open interest 2 Model this call Put · $31 Snapshot session Unknown Last — Breakeven — Implied vol 39.3% Delta -0.461 ≈46% ITM Gamma 0.138 Theta -0.027 Vega 0.03 Open interest 0 Model this put
Underlying $31.10
0	—	35.9%	0.396	—		—	-0.61	35.3%	—	0
Call · $32 Snapshot session Unknown Last — Breakeven — Implied vol 35.9% Delta 0.396 ≈40% ITM Gamma 0.145 Theta -0.026 Vega 0.03 Open interest 0 Model this call Put · $32 In the money Snapshot session Unknown Last — Breakeven — Implied vol 35.3% Delta -0.61 ≈61% ITM Gamma 0.149 Theta -0.023 Vega 0.03 Open interest 0 Model this put
0	—	190.7%	0.544	—		—	-0.73	37%	—	0
Call · $33 Snapshot session Unknown Last — Breakeven — Implied vol 190.7% Delta 0.544 ≈54% ITM Gamma 0.028 Theta -0.135 Vega 0.03 Open interest 0 Model this call Put · $33 In the money Snapshot session Unknown Last — Breakeven — Implied vol 37% Delta -0.73 ≈73% ITM Gamma 0.123 Theta -0.02 Vega 0.027 Open interest 0 Model this put
0	—	38.9%	0.191	—		—	-0.764	47.4%	—	0
Call · $34 Snapshot session Unknown Last — Breakeven — Implied vol 38.9% Delta 0.191 ≈19% ITM Gamma 0.093 Theta -0.019 Vega 0.021 Open interest 0 Model this call Put · $34 In the money Snapshot session Unknown Last — Breakeven — Implied vol 47.4% Delta -0.764 ≈76% ITM Gamma 0.09 Theta -0.024 Vega 0.021 Open interest 0 Model this put
10	10	56.3%	0.217	$2.53		—	-0.809	51.9%	—	0
Call · $35 Snapshot session Jul 22, 2026 Last $2.53 Breakeven $37.53 Implied vol 56.3% Delta 0.217 ≈22% ITM Gamma 0.07 Theta -0.03 Vega 0.021 Open interest 10 Model this call Put · $35 In the money Snapshot session Unknown Last — Breakeven — Implied vol 51.9% Delta -0.809 ≈81% ITM Gamma 0.072 Theta -0.023 Vega 0.021 Open interest 0 Model this put
0	—	57%	0.162	—		—	-0.828	59.6%	—	0
Call · $36 Snapshot session Unknown Last — Breakeven — Implied vol 57% Delta 0.162 ≈16% ITM Gamma 0.058 Theta -0.025 Vega 0.022 Open interest 0 Model this call Put · $36 In the money Snapshot session Unknown Last — Breakeven — Implied vol 59.6% Delta -0.828 ≈83% ITM Gamma 0.059 Theta -0.025 Vega 0.021 Open interest 0 Model this put
0	—	60.8%	0.136	—		—	-0.842	67.1%	—	0
Call · $37 Snapshot session Unknown Last — Breakeven — Implied vol 60.8% Delta 0.136 ≈14% ITM Gamma 0.048 Theta -0.024 Vega 0.015 Open interest 0 Model this call Put · $37 In the money Snapshot session Unknown Last — Breakeven — Implied vol 67.1% Delta -0.842 ≈84% ITM Gamma 0.05 Theta -0.027 Vega 0.021 Open interest 0 Model this put
10	10	—	—	$2.28		—	-0.853	73.9%	—	0
Call · $38 Snapshot session Jul 22, 2026 Last $2.28 Breakeven $40.28 Implied vol — Delta — Gamma — Theta — Vega — Open interest 10 Model this call Put · $38 In the money Snapshot session Unknown Last — Breakeven — Implied vol 73.9% Delta -0.853 ≈85% ITM Gamma 0.043 Theta -0.028 Vega 0.015 Open interest 0 Model this put
0	—	—	—	—		—	-0.873	76.4%	—	0
Call · $39 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $39 In the money Snapshot session Unknown Last — Breakeven — Implied vol 76.4% Delta -0.873 ≈87% ITM Gamma 0.038 Theta -0.026 Vega 0.015 Open interest 0 Model this put

About this data

Each contract's last price, volume, greeks, implied volatility and open interest belongs to the snapshot session shown in its details; unknown means the provider omitted the timestamp. This chain has mixed snapshot sessions · Jul 16, 2026–Aug 21, 2026; 45 unknown. Cross-contract positioning totals are shown only when every returned row has the same known session. Bid and ask are not included on this plan.

In-the-money strikes are tinted, deepening toward the money, and the bar beside each open-interest figure scales to the heaviest strike shown.

Key facts CIK 1536592 CUSIP 500767363 13F (30d) 54 filings 54 filers Visit website