BTCI · Kurv Yield Premium Strategy Apple (AAPL) ETF

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$32.26 -0.56 (-1.71%) At close · Aug 28

Rebalance outlook locked

Options Chain

Underlying $32.26 · at close Aug 28, 2026 Options Calculator

Positioning

Sep 18, 2026 · 18 days to expiry · 68 contracts · mixed snapshot sessions · Mar 17, 2026–Aug 28, 2026; 11 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 18d Oct 16 46d Dec 18 109d Mar 19 200d

Calls						Puts
OI	Vol	IV	Δ	Last	Strike	Last	Δ	IV	Vol	OI
0	1	122%	0.895	$5.88		$0.05	-0.064	89.5%	5	41
Call · $24 In the money Snapshot session Jul 21, 2026 Last $5.88 Breakeven $29.88 Implied vol 122% Delta 0.895 ≈89% ITM Gamma 0.026 Theta -0.03 Vega 0.014 Open interest 0 Model this call Put · $24 Snapshot session Aug 26, 2026 Last $0.05 Breakeven $23.95 Implied vol 89.5% Delta -0.064 ≈6% ITM Gamma 0.019 Theta -0.024 Vega 0.012 Open interest 41 Model this put
20	1	84.9%	0.951	$7.80		$0.07	-0.046	66.5%	2	55
Call · $25 In the money Snapshot session Aug 24, 2026 Last $7.80 Breakeven $32.80 Implied vol 84.9% Delta 0.951 ≈95% ITM Gamma 0.032 Theta -0.008 Vega 0.006 Open interest 20 Model this call Put · $25 Snapshot session Aug 28, 2026 Last $0.07 Breakeven $24.93 Implied vol 66.5% Delta -0.046 ≈5% ITM Gamma 0.02 Theta -0.014 Vega 0.008 Open interest 55 Model this put
0	1	74.7%	0.945	$2.49		$0.05	-0.052	57.5%	1	62
Call · $26 In the money Snapshot session Jun 25, 2026 Last $2.49 Breakeven $28.49 Implied vol 74.7% Delta 0.945 ≈94% ITM Gamma 0.04 Theta -0.007 Vega 0.006 Open interest 0 Model this call Put · $26 Snapshot session Aug 28, 2026 Last $0.05 Breakeven $25.95 Implied vol 57.5% Delta -0.052 ≈5% ITM Gamma 0.025 Theta -0.013 Vega 0.008 Open interest 62 Model this put
2	1	64.8%	0.936	$4.05		$0.05	-0.07	51.8%	50	112
Call · $27 In the money Snapshot session Aug 20, 2026 Last $4.05 Breakeven $31.05 Implied vol 64.8% Delta 0.936 ≈94% ITM Gamma 0.053 Theta -0.007 Vega 0.007 Open interest 2 Model this call Put · $27 Snapshot session Aug 28, 2026 Last $0.05 Breakeven $26.95 Implied vol 51.8% Delta -0.07 ≈7% ITM Gamma 0.036 Theta -0.015 Vega 0.008 Open interest 112 Model this put
12	1	—	—	$1.05		$0.10	-0.092	44.7%	7	214
Call · $28 In the money Snapshot session Aug 18, 2026 Last $1.05 Breakeven $29.05 Implied vol — Delta — Gamma — Theta — Vega — Open interest 12 Model this call Put · $28 Snapshot session Aug 28, 2026 Last $0.10 Breakeven $27.90 Implied vol 44.7% Delta -0.092 ≈9% ITM Gamma 0.051 Theta -0.017 Vega 0.015 Open interest 214 Model this put
103	1	48.9%	0.876	$3.37		$0.14	-0.133	38.4%	5	86
Call · $29 In the money Snapshot session Aug 28, 2026 Last $3.37 Breakeven $32.37 Implied vol 48.9% Delta 0.876 ≈88% ITM Gamma 0.098 Theta -0.01 Vega 0.014 Open interest 103 Model this call Put · $29 Snapshot session Aug 28, 2026 Last $0.14 Breakeven $28.86 Implied vol 38.4% Delta -0.133 ≈13% ITM Gamma 0.077 Theta -0.02 Vega 0.015 Open interest 86 Model this put
132	13	41.2%	0.815	$2.35		$0.20	-0.221	35.5%	5	262
Call · $30 In the money Snapshot session Aug 28, 2026 Last $2.35 Breakeven $32.35 Implied vol 41.2% Delta 0.815 ≈81% ITM Gamma 0.136 Theta -0.011 Vega 0.017 Open interest 132 Model this call Put · $30 Snapshot session Aug 28, 2026 Last $0.20 Breakeven $29.80 Implied vol 35.5% Delta -0.221 ≈22% ITM Gamma 0.114 Theta -0.026 Vega 0.022 Open interest 262 Model this put
124	5	45.8%	0.649	$2.40		$0.55	-0.342	31%	4	72
Call · $31 In the money Snapshot session Aug 27, 2026 Last $2.40 Breakeven $33.40 Implied vol 45.8% Delta 0.649 ≈65% ITM Gamma 0.131 Theta -0.022 Vega 0.025 Open interest 124 Model this call Put · $31 Snapshot session Aug 28, 2026 Last $0.55 Breakeven $30.45 Implied vol 31% Delta -0.342 ≈34% ITM Gamma 0.162 Theta -0.031 Vega 0.027 Open interest 72 Model this put
898	8	34.7%	0.513	$1.20		$0.95	-0.514	32.2%	23	174
Call · $32 In the money Snapshot session Aug 28, 2026 Last $1.20 Breakeven $33.20 Implied vol 34.7% Delta 0.513 ≈51% ITM Gamma 0.18 Theta -0.017 Vega 0.028 Open interest 898 Model this call Put · $32 Snapshot session Aug 28, 2026 Last $0.95 Breakeven $31.05 Implied vol 32.2% Delta -0.514 ≈51% ITM Gamma 0.168 Theta -0.038 Vega 0.029 Open interest 174 Model this put
Underlying $32.26
63	1	31.1%	0.326	$2.27		$1.70	-0.675	32.1%	18	92
Call · $33 Snapshot session Aug 28, 2026 Last $2.27 Breakeven $35.27 Implied vol 31.1% Delta 0.326 ≈33% ITM Gamma 0.173 Theta -0.015 Vega 0.027 Open interest 63 Model this call Put · $33 In the money Snapshot session Aug 28, 2026 Last $1.70 Breakeven $31.30 Implied vol 32.1% Delta -0.675 ≈67% ITM Gamma 0.151 Theta -0.04 Vega 0.027 Open interest 92 Model this put
358	5	32.8%	0.198	$0.20		$2.00	-0.751	39%	1	29
Call · $34 Snapshot session Aug 28, 2026 Last $0.20 Breakeven $34.20 Implied vol 32.8% Delta 0.198 ≈20% ITM Gamma 0.122 Theta -0.014 Vega 0.022 Open interest 358 Model this call Put · $34 In the money Snapshot session Aug 27, 2026 Last $2.00 Breakeven $32.00 Implied vol 39% Delta -0.751 ≈75% ITM Gamma 0.107 Theta -0.043 Vega 0.023 Open interest 29 Model this put
249	37	36.6%	0.134	$0.15		$3.14	-0.784	48.8%	1	282
Call · $35 Snapshot session Aug 28, 2026 Last $0.15 Breakeven $35.15 Implied vol 36.6% Delta 0.134 ≈13% ITM Gamma 0.083 Theta -0.012 Vega 0.017 Open interest 249 Model this call Put · $35 In the money Snapshot session Aug 28, 2026 Last $3.14 Breakeven $31.86 Implied vol 48.8% Delta -0.784 ≈78% ITM Gamma 0.08 Theta -0.047 Vega 0.018 Open interest 282 Model this put
172	1	45.9%	0.126	$0.10		$4.10	-0.984	1.2%	1	17
Call · $36 Snapshot session Aug 28, 2026 Last $0.10 Breakeven $36.10 Implied vol 45.9% Delta 0.126 ≈13% ITM Gamma 0.063 Theta -0.016 Vega 0.017 Open interest 172 Model this call Put · $36 In the money Snapshot session Aug 27, 2026 Last $4.10 Breakeven $31.90 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 17 Model this put
197	1	50.9%	0.103	$0.10		$5.22	-0.984	1.2%	21	41
Call · $37 Snapshot session Aug 27, 2026 Last $0.10 Breakeven $37.10 Implied vol 50.9% Delta 0.103 ≈10% ITM Gamma 0.049 Theta -0.015 Vega 0.012 Open interest 197 Model this call Put · $37 In the money Snapshot session Aug 24, 2026 Last $5.22 Breakeven $31.78 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 41 Model this put
113	1	160.1%	0.375	$0.09		$6.79	-0.984	1.2%	5	20
Call · $38 Snapshot session Aug 28, 2026 Last $0.09 Breakeven $38.09 Implied vol 160.1% Delta 0.375 ≈38% ITM Gamma 0.033 Theta -0.11 Vega 0.026 Open interest 113 Model this call Put · $38 In the money Snapshot session Aug 24, 2026 Last $6.79 Breakeven $31.21 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 20 Model this put
106	1	58.8%	0.069	$0.08		$6.98	-0.797	91.8%	5	51
Call · $39 Snapshot session Jul 28, 2026 Last $0.08 Breakeven $39.08 Implied vol 58.8% Delta 0.069 ≈7% ITM Gamma 0.031 Theta -0.014 Vega 0.012 Open interest 106 Model this call Put · $39 In the money Snapshot session Aug 28, 2026 Last $6.98 Breakeven $32.02 Implied vol 91.8% Delta -0.797 ≈80% ITM Gamma 0.04 Theta -0.068 Vega 0.02 Open interest 51 Model this put
104	1	66.9%	0.072	$0.05		$8.20	-0.984	1.2%	1	17
Call · $40 Snapshot session Aug 20, 2026 Last $0.05 Breakeven $40.05 Implied vol 66.9% Delta 0.072 ≈7% ITM Gamma 0.029 Theta -0.016 Vega 0.012 Open interest 104 Model this call Put · $40 In the money Snapshot session Aug 24, 2026 Last $8.20 Breakeven $31.80 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 17 Model this put
15	7	69.7%	0.06	$0.05		$11.00	-0.984	1.2%	1	9
Call · $41 Snapshot session Jul 30, 2026 Last $0.05 Breakeven $41.05 Implied vol 69.7% Delta 0.06 ≈6% ITM Gamma 0.024 Theta -0.015 Vega 0.007 Open interest 15 Model this call Put · $41 In the money Snapshot session Aug 20, 2026 Last $11.00 Breakeven $30.00 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 9 Model this put
0	—	142.9%	0.24	—		$14.51	-0.829	110.1%	1	12
Call · $42 Snapshot session Unknown Last — Breakeven — Implied vol 142.9% Delta 0.24 ≈24% ITM Gamma 0.03 Theta -0.081 Vega 0.021 Open interest 0 Model this call Put · $42 In the money Snapshot session Aug 18, 2026 Last $14.51 Breakeven $27.49 Implied vol 110.1% Delta -0.829 ≈83% ITM Gamma 0.03 Theta -0.072 Vega 0.02 Open interest 12 Model this put
0	1	—	—	$0.05		$15.45	-0.899	91.4%	1	9
Call · $43 Snapshot session Aug 17, 2026 Last $0.05 Breakeven $43.05 Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $43 In the money Snapshot session Aug 7, 2026 Last $15.45 Breakeven $27.55 Implied vol 91.4% Delta -0.899 ≈90% ITM Gamma 0.023 Theta -0.05 Vega 0.013 Open interest 9 Model this put
0	—	102.7%	0.099	—		$15.40	-0.984	1.2%	9	16
Call · $44 Snapshot session Unknown Last — Breakeven — Implied vol 102.7% Delta 0.099 ≈10% ITM Gamma 0.023 Theta -0.032 Vega 0.014 Open interest 0 Model this call Put · $44 In the money Snapshot session Jun 16, 2026 Last $15.40 Breakeven $28.60 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 16 Model this put
74	1	97.7%	0.069	$0.05		$13.02	-0.984	1.2%	1	27
Call · $45 Snapshot session Aug 25, 2026 Last $0.05 Breakeven $45.05 Implied vol 97.7% Delta 0.069 ≈7% ITM Gamma 0.019 Theta -0.024 Vega 0.008 Open interest 74 Model this call Put · $45 In the money Snapshot session Aug 25, 2026 Last $13.02 Breakeven $31.98 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.025 Vega 0 Open interest 27 Model this put
82	2	85.9%	0.032	$0.06		$14.39	-0.961	79.2%	1	3
Call · $46 Snapshot session Aug 25, 2026 Last $0.06 Breakeven $46.06 Implied vol 85.9% Delta 0.032 ≈3% ITM Gamma 0.012 Theta -0.011 Vega 0.008 Open interest 82 Model this call Put · $46 In the money Snapshot session Aug 21, 2026 Last $14.39 Breakeven $31.61 Implied vol 79.2% Delta -0.961 ≈96% ITM Gamma 0.009 Theta -0.032 Vega 0.004 Open interest 3 Model this put
0	—	—	—	—		$17.42	-0.984	1.2%	3	3
Call · $47 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $47 In the money Snapshot session Mar 17, 2026 Last $17.42 Breakeven $29.58 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 3 Model this put
22	1	93.4%	0.03	$0.04		$17.62	-0.984	1.2%	1	24
Call · $48 Snapshot session Jul 23, 2026 Last $0.04 Breakeven $48.04 Implied vol 93.4% Delta 0.03 ≈3% ITM Gamma 0.01 Theta -0.012 Vega 0.004 Open interest 22 Model this call Put · $48 In the money Snapshot session Apr 16, 2026 Last $17.62 Breakeven $30.38 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 24 Model this put
0	—	—	—	—		$20.88	-0.984	1.2%	5	18
Call · $49 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $49 In the money Snapshot session Jul 22, 2026 Last $20.88 Breakeven $28.12 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 18 Model this put
1	1	—	—	$0.15		$17.98	-0.984	1.2%	10	16
Call · $50 Snapshot session Apr 27, 2026 Last $0.15 Breakeven $50.15 Implied vol — Delta — Gamma — Theta — Vega — Open interest 1 Model this call Put · $50 In the money Snapshot session Aug 28, 2026 Last $17.98 Breakeven $32.02 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 16 Model this put
0	—	—	—	—		$20.00	-0.984	1.2%	1	1
Call · $51 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $51 In the money Snapshot session Apr 21, 2026 Last $20.00 Breakeven $31.00 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 1 Model this put
0	—	—	—	—		$20.15	-0.984	1.2%	1	2
Call · $52 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $52 In the money Snapshot session Aug 21, 2026 Last $20.15 Breakeven $31.85 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 2 Model this put
0	—	—	—	—		—	-0.961	107.1%	—	0
Call · $53 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $53 In the money Snapshot session Unknown Last — Breakeven — Implied vol 107.1% Delta -0.961 ≈96% ITM Gamma 0.007 Theta -0.034 Vega 0.004 Open interest 0 Model this put
15	4	—	—	$0.24		—	-0.961	110.8%	—	0
Call · $54 Snapshot session May 5, 2026 Last $0.24 Breakeven $54.24 Implied vol — Delta — Gamma — Theta — Vega — Open interest 15 Model this call Put · $54 In the money Snapshot session Unknown Last — Breakeven — Implied vol 110.8% Delta -0.961 ≈96% ITM Gamma 0.006 Theta -0.034 Vega 0.004 Open interest 0 Model this put
194	1	134.3%	0.047	$0.05		$21.78	-0.984	1.2%	5	20
Call · $55 Snapshot session Aug 4, 2026 Last $0.05 Breakeven $55.05 Implied vol 134.3% Delta 0.047 ≈5% ITM Gamma 0.01 Theta -0.024 Vega 0.009 Open interest 194 Model this call Put · $55 In the money Snapshot session May 20, 2026 Last $21.78 Breakeven $33.22 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.024 Vega 0 Open interest 20 Model this put
24	1	146.3%	0.06	$0.05		—	-0.984	1.2%	—	0
Call · $56 Snapshot session May 14, 2026 Last $0.05 Breakeven $56.05 Implied vol 146.3% Delta 0.06 ≈6% ITM Gamma 0.011 Theta -0.032 Vega 0.009 Open interest 24 Model this call Put · $56 In the money Snapshot session Unknown Last — Breakeven — Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.023 Vega 0 Open interest 0 Model this put
0	—	—	—	—		$29.35	-0.984	1.2%	1	1
Call · $57 Snapshot session Unknown Last — Breakeven — Implied vol — Delta — Gamma — Theta — Vega — Open interest 0 Model this call Put · $57 In the money Snapshot session Jun 4, 2026 Last $29.35 Breakeven $27.65 Implied vol 1.2% Delta -0.984 ≈98% ITM Gamma 0 Theta -0.023 Vega 0 Open interest 1 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 · Mar 17, 2026–Aug 28, 2026; 11 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. The 21 strikes around the money are shown by default — switch to "All 34" for the wings.

Key facts CIK 1848758 CUSIP 500948500 13F (30d) 1 filings 1 filers