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Options library / Level 1 Foundation / Strategy 1

Long call for UK investors: the first structure, priced in pounds

The curriculum starts here because the long call's worst case is one number that can be written down before the order is placed. This page prices one on a UK underlying, at the contract size a UK buyer would actually deal in.

Level 1 · FoundationNo prerequisites; fully paid, no margin
£493.90Most it can lose in the worked example
£493.90Capital: the premium and commission, paid in full
549.25pBreakeven on 18 December (model probability above it 37.9%)
Options hub UK basics Long call Greeks Assignment and expiry UK tax worked examples Position sizing Planner
On this page (12 sections)
  1. Which strike: four BP December calls on one chain
  2. Which expiry: the 500 strike to October, November, December or March
  3. The worked example: one December 500 call bought on Monday 17 August 2026
  4. The payoff on 17 August, on 16 October and at expiry
  5. BP's 30 October results and 12 November ex-date, inside the call's life
  6. Five endings, and what the worked plan's conventions did first
  7. The call's Greeks from entry to the last three weeks
  8. £493.90 or £5,326.50: the call against 1,000 BP shares
  9. UK tax: a sale, a lapse and an exercise in 2026/27
  10. The same trade on a US chain, counted in pounds
  11. What the worked plan checked before buying, and why
  12. Other ways to take the same view, priced on the same chain
01

Long Call

Buy the right to buy: the premium paid on day one is the whole of the risk
L1 FoundationBullishDefined risk£144–£791 per ICE contract on this page's chain

A long call is one purchased option: the right, not the duty, to buy the shares at the strike price until expiry. The buyer pays the premium once and can lose no more than that premium and the commission. In exchange the buyer gives up the dividends a shareholder would receive, and pays for time value that runs off whether or not the share rises. Above the strike plus the premium the gain has no cap. It is built for a rise expected within a known period, using a small, fixed sum instead of the full price of the shares. On this page one BP December call costs £493.90; the 1,000 shares it gives rights over would cost £5,326.50.

The page assumes the reader has met the option chain and the split of a premium into intrinsic and time value on the basics page. BP is used as a model underlying; this is not a view on BP.

Which strike: four BP December calls on one chain

Model inputs (every BP figure on this page unless a line says otherwise): BP 530p on Monday 17 August 2026, a model level (BP closed at 519.6p that day; price data: Yahoo Finance, checked 26 September 2026); expiry Friday 18 December 2026, 123 days; implied volatility 26% at every strike; rate 3.75% (Bank Rate); one dividend of 6.39p going ex on Thursday 12 November, day 87 (BP's calendar date; the amount assumes the second-quarter 8.66 US cents at $1.356 per £1); American calls priced on a 200/201-step binomial tree; ICE standard contract of 1,000 shares; commission £1.40 a contract each way (IBKR UK tiered; £1.70 on the fixed plan); fills at the model value rounded to the 0.25p tick, before any bid-ask cost. Modelled example: inputs and method.

The first decision on a long call is not whether BP rises but how far in or out of the money to buy. The table prices four December strikes on the same chain. The pound results at the right assume the call is sold at its intrinsic value on expiry day, with commission both ways; a call that expires worthless pays only the opening commission.

BP December 2026 calls on 17 August: what each strike costs and returns (per 1,000-share contract)
StrikeFill, and cost with commissionIntrinsic / time valueDelta (shares)Breakeven before costsModel probability BP ends above breakevenResult if BP is 580p on 18 DecResult if BP is 620p on 18 Dec
460 call79.00p (model 79.00p)
£791.40
70p / 9.00p871539.00p42.7%£407.20 (51%)£807.20 (102%)
500 call (worked example)49.25p (model 49.35p)
£493.90
30p / 19.25p702549.25p37.9%£304.70 (62%)£704.70 (143%)
540 call27.75p (model 27.87p)
£278.90
0p / 27.75p496567.75p29.9%£119.70 (43%)£519.70 (186%)
580 call14.25p (model 14.29p)
£143.90
0p / 14.25p309594.25p20.3%−£143.90 (−100%)£254.70 (177%)

Probabilities are model probabilities (risk-neutral, lognormal, IV 26%, dividend deducted from the share price), not forecasts. The model probability that each call finishes in the money at all is 80.7%, 62.3%, 42.3% and 25.2% from the lowest strike to the highest.

Three strikes, one chain: profit or loss on 18 December before commission
−£500£0£500£1,000450p500p550p600p650pBP share price on 18 December 2026 (p)17 Aug: 530p460 call, 79.00p500 call, 49.25p (worked example)580 call, 14.25p

Three things come out of the menu, and each has a price.

  • Pounds and percentages rank the strikes differently. Above 500p the 460 call is always £102.50 ahead of the 500 call in pounds, and above 580p the 500 call is always £450.00 ahead of the 580. In percentage terms the order depends on the size of the move: at 580p the 500 call returns 62% and the 580 call loses everything, while at 620p the 540 call returns 186% against 143% for the 500.
  • The time value is largest near the money, not at the cheapest strike. The 540 call is all time value, 27.75p of it, more pence of time value than any other strike here. The 460 call carries only 9.00p, so most of its £791.40 is intrinsic value that moves almost penny for penny with BP (delta 871 shares).
  • A cheap call is cheap because it rarely pays. The 580 call costs £143.90 and needs BP at 594.25p before it breaks even; the model gives that a 20.3% probability. The 500 call needs a 3.6% rise, to 549.25p, and the model puts that at 37.9%.

The worked example uses the 500 call: 30p in the money, a delta of 702 shares, and 39% of the premium in time value. It keeps a meaningful share of BP's move while holding the maximum loss to £493.90.

Which expiry: the 500 strike to October, November, December or March

ICE lists UK stock options on monthly expiries, the third Friday of the month; there are no weekly ICE UK stock options, although US chains have them. The same 500 strike therefore comes in a handful of dates. A longer option costs more in total and less per day, and it carries more of BP's calendar with it.

BP 500 calls on 17 August by expiry (per 1,000-share contract)
ExpiryDaysBP events inside the option's lifeFill, and cost with commissionTime value bought (£)Time value per day (£)Theta at entry (£ a day)Delta (shares)Breakeven before costs
Fri 16 Oct 202660none42.00p (model 42.03p)
£421.40
£120.00£2.00−£1.85747542.00p
Fri 20 Nov 202695results 30 Oct; ex-dividend 12 Nov46.75p (model 46.85p)
£468.90
£167.50£1.76−£2.00722546.75p
Fri 18 Dec 2026 (worked example)123results 30 Oct; ex-dividend 12 Nov49.25p (model 49.35p)
£493.90
£192.50£1.57−£1.67702549.25p
Fri 19 Mar 2027214results 30 Oct; ex-dividend 12 Nov; an assumed ex-date on 18 Feb 202757.50p (model 57.52p)
£576.40
£275.00£1.29−£1.16669557.50p

The October call is the only one with nothing on BP's calendar inside it, and it is £72.50 cheaper than December. It also has 63 fewer days in which BP has to rise, and its time value costs more per day: £2.00 against £1.57. The same call is priced on the tax page's Example 6 at the same 42.00p, where it is held to expiry. The March call has the lowest daily cost, £1.29, but two ex-dividend dates to pass. The worked example takes December: four months for a rise to show, with its two events priced in the section on results and the ex-date below.

The worked example: one December 500 call bought on Monday 17 August 2026

Worked example: ICE Futures Europe BP option, 1,000 shares a contract, American, physically delivered
Construction
LegActionStrike ruleExpiry ruleDelta at entryFill
BP December 2026 500 callBuy 1 contract (rights over 1,000 shares)30p in the money, one strike below the 530p share price on this chainThird Friday of December, 123 days; ICE UK stock options are monthly (weeklies exist on US chains only)+702 share-equivalents; £7.02 per 1p49.25p (model 49.35p)
Premium: 49.25p × 1,000 shares£492.50
Commission to open (IBKR UK tiered: £1.00 + £0.37 exchange + £0.03 clearing)£1.40
Intrinsic value bought: 530p − 500p30.00p = £300.00
Time value bought: 49.25p − 30p (39% of the premium)19.25p = £192.50
Breakeven at expiry: 500p + 49.25p (549.89p after the opening half-spread and commission)549.25p, BP up 3.6%
Maximum loss: premium plus opening commission£493.90
Cash paid
£493.90
Maximum loss
£493.90
Maximum profit
No cap
Breakeven
549.25p

The fill is the model value, 49.35p, rounded to the nearest 0.25p tick, so the call is bought £1.04 a contract below its model value. A real order would also pay part of the quoted spread. The costs are set out in pounds here, following the library's cost conventions:

What the December 500 call costs to trade, beyond the premium (per contract)
CostTo openTo closeRound tripShare of the £492.50 premiumBreakeven after all costs
Commission, IBKR UK tiered£1.40£1.40£2.800.6%549.53p
Commission, IBKR UK fixed£1.70£1.70£3.400.7%549.59p
Quote 1p wide: half the spread each way£5.00£5.00£10.002.0%550.53p
Quote 2p wide£10.00£10.00£20.004.1%551.53p
Quote 4p wide£20.00£20.00£40.008.1%553.53p
SDRTNone in normal ICE dealingNone on a sale£25.00 only if the call is exercised––

The spread rows add half the quoted width to each trade, the library's convention; the widths are illustrations, not ICE quotes, and the breakevens in those rows include the tiered commission. SDRT of 0.5% falls on the strike consideration only when an exercise delivers UK shares, and the buyer of the shares pays it (HMRC STSM113030); rights under an option over UK shares are within SDRT in principle (STSM113020), but we could not confirm any charge on ordinary ICE option trades (checked 26 September 2026). The assignment page sets out who pays on each side.

Contract and access. BP options trade on ICE Futures Europe as standard contracts of 1,000 shares, quoted in pence with a 0.25p tick (£2.50 a contract), American exercise by 18:30 on any business day and delivery two business days after exercise. BP is not one of the 22 UK names with a 100-share mini option (contract sizes). IBKR UK and Saxo UK both publish ICE option commissions (broker comparison). At IBKR a long call sits in Options Level 2, and a cash account can hold it because the premium is paid in full (accounts and permissions); brokers apply the FCA's appropriateness test before granting it.

Open this worked example in the strategy builder (the builder solves the volatility from the 49.25p fill and prices on its own closed-form model, so its curves differ slightly from the tree values here).

The payoff on 17 August, on 16 October and at expiry

BP December 500 call: profit or loss per contract before commission
−£500£0£500£1,000450p500p550p600p650pBP share price (p)Strike 500pBreakeven 549.25pAt expiry, Fri 18 DecFri 16 Oct, 63 days leftMon 17 Aug, 123 days leftModel ±1 SD range for 18 Dec

The solid line is the familiar hockey stick: a flat loss of £492.50 up to the strike, then £10 a contract for every penny above it. The two curves show what the call would be worth before expiry at the same share prices, with volatility unchanged. The vertical gap between a curve and the solid line is the time value still in the option on that date. On 16 October, with BP unchanged at 530p, the model values the call at 38.98p, £104.10 less than the £493.90 paid, even though BP has not moved; that is the running cost of holding the right.

At expiry on Friday 18 December 2026: the call against 1,000 shares bought on 17 August
BP on 18 DecCall worth (a share)Call result, commission inReturn on the £493.90 paid1,000 shares bought at 530p instead
420pnothing: lapses−£493.90−100%−£1,062.60
460pnothing: lapses−£493.90−100%−£662.60
500p (strike)nothing: lapses−£493.90−100%−£262.60
530p (unchanged)30p−£195.30−40%£37.40
549.25p (breakeven)49.25p−£2.80−1%£229.90
580p80p£304.7062%£537.40
610p110p£604.70122%£837.40
650p150p£1,004.70203%£1,237.40

The share column includes the £26.50 of SDRT on the purchase and the £63.90 dividend (6.39p ex 12 November, paid 18 December), before dealing commission. A call worth something on expiry day is assumed sold at intrinsic value; one worth nothing lapses and pays only the opening commission.

BP's 30 October results and 12 November ex-date, inside the call's life

Every December BP option bought in August carries two dated events: third-quarter results on Friday 30 October and the ex-dividend date on Thursday 12 November (bp financial calendar 2026). Each is a number in the call's price, and each can be priced.

The dividend makes the call cheaper, and gives it an early-exercise right. A call holder receives no dividend, and BP's shares open about one dividend lower on the ex-date, so the December 500 call is worth 49.35p with the 6.39p dividend in the model and 52.26p without it: £29.05 a contract less, close to half the £63.90 the shareholder is paid, because the call's delta is below one. Of the 49.35p, 1.49p is the value of being able to exercise before the ex-date; a European call on the same terms is worth 47.87p (American against European value).

The results date can add a premium, and take it away again. If the market priced a 5.55% results-day move into BP options, the illustration used on the implied volatility page, the December volatility would rise from 26% to 27.56%: the square root of the whole of [0.26² × (123/365 − 1/252) + 0.0555²] ÷ (123/365). The call would then cost 50.98p, £16.25 more. Once the results are out, that premium tends to leave the price. The table prices the call on Monday 2 November, the first trading day after the results, with 46 days left, at the model's 26% and at 20%:

The December 500 call on Monday 2 November: implied volatility 26% against 20%
BP on 2 NovValue at 26%Value at 20%Change per contractResult at 20% against the £493.90 paid
530p35.15p32.28p−£28.75−£171.10
560p61.18p60.56p−£6.14£111.74
590p90.54p90.51p−£0.37£411.17

A fall in volatility costs most when the call is near the money. With BP unchanged the six-point fall changes the call's value by −£28.75 a contract; at 590p, where the call is almost all intrinsic value, by only −£0.37. The results page works through the event premium from both the buyer's and the writer's side.

The evening before the ex-date: exercise or hold? A holder who exercises by 18:30 on Wednesday 11 November buys the shares at 500p in time to receive the dividend; one who does not keeps a call on a share that opens about 6.39p lower. The table compares the two for the December call, with 37 days to run, at several share prices:

BP December 500 call on Wednesday 11 November: value held through the ex-date against exercising that evening
BP on 11 NovHeld through the ex-dateExercised tonight (intrinsic)Gain from exercising, per contractGain after £25.00 SDRT
540p40.35p40.00p−£3.54−£28.54
550p48.73p50.00p£12.73−£12.27
560p57.59p60.00p£24.13−£0.87
575p71.53p75.00p£34.67£9.67
590p85.98p90.00p£40.17£15.17
620p115.59p120.00p£44.06£19.06

For a holder with the options-intermediary SDRT relief, exercising is worth it from about 542p; for a retail holder, who also pays 0.5% of the £5,000 strike, only from about 561p. Exercising also means finding £5,026.40 that evening and giving up the call's floor. The assignment page works the same test for November calls with nine days left and shows the writer's side.

Five endings, and what the worked plan's conventions did first

The worked plan sets three conventions on the day it buys: a resting order to sell at 74.00p, the first tick at or above a 50% gain on the 49.25p premium (73.875p); a stop that sells if the call falls to half its premium, 24.625p; and a time stop that closes the call on Friday 27 November, with 21 days left. Where they come from, and what the evidence says about them, is on the methods page under teaching conventions. Branches A, C, D and E follow a straight-line path in BP's price with volatility unchanged, an assumption made to date the conventions, not a forecast.

Five paths for the December 500 call (per contract, commission in)
BranchWhat BP doesWhat the convention didResultHolding on instead
A: a riseClimbs to 590p by Friday 16 OctoberThe 74.00p sell order fills on Friday 25 September 2026, with BP near 569p+£244.70, 49.5% on the cash paidHeld to 16 October the call is worth 91.93p and sells at 92.00p: +£424.70 (86.0%). The order gave up £180.00 on this path.
B: right, slowly540p on Friday 27 NovemberThe time stop sells at 42.75p (model 42.65p)−£67.80If BP is still 540p on 18 December the call ends at 40p: −£95.30. At 580p it ends at 80p: +£304.70. At 500p or below it lapses: −£493.90.
C: a slideDrifts to 500p by 16 OctoberThe stop fires on Wednesday 7 October 2026 with BP near 505p, selling at 24.25p (model 24.30p)−£252.80Held to 18 December at 500p the call lapses: −£493.90. If BP recovered to 560p it would end at 60p: +£104.70.
D: a fallSlides to 480p by Friday 18 DecemberThe stop fires on Tuesday 13 October 2026 with BP near 507p, selling at 24.50p (model 24.40p)−£250.30Held to 18 December the call lapses at 480p: −£493.90, the maximum loss, an allowable loss for 2026/27.
E: a big riseClimbs to 610p by Friday 18 DecemberThe 74.00p sell order fills on Wednesday 21 October 2026, with BP near 572p+£244.70Held to 18 December: sold at 110p, +£604.70, £360.00 more than the order took; or exercised, paying £5,026.40 for 1,000 shares worth £6,100.00, which leaves shares costing £5,520.30 (552.03p each) and a paper gain of £579.70, £25.00 less than selling: the SDRT.

Each convention swaps one outcome for another, and the table puts pounds on the swap. The sell order in Branch A banked £244.70 and gave up the last £180.00 of the rise to 590p; had BP turned back after 25 September, the same order would have been the only profit taken. The stop in Branch C held the loss to £252.80 rather than £493.90, and cost £357.50 of recovery if BP came back to 560p. The time stop in Branch B saved £27.50 if BP stayed at 540p and gave up £372.50 if it reached 580p.

A holder who had set none of the conventions and was still in the call on the evening of 11 November, with BP above about 561p, would have faced the ex-date choice in the table above. At expiry an in-the-money call is normally exercised automatically: ICE Clear Europe's procedures give one tick in the money as the setting for several contracts but do not state it for UK equity options, so the broker's own rule applies, and a broker may close or lapse the call first if the account cannot pay for 1,000 shares (expiry and automatic exercise). Selling the December call and buying a later one is a roll: two trades and, for tax, a sale followed by a new purchase (roll mechanics).

The call's Greeks from entry to the last three weeks

Greeks of one BP December 500 call (per 1,000-share contract; IV 26% in every column)
MeasureMon 17 Aug, 530p, 123 days (entry)Fri 16 Oct, 530p, 63 daysFri 27 Nov, 530p, 21 days (after the ex-date)Instant +1 SD at entry: 616.3pInstant −1 SD at entry: 455.8p
Model value (p a share)49.35p38.98p33.91p122.70p11.78p
Mark-to-model against the £493.90 paid−£0.36−£104.10−£154.79£733.07−£376.09
Delta (share-equivalents)702740841947301
Delta (£ per 1p on BP)£7.02£7.40£8.41£9.47£3.01
Gamma (change in delta per 10p)46.367.373.212.853.6
Theta (£ per calendar day)−£1.67−£2.08−£2.33−£1.12−£1.17
Vega (£ per volatility point)£10.33£6.77£3.08£3.71£9.04
Rho (£ per percentage point of rate)£8.71£4.13£2.37£11.34£3.79

Greeks come from the same binomial tree as the values, by small changes to each input. One standard deviation is the lognormal range 530p × e±0.26√(123/365). The mark-to-model row is before the closing commission.

Delta starts at 702 share-equivalents, so a 1p move in BP changes the position by about £7.02. Theta is the cost of the clock: £1.67 a day at entry, £2.33 a day with three weeks left and BP unchanged, when the call has become a narrower bet on where BP closes on one Friday. Vega falls from £10.33 to £3.08 a point over the same period, which is why the results-date volatility matters in August and hardly at all by late November.

Rho, at £8.71 per percentage point, is almost as large as vega per volatility point. It is small in practice only because Bank Rate moves in quarter points: a 0.25-point cut at the Monetary Policy Committee's 5 November decision would take about £2.18 off the call. Position Greeks and their units are explained on the Greeks page.

£493.90 or £5,326.50: the call against 1,000 BP shares

A long call is often described as a substitute for owning the shares. The comparison only means something once the cash the call does not use, and the dividend it does not receive, are put in with their tax. The table assumes the unused cash earns Bank Rate for the 123 days, as simple interest, as a stand-in for a savings rate.

One December 500 call against 1,000 BP shares, 17 August to 18 December 2026
Item1,000 BP sharesOne December 500 call
Money committed on 17 August£5,326.50, including £26.50 of SDRT at 0.5% (before dealing commission)£493.90
Cash left on deposit–£4,832.60
Interest at 3.75% for 123 days–£61.07 before tax; no tax if it fits inside an unused Personal Savings Allowance (£1,000 basic rate, £500 higher rate); £48.86 after 20% or £36.64 after 40% if the allowance is already used
Dividend of 6.39p (ex 12 Nov, paid 18 Dec)£63.90; no tax inside the £500 dividend allowance, otherwise £57.03 after 10.75% or £41.06 after 35.75%None
Exposure at entry1,000 shares702 share-equivalents, rising towards 1,000 as BP rises
Worst case£5,262.60 if BP went to zero, after the dividend£493.90

Above 500p on 18 December the shareholder finishes a fixed £171.63 ahead of the call holder before tax: the £192.50 of time value, the £63.90 dividend and £2.80 of option commission, less the £26.50 of SDRT the call holder did not pay and the £61.07 of interest. For a higher-rate taxpayer whose allowances are already used the gap is £173.21, because the dividend and the interest are taxed at nearly the same rate. Below 500p the call's loss stops at £493.90, or £432.83 after the £61.07 of interest; at 420p the shareholder is £1,062.60 down, £629.77 worse off than the call holder on the same basis (£568.70 before interest). The call is, in effect, the shares plus a floor at the strike, paid for with about £171.63 over four months.

UK tax: a sale, a lapse and an exercise in 2026/27

Buying the call is not a disposal. What follows it decides the tax. The figures assume the £3,000 annual exempt amount is used by other gains and show CGT at 18% (within the basic rate band) and 24% (above it) for 2026/27.

The December 500 call in the 2026/27 tax year
EventWhat the law doesComputationResult
Branch A: sold on 25 SeptemberAn ordinary disposal of the option (CG55536)£740.00 proceeds less £495.30 of premium and commissionsGain £244.70: CGT £44.05 at 18% or £58.73 at 24%. Held to 16 October: £76.45 or £101.93
Branch D: lapses on 18 DecemberAbandoning a traded option is a disposal (TCGA 1992 s144(4)(b); CG55415)Nil proceeds less £493.90Allowable loss £493.90
A and D on two contracts in one yearSame-year losses are set against same-year gains first£244.70 − £493.90Net loss £249.20, reported on the SA108 under "Other property, assets and gains" and claimable within four years
Branch E: exercisedNo disposal of the option: its cost joins the shares' cost (s144(3)(a); CG12314)£5,000 + £492.50 + £2.80 + £25.00 SDRTShare cost £5,520.30; nothing to report until the shares are sold

The trap on this page: buying the same call back. Options of the same series are pooled, so the same-day and 30-day matching rules apply to them (CG55535). In Branch C the stop sells the call on 7 October for a £252.80 loss. Buying the same December 500 series again on Monday 19 October 2026 at 22.00p (model 22.11p, BP 505p) matches the sale with that purchase: £241.10 of proceeds against £221.40 of cost, a gain of £19.70 instead of the loss, with the original £493.90 carried into the cost of the re-bought call. A different strike or expiry is a different series. The rules are worked on the tax page (bought options, 30-day matching). No option can be held in any ISA, so the call sits in a general account (wrappers).

The same trade on a US chain, counted in pounds

US equity options are 100-share contracts, American, with delivery one business day after exercise. For a like-for-like example, take a $100 US share that pays no dividend, and a December 18, 2026 $95 call bought on 17 August: IV 30%, a US rate of 3.625% (the model's midpoint of the Federal Reserve's target range), $0.05 ticks (a penny-programme class above $3), and IBKR's $0.65 a contract, which the $1.00 minimum per order lifts to $1.00 for one contract, before exchange fees.

US version: one $95 call on a $100 share, 100 shares a contract
Buy on 17 August: model $10.24, filled at $10.25 × 100 + $1.00$1,026.00 = £756.69 at $1.3559
Sell on Friday 16 October with the share at $110: model $16.27, filled at $16.25 × 100 − $1.00$1,624.00 = £1,160.00 at an illustrative $1.40
Gain in dollars$598.00
Chargeable gain: each leg in sterling on its own date£403.31

Converting the $598.00 gain at the purchase-date rate would give £441.04, which is not how HMRC computes it: cost and proceeds are each converted on their own dates (CG78310; two dates, two rates). Sterling's rise from $1.3559 to $1.40 cost this trade £37.73, before any conversion spread. The $1.3559 is the ECB reference-rate cross for 17 August; the $1.40 is an illustration. There is no UK SDRT on US shares; exercising would cost $9,500.00 for 100 shares. The US does not withhold tax on option gains for a UK resident; the W-8BEN matters for US dividends (W-8BEN and withholding). US options trade from 14:30 to 21:00 UK time, and from 13:30 to 20:00 during the clock-change week of 26 to 30 October (US hours in UK time).

Firms offering US options to UK residents, as the firms describe themselves (checked 26 September 2026): Interactive Brokers (U.K.) Limited, FCA reference 208159; IG's US options and futures account, where tastytrade executes and Apex Clearing holds the positions outside the FSCS; Robinhood U.K. Ltd, FCA reference 823590, at $0.50 a contract plus $0.04 of fees, with orders executed and held by Robinhood Securities, LLC in the US; and Webull Securities (UK) Ltd, which gives FCA reference 961286, acts as agent and opens the account with Webull Securities (Australia), at $0.50 a contract plus fees. tastytrade, Inc. is a US broker-dealer, not FCA-authorised. The FCA register (register.fca.org.uk) is where a firm's status can be confirmed; the US options page covers the route in full.

What the worked plan checked before buying, and why

The worked plan looked at six things before the purchase. None is a rule; each is a question with a price, and the table gives the price on this chain.

Six checks on the BP December 500 call, with what a different answer would have cost
CheckWhat the example foundWhy it mattersWhat a different choice changes
How much of the premium is time value19.25p of 49.25p, 39%Time value is the part that runs off if BP goes nowhereThe 540 call is all time value: 27.75p, lost in full at or below 540p
Time against the move123 days; the model's one-standard-deviation range for 18 December is 455.8p to 616.3pA rise that arrives after expiry pays nothingOctober costs £72.50 less and gives 63 fewer days
Events inside the option's lifeResults on 30 October, ex-dividend on 12 NovemberBoth are in the priceThe dividend takes £29.05 off the call; a 5.55% results premium would add £16.25
Where volatility sat26%, IV rank 25 on the model's 20% to 44% twelve-month range (the lower edge of the methods page's middle band)A buyer pays for volatility; vega is £10.33 a pointAt 32% (IV rank 50) the same call costs 55.73p, £63.72 more (IV rank)
The quoted spreadNot modelled in the fillHalf the spread is paid on each tradeA 4p-wide quote costs £40.00 round trip, 8.1% of the premium
Size£493.90 can be lost per contractThe maximum loss, not the notional, is what a sizing method budgetsThe sizing framework turns a loss budget into a contract count

Other ways to take the same view, priced on the same chain

Bullish alternatives to the December 500 call, on the same 17 August model chain
StructureOn this chainWhat changes, in pounds and risk
Bull call spread, buy 500, sell 58049.25p − 14.25p (model 14.29p) = 35.00p; £352.80 with two commissionsCosts £352.80 instead of £493.90 and breaks even at 535.00p, but the gain stops at £444.40 above 580p; the spread's own page works this trade
Written 500 put, cash-securedCredit 18.25p (model 18.19p, American), £181.10 after commissionCollects cash instead of paying it; the most it can make is the credit, and below 481.75p it loses as the shares would, with 1,000 shares bought at 500p (plus £25.00 SDRT) on assignment
Longer-dated call, June 2027 50063.50p (model 63.44p); £636.40 for 305 daysTime value costs £1.10 a day against £1.57, and the call passes three ex-dates: 12 November, and assumed dates of 18 February and 13 May 2027 (BP's first-quarter dividend went ex on 14 May 2026); the LEAPS page follows a two-year call on another share
1,000 shares£5,326.50Keeps the dividend and has no expiry, with no floor under the loss (compared above)

For a bullish view taken with a credit on a different share, the bull put spread works through HSBC. A falling-market view mirrors this page on the long put.

How these numbers are calculated

The dividend is taken out of the share price first: S* = 530 − 6.39 × e−0.0375 × 87/365. A European call is then the Black-Scholes value C = S*N(d1) − Ke−rTN(d2), with d1 = [ln(S*/K) + (r + σ²/2)T] ÷ σ√T and d2 = d1 − σ√T, T being calendar days divided by 365. The American value comes from a Cox-Ross-Rubinstein tree on S*, averaged over 200 and 201 steps, which at each step compares holding with exercising (adding back the dividend still to come) and keeps the larger. The Greeks are the change in that value for a small change in each input; theta is one calendar day. A model probability of ending above a level X is N(d2) with K replaced by X. The calculator behind every figure, and the tests it passes, are described on the methods page.

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