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Options library / Level 3 Exposure / Strategy 26

Uncovered short call for UK investors: a small premium against a loss with no ceiling

A call written on shares that are not owned can make no more than its premium, while the loss grows with every penny the share rises. This page works one BP October call on the 1,000-share ICE contract: the tail in 10% steps, the margin that rises as the price does, three squeezes and bids that show the tail is real, BP's November ex-dividend date, and the UK tax when a buy-back and an assignment fall either side of 5 April.

£70.00Premium for one BP October 580 call, 7.00p on 1,000 shares
£630.00Initial requirement on the strategy-based formula
−£1,587.04Marked result if a 40% cash bid arrived on the first day
No limitMaximum loss: a share price has no ceiling
Options hub Level 3 Uncovered short call Bear call spread Covered call Assignment and expiry UK options tax Strategy builder
On this page (13 sections)
  1. One BP October 580 call, written without the shares
  2. Payoff: £68.60 at best, and no floor
  3. The tail in 10% steps
  4. Stress and margin: the requirement rises with the share price
  5. BP from 17 August to 16 October 2026
  6. Greeks: quiet in the middle, violent at the strike
  7. Squeezes and bids: Volkswagen 2008, GameStop 2021, Hargreaves Lansdown 2024
  8. BP's 12 November ex-date and the December 580 call
  9. A FTSE 100 call instead: what the index removes and what it keeps
  10. Closing, stopping or rolling the call: the conventions in pounds
  11. UK tax: a buy-back and an assignment land in different years
  12. Costs, and what the premium has to cover
  13. Other ways to take the view that BP will not rise far
26

Uncovered (Naked) Short Call

A call written with neither the shares nor a higher call behind it
L3 · ExposureBearish to neutralUnlimited loss£630.00 requirement per BP contract

An uncovered short call writes a call option without owning the shares and without buying a higher call. The worked example writes BP's October 580 call for 7.00p, £70.00 on one 1,000-share ICE contract. The most it can make is that premium, £68.60 after the opening commission, if BP finishes at or below 580p. The most it can lose has no limit: every penny above 587.00p costs £10, and a 40% rise by expiry would cost 22.2 times the premium. Against the bear call spread, it gives up a ceiling on that loss. It is built for a view that a share will not rise far, in an account that can meet a requirement that rises with the price.

This page assumes the reader knows the covered call (the same call with the shares behind it) and the bear call spread (the same call with a higher call bought). The short straddle and short strangle carry the same uncapped call, plus a written put. BP stands in as a model underlying, priced at an illustrative 530p against its actual close of 519.6p on 17 August 2026 (price data: Yahoo Finance); nothing here is a view on BP. Every figure is modelled: inputs and method.

One BP October 580 call, written without the shares

The position on Monday 17 August 2026, BP at 530p, with 60 days until Friday 16 October
PositionTradeStrike choiceExpiryDeltaEngine valueFilled at (0.25p tick)
Written callSell to open580p, 9.4% above BP and 0.86 standard deviations outFriday 16 October 20260.23 a share: short 228 share-equivalents7.04p7.00p = £70.00 received
SharesNone heldNothing stands behind the obligation to deliver 1,000 shares    
Higher callNone boughtThe 600 call would cost 4.00p, 57% of the premium  3.92p 

The model puts a 19.8% probability on BP finishing above 580p and 16.8% above the 587.00p breakeven (risk-neutral, lognormal, IV 26%), and a 39.4% probability that it trades at 580p at some point before expiry. Those numbers describe how often the call is a problem, not how large the problem is; the tables below do that.

BP options trade on ICE Futures Europe in the standard 1,000-share size only (BP is not one of the 22 UK names with a 100-share mini; contract sizes). They are American, so the call can be exercised against the writer on any business day, and exercise delivers shares. IBKR lists a short naked call at its Options Level 4, the highest of its four levels, and it needs a margin account: IBKR's cash accounts accept covered calls and fully funded written puts but not an uncovered call (account types and permissions). IBKR's portfolio margin is an optional upgrade for accounts with at least USD 110,000 of net liquidation value; the ordinary strategy-based requirement below applies without it.

Open this worked example in the strategy builder (the fill, no dividend in the October life).

Payoff: £68.60 at best, and no floor

−£1,500−£1,000−£500£0450p500p550p600p650p700p750pBP share price (p)Entry 530pStrike 580pBreakeven 587p+40%: 742pUncovered call at expiry, 16 October30 days left, IV 26%Entry day, 17 August580/600 bear call spread, at expiryModel ±1 SD at expiry
What the call costs or pays at the 16 October 2026 expiry, per contract, costs excluded (7.00p premium)
BP at expiryCall worthProfit or loss (£)Loss as a multiple of the premium
480p0.00p+£70.00All of the premium kept
530p (entry price)0.00p+£70.00All of the premium kept
560p0.00p+£70.00All of the premium kept
580p (strike)0.00p+£70.00All of the premium kept
587.00p (breakeven)7.00p£0.00Nothing either way
600p20.00p−£130.001.9
636p (20% up)56.00p−£490.007.0
689p (30% up)109.00p−£1,020.0014.6
742p (40% up)162.00p−£1,550.0022.1

The profit is a thin shelf: £70.00 anywhere at or below 580p. The chart's dashed and dotted lines sit below that shelf everywhere, because before expiry the call still has time value; buying it back early always costs more than the expiry line suggests. The comparison line is the 580/600 bear call spread, which gives up £40.00 of the premium and stops losing at 600p.

The tail in 10% steps

A chart has to stop somewhere; the loss does not. The table follows BP up in steps and sets three things against each other: the uncovered call's result at expiry, the same view held as the 580/600 bear call spread, and the requirement a broker would ask for if BP jumped to that price on the first day.

Result at expiry per contract after opening commission, and the day-one requirement at that price (strategy-based formula, IV 26%, 60 days)
BP rises byBP priceUncovered 580 callMultiple of the premium lost580/600 spread (3.00p credit)Requirement if reached on day one
10%583.0p+£38.60Still a profit−£2.80£1,443.91
20%636.0p−£491.407.0−£172.80£1,927.93
30%689.0p−£1,021.4014.6−£172.80£2,516.01
40%742.0p−£1,551.4022.2−£172.80£3,141.54
50%795.0p−£2,081.4029.7−£172.80£3,775.87
75%927.5p−£3,406.4048.7−£172.80£5,365.64
100%1,060.0p−£4,731.4067.6−£172.80£6,955.64
200%1,590.0p−£10,031.40143.3−£172.80£13,315.64
£0£2,000£4,000£6,000£8,000£10,0000%50%100%150%200%Rise in BP from 530p by 16 October (%)Uncovered 580 call: loss after opening commission580/600 bear call spread: loss

Each 10% rise beyond the strike adds £530 of loss, and the spread column shows what a ceiling is worth: from a 20% rise on, the spread's loss is fixed at £172.80 while the uncovered loss keeps growing. The last column matters before expiry. A requirement that is £630.00 at 530p is £3,141.54 at 742p and £6,955.64 at 1,060p, so the cash an account needs to hold the position grows at the same time as the loss, which is the mechanism behind forced closures (the margin spiral).

Stress and margin: the requirement rises with the share price

BP moved instantly on 17 August 2026 with 60 days to run, per contract: each result includes the £1.40 opening commission but not the bid-ask
ScenarioBPMarked resultResult if BP stayed there to 16 OctoberRequirement at the new priceStarting equity needed to cover it
Two SD down, IV 24%429.3p+£68.43+£68.60£429.42£360.99
One SD down, IV 25%477.0p+£62.23+£68.60£483.34£421.11
Unchanged, IV 26%530.0p−£1.79+£68.60£630.39£632.18
One SD up, IV 28%588.9p−£262.26−£20.61£1,508.70£1,770.95
Two SD up, IV 32%654.4p−£780.14−£675.32£2,157.52£2,937.66
20% gap up on a possible offer, IV 40%636.0p−£690.68−£491.40£2,031.28£2,721.96
40% cash bid, IV 10%742.0p−£1,587.04−£1,551.40£3,139.64£4,726.69

The requirement uses the Cboe and FINRA strategy-based formula for an uncovered equity call: the option's value plus 20% of the share price, less any amount by which the call is out of the money, with a floor of the value plus 10% of the share price. At entry that is £630.00 (the floor would be £600.00), of which £560.00 is cash beyond the premium received. A UK broker sets its own requirement for ICE options, and the preview on its order ticket is the number that counts (uncovered margin formulas).

Volatility is stepped up on the way up in this table, the opposite of an index, because on a single share the upside is where a bid or a squeeze sits; on a cash bid it collapses to 10%, since the price is then pinned near the offer. The down rows are worth at most +£68.43. The up rows show the requirement rising 242% two standard deviations higher and 5.0 times on the bid, while the marked loss reaches 22.7 times the premium. It would take 23.1 expiries at the full £68.60 to earn back one such morning. A single contract written from an account below £4,726.69 would be under its requirement on the bid morning. At ten contracts the premium after commission is £686.00, the bid loss −£15,870.43 and the requirement £31,396.43: size multiplies the premium and the tail by the same number. Level 3 explains the stress method and lists the historical gaps that make such rows plausible (gap history).

BP from 17 August to 16 October 2026

Model inputs. BP at an illustrative 530p; implied volatility 26% at entry, with each branch's volatility stated; rate 3.75% (Bank Rate); no dividend falls in the October call's life, because BP goes ex-dividend next on 12 November (bp financial calendar 2026), and an American call with no ex-date in its life is valued like a European one (Black-Scholes-Merton); 60 days; ICE standard contract, 1,000 shares; commission £1.40 a contract on IBKR UK's tiered schedule (£1.00 plus £0.37 exchange and £0.03 clearing), or £1.70 fixed, checked 26 September 2026, and charged on exercise and assignment too; bid-ask: half of an illustrative 1.00p quote, each way. Modelled example: inputs and method.

Entry, Monday 17 August 2026
Write 1 BP October 580 call at 7.00p, owning no BP shares+£70.00
Commission to open−£1.40
Breakeven at expiry (after opening costs)587.00p (586.36p), 10.8% above 530p
Initial requirement (strategy-based)£630.00
Maximum profit, if the call lapses (no closing trade)£68.60
Maximum lossNo limit

Branch A: half the premium on Tuesday 8 September

BP has slipped to 512p with 38 days left, implied volatility 25%. The call is worth 1.29p; bought back on the tick at 1.25p, inside the 3.50p that marks half the premium, so the worked plan's half-credit convention closes it.

Premium 7.00p less 1.25p to close, after two commissions+£54.70
After a 0.50p half-spread each way (£10.00)+£44.70

Holding to expiry would have added at most £13.90, the 1.25p buy-back and its commission (+£68.60 on a lapse against +£54.70). From that day the model put a 6.2% probability on BP finishing above 580p and 4.6% above the breakeven (risk-neutral, lognormal, IV 25%): the last £13.90 came with the whole of the tail still attached.

Branch B: tested on Tuesday 1 September, and the stop

BP has risen to 575p with 45 days left and implied volatility has risen to 28%. The call is worth 21.45p and would be bought back at 21.50p: past the 21.00p at which the worked plan's two-times-premium stop sits (a £140.00 marked loss). The position is short about 503 share-equivalents, and the requirement has risen 109%, to £1,314.46.

Close at 21.50p, after both commissions−£147.80
Roll up and out instead: buy back at 21.50p, write the November 600 at 20.25p (model 20.34p, IV 28%, with the 6.39p dividend on 12 November in its life)−£15.30, a debit
Hold to 16 October instead+£68.60 if BP finished at or below 580p; −£231.40 at 610p

The roll pays nothing: moving the strike 20p further away and a month further out costs more than it collects, and the new call would carry BP's 30 October results and 12 November ex-date. Under a credit-only rolling habit there is no roll here; the rolling page sets out when that habit traps (close or roll).

Branch C: a hypothetical bid

The same hypothetical bid for the model underlying that the bear call spread page follows through the Takeover Code timetable (takeover-morning table): no offer for BP exists or is implied. On Tuesday 1 September a possible-offer announcement lifts BP 20% to 636p and implied volatility to 40%; on Tuesday 29 September, the 28th day, either a firm cash offer arrives at 742p with volatility at 10%, or the bidder walks away and BP returns to 520p with volatility back at 26%.

1 September, possible offer: the 580 call is worth 71.04pMarked −£641.83; requirement £1,982.43
29 September, firm offer at 742p: the call is worth 163.01pClosed −£1,562.92, 22.3 times the premium; requirement until then £3,114.12
29 September, bidder withdraws, BP 520p, IV 26%Closed +£63.93

Branch D: held to 16 October at 742p and assigned

If the call is left open into expiry with BP at 742p, it is exercised and the writer must deliver 1,000 BP shares at 580p, £5,800.00, without owning any. Buying them in the market costs £7,420.00 plus £37.10 of SDRT, because the writer is now the buyer of shares; the holder who exercised pays SDRT of £29.00 on the strike consideration (who pays SDRT). With the premium, the opening commission and the commission on assignment, the result is −£1,589.90, against −£1,552.80 for buying the call back at its intrinsic value on the last day: the delivery route costs the stamp duty more. If the shares are not bought at once, the broker borrows them for the account at a fee or buys them in, and any dividend paid while the short is open is owed to the lender (assigned without the shares).

Greeks: quiet in the middle, violent at the strike

Greeks of the written call per contract (the writer's signs); stress columns move BP instantly on the entry day
Measure17 August: 60 days, 530p, IV 26%16 September: 30 days, 530p, IV 26%9 October: 7 days, 530p, IV 26%17 August: one SD up to 588.9p, IV 28%17 August: one SD down to 477.0p, IV 25%
Delta, share-equivalents−228−129−7−597−35
Delta, £ for each 1p−£2.28−£1.29−£0.07−£5.97−£0.35
Gamma: change in share-equivalent delta per 10p rise−54.1−53.3−10.0−57.9−15.8
Time decay earned, £ a calendar day+£1.53+£1.45+£0.26+£2.48+£0.32
Volatility exposure, £ per IV point−£6.50−£3.20−£0.14−£9.24−£1.48
Marked result to date (£, costs excluded)−£0.39+£45.30+£69.58−£260.86+£63.63

With BP unchanged the call fades: by 9 October it is short only 7 share-equivalents and £69.58 of the £70.00 premium is in hand. That quiet column is the common path and the misleading one. Put BP on the 580p strike instead and gamma grows as expiry approaches: each 10p rise adds 75.0 share-equivalents to the short with 45 days left, 110.1 with 21 and 190.9 with 7, while the writer is short about 515 share-equivalents. The last week at the strike pays 2.4 times the theta of the 45-day point (+£6.24 a day against +£2.63) for 2.5 times the gamma. Delta is not the probability of assignment either (delta is not a probability).

Squeezes and bids: Volkswagen 2008, GameStop 2021, Hargreaves Lansdown 2024

The tail table is arithmetic; these three episodes show the jumps are not hypothetical. In each, the share price jumped within days or weeks, and a call written on it before the jump would have lost many times its premium. The causes differed, which is the point: a disclosed holding, a wave of buying, a cash bid.

Three upward jumps, what drove them and what they mean for a written call
EpisodeWhat happenedMechanismFor a call writer
Volkswagen, October 2008On Sunday 26 October 2008 Porsche SE disclosed that it held 42.6% of Volkswagen's ordinary shares plus cash-settled options over a further 31.5%, 74.1% in all, giving as its reason that "by far more short positions" were in the market than expected. On 28 October the ordinary shares traded above €1,000 (price data: IMD case study, checked 27 September 2026).The disclosure showed that most of the shares were already held or covered by options, while short positions were larger than the market had assumed.A call written on a share with a large hidden holder is exposed to a jump that no chart shows in advance.
GameStop, January 2021GameStop closed at $19.95 on 12 January 2021 and at a high of $347.51 on 27 January, and traded at $483.00 intraday on 28 January (SEC staff report, October 2021). These prices are before the four-for-one split of July 2022; after the split, $483.00 corresponds to $120.75.Short interest peaked at 109.26% of shares outstanding on 31 December 2020. The SEC staff found that positive sentiment, not buying to cover, sustained the rise, and found no evidence of a "gamma squeeze" from hedging of written calls.The tail needed no mechanical squeeze. A hypothetical $50 call written for $3.00 when the share was near $20 would have stood at a loss of $43,000 a 100-share contract at the high, 143 times its premium.
Hargreaves Lansdown, 2024An offer period began on 22 May 2024; on 9 August 2024 a consortium announced a firm offer of 1,140p a share (1,110p in cash plus a 30p dividend), a premium of 54.1% to the undisturbed close of 740.0p on 11 April 2024.A cash offer: once a bid is public, the share trades towards the offer price.The 40% bid rows on this page are smaller than this real one.

Where a UK reader can look. Three public sources show some of this risk before a trade, though none shows all of it:

  • Offer periods. The Takeover Panel's Disclosure Table lists every company currently in an offer period, with its Rule 2.6 deadline. An offer period starts with an announcement that names any potential bidder in talks with the company (Rule 2.4), which then has 28 days to make a firm offer or walk away (Rule 2.6(a)). A first approach is not public until that announcement, so the table shows bids already in progress, not the next one.
  • Short positions. Since 13 July 2026, under the Short Selling Regulations 2025, net short positions in shares on the FCA's reportable list (including positions held through options, delta-adjusted) are notified to the FCA from 0.2% of issued share capital, and the FCA publishes an aggregated net short position for each issuer; individual holders are not named.
  • Company announcements. Possible-offer, firm-offer and holding announcements are released through the regulatory news services on the day.

None of these measures a squeeze in advance, and the Volkswagen holding was cash-settled options, not shares. The bear call spread page times a hypothetical bid through the Takeover Code's deadlines in more detail.

BP's 12 November ex-date and the December 580 call

The October call expires before BP's third-quarter results on Friday 30 October and its ex-dividend date on Thursday 12 November (bp financial calendar 2026). A December version carries both. Priced on 17 August with the modelled 6.39p dividend (the second-quarter 8.66 US cents at the model exchange rate; BP sets the actual figure with its results), the December 580 call is worth 14.29p, of which 0.22p is the value of being able to exercise before the ex-date; without the dividend it would be 16.08p.

BP December 580 call on Wednesday 11 November 2026, the day before the ex-date: hold or exercise (pence per share; model, IV 26%, 37 days, 6.39p dividend)
BP on 11 NovemberValue if held through the ex-dateValue if exercised nowGain from exercising: intermediaryGain after 2.90p SDRT: private holder
620p42.54p40.00p−2.54p−5.44p
640p59.15p60.00p+0.85p−2.05p
660p77.34p80.00p+2.66p−0.24p

A holder with stamp duty relief (an options intermediary) gains by exercising from about 634p; a private holder, who also pays 0.5% SDRT on the 580p strike, only from about 664p (early exercise before an ex-date). The holder on the other side of a written call is often an intermediary, so the lower figure is the one that matters to the writer. For an uncovered writer the consequence is sharper than for a spread writer: assigned on the evening of 11 November, the account is short 1,000 BP shares on the ex-date and owes the lender the dividend, £63.90, on top of buying or borrowing the shares. The bear call spread page works the same test on the December 560 call.

A FTSE 100 call instead: what the index removes and what it keeps

BP October 580 call against a FTSE 100 October 11,300 call written uncovered (60 days from 17 August 2026; FTSE on the model surface at 10,750)
FeatureBP 580 call (ICE, 1,000 shares)FTSE 100 11,300 call (ESX, £10 a point)
Distance and premium9.4% out; £70.005.1% out, IV 12.00%; 44.5 points, £445.00 (delta 0.16)
Size of the underlying position£5,300 of shares at 530p£107,500 of index at 10,750
Initial requirement (strategy-based)£630.00: 20% of the share price less the out-of-the-money amount£11,195.00: 10% of the index, the floor, because 15% less the out-of-the-money amount comes to less
Result at expiry after a 10% rise+£38.60−£4,806.70
Early exercisePossible on any business day (American)None (European)
DividendsThe 12 November test aboveNo ex-date test; the index yield is in the price
Takeover bid or squeezeA single company can be bid for or squeezedThe index cannot be bid for; a bid for one member moves it by that company's weight
SettlementShares delivered; the buyer pays 0.5% SDRTCash against the EDSP; no SDRT
Overnight gapYesYes: the index can gap too
Tax when it goes against the writerAssignment joins the premium to a share disposal (s144(2)(a))Settlement is one transaction with the grant, dated at settlement (s144A(2))

The index version removes the company-specific jumps and the delivery, and keeps the unlimited loss: a 10% rise in the FTSE 100 by expiry would cost £4,806.70 on one contract, because each point is worth £10 on a far larger position. FTSE 100 contract details are on the FTSE 100 options page.

Closing, stopping or rolling the call: the conventions in pounds

The worked plan's habits on the BP October 580 call, per contract, against what the other choice would have given
HabitBranchOutcomeOther choice, in pounds
Closing at half the premiumBranch A, 8 September at 512p+£54.70Holding: at most £13.90 more, with the tail attached
Stop at twice the premiumBranch B, 1 September at 575p−£147.80Holding: +£68.60 at or below 580p, −£231.40 at 610p; a gap jumps the stop, as in Branch C
Rolling only for a creditBranch B, November 600No roll: it was a debit of −£15.30The roll would also have taken on the 12 November ex-date
Closing on a possible-offer announcementBranch C, 1 September−£641.83 marked that morningWaiting 28 days: −£1,562.92 on a firm offer, or +£63.93 if the bidder walked away
Closing before expiry rather than being assignedBranch D, 16 October at 742p−£1,552.80Assigned and buying the shares: −£1,589.90

Each habit trades one outcome in pounds for another, and none is advice; where each comes from, and what evidence exists for it, is on the methods page. A stop is a decision made at a price, not a guarantee of that price: Branch C opens straight through it. The library's sizing framework measures a position like this by its stress rows rather than a maximum loss, since it has none (sizing framework).

UK tax: a buy-back and an assignment land in different years

Writing the call is a disposal on its grant date, 17 August 2026: +£68.60 in 2026/27 if it lapses. A buy-back is folded into the grant (TCGA 1992 s148), so the gain falls or turns into a loss in the grant's own year. An assignment replaces the grant computation: the premium joins the proceeds of the shares delivered (s144(2)(a); HMRC CG12313), and any tax already charged on the grant is set off (CG12317), here a short sale matched with the shares bought to close it (assignment table). Figures take the £3,000 annual exempt amount as used elsewhere; 18% or 24% turns on the basic rate band left.

The same bid, two tax years: a call written on Wednesday 17 March 2027 for the April expiry at the same 7.00p premium (for illustration), with BP at 742p in April
How it endsComputationResultTax year
Bought back on 12 April 2027 at an illustrative 165.00pGrant (s144(1)) less the buy-back folded in by s148−£1,582.802026/27, the grant year
Assigned on 16 April 2027, shares bought at 742p the same dayShort sale at 580p plus the premium (s144(2)(a)), matched with the purchase and its SDRT−£1,589.902027/28, the year of exercise

The trap is the date, not the size. Closed in the market, the loss belongs to 2026/27 and can be set against that year's gains. Left to be assigned, almost the same loss moves to 2027/28, where it cannot be carried back against a 2026/27 gain, only forward (across 5 April); the disposal date on exercise is the exercise date, not the settlement date (TCGA 1992 s28(2)). Options cannot sit in an ISA, and we could not find a UK SIPP administrator that accepts them (checked 26 September 2026): wrappers compared.

Costs, and what the premium has to cover

Costs of the BP October 580 call per contract, against its £70.00 premium
CostAmountShare of the premium
Commission to open (IBKR UK tiered; £1.70 fixed)£1.402.0%
Half of a 1.00p quote, each way£5.00 to open, £5.00 to close14.3% for the round trip
Commission to buy back, or on assignment£1.402.0%
SDRT on 1,000 shares bought at 742p to deliver£37.10Only after an assignment

The costs are small against the premium and irrelevant against the tail; the real cost comparison is with the wing. The 600 call costs 4.00p, 57% of the premium, and caps the loss at £172.80. The bear call spread page prices that choice for the 560 call.

Other ways to take the view that BP will not rise far

Alternatives to the uncovered BP October 580 call
AlternativeIn poundsIn risk
Bear call spread 580/600£30.00 received; breakeven 583.00pLoss capped at £172.80; needs Options Level 3, not 4
Covered callThe same £70.00 against 1,000 BP shares already ownedA rise costs only upside; the shares carry the downside; a cash account can hold it
Long putA premium paid rather than received: the October 530 put costs 20.75p (£207.50)The most that can be lost is the premium; it profits from a fall, not from time
Spread bet or CFD shortNo CGT on a spread bet's gains, and no relief for its lossesLosses grow with the price; retail CFDs and spread bets carry a 50% margin close-out and negative-balance protection (FCA COBS 22.5), which listed options do not (three ways compared)
How these numbers are calculated

Premiums. The October call has no ex-date in its life, so its American value equals the Black-Scholes-Merton value with r = 3.75% and q = 0. The December call is priced on a binomial (Cox-Ross-Rubinstein) tree averaging 200 and 201 steps, with the 6.39p dividend deducted as an escrowed cash amount. Fills are model values rounded to the 0.25p tick; £ per contract = pence × £10.

Result at expiry. (premium − max(0, BP − 580p)) × £10, less commissions where stated. Breakeven = 580p + premium.

Requirement (strategy-based, for illustration). Value + max(20% × share price − out-of-the-money amount, 10% × share price), per share × 1,000. Starting equity needed = requirement − marked result.

Early exercise test. Value held = the European value on 11 November with the 6.39p dividend deducted from the share price; value exercised = share price − 580p; a private holder also pays 0.5% × 580p.

Probabilities. Risk-neutral, lognormal, at the stated volatility; the probability of touching is the barrier-crossing formula on the same model. None is a forecast.

The BP figures here, with the inputs behind them, sit in data/options-examples/strategy-uncovered-short-call-uk.json; a site build reprices them and flags any number on the page that has drifted.

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