Short Single-Stock Call Facing a Dividend and a Cash-Funded Delivery
Six sessions before expiry, ABC Ltd - an F&O stock with a lot size of 500, American-style options and physical settlement - trades at ₹1,542. Your client is short 8 lots of the 1,500-strike call, sold two weeks ago at ₹52; the call is quoted at ₹52 today, so it carries ₹42 of intrinsic value and ₹10 of time value. ABC has declared a dividend of ₹12 per share, going ex 3 sessions before expiry. The client holds no ABC shares in his demat account, has ₹12 lakh of unencumbered cash, and the rest of his limit is consumed by this position's SPAN and exposure margin. He says: 'Time value is only ₹10, nobody exercises early for that. I will hold to expiry, keep the ₹2.08 lakh premium, and if it settles above 1,500 I will buy the shares on expiry day and deliver them.'
1. Quantify the long holders' incentive to exercise early, and the cost to your client if assignment happens on the ex-date. What can he do instead?
Read the worked answer
Holder's arithmetic (per share): exercise now → pay 1,500, receive stock worth 1,542 = ₹42 of value, forfeiting ₹10 of time value, and standing on the register to collect ₹12.
- Net advantage of early exercise = 12 − 10 = ₹2 per share, i.e. ₹8,000 across 4,000 shares (8 lots × 500).
- Small, but positive and riskless, so a rational holder with low frictions exercises. Assignment among short holders is allocated randomly, so the client cannot avoid it by preference.
Client's cost if assigned (per share):
- Buy at 1,542, deliver at 1,500 → −₹42
- Short stock over the ex-date → pays the dividend → −₹12
- Premium kept → +₹52
- Net = −₹8 per share = −₹32,000, plus ₹61.68 lakh of funding to buy the shares.
Compare with escaping assignment and settling at the same 1,542 on expiry: 52 − 42 = +₹10 per share = +₹40,000. Early assignment therefore costs him exactly the ₹48,000 dividend.
Alternatives:
- Buy the call back at ₹52 - zero P&L on premium, no delivery, no dividend; the cleanest action given the dividend exceeds time value.
- Roll up and out (buy back 1,500, sell a higher strike with more time value) to keep a defined obligation.
- Do nothing only if he is prepared to fund ₹61.7 lakh and pay the dividend. 'Nobody exercises for ₹10' is the error: the test is time value versus dividend, not time value versus zero.
2. Assume no early assignment and ABC closes at ₹1,520 on expiry day. Compute the P&L, and test whether the client's stated plan ('buy the shares on expiry day and deliver') is executable.
Read the worked answer
Expiry P&L: intrinsic = 1,520 − 1,500 = ₹20. Stock options that finish in the money are automatically exercised and physically settled.
- Receives 1,500 × 4,000 = ₹60,00,000
- Must buy 4,000 shares at ₹1,520 = ₹60,80,000
- Delivery loss = −₹80,000
- Premium kept = +₹2,08,000
- Net = +₹1,28,000
Break-even at expiry = 1,500 + 52 = 1,552.
Executability test - this is where the plan fails:
- He must lay out ₹60.8 lakh to buy the shares; the ₹60 lakh he receives for delivering them settles on a later leg, and the exchange/broker charges delivery margin (VaR + ELM) on the physically settled position, not the much smaller SPAN number on an out-of-the-money short call.
- With ₹12 lakh of free cash he cannot fund the buy side. The broker will square off or fail the delivery, and a short delivery goes to auction: he bears the auction price difference plus penalty plus charges.
- So 'I will buy on expiry day' is a funding decision, not a market view. A short physically settled call must be sized against the full notional (₹60+ lakh here), never against the premium collected (₹2.08 lakh).
Correct framing: maximum profit on the trade is the ₹2.08 lakh premium; the obligation it creates is 30 times larger and is triggered by a ₹1 move in the underlying.
3. The client says index options never create this problem. Explain the difference and state the decision rule he should apply before selling any stock call.
Read the worked answer
Index options (Nifty, Bank Nifty): European exercise, cash settled, no delivery. A short index call cannot be assigned early, carries no dividend obligation, and if it expires in the money the debit is simply intrinsic × lot size - an amount already covered by the SPAN and exposure margin the broker holds. There is no auction risk.
Single-stock options: American exercise plus mandatory physical settlement since the shift away from cash settlement. This creates three risks absent from index options:
- Early assignment - driven by dividends (time value < dividend), and by borrow/carry economics.
- Delivery funding - full notional must be financed for a stock position that may be assigned even on a few paise of intrinsic value.
- Auction/close-out penalty - if delivery fails, the price difference and penalty are borne by the client.
Decision rule before selling a stock call:
- Compare time value with the dividend (plus funding cost). If time value < dividend before an ex-date, assume assignment; buy back or roll before the ex-date.
- Check that unencumbered cash or demat holdings cover 100% of the notional, because assignment is random and can arrive any session.
- Check liquidity and the borrow situation in the underlying; illiquid mid-caps can move limit-up and remove the ability to buy back.
- Never carry a short in-the-money stock option into expiry day without the shares or the cash; on expiry day the position stops being an option and becomes a stock trade.