Option
Also written Options · Option contract
A contract giving the buyer the right, but not the obligation, to buy or sell the underlying at a stated price on or before a stated date, in exchange for a premium paid to the writer.
In plain language
Every other derivative binds both sides. An option binds only one.
The buyer pays a premium up front and gets a right. He can walk away. The most he can lose is the premium he has already paid.
The writer receives that premium and gets an obligation. If the buyer exercises, the writer must perform, whatever the market has done in the meantime.
A call gives the right to buy the underlying. A put gives the right to sell it. Pricing is a separate question — see option-premium for what the buyer is actually paying for.
How it works
The asymmetry produces a payoff table worth memorising:
| Risk | Return | |
|---|---|---|
| Long (buyer) | Premium paid | Unlimited |
| Short (writer) | Unlimited | Premium received |
That asymmetry also drives the margining. Only the writer posts mark-to-market margin, because only the writer has an open obligation; the buyer has already paid everything he can ever owe.
Indian market conventions that get examined directly:
- All index and stock options in India are European style — exercisable only on the expiry date. American options, exercisable any time up to expiry, exist elsewhere.
- Index options that finish in the money are cash settled: the holder receives the difference between the closing spot value of the index and the strike.
- Assignment is the allocation of an exercised option to one or more writers. Every writer must assume it is possible.
The formula
Call payoff at expiry = max(Spot − Strike, 0)
Put payoff at expiry = max(Strike − Spot, 0)
Call profit = payoff − premium paid
Call BEP = Strike + Premium
Put BEP = Strike − Premium
A worked example
The index is at 17,562. You buy a near-month call at strike 17,500 for a premium of Rs 95, at the workbook's chapter-16 lot size of 50.
Premium outgo = 95 × 50 = Rs 4,750 ← your entire maximum loss
| Index at expiry | Payoff per unit | Premium | Profit per unit | Profit on one lot |
|---|---|---|---|---|
| 17,400 | 0 | −95 | −95 | −Rs 4,750 |
| 17,500 | 0 | −95 | −95 | −Rs 4,750 |
| 17,595 | 95 | −95 | 0 | Rs 0 |
| 17,700 | 200 | −95 | 105 | Rs 5,250 |
| 18,000 | 500 | −95 | 405 | Rs 20,250 |
Notice what happens below the strike. At 17,400 you do not exercise — why buy the index at 17,500 when the market sells it at 17,400? You forgo the right and lose the premium, and only the premium. At 17,500 exactly, the option is worthless too: the payoff is zero and you are still down Rs 95.
Now flip sides. The writer of that call banked Rs 4,750 on day one. At 18,000 he pays out Rs 25,000 against a payoff of Rs 500 a unit, for a net loss of Rs 20,250 — and there is no index level at which that loss stops growing.
Why NISM asks about it
Chapter 16 (Introduction to Options) is the definitional chapter — buyer versus writer, call versus put, European versus American, premium, strike, spot, assignment, opening and closing transactions. Chapter 17 builds strategies on it and Chapter 21 repeats it for interest rate options on government securities. Expect payoff-table arithmetic, the risk-return grid above, and at least one question on why Indian index and stock options are European.
Common exam traps
- Long a put is not the same as a long position. Long call gives you a long exposure to the underlying; long put gives you a short exposure. The workbook flags this explicitly.
- Only the writer pays MTM margin. A question comparing futures and options margining is testing this: in futures both sides pay, in options only the seller does.
- Rights are not obligations. The buyer chooses; the writer is "legally bound to honour the contract" whenever the buyer exercises.
- European does not mean geography. It is an exercise style, and it is what India uses for index and stock options.
- The premium is per unit of the underlying. Multiply by the lot size to get the money that actually moves.
- At expiry the option is worth its intrinsic value only — the time component has gone to zero.
Where this is taught
- Series V-D · Chapter 13: Basics of Derivativesintroduced here
- Series VIII · Chapter 1: Basics of Derivativesintroduced here
- Series X-A · Chapter 10: Understanding Derivativesintroduced here
- Series IV · Chapter 2: Interest Rate Derivativesintroduced here
- Series I · Chapter 4: Exchange Traded Currency Optionsintroduced here
- Series V-D · Chapter 16: Introduction to Options
- Series IV · Chapter 4: Exchange Traded Interest Rate Options
- Series VIII · Chapter 4: Introduction to Options
- Series V-D · Chapter 21: Exchange Traded Interest Rate Options
Related terms
- Break-even pointThe level of the underlying at which a position makes neither profit nor loss — for a bought call, strike plus premium; for a bought put, strike minus premium.
- GammaThe rate at which an option's delta changes for a one-unit change in the underlying — the second-order Greek, and the reason a delta hedge stops working as soon as the market moves.
- Call optionA contract giving its buyer the right, but never the obligation, to buy the underlying at a fixed strike price — so the loss is capped at the premium and the gain is not.
- Implied volatilityThe volatility figure that, put into an option pricing model, reproduces the option's actual market price — the market's consensus forecast of how much the underlying will move.
- Option premiumThe price an option buyer pays the seller for the right the contract carries — non-refundable, and made up of intrinsic value plus time value.
- Option writerThe seller, who receives the premium and is obliged to buy or sell if the buyer exercises.
- Put optionA contract giving its buyer the right, but never the obligation, to sell the underlying at a fixed strike price — insurance against a fall, bought for a premium.
- DerivativeA contract whose value is derived from the value of something else — the underlying — rather than from anything the contract itself owns or produces.
- InsuranceThe risk-management approach that pays an explicit upfront premium to remove the downside while keeping the upside — which in derivatives means buying an option rather than selling a future.
- MoneynessWhether exercising an option right now would give the buyer a positive, zero or negative cash flow — classifying it as in the money, at the money or out of the money.