Options - Buying Rights, Selling Obligations

By EC Assets Research Team, Derivatives Strategy · Published · Updated

Options: An option is a contract that grants its buyer the right, but not the obligation, to buy (call) or sell (put) an asset at a fixed strike price until expiry. The seller accepts the matching obligation in exchange for the premium. That asymmetry between right and obligation is the source of everything else in options: pricing, hedging, and the volatility market itself.

The Contract

An option is an agreement about a future transaction that only one side can enforce. The buyer of a call acquires the right to buy the underlying at a fixed strike price on or before expiry; the buyer of a put acquires the right to sell at the strike. The seller of either contract has no such choice: if the buyer exercises, the seller must deliver. For accepting that obligation the seller collects the premium, paid upfront and kept in every outcome.

One listed equity option contract covers one hundred shares, and exercise style differs by market: American-style options can be exercised any day up to expiry, European-style only at expiry. Most single-stock options are American; most index options, including those on the S&P 500, are European and settle in cash.

The Asymmetry Is the Point

Everything distinctive about options follows from one structural fact: the two sides do not hold mirror-image positions.

The buyer's worst case is losing the premium, however far the market moves. The seller's best case is keeping that same premium, while the worst case is bounded only by how far the underlying can travel. A share position gains and loses linearly; an option position bends. That bend, payoff that changes shape depending on where the underlying ends up, is what lets options do things shares cannot: insure a portfolio, cap a loss precisely, or monetise the market's demand for such insurance.

The price of the bend is time value. An option's premium splits into intrinsic value, what exercising would be worth right now, and time value, the market price of everything that might still happen before expiry. Intrinsic value is arithmetic; time value is a market opinion about uncertainty, and it decays to zero by expiry.

What Actually Sets the Premium

Five inputs drive an option's price: the underlying's level relative to strike, time to expiry, interest rates, dividends, and expected volatility. The first four are observable. The fifth is not, and that makes it the one the market truly trades. Quote an option's price and a model can back out the volatility it implies; this implied volatility is the option market's forecast of movement, and comparing it with the movement that later occurs is the basis of the volatility risk premium that systematic sellers harvest.

This is why practitioners describe the options market as a market for volatility rather than direction. Two traders can agree exactly on where a stock is going and still take opposite sides of an option, because they disagree on how much it will move on the way there.

Worked Example

A stock trades at 100. The one-month 105 call costs 1.80.

The buyer pays 180 per contract. At expiry with the stock at 112, the right to buy at 105 is worth 7.00: profit 5.20 per share, nearly three times the stake, on a 12 percent move in the underlying. At 104, the option expires worthless and the buyer loses exactly 1.80, no more, even if the stock had crashed to 60 instead. Breakeven sits at 106.80, the strike plus the premium.

The seller's ledger is the mirror with a cap: keep 1.80 at anything below 105, lose progressively above 106.80, with no ceiling on the loss if the stock gaps higher. Selling the call against shares already owned converts that open-ended risk into a familiar structure, the covered call; selling it naked leaves the asymmetry fully loaded against the seller.

[!key] The buyer of an option pays a known premium for a right and can never lose more than that premium. The seller keeps the premium in exchange for an obligation whose cost is unknown in advance. Premium = intrinsic value + time value, and time value is priced expectation of movement.

[!warning] The capped loss belongs to the buyer alone. Sold options carry open-ended risk on single names and large, gap-driven risk on indices, which is why position sizing and defined-risk structures, not premium income, decide whether an options seller survives the occasional violent repricing.

Why It Matters for Institutional Investors

References

  1. Hull, J. C. (2022). Options, Futures, and Other Derivatives (11th ed.). Pearson.
  2. Natenberg, S. (2015). Option Volatility and Pricing (2nd ed.). McGraw-Hill.
  3. McMillan, L. G. (2012). Options as a Strategic Investment (5th ed.). Prentice Hall.
  4. Cboe Global Markets. The Options Institute: options basics and contract specifications.
  5. Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3).

Frequently asked questions

What is an option in simple terms?

A contract that lets you fix a price today for a transaction you may or may not carry out later. You pay a premium for that choice. A call fixes a buying price, a put fixes a selling price, and if the fixed price turns out to be unattractive you simply let the contract expire and lose only what you paid.

What is the difference between a call and a put?

A call is the right to buy at the strike and gains value when the underlying rises above it; a put is the right to sell at the strike and gains value when the underlying falls below it. Buying a put on shares you own works like insurance: it sets a floor under your selling price for the cost of the premium.

Why trade options instead of just buying the stock?

Because shares can only change the size of your exposure, while options change its shape. A stockholder participates point for point in every outcome. An option holder can cap a loss at the premium, target a specific range, or get paid for accepting outcomes others want to avoid. That flexibility is bought with time decay: being roughly right too late can still lose money.

What determines an option's price?

Five inputs: the underlying price relative to the strike, time to expiry, interest rates, expected dividends, and expected volatility. The first four are observable, so the real negotiation is about the fifth. That is why option prices are routinely quoted in volatility terms rather than currency.

Can you lose more than you invest with options?

As a buyer, no: the premium is the maximum loss, always. As a seller, yes: a sold call on a single stock has no upper bound on its loss, and sold puts can lose the full strike. Most of the well-known options disasters were sellers who sized positions off the income instead of the obligation.

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