An option is a contract that gives the buyer the right, but not the obligation, to buy or sell an underlying security at a specified price (the strike price) on or before a specified date (the expiration date). Options are derivatives — their value is derived from the price of an underlying asset, typically a stock.
Think of options as insurance contracts or reservations. You pay a small premium upfront for a right that may or may not have value at expiration. The key word is "right" — the buyer has the choice; the seller (writer) has the obligation.
> Real-world analogy for a call option: Imagine you want to buy a house currently worth $400,000, but you don't have the full down payment yet. You pay the seller $5,000 for the exclusive right to purchase the house at $400,000 anytime in the next 6 months. If the house rises to $450,000, you exercise your right — you get a $50,000 gain for a $5,000 investment. If it falls to $370,000, you let the option expire and lose only your $5,000. This is exactly how a call option works.
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A call option gives the buyer the right to BUY the underlying stock at the strike price before expiration.
Call buyer (long call):
Call writer/seller (short call):
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A put option gives the buyer the right to SELL the underlying stock at the strike price before expiration.
Put buyer (long put):
Put writer/seller (short put):
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| Status | Call Option | Put Option | |---|---|---| | In the Money (ITM) | Stock price > strike price | Stock price < strike price | | At the Money (ATM) | Stock price = strike price | Stock price = strike price | | Out of the Money (OTM) | Stock price < strike price | Stock price > strike price |
> Intuition for calls: A call is in the money when the stock is above the strike — you have the right to buy cheap and immediately sell for more. A call is out of the money when the stock is below the strike — why exercise the right to buy at $50 when you can buy the stock at $45 in the market?
> Intuition for puts: A put is in the money when the stock is below the strike — you have the right to sell at $50 when the stock is worth only $40. A put is out of the money when the stock is above the strike — why exercise the right to sell at $50 when the stock is worth $60?
Only in-the-money options have intrinsic value.
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Every option's premium consists of two components:
Out-of-the-money options have zero intrinsic value — all of their premium is time value.
Time Value = Option Premium − Intrinsic Value
> Example: A call option with a $50 strike has a premium of $8. The stock is at $55. > - Intrinsic value = $55 − $50 = $5 > - Time value = $8 − $5 = $3 > - The $3 of time value reflects the remaining time and volatility premium
Time value decays to zero at expiration — this decay accelerates as expiration approaches (a concept called theta decay). At expiration, an option is worth only its intrinsic value (which could be zero for OTM options).
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This distinction matters for index options (covered in the index options section) — know that cash-settled index options like SPX are European style.
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| Position | Right or Obligation | Bullish or Bearish | Max Gain | Max Loss | |---|---|---|---|---| | Long Call | Right to BUY | Bullish | Unlimited | Premium paid | | Short Call | Obligation to SELL | Neutral/Bearish | Premium received | Unlimited | | Long Put | Right to SELL | Bearish | Strike − Premium | Premium paid | | Short Put | Obligation to BUY | Neutral/Bullish | Premium received | Strike − Premium |
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Quiz Questions:
Q1. An investor buys 1 XYZ call option with a $60 strike price and pays a $4 premium. The stock rises to $67 at expiration. What is the investor's profit or loss on this position?
A) $3 profit B) $4 loss C) $7 profit D) $11 profit
Answer: A — At expiration, the call is worth its intrinsic value: $67 − $60 = $7. The investor paid $4 in premium. Profit = $7 − $4 = $3 per share, or $300 per contract. The $7 is the intrinsic value, not the profit — you must subtract the premium paid (C ignores the cost). You only lose the $4 premium if the stock is below $60 at expiration (B would apply if the stock closed at or below $60).
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Q2. A put option on ABC stock has a strike price of $45 and is trading at a premium of $6. The stock is currently at $41. What is the intrinsic value and time value of this put?
A) Intrinsic = $6, Time = $0 B) Intrinsic = $4, Time = $2 C) Intrinsic = $0, Time = $6 D) Intrinsic = $4, Time = $6
Answer: B — The put is in the money because the stock ($41) is below the strike ($45). Intrinsic value = $45 − $41 = $4. Time value = Premium − Intrinsic = $6 − $4 = $2. If intrinsic were $6, the stock would need to be at $39 (A is wrong). This is an ITM put, so it does have intrinsic value (C is wrong for OTM puts only). Time value cannot equal the full premium when there is intrinsic value (D double-counts).
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Q3. An investor writes (sells) 1 uncovered call option on DEF stock with a $75 strike and receives a $5 premium. What is the maximum gain and maximum loss on this position?
A) Max gain = unlimited; Max loss = $500 B) Max gain = $500; Max loss = unlimited C) Max gain = $500; Max loss = $7,500 D) Max gain = $500; Max loss = $500
Answer: B — The call writer collects the $5 premium ($500 per contract) — that is the most they can ever make. If the stock skyrockets to $200, they must deliver stock at $75 when it is worth $200 — a catastrophic loss. Because a stock has theoretically unlimited upside, the uncovered call writer has unlimited maximum loss. $7,500 is not a standard answer for this scenario (C). Both sides being equal would apply to a straddle, not a naked call (D).
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Q4. Which of the following options positions is considered BEARISH?
A) Long call B) Short put C) Long put D) Short call
Answer: C — A long put profits when the stock falls — the buyer has the right to sell at the strike price, which becomes valuable when the stock drops below that level. This is a bearish position. Long call = bullish (A). Short put = neutral to bullish — the writer wants the stock to stay flat or rise so the put expires worthless (B). Short call = neutral to bearish — the writer profits if the stock stays below the strike, but it's primarily income-motivated, not a pure bearish bet (D).
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Q5. A call option with a $100 strike is trading at a $7 premium when the stock is at $104. Which of the following is TRUE?
A) The option is out of the money because the premium exceeds the intrinsic value B) The option is at the money because the premium is $7 C) The option is in the money; intrinsic value = $4, time value = $3 D) The option is out of the money; intrinsic value = $0, time value = $7
Answer: C — The call is in the money because the stock ($104) is above the strike ($100). Intrinsic value = $104 − $100 = $4. Time value = $7 − $4 = $3. Moneyness is determined by the relationship between stock price and strike price — not by the premium level (A and B misapply the concept). An ITM call always has positive intrinsic value; D would be correct for an OTM call where the stock is below the strike (D is wrong here).