An options contract is a derivative instrument that grants the buyer a right without imposing an obligation. The seller (writer) of the option receives a premium and is obligated to fulfil the contract if the buyer exercises.

Types of Options

  • Call Option: Right to buy the underlying at the strike price. Profitable when spot price rises above strike + premium.
  • Put Option: Right to sell the underlying at the strike price. Profitable when spot price falls below strike − premium.

Moneyness

  • In-the-Money (ITM): Call when spot > strike; Put when spot < strike.
  • At-the-Money (ATM): Spot ≈ Strike price.
  • Out-of-the-Money (OTM): Call when spot < strike; Put when spot > strike.

Option Value

Option Premium = Intrinsic Value + Time Value

Intrinsic value = max(0, S − K) for calls; max(0, K − S) for puts.