Options And Derivatives ·

European Option: Definition, Types, and Comparison to American Options

A European option is a type of options contract that restricts the holder’s right to exercise the option to the expiration date only. This contrasts with an American option, which allows exercise at any time up to and including the expiration date. Despite the names,…

A European option is a type of options contract that restricts the holder’s right to exercise the option to the expiration date only. This contrasts with an American option, which allows exercise at any time up to and including the expiration date. Despite the names, these terms do not indicate geographic origin but rather the rules governing exercise rights.

Key Takeaways

How European Options Work

  1. Rights of the Holder:
  1. A call option allows the holder to buy the underlying asset at a specified strike price on the expiration date.
  2. A put option allows the holder to sell the underlying asset at the strike price on the expiration date.
  3. Premium:
    The cost paid upfront by the investor to acquire the option. It reflects the option’s intrinsic value and time value.
  4. Settlement:
  1. European options are often cash-settled, particularly for index options.
  2. Settlement prices may not be immediately available, as brokers calculate them after market closure.

Types of European Options

  1. Call Option:
    Provides the right to purchase the underlying asset at the strike price upon expiration. Profit occurs if the asset’s price exceeds the strike price plus the premium.
  2. Put Option:
    Provides the right to sell the underlying asset at the strike price upon expiration. Profit occurs if the asset’s price is below the strike price minus the premium.

Closing a European Option Early

Although European options cannot be exercised before expiration, investors can sell them in the secondary market to realize potential gains or minimize losses. The resale value depends on:

European vs. American Options

FeatureEuropean OptionAmerican Option
Exercise TimingOnly on expiration dateAnytime up to and including expiry
Premium CostLowerHigher
FlexibilityLess flexibleMore flexible
DividendsCannot exercise for dividendsCan exercise to capture dividends
Common UsageIndex options, cash-settled instrumentsStock options, physical settlements

Pros and Cons of European Options

Pros

Cons

Example of a European Option

  1. Profitable Scenario:
  1. An investor buys a European call option for Citigroup (C) with:
    • Strike price: $50
    • Premium: $5 per share
    • Expiration: July
  2. At expiration, Citigroup trades at $75.
  3. Profit Calculation:
    • Stock gain: $75 – $50 = $25 per share.
    • Net profit: $25 – $5 (premium) = $20 per share.
    • Total profit: $20 x 100 shares = $2,000.
  4. Loss Scenario:
  1. If Citigroup trades at $30 at expiration, the call option is worthless.
  2. Loss: The investor loses the $500 premium paid.

Final Thoughts

European options are a cost-effective way to participate in options trading, especially for index-based strategies. However, the inability to exercise early requires careful planning and understanding of market conditions. They are well-suited for investors seeking predictable settlement structures and are often preferred for sophisticated trading strategies like hedging and arbitrage.