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AMERICAN VS EUROPEAN OPTIONS

American and European options are two distinct types of options, primarily differentiated by the timing restrictions on their exercise dates.
This guide will explore the concept of exercising options, covering both calls and puts, and discuss the key features and characteristics of each type. We will also highlight the differences between American and European options, providing examples to illustrate these distinctions.

BASIC UNDERSTANDING

WHAT IS AN OPTION?

Option is a financial derivative that gives the buyer the right, but not the obligation, to buy (call option) or sell (put option) an underlying asset at a predetermined price (strike price) within a specified period of time
 

 

Options Contract specifies the underlying asset, the strike price, the expiration date, and whether it is a call or put option. It grants the holder (buyer) certain rights and the writer (seller) certain obligations.

Exercise is the action of utilizing the right conferred by the option contract to buy or sell the underlying asset at the predetermined strike price.
  • It’s the process of buying (in the case of a call option).
  • Or the process of selling (in the case of a put option).

AMERICAN & EUROPEAN OPTIONS KEY DIFFERENCES

American Options can be exercised at any time before or on the expiration date.
  • Provides more flexibility for the holder to capture favorable price movements of the underlying asset at any time. 
  • Typically has a higher premium compared to European options due to this flexibility. 
     
European Options can only be exercised on the expiration date.
  • Less flexible as the holder cannot exercise the option before expiration, regardless of how favorable the market conditions might be.
    Usually has a lower premium compared to American options due to these restrictions.
     

PRICING DIFFERENCES

American Options 
  • Typically priced using binomial models or other lattice-based models that account for the possibility of early exercise.
  • The possibility of early exercise generally results in a higher premium, especially for options on assets with dividends or other factors that might prompt early exercise.
  • Requires complex option price modeling to factor in early exercise while also considering the time value of money and dividends.
     
European Options
  • Commonly priced using the Black-Scholes model, which assumes the option can only be exercised at expiration.
  • Generally has a lower premium compared to American options, as there is no possibility of early exercise.
  • The pricing is simpler since it only needs to consider the value at expiration, without accounting for early exercise possibilities.
     

FEATURES AND CHARACTERISTICS

KEY FEATURES

American Options
  • Exercise Flexibility: can be exercised at any time before or on the expiration date.
  • Higher Premium: Typically commands a higher premium due to the added flexibility of early exercise.
  • Dividend Consideration: More advantageous for options on dividend-paying stocks as holders can capture dividends by exercising early.
     
European Options
  • Exercise Restriction: Can only be exercised on the expiration date.
  • Lower Premium: Generally has a lower premium compared to American options due to the lack of flexibility.
  • Strategic Use: Often used in structured products and index options where early exercise is less critical.

AMERICAN OPTIONS & EARLY EXERCISE FEATURE

Early Exercise Feature is the ability to exercise at any time increases the option's value because it allows the holder to capitalize on favorable price movements or capture dividends by exercising early. This flexibility reduces the risk of missing out on potential profits, thereby increasing the premium.
  • Only unique to American options & Bermudan Options

KEY DIFFERENCES

FEATURES

AMERICAN STYLE OPTIONS

EUROPEAN STYLE OPTIONS

Trading

Typically traded on exchanges

Typically traded over-the-counter (OTC)

Premium Benefits

Higher premiums due to greater flexibility

Lower premiums due to exercise restrictions

Settlement Type

Often relate to individual stocks or ETFs, can settle in stock or cash

Tend to relate to indices, settle in cash

Final Value Based On

Last closing trade price

Opening price of index components

Trading Volume

Higher trading volume

Lower trading volume

Time of Exercise

Can be exercised at any time before expiration

Can only be exercised at the expiration date

Pricing Options

Binomial or lattice based model preferable with early exercise

Black-Scholes model is more accurate

Type of Assets

Typically related to equities

Typically pegged to indices

EXAMPLES

AMERICAN OPTIONS EXAMPLE

American Options Exercise Scenario: An investor buys a $30 strike American call option in April with a six-month expiration period. 
 
The stock price rises to $60 three months later in June and the investor decides to exercise his option at the set strike price of $30 per share, costing a total of $3,000 and the investor is left with two options:
  1. Hold the underlying shares: In speculation of greater potential price movement.
  2. Sell the underlying shares: At the market price of $60 per share, earning $6,000 and realizing a profit of $3,000.
     
Investors can also purchase put options, which give them the right to sell rather than buy. In the case of put options, the investor would exercise their right to sell if the asset's value declines.

EUROPEAN OPTION EXAMPLE

European Options Exercise Scenario: An investor buys a $30 strike European call option in April with a six-month expiration period. Unlike American options, European options can only be exercised at expiration.

The stock price rose to $60 three months later in June. However, the investor cannot exercise the option yet as it is a European style option.

The stock price then falls back to $45 three months later on the options expiration date of October, and the investor is left with two options:
  1. Hold the underlying shares: In speculation of greater potential price movement.
  2. Sell the underlying shares: At the market price of $45 per share, earning $4,500 and realizing a profit of $1,500.
     
Investors can also purchase put options, which give them the right to sell rather than buy. In the case of put options, the investor would exercise their right to sell if the asset's value declines. For European put options, this would also occur only at expiration.

CONCLUSION

In conclusion, understanding the differences between American and European style options is crucial for navigating the complexities of the financial markets. American options offer flexibility with their early exercise feature, allowing investors to capitalize on favorable price movements or capture dividends before expiration. On the other hand, European options provide simplicity with their restriction to exercise only at expiration, often at a lower premium. Whether you're considering trading on exchanges or over-the-counter, recognizing these differences is key. We trust that this guide has provided clarity on these concepts. Thank you for investing your time with us.

REFERENCES

At ProbabilityofProfit.com, we are dedicated to delivering accurate and trustworthy content to our readers. Our team meticulously researches each topic, ensuring that the information we provide is both comprehensive and reliable. We reference high-quality sources, including academic journals, industry reports, and market analysis, to support our content. Additionally, we draw upon original studies and data from respected publishers to provide a well-rounded perspective. 
 
Our commitment to accuracy means we constantly review and update our articles to reflect the latest developments and trends in options trading. We strive to present unbiased information, allowing our readers to make informed decisions based on solid evidence. Discover more about our rigorous standards and our dedication to excellence on our website.
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