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Options Trading Strategy: Conversion Arbitrage Explained

Last updated 02/01/2024 by

Alessandra Nicole

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Summary:
Conversion arbitrage, an options trading strategy, aims to exploit pricing inefficiencies in the options market. This risk-neutral approach involves purchasing a put and writing a covered call with identical strike prices and expiration dates. Traders seek to profit when there is a perceived overpricing of call options or underpricing of put options, potentially caused by market inefficiencies or mispriced interest rate assumptions. This comprehensive guide explores the intricacies of conversion arbitrage, delving into its workings, the role of put-call parity, associated risks, and an illustrative example.
Conversion arbitrage is a nuanced options trading strategy meticulously designed to capitalize on pricing inefficiencies within specific options. This method, rooted in risk neutrality, centers on the simultaneous purchase of a put and the writing of a covered call on a pre-owned stock with matching strike prices and expiration dates.

Understanding conversion arbitrage

Conversion arbitrage aims to secure a riskless profit by identifying options that are either overpriced or underpriced relative to each other and the underlying stock. This determination is made using a trader’s pricing model, and the strategy involves selling short the underlying stock while concurrently offsetting the trade with an equivalent synthetic long stock position achieved through a combination of a long call and a short put.

How it works

In practical terms, if the underlying security’s price falls, the synthetic long position experiences a loss equal to the gain in the short stock position. This delta-neutral strategy remains impervious to market direction, potentially accruing profits as options’ intrinsic value changes nearing expiration.

Put-call parity and black-scholes formula

The foundation of conversion arbitrage lies in the theoretical claim of put-call parity, derived from the Black-Scholes options pricing formula. This formula asserts that fully hedged calls and puts with the same underlying, expiration date, and strike price should be theoretically identical. Any deviation from this parity, as expressed in the formula, presents a potential arbitrage opportunity.

Example of conversion arbitrage

Consider a scenario where the left side of the put-call parity equation (call minus put price) differs from the right side. This deviation indicates a potential conversion arbitrage opportunity that savvy traders may exploit.

Risks and considerations

While labeled as arbitrage, conversion arbitrage is not without risks. Fluctuations in interest rates can impact carry costs and earnings on credit balances, including interest charged on debit balances. Transaction costs, encompassing broker fees and margin interest, also contribute to the practicality and availability of arbitrage opportunities.
WEIGH THE RISKS AND BENEFITS
Here is a list of the benefits and drawbacks to consider.
Pros
  • Potential for riskless profit
  • Capitalizes on options pricing inefficiencies
  • Delta-neutral strategy
  • Utilizes theoretical foundations of put-call parity
Cons
  • Subject to market risks
  • Dependent on accurate pricing models
  • Transaction costs and practical limitations
  • Rare availability in the market due to quick exploitation

Frequently asked questions

Is conversion arbitrage a guaranteed way to make a profit?

No, conversion arbitrage is not a guaranteed profit strategy. While designed to exploit pricing inefficiencies, market risks, dependence on accurate pricing models, and transaction costs can impact actual outcomes.

How often do conversion arbitrage opportunities arise in the market?

Conversion arbitrage opportunities are rarely available in the market due to swift actions by traders who quickly identify and exploit potential risk-free profits, restoring market equilibrium.

Can conversion arbitrage be executed without considering transaction costs?

No, transaction costs such as broker fees and margin interest are integral considerations. These costs can significantly impact the practicality and feasibility of conversion arbitrage opportunities.

Are there regulatory considerations for conversion arbitrage?

While not directly regulated, traders engaging in conversion arbitrage should be aware of market regulations and ensure compliance with options trading rules and procedures.

Key takeaways

  • Conversion arbitrage aims to exploit pricing inefficiencies in options trading.
  • The strategy involves a risk-neutral approach with simultaneous put and covered call transactions.
  • Put-call parity, rooted in the Black-Scholes formula, guides conversion arbitrage opportunities.
  • Risks include market fluctuations, dependence on accurate pricing models, transaction costs, and rare availability.

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