Factor Model for Delta-Hedged Options Returns

Subscribe to newsletter

Options are contracts that allow traders to buy or sell a security at a predetermined price. Options give the holder the right, but not the obligation, to buy (call option) or sell (put option). They are traded on exchanges like stocks and have their own ticker symbols. Options can be used to hedge against risks and/or speculate on price movements. They offer traders the ability to leverage their capital in order to increase potential returns.

Options are versatile instruments that allow traders to express different views on the market. They can be used to speculate not only on the direction of an asset but also on the degree of movement. Options traders can position themselves to benefit from a volatile or range-bound market, as well as capitalize on news events and corporate announcements. Furthermore, options can be used to create synthetic positions that mimic the effects of owning a security, but without actually having to own it.

Reference [1] examined the returns of delta-hedge options positions by applying a factor model. Traditionally, factor models have been used mainly in the equity market. The article pointed out

Subscribe to newsletter https://harbourfrontquant.beehiiv.com/subscribe Newsletter Covering Trading Strategies, Risk Management, Financial Derivatives, Career Perspectives, and More

Motivated by the theory, we construct new empirical factors based on the following five option characteristics: option illiquidity, option price, the difference between option-implied volatility and realized volatility, the difference between option-implied skewness and realized skewness, and the difference between option-implied kurtosis and realized kurtosis. After constructing the factors, we test if they are explained by existing models and find that established factor models for stock, bond, and option markets can hardly explain our new factors for option returns. Then, we conduct a number of asset pricing tests to evaluate the relative performance of our factor model. The tests demonstrate its superior performance; the average absolute alpha on the test portfolios (constructed with 35 option characteristics and 93 stock characteristics) is significantly reduced by the newly proposed factor model, whereas the existing factor models cannot explain a substantial portion of the realized returns on the long-short portfolios of equity options.

This article highlighted some important points that are not discussed often in the trading community, notably,

  • Seemingly large options returns are in fact compensation for volatility risk, tail/jump risk, and liquidity risk in the options market.
  • Delta-hedged options returns are functions of the differences between the physical and risk-neutral moments (volatility, skewness, and kurtosis) as well as option price and option illiquidity.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Bali, Turan G. and Cao, Jie and Chabi-Yo, Fousseni and Song, Linjia and Zhan, Xintong, A Factor Model for Stock Options (2022) https://ssrn.com/abstract=4308916

Subscribe to newsletter https://harbourfrontquant.beehiiv.com/subscribe Newsletter Covering Trading Strategies, Risk Management, Financial Derivatives, Career Perspectives, and More

Further questions

What's your question? Ask it in the discussion forum

Have an answer to the questions below? Post it here or in the forum

LATEST NEWSChina revises up 2023 GDP, sees little impact on 2024 growth
China revises up 2023 GDP, sees little impact on 2024 growth
Stay up-to-date with the latest news - click here
LATEST NEWSTarget's Holiday Clearance Event Begins Today, Featuring Deals of up to 50% off on Clothing, Shoes, Beauty, Toys and More
Target's Holiday Clearance Event Begins Today, Featuring Deals of up to 50% off on Clothing, Shoes, Beauty, Toys and More
Stay up-to-date with the latest news - click here
LATEST NEWSOil prices extend gains on fresh China stimulus measures, declining US inventories
Oil prices extend gains on fresh China stimulus measures, declining US inventories
Stay up-to-date with the latest news - click here
LATEST NEWS‘Rich people pay lots of tax’ and a ‘woke’ Statistics Canada: How FP columnists saw it in 2024
‘Rich people pay lots of tax’ and a ‘woke’ Statistics Canada: How FP columnists saw it in 2024

Read excerpts from columns that appeared in April, May and June 2024 in FP Comment. This in the second instalment in a series

Stay up-to-date with the latest news - click here
LATEST NEWSWhat ails Canada’s EV sector? ‘Everything, everywhere, all at once’
What ails Canada’s EV sector? ‘Everything, everywhere, all at once’

For many companies in the EV space, the biggest question is what it will take to reverse the declining momentum and regain solid footing

Stay up-to-date with the latest news - click here

Leave a Reply