# Equity Options

Can investors/speculators use equity options to boost return through buying and selling leverage (calls), and/or buying and selling insurance (puts)? If so, which strategies work best? These blog entries relate to trading equity options.

**February 5, 2013** - Equity Options, Volatility Effects

Does market underestimation of stock price uncertainty around earnings announcements support a short-term straddle strategy (call option and put option with matched strike and expiration, profitable with large stock price moves)? In their January 2013 paper entitled “Anticipating Uncertainty: Straddles Around Earnings Announcements”, Yuhang Xing and Xiaoyan Zhang investigate the performance of short-term, near-the-money straddles during intervals around earnings announcements. Short-term means no more than 60 days to expiration. Near-the-money means moneyness in the range 0.95 to 1.05. They focus on a delta-neutral straddle constructed by appropriately weighting the call and put positions at initiation, but they also consider a simple one call-one put alternative. They examine several straddle holding periods starting at the close five, three or one trading day before scheduled earnings announcement date and ending at the close on or one day after earnings announcement date. They calculate option returns based on the mid-point of the daily closing bid and ask as a fair option price (and require it to be at least $0.125). Using daily stock returns and option prices (with data filtered to exclude implausible data), along with contemporaneous quarterly firm fundamentals, during January 1996 through December 2010, *they find that:* Keep Reading

**March 20, 2012** - Equity Options, Strategic Allocation

Are there strategic asset allocation methodologies that reliably beat equal weight? In the February 2012 version of their paper entitled “Portfolio Optimization Using Forward-Looking Information”, Alexander Kempf, Olaf Korn and Sven Sassning investigate the performance of a minimum variance portfolio based on returns implied by equity options rather than historical returns. They argue that, since option prices reflect the expectations of market participants, the former approach is inherently forward-looking. The methodology involves calculating option-implied volatilities and option-implied correlations. Using daily prices for the Dow Jones Industrial Average (DJIA) stocks and associated option-implied return statistics during 1998 through 2009 for out-of-sample testing, and DJIA stock prices for 1993 through 1997 for historical data tests, *they find that:* Keep Reading

**March 2, 2012** - Equity Options, Volatility Effects

Do informed options traders know more than other traders? In other words, are there reliable and exploitable predictive relationships between changes in implied volatility and future returns for associated stocks? In the February 2012 version of their paper entitled “The Joint Cross Section of Stocks and Options”, Andrew Ang, Turan Bali and Nusret Cakici investigate the relationship between changes in implied volatility and stock returns for individual stocks. They consider both call-implied and put-implied volatilities based on near-term expirations. Using daily implied volatilities, associated daily stock prices and firm accounting data for a broad sample of U.S. stocks over the period January 1996 through September 2008 (153 months), *they conclude that:* Keep Reading

**February 16, 2012** - Equity Options, Volatility Effects

Are option traders market leaders, such that information gleaned from options trading anticipates equity returns? In the December 2011 draft of their paper entitled “Exploiting Option Information in the Equity Market”, Guido Baltussen, Bart Van der Grient, Wilma De Groot, Weili Zhou and Erik Hennink examine whether information publicly available from the option market exploitably predicts returns for individual U.S. stocks. Specifically, they investigate the separate and combined information value of four at-the-money (ATM) and out-of-the-money (OTM) equity option trading metrics:

- OTM Skew: the difference in implied volatilities between OTM puts and ATM calls.
- RV-IV: the difference between realized volatility over the past 20 trading days (RV) and implied volatility (IV).
- ATM Skew: the difference in implied volatilities between ATM puts and ATM calls.
- Change in ATM Skew.

They define an option as ATM (OTM) when the ratio of strike price to stock price is between 0.95 and 1.05 (0.80 and 0.95). They reform equally-weighted quintile sort test portfolios weekly based on Tuesday closes for each metric, with a one-day lag (implementing with Wednesday closing data). Using daily total returns, market capitalizations and options trading data for those of the 1,250 largest stocks in the S&P/Citigroup U.S. Broad Market Index with sufficient options data during January 1996 through October 2009, *they find that:* Keep Reading

**February 6, 2012** - Equity Options, Volatility Effects

Can investors usefully predict the short-term direction of the stock market by contrasting the outlooks implied by out-of-the-money (OTM) and at-the-money (ATM) market index options. In the October 2011 update of their paper entitled “Implied Volatility Spreads and Expected Market Returns”, Turan Bali, Ozgur Demirtas and Yigit Atilgan investigate the relationship between stock market index implied volatility spread (slope of the volatility smile) and future stock market return. They consider several measures of the implied volatility spread, such as the difference in implied volatilities between the S&P 500 Index OTM put option and the ATM call option that have the highest open interest or trading volume each day. They define moneyness as the ratio of strike price to stock price, with ATM (OTM) having moneyness between 0.95 and 1.05 (from 0.8 to 0.95). They exclude options with time to expiration less than 10 days or more than 60 days, options priced less than $0.125 and options with missing or anomalous data. Using daily closing prices for S&P 500 Index options and S&P 500 Index daily opening and closing levels from January 4, 1996 through September 10, 2008, along with contemporaneous firm and economic data used in robustness tests, *they find that:* Keep Reading

**January 9, 2012** - Equity Options, Fundamental Valuation, Volatility Effects

Are realized (actual historical) and implied volatilities the whole story for equity option valuation? In their December 2011 paper entitled “Fundamental Analysis and Option Returns”, Theodore Goodman, Monica Neamtiu and Frank Zhang investigate the extent to which the equity options market fails to recognize volatility of firm operations (accounting data) and whether any such failure is exploitable. They focus tests on long, one-month-to-expiration, at-the-money straddles (long both a call and a put), which profit from large moves in underlying stock prices. They estimate future volatility in firm fundamentals via regression based on a combination of short-term sales/earnings growth and long-term sales/earnings growth volatility (standard deviation over the last six years). They isolate a “pure” expected fundamental volatility via regression versus implied volatility and the implied-realized volatility gap. Using data as available to estimate the relationship between fundamental volatility and returns on options for individual U.S. stocks during January 1996 through September 2010 (52,251 firm-quarters involving 3,481 distinct firms), *they find that:* Keep Reading

**October 26, 2011** - Equity Options, Volatility Effects

An upward (downward) trend in implied volatilities with option maturity indicates that investors expect volatility to increase (decrease) over time. Do such expectations reliably predict future stock options prices? In his October 2011 paper entitled “Volatility Term Structure and the Cross-Section of Option Returns”, Aurelio Vasquez investigates whether the implied volatility term structure (measured as slope of implied volatilities across at-the-money options with receding expiration dates) predicts future option returns. Specifically, each month he ranks stocks into deciles by volatility term structure slope and then calculates future returns for extreme deciles from five option trading strategies: (1) naked calls; (2)naked puts; (3) straddles; (4) delta-hedged calls; and, (5) delta-hedged puts. He calculates returns relative to the initial prices of the options traded. Using monthly closing bid and ask prices for at-the-money options (moneyness between 0.95 and 1.05) on a broad sample of U.S. stocks, and associated firm characteristics, during January 1996 through June 2007 (260 stocks per month on average), *he finds that:* Keep Reading

**September 26, 2011** - Equity Options

Does a simple strategy of iteratively selling covered calls (buy-write) on the Russell 2000 Index beat buying and holding the index? In their September 2011 paper entitled “15 Years of the Russell 2000 Buy‐Write”, Nikunj Kapadia and Edward Szado evaluate returns on ten alternative buy‐write strategies for the Russell 2000 Index. Specifically, they consider one-month and two-month maturities and five levels of approximate moneyness: at-the-money (ATM); 2% and 5% in-the-money (ITM); and, 2% and 5% out-of-the-money (OTM). They estimate spread trading friction based on selling at the bid or at the bid-ask midpoint. They hold to expiration and cash settle at approximate expiration intrinsic value. Using monthly Russell 2000 Index total returns and Russell 2000 Index option bid-ask and implied volatility data from January 1996 through March 2011 (182 months), *they find that:* Keep Reading

**September 13, 2011** - Equity Options

In his 2011 book entitled *The Market Taker’s Edge: Insider Strategies from the Options Trading Floor,* author Dan Passarelli “offers lessons from the trading pits from the perspective of a professional trader turned options evangelist for the benefit of both aspiring professional traders and nonprofessional traders alike.” According to the book’s foreword: “What the trading industry has needed is a book that brings professional-trading experience and real-world know-how to the self-directed, individual trader; that is what Dan Passarelli’s book delivers.” Some *notable points from the book are:* Keep Reading

**July 13, 2011** - Equity Options, Volatility Effects

Are there differences in implied volatilities (option pricing) between major indexes and the exchange-traded funds (ETF) that track them? In their 2011 paper entitled “The Implied Volatility of ETF and Index Options”, Stoyu Ivanov, Jeff Whitworth and Yi Zhang compare implied volatilities of SPDR Dow Jones Industrial Average (DIA), SPDR S&P 500 (SPY) and PowerShares QQQ (QQQ) to those of the Dow Jones Industrial Average (DJIA), the S&P 500 Index and the NASDAQ 100 Index, respectively. They note that ETF prices may deviate from underlying index levels because: (1) ETFs incorporate trading frictions from rebalancing and management fees; (2) ETF composition may differ slightly from that of the underlying index due to trading cost constraints; (3) ETFs accumulate dividends in a non-interest bearing account for periodic lump sum distribution; and, (4) ETFs trade until 4:15 p.m., while indexes close at 4:00 p.m. Also, index options are European, while ETF options are American. Using index levels at the close and ETF prices within one second of 4:00 p.m. during 3/10/99 through 12/29/06, and associated ETF and index near-to-expiration options price data filtered for reliability during 2003 through 2006, *they find that:* Keep Reading