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Volatility Effects

Reward goes with risk, and volatility represents risk. Therefore, volatility means reward; investors/traders get paid for riding roller coasters. Right? These blog entries relate to volatility effects.

Testing the Low-volatility Effect on Chinese A Shares

Does the low-risk stock anomaly hold for China A shares, dominated by local private investors rather than institutions and characterized by high volatility and herding? In their January 2021 paper entitled “The Volatility Effect in China”, David Blitz, Matthias Hanauer and Pim van Vliet examine the performance of low-volatility China A shares. At the end of each month, they rank these stocks into value-weighted tenths (deciles) based on volatility or market beta over the last 36 months. To ensure comparability to other widely studied factors, they then construct a volatility (VOL) factor following the Fama-French 2×3 factor portfolio construction method. To mitigate concerns about exploitability, they exclude micro-cap stocks and set size breakpoints using only large mid-cap stocks stocks. They calculate next-month excess total returns in U.S. dollars relative to the 1-month U.S. Treasury bill (T-bill) yield. For comparison, they similarly construct and measure returns for size, value, profitability, investment and momentum factor portfolios among China A shares. Using monthly total returns and monthly accounting data for all constituents of the MSCI China A Onshore Index and the  MSCI China A Onshore Investable Market Index (about 1,200 stocks per month on average) and monthly T-bill yield during November 2000 through December 2018, they find that:

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Cyclical-Defensive Sector Rotation Based on VIX Level

Do differences in equity sector responses to stock market crashes (and associated volatility spikes) support an exploitably attractive sector rotation strategy? In the November 2020 update of his paper entitled “Actively Using Passive Sectors to Generate Alpha Using the VIX”, Michael Gayed examines a cyclical-defensive sector rotation strategy using the level of the CBOE S&P 500 Volatility Index (VIX) as trigger. Specifically, he iteratively favors defensive sectors (Utilities, Consumer Staples and Healthcare) when daily VIX is relatively low in anticipation of VIX increases and favors cyclical sectors (Technology, Industrials, Materials and Consumer Discretionary) to buy into high-VIX panics and benefit from VIX reversion. He considers:

  • Three allocation schemes: (1) 100% long favored sectors and 100% short unfavored sectors; (2) 100% long favored sectors; and, (3) overweighting (underweighting) favored (unfavored) sectors by 5% to form a modified S&P 500 Index.
  • Two weighting schemes for sets of defensive and cyclical sectors: (1) equal weighting, and (2) S&P 500 sector weighting.
  • Two ways of applying the Nelder-Mead method to identify daily VIX levels that trigger defensive-to-cyclical and cyclical-to-defensive switches: (1) using only the first five years (1999-2004) of the full sample, and (2) using a 5-year rolling window throughout the sample period.

Using daily levels of VIX and the S&P 500 Index and daily prices of Select Sector SPDR Exchange Traded Funds (ETF) during January 1999 through October 2020, with strategy tests starting January 2005, he finds that: Keep Reading

When Institutional Investors Seek Safety

How do mutual funds and hedge funds change their stock holdings in response to a sharp market crash? In their July 2020 paper entitled “Where Do Institutional Investors Seek Shelter when Disaster Strikes? Evidence from COVID-19”, Simon Glossner, Pedro Matos, Stefano Ramelli and Alexander Wagner analyze changes in institutional and retail stock holdings during the first quarter of 2020. Using a February-March 2020 snapshot of returns and firm accounting data for non-financial stocks in the Russell 3000 Index, institutional holdings of these stocks as percentages of shares outstanding during the fourth quarter of 2018 through the first quarter of 2020, and number of Robinhood clients (representing retail investors) holding these stocks on December 31, 2019 and March 31, 2020, they find that:

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Effectiveness of Various Risk Controls during the COVID-19 Crash

How well did previously identified portfolio risk management strategies work during the COVID-19 market crash? In their July 2020 paper entitled “Strategic Risk Management: Out-of-Sample Evidence from the COVID-19 Equity Selloff”, Campbell Harvey, Edward Hoyle, Sandy Rattray and Otto Van Hemert extended analyses of risk management strategies they identified in a 2016-2019 series of papers with an out-of-sample test of the February-March 2020 stock market sell-off. These strategies include:

  • Long put options, short credit risk, long bonds or long gold.
  • Trend following based on time series/intrinsic momentum (past return divided by volatility of returns over a specified lookback interval) or on moving average crossovers.
  • Holding defensive stocks (based on profitability, payout, growth, safety or quality).
  • Volatility targeting (increasing/decreasing exposure when past volatility is relative low/high).
  • Rebalancing a stocks-bonds portfolio only half way and only when recent (1, 3 or 12 months) portfolio return is above its historical average.

Extending analyses from their prior papers through March 2020 to capture the COVID-19 crash, they find that:

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The BGSV Portfolio

How might an investor construct a portfolio of very risky assets? To investigate, we consider:

  • First, diversifying with monthly rebalancing of:
    1. Bitcoin Investment Trust (GBTC), representing a very long-term option on Bitcoins.
    2. VanEck Vectors Junior Gold Miners ETF (GDXJ), representing a very long-term option on gold.
    3. ProShares Short VIX Short-Term Futures (SVXY), to capture part of the U.S. stock market volatility risk premium by shorting short-term S&P 500 Index implied volatility (VIX) futures. SVXY has a change in investment objective at the end of February 2018 (see “Using SVXY to Capture the Volatility Risk Premium”).
  • Second, capturing upside volatility and managing drawdown of this portfolio via gain-skimming to a cash position.

We assume equal initial allocations of $10,000 to each of the three risky assets. We execute a monthly skim as follows: (1) if the risky assets have month-end combined value less than combined initial allocations ($30,000), we rebalance to equal weights for next month; or, (2) if the risky assets have combined month-end value greater than combined initial allocations, we rebalance to initial allocations and move the excess permanently (skim) to cash. We conservatively assume monthly portfolio reformation frictions of 1% of month-end combined value of risky assets. We assume accrued skimmed cash earns the 3-month U.S. Treasury bill (T-bill) yield. Using monthly prices of GBTC, GDXJ and SVXY adjusted for splits and dividends and contemporaneous T-bill yield during May 2015 (limited by GBTC) through June 2019, we find that:

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Safe Haven Benchmark Index

How should investors evaluate the effectiveness of a safe haven asset? In their July 2020 paper entitled “A Safe Haven Index”, Dirk Baur and Thomas Dimpfl devise and apply a safe haven index (SHI) to evaluate over 20 individual potential safe haven assets. SHI consists of seven equal-weighted assets: gold, Swiss franc, Japanese yen, 2-year, 10-year and 30-year U.S. Treasuries and 10-year German government bonds. For evaluations, they focus on four safe haven events: the October 1987 stock market crash, the September 2001 terrorist attacks, the September 2008 Lehman collapse and the March 2020 COVID-19 pandemic. Using daily data for index components and other potential safe haven assets as available during January 1985 through May 2020, they find that:

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Rational Uses of Leveraged and Inverse ETPs

What are rational uses of leveraged and inverse exchange-traded products (ETP), which offer easy access to amplified positions in various benchmark indexes spanning stocks, bonds, commodities and volatility? In their April 2020 paper entitled “Levered and Inverse ETPs: Blessing or Curse?”, Colby Pessina and Robert Whaley review the mechanics of leveraged and inverse ETPs, simulate their expected performance of those based on six popular benchmarks and document actual performance of 35 ETPs. They employ Monte Carlo simulations assuming normally distributed log returns for underlying indexes, with mean and standard deviation estimates based on historical daily returns during December 20, 2005 through March 13, 2020. Using simulation inputs as specified and data for 35 actual ETPs as available through mid-March 2020, they find that:

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Best Stock Portfolio Styles During and After Crashes

Are there equity styles that tend to perform relatively well during and after stock market crashes? In their April 2020 paper entitled “Equity Styles and the Spanish Flu”, Guido Baltussen and Pim van Vliet examine equity style returns around the Spanish Flu pandemic of 1918-1919 and five earlier deep U.S. stock market corrections (-20% to -25%) in 1907, 1903, 1893, 1884 and 1873. They construct three factors by:

  1. Separating stocks into halves based on market capitalization.
  2. Sorting the big half only into thirds based on dividend yield as a value proxy, 36-month past volatility or return from 12 months ago to one month ago. They focus on big stocks to avoid illiquidity concerns for the small half.
  3. Forming long-only, capitalization-weighted factor portfolios that hold the third of big stocks with the highest dividends (HighDiv), lowest past volatilities (Lowvol) or highest past returns (Mom).

They also test a multi-style strategy combining Lowvol, Mom and HighDiv criteria (Lowvol+) and a size factor calculated as capitalization-weighted returns for the small group (Small). Using data for all listed U.S. stocks during the selected crashes, they find that: Keep Reading

Shorting VXX with Crash Protection

Does shorting the iPath S&P 500 VIX Short-Term Futures ETN (VXX) with crash protection (attempting to capture the equity volatility risk premium safely) work? To investigate, we apply crash protection rules to three VXX shorting scenarios:

  1. Let It Ride – shorting an initial amount of VXX and letting this position ride indefinitely.
  2. Fixed Reset – shorting a fixed amount of VXX and continually resetting this fixed position (so the short position does not become very small or very large).
  3. Gain/Loss Adjusted – shorting an initial amount of VXX and adjusting the size of the short position according to periodic gains/losses.

We consider two simple monthly crash protection rules based on the assumption that volatility changes are somewhat persistent, as follows:

  • Prior Month Positive Rule – short VXX (go to cash) when the prior-month short VXX return is positive (negative).
  • Prior Week Positive Rule – short VXX (go to cash) when the prior-week short VXX return is positive (negative).

For tractability, we ignore trading frictions, costs of shorting and return on retained cash from shorting gains. Using monthly closes for the S&P 500 Volatility Index (VIX) and monthly and weekly reverse split-adjusted closing prices for VXX from February 2009 through March 2020, we find that: Keep Reading

The Low-down on Low-risk Investing

Low-risk investment strategies buy or overweight low-risk assets and sell or underweight high-risk assets. Growth in low-risk investing is stimulating much pro and con debate in the financial community. Which assertions are valid, and which are not? In their February 2020 paper entitled “Fact and Fiction about Low-Risk Investing”, Ron Alquist, Andrea Frazzini, Antti Ilmanen and Lasse Pedersen identify five facts and five fictions about low-risk investing. They employ long-short U.S. stock portfolio strategies to illustrate relative performance of low-risk versus high-risk assets. They consider six statistical and four fundamental risk metrics, emphasizing differences between dollar-neutral and market-neutral strategy designs. Focusing on a few prominent low-risk metrics, they compare performances of low-risk strategies to those based on conventional size, value, profitability, investment and momentum factors. Using daily returns for U.S. stocks since January 1931 and firm fundamental data since January 1957, all through August 2019, they find that:

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