Notes
Slide Show
Outline
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Stock Volatility:
Past, Present & Future
  • G. William Schwert


  • Simon School Alumni Council
  • October 17, 2008
  • (Data updated through 10/14/2008)
  • http://schwert.ssb.rochester.edu/volatility_2008.htm
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What is market volatility?
  • Standard deviation of rates of return to broad market indexes
    • Following plots show:
      • Changes in Dow Jones Industrial Average from 1893-2008
        • Affected by growth in the level of the index
      • Percent changes in DJIA (rates of return, ignoring dividends) from 1893-2008
      • Rolling annualized standard deviations of rates of return to DJIA from 1893-2008
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Looking at the Absolute Scale of Stock Indexes is Very Misleading . . .
  • The sixty largest changes in the DJIA have been within the last 11 years
    • The only exception among these sixty days is Oct 19, 1987
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Looking at the Percent Change of Stock Indexes is Relevant . . .
  • This measures the rate of return on the investment
    • i.e., how many more dollars you would have at the end of the day if you invested $100 at the beginning of the day
  • The sixty largest percent changes in the DJIA (or the S&P 500) have been before the last 10 years
    • The only exceptions among these sixty days are in 1997, 1998, after 9/11/2001, in 2002, and three times recently
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How to Lie with Statistics . . .
 - Focus on very recent history
  • Newspapers often focus on the last few years in discussing current conditions
    • On this basis, people would think stock volatility is very high in recent months . . .
    • This is incredibly misleading when viewed from the perspective on the longer history we have available to us
    • Compare the plots of rolling standard deviations from 2004-2008 versus the plot from 1893-2008 . . .
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Stylized Facts/Questions
  • Market-level volatility has been remarkably stable over time
    • Data back to 1802, covers many wars, financial crises, depressions/recessions
    • Also, major changes in the composition of the US economy
      • Mainly banks, insurance companies, canals in early 1800s
      • Railroads started being important after 1834
      • Great Depression is the most notable period of prolonged high volatility


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Implied Volatility: S&P vs. Nasdaq
  • Next figure shows the implied volatility series published by CBOE with ticker symbols VIX (S&P) and VXN (Nasdaq)
    • VXN is much higher, especially in 2000-2002
    • These measures represent forecasts of future volatility (covering the span of the underlying index options, usually about a month)
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Recent Issues: Nasdaq Bubble?
  • 2000-2002 was a period of high volatility for Nasdaq/technology stocks
    • This seems to have returned to more normal levels in the last couple of years
    • It turns out that the high volatility was primarily in technology stocks, independent of firm size, exchange listing, or age of the firm
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Technology Portfolios
  • Next figure shows historical volatility for:
    • S&P Technology portfolio, Nasdaq Computer, Biotech, and Telecom, and the CBOE Technology portfolios
      • They all move together, increasing substantially since mid-1998
      • Decreasing in 2003
      • Not increasing as much lately


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Is It the IPO Market?
  • Next figure shows the number of IPO's per month and the average initial return to IPO investors
    • Initial returns (underpricing) were very high from early 1999 through mid-2000
    • Volatility of IPO returns is usually very high when average returns are also high
      • Some periods/types of deals are very hard to price accurately!
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Foreign Markets – FTSE (UK)
  • Volatility now is similar to late 90’s early 2000’s, and similar to US levels
  • Also similar to 1973-74 (first OPEC crisis)
  • Exchange rate volatility is higher recently, but small compared with stock volatility
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Summary
  • Market-level volatility often rises after prices fall
    • Recent relatively good performance of the market is consistent with the lower levels of volatility [pro-cyclical]
    • Inflation of Index levels exaggerate perceptions of increased volatility
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Should Someone Try to Lower Volatility?  If So, How?
  • Margin requirements?
  • Regulation of trading?
  • Taxes on Trading?
    • STTs


  • These all seem like bad ideas