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“Flight to Quality”
Simulation of Investor Response
to US Stock Market Downturns
1926-2008
For illustrative purposes only.
Performance data shown represents past performance. Past performance is no guarantee of future results and current performance may be
higher or lower than the performance shown.
Introduction
A major stock market downturn is a painful experience, especially when stock•	
losses are extreme and prolonged.
Investors watch their wealth evaporate in plummeting stock values.•	
As market returns worsen, even disciplined, long-term investors are tempted to•	
cut their losses, go to cash, and wait for a rebound.
Since markets are pricing securities based on forward-looking expectations,•	
what returns would an investor receive by selling after experiencing negative
performance? How would this performance compare to simply staying invested
in the market?
Let’s find out.•	
We will simulate what happens to investors who give up on stocks at different
levels of negative performance in the market. The first step is to define the points
at which an investor will exit and re-enter the market, and then apply this rule to
actual market returns.
2
Defining the Rule
During a stock market downturn, investors may leave stocks for the perceived•	
safety of cash. This is called a “flight to quality.”
An exit and re-entry rule quantifies how much negative performance an investor•	
can endure before selling stocks—and at what percentage rebound the investor
is willing to buy stocks again.
To illustrate, let’s consider the following rule as one version of “flight-to-quality”•	
behavior:
Sell stocks once the market has declined 40% or more from its peak.1.	
Invest the idle cash in one-month T-bills.2.	 (1)
Buy stocks after the market has risen 40% or more from the bottom.3.	
Although this “flight rule” is arbitrary, it describes one version of investor•	
response to a market decline.
Now let’s apply the 40%-40% rule to US stock market performance since 1929.(2)
3
(1) The daily Treasury bill return is the simple daily rate that, over the number of trading days in the month, compounds to the one-month
T-bill rate. Source: US long-term bonds, bills, inflation, and fixed income factor data © Stocks, Bonds, Bills, and Inflation Yearbook™,
Ibbotson Associates, Chicago (annually updated work by Roger G. Ibbotson and Rex A. Sinquefield).
(2) US market performance is defined as daily returns in the CRSP value-weighted index of the S&P 500 Universe. Calculations reflect
annualized geometric returns. Returns do not consider trading costs.
Market Sample 1: Fleeing Stocks in a Downturn
S&P 500 (1929-1930)
$0.40
$0.50
$0.60
$0.70
$0.80
$0.90
$1.00
$1.10
$1.20
$1.30
7/1/29 8/1/29 9/1/29 10/1/29 11/1/29 12/1/29 1/1/30 2/1/30 3/1/30
- 42.8%
Data:	Daily	returns	to	the	CRSP	value-weighted	index	of	the	S&P	500	Universe:	July	1,	1929	-	November	13,	1929
SELL
Market Event:
On November 13, 1929, the
S&P was down 42.8% from
its peak on September 7.
Reaction:
Investors who were only
willing to bear a 40% loss
would have:
Sold stocks and bought•	
one-month T-bills.
Waited for the market•	
to recover at least 40%
before buying stocks
again.
4
Market Sample 1: Returning to Stocks
S&P 500 (1929-1930)
Within a few months, the S&P 500 rose over 40% from its trough. The investor•	
would have felt safe to enter the market again.
He would have sold one-month T-bills and repurchased the S&P 500 at a level•	
that was higher than the previous selling point—selling low and buying higher.
$0.40
$0.50
$0.60
$0.70
$0.80
$0.90
$1.00
$1.10
$1.20
$1.30
7/1/29 8/1/29 9/1/29 10/1/29 11/1/29 12/1/29 1/1/30 2/1/30 3/1/30 4/1/30 5/1/30 6/1/30
In Market
Out of Market
+ 41.2%
SELL
BUY
Data:	Daily	returns	to	the	CRSP	value-weighted	index	of	the	S&P	500	Universe:	July	1,	1929	-	June	30,	1930
5
40% Flight Rule Overview
S&P 500 (1926-2008)
During the 82-year period, a 40% or greater downturn would have forced an in-•	
vestor to exit and re-enter the market five times. (See numbered periods below)
In four of these periods, the investor would have re-entered the market at a price•	
above his last selling point—selling low and buying higher multiple times.
$0
$1
$10
$100
$1,000
$10,000
1926 1931 1936 1941 1946 1951 1956 1961 1966 1971 1976 1981 1986 1991 1996 2001 2006
Data:	Daily	returns	to	the	CRSP	value-weighted	portfolio	of	the	S&P500	Universe:	January	2,	1926	-	October	31,	2008 6
1
2 3
4
5
S&P 500 Index
Growth of $1 Invested
January 1926 through October 2008
40% Flight Rule Results
Stay in the Market vs. Flee the Market.
These are the same periods indicated on the previous growth of•	
$1 graph for the 82-year period.
A stay-in-the-market decision would have outperformed a flight-•	
to-quality decision in four of the five periods in which the market
dropped 40% or more.
Results do not include trading costs or tax impact.•	
Let’s summarize results for this rule and two others that attempt to
simulate investor behavior in major downturns.
7
Stay in the Market Flee Market
Sep 7, 1929 - Mar 29, 1930 -31.4% -62.0%
Apr 10, 1930 - Jul	29,	1932 -44.8% -19.3%
Mar 10, 1937 - Jul	1,	1938 -26.1% -33.5%
Jan	11,	1973 - Mar	17,	1975 -10.8% -20.1%
Sep 1, 2000 - Dec 1, 2003 -8.8% -14.3%
Annualized Return
Peak to Re-Entry
Periods
1
2
3
4
5
8
Multiple Flight Rule Results
A summary of 30%, 40%, and 50% market downturns:
Stay in the market vs. Flee the market.
This table shows results for three simulations (30%, 40%, and 50% exit/entry•	
triggers).
Events are displayed for the entire market period (1926-2008) and for a sub-period•	
(1950 to 2008).
Only the 50% exit/entry rule outperformed a stay-in-the-market approach for the•	
entire 1926-2008 period. However, this outperformance was due to a single major
market event in the 1930s.
Exit/Entry Geometric Number of % Time Geometric Number of % Time
Trigger Return Events Invested Return Events Invested
30% 9.13% 11 90% 10.48% 4 90%
40% 9.40% 5 94% 10.04% 2 94%
50% 10.08% 2 97% NA 0 100%
Stay in Market 9.53% 0 100% 10.99% 0 100%
Data:	Daily	returns	to	the	CRSP	value-weighted	index	of	the	S&P	500	Universe:	January	2,	1926	-	October	31,	2008.	Cash	
holdings earn the one-month Treasury bill rate.
01/1950-10/200801/1926-10/2008
Calculations reflect annualized geometric returns. Data: Daily returns to the CRSP value-weighted index of the S&P 500 Universe:
January 2, 1926 - October 31, 2008. Cash holdings earn the one-month Treasury bill rate.
9
Other Flight Rule Results
Additional market downturn simulations:
Stay in the market vs. Flee the market.
Exit Exit
Trigger 30% 40% 50% Trigger 30% 40% 50%
30% 9.10% 8.77% 8.49% 30% 10.48% 10.00% 9.54%
40% 9.12% 9.36% 9.68% 40% 10.31% 10.04% 9.81%
50% 9.47% 10.22% 10.04% 50% NA NA NA
Stay in Market 9.49% Stay in Market 10.99%
01/1926-10/2008
Entry Trigger
01/1950-10/2008
Entry Trigger
This chart features the results of other rule combinations to simulate investor reaction to
market downturns.
Does “Flight to Quality”
Work Over Time?
Investors who flee a market downturn are basing their decision on•	
past performance, even though the market is forward looking.
Attempting to avoid the pain of a declining market while participating•	
in a future recovery is a game of chance.
An investor who goes to the sidelines must decide when to re-enter•	
the market.
Returns are unpredictable and rebounds can come quickly. Investors•	
who sit out a downturn can miss a large portion of a sudden rebound.
Investors must accept higher risk to receive higher expected returns•	
from stocks.
10

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Flight to Quality

  • 1. “Flight to Quality” Simulation of Investor Response to US Stock Market Downturns 1926-2008 For illustrative purposes only. Performance data shown represents past performance. Past performance is no guarantee of future results and current performance may be higher or lower than the performance shown.
  • 2. Introduction A major stock market downturn is a painful experience, especially when stock• losses are extreme and prolonged. Investors watch their wealth evaporate in plummeting stock values.• As market returns worsen, even disciplined, long-term investors are tempted to• cut their losses, go to cash, and wait for a rebound. Since markets are pricing securities based on forward-looking expectations,• what returns would an investor receive by selling after experiencing negative performance? How would this performance compare to simply staying invested in the market? Let’s find out.• We will simulate what happens to investors who give up on stocks at different levels of negative performance in the market. The first step is to define the points at which an investor will exit and re-enter the market, and then apply this rule to actual market returns. 2
  • 3. Defining the Rule During a stock market downturn, investors may leave stocks for the perceived• safety of cash. This is called a “flight to quality.” An exit and re-entry rule quantifies how much negative performance an investor• can endure before selling stocks—and at what percentage rebound the investor is willing to buy stocks again. To illustrate, let’s consider the following rule as one version of “flight-to-quality”• behavior: Sell stocks once the market has declined 40% or more from its peak.1. Invest the idle cash in one-month T-bills.2. (1) Buy stocks after the market has risen 40% or more from the bottom.3. Although this “flight rule” is arbitrary, it describes one version of investor• response to a market decline. Now let’s apply the 40%-40% rule to US stock market performance since 1929.(2) 3 (1) The daily Treasury bill return is the simple daily rate that, over the number of trading days in the month, compounds to the one-month T-bill rate. Source: US long-term bonds, bills, inflation, and fixed income factor data © Stocks, Bonds, Bills, and Inflation Yearbook™, Ibbotson Associates, Chicago (annually updated work by Roger G. Ibbotson and Rex A. Sinquefield). (2) US market performance is defined as daily returns in the CRSP value-weighted index of the S&P 500 Universe. Calculations reflect annualized geometric returns. Returns do not consider trading costs.
  • 4. Market Sample 1: Fleeing Stocks in a Downturn S&P 500 (1929-1930) $0.40 $0.50 $0.60 $0.70 $0.80 $0.90 $1.00 $1.10 $1.20 $1.30 7/1/29 8/1/29 9/1/29 10/1/29 11/1/29 12/1/29 1/1/30 2/1/30 3/1/30 - 42.8% Data: Daily returns to the CRSP value-weighted index of the S&P 500 Universe: July 1, 1929 - November 13, 1929 SELL Market Event: On November 13, 1929, the S&P was down 42.8% from its peak on September 7. Reaction: Investors who were only willing to bear a 40% loss would have: Sold stocks and bought• one-month T-bills. Waited for the market• to recover at least 40% before buying stocks again. 4
  • 5. Market Sample 1: Returning to Stocks S&P 500 (1929-1930) Within a few months, the S&P 500 rose over 40% from its trough. The investor• would have felt safe to enter the market again. He would have sold one-month T-bills and repurchased the S&P 500 at a level• that was higher than the previous selling point—selling low and buying higher. $0.40 $0.50 $0.60 $0.70 $0.80 $0.90 $1.00 $1.10 $1.20 $1.30 7/1/29 8/1/29 9/1/29 10/1/29 11/1/29 12/1/29 1/1/30 2/1/30 3/1/30 4/1/30 5/1/30 6/1/30 In Market Out of Market + 41.2% SELL BUY Data: Daily returns to the CRSP value-weighted index of the S&P 500 Universe: July 1, 1929 - June 30, 1930 5
  • 6. 40% Flight Rule Overview S&P 500 (1926-2008) During the 82-year period, a 40% or greater downturn would have forced an in-• vestor to exit and re-enter the market five times. (See numbered periods below) In four of these periods, the investor would have re-entered the market at a price• above his last selling point—selling low and buying higher multiple times. $0 $1 $10 $100 $1,000 $10,000 1926 1931 1936 1941 1946 1951 1956 1961 1966 1971 1976 1981 1986 1991 1996 2001 2006 Data: Daily returns to the CRSP value-weighted portfolio of the S&P500 Universe: January 2, 1926 - October 31, 2008 6 1 2 3 4 5 S&P 500 Index Growth of $1 Invested January 1926 through October 2008
  • 7. 40% Flight Rule Results Stay in the Market vs. Flee the Market. These are the same periods indicated on the previous growth of• $1 graph for the 82-year period. A stay-in-the-market decision would have outperformed a flight-• to-quality decision in four of the five periods in which the market dropped 40% or more. Results do not include trading costs or tax impact.• Let’s summarize results for this rule and two others that attempt to simulate investor behavior in major downturns. 7 Stay in the Market Flee Market Sep 7, 1929 - Mar 29, 1930 -31.4% -62.0% Apr 10, 1930 - Jul 29, 1932 -44.8% -19.3% Mar 10, 1937 - Jul 1, 1938 -26.1% -33.5% Jan 11, 1973 - Mar 17, 1975 -10.8% -20.1% Sep 1, 2000 - Dec 1, 2003 -8.8% -14.3% Annualized Return Peak to Re-Entry Periods 1 2 3 4 5
  • 8. 8 Multiple Flight Rule Results A summary of 30%, 40%, and 50% market downturns: Stay in the market vs. Flee the market. This table shows results for three simulations (30%, 40%, and 50% exit/entry• triggers). Events are displayed for the entire market period (1926-2008) and for a sub-period• (1950 to 2008). Only the 50% exit/entry rule outperformed a stay-in-the-market approach for the• entire 1926-2008 period. However, this outperformance was due to a single major market event in the 1930s. Exit/Entry Geometric Number of % Time Geometric Number of % Time Trigger Return Events Invested Return Events Invested 30% 9.13% 11 90% 10.48% 4 90% 40% 9.40% 5 94% 10.04% 2 94% 50% 10.08% 2 97% NA 0 100% Stay in Market 9.53% 0 100% 10.99% 0 100% Data: Daily returns to the CRSP value-weighted index of the S&P 500 Universe: January 2, 1926 - October 31, 2008. Cash holdings earn the one-month Treasury bill rate. 01/1950-10/200801/1926-10/2008
  • 9. Calculations reflect annualized geometric returns. Data: Daily returns to the CRSP value-weighted index of the S&P 500 Universe: January 2, 1926 - October 31, 2008. Cash holdings earn the one-month Treasury bill rate. 9 Other Flight Rule Results Additional market downturn simulations: Stay in the market vs. Flee the market. Exit Exit Trigger 30% 40% 50% Trigger 30% 40% 50% 30% 9.10% 8.77% 8.49% 30% 10.48% 10.00% 9.54% 40% 9.12% 9.36% 9.68% 40% 10.31% 10.04% 9.81% 50% 9.47% 10.22% 10.04% 50% NA NA NA Stay in Market 9.49% Stay in Market 10.99% 01/1926-10/2008 Entry Trigger 01/1950-10/2008 Entry Trigger This chart features the results of other rule combinations to simulate investor reaction to market downturns.
  • 10. Does “Flight to Quality” Work Over Time? Investors who flee a market downturn are basing their decision on• past performance, even though the market is forward looking. Attempting to avoid the pain of a declining market while participating• in a future recovery is a game of chance. An investor who goes to the sidelines must decide when to re-enter• the market. Returns are unpredictable and rebounds can come quickly. Investors• who sit out a downturn can miss a large portion of a sudden rebound. Investors must accept higher risk to receive higher expected returns• from stocks. 10