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Eric Falkenstein
Tests are of any theory the framework allows
There are an infinite number of theories allowed
Framework is untestable
ri rf m rm rf size rsmall rbig value rvalue rgrowth
Brealey and Myers Investments Book
Return
Volatility
17.30%
33.4%
Stocks
13%
20.2%
Corporate Bonds
6.0%
8.7%
Government Bonds
5.70%
9.4%
T-bills
3.90%
3.2%
Small Stocks
My Dissertation (1994) page 53
Theory that some liked volatility not an equilibrium
theory
Pre ‘behavioral finance’ popularity
No fancy empirical test (didn’t use GMM)
Makes no sense—arbitrage
[I took equity risk premium as given]
Theory more important than data
Burned by calendar effects
Ang,, Hodrick, Xing and Zhang (JoF 2009)
1980-2003
Use Fama French Model
ri rf m rm rf size rsmall rbig value rvalue rgrowth
Beta-Low
Beta0.5
Beta1.0
AnnRet
10.8%
11.4%
11.4%
8.2%
4.5%
AnnStdev
13.1%
11.6%
17.4%
26.2%
33.9%
0.57
0.57
1.04
1.44
1.78
Beta
Beta1.5 Beta-High
Sophie Ni (2007)
Return from Bid-Ask midpoint to expiration
-36%??
Moskowitz, and Vissing-Jorgensen (2002)
Penman, Richardson, and Tuna. 2007
Expected
Returns
Theory
rE
rD
Debt/Equity
Beta and Returns Unremarkable
Russ Wermers JoF 2000 piece (persistence, turnover)
Burton Malkiel JoF 1995 piece (persistence, alpha)
Carhart JoF 1997 (persistence, momentum)
Beta irrelevant
The biggest criticism is not adverse statements, but
neglect
rAUD ryen % change in yen+riskprem?
% change in currency unpredictable
Return in AUD=Return in Yen+Appreciation in
Yen/AUD
5.5% 0.3% 5.2%
5.5% 0.3% 1.4%
1990-2008 Dollar Annualized Returns, Standard Deviations
Morgan Stanley Capital International (MSCI)
MSCI Emerging Markets Index: 7.3%, 35%
MSCI World (Developed) Index: 4.4%, 19%
Dimson, Marsh, Staunton (2005)
17 Countries, 1900-2005, Annual Data
No Return Premium to High Yield Bonds over
Investment Grade
Merrill High Yield Master II (HOAO) Merrill BBB-AA
Index (COCO)
20 HY Funds, 12 IG funds
1% premium from 0.25 to 3 years
No premium from 5 to 30 years
Volatility, Covariance, increasing linearly
Futures return from roll
Harvey and Erb (2007) copper, heating oil, and live
cattle were on average in backwardization,
corn, wheat, silver, gold, and coffee were in contango
What covariance, volatility has to do with this ???
Campbell, Hilscher, and Szilagyi (2006) Find high
distress firms have lower returns
Source: Author. Data from Moody’s, S&P, Compustat
Longshot bias
Horse Track:
1-10 odd horses 3% average return on investment
100-1 odd horses have -86% average return
Bias not there in smaller odds, as in baseball
Devany and Walls (1999), 2015 movies from 1984-96
Steve Sharpe and Gene Amromin (2005). People have
higher expected returns when they have lower
expected volatilities
Most studies find no positive aggregate
volatility/return correlation over time
E rm rf a m2 b mf
a, b 0
IPO has a lot of Uncertainty
Jay Ritter (see his website). 1980-2008.
IPO Returns -3.7% annually below size-matched firms
for first 5 years
Deither, Malloy, and Scherbina (2002). Table 2. Data
from 1983-2000.
Data ‘strongly reject the interpretation of dispersion
in analysts’ forecasts as a measure of risk’
Turnover of stock a proxy for disagreement
Highly correlated with beta
Equity
Beta
Volatility
Equity options
Distressed stock returns
Analyst Disagreement
Trading Volume
IPOs
Leverage and stock returns
Lotteries
Horse racing
Equity
Over time
Across Countries
BBB to B bond returns
Futures
Currencies
Private Investments
Movies
Mutual Funds
Low Odds Sport Bets
Initial story was about total volatility
Total volatility flat or negatively correlated with return
Beta flat or negatively correlated with return
unrelated to risk.
Volatility, Beta Uncorrelated, negatively correlated,
with ‘true’ betas ???