The Three Factor Model of the Stock Market: The Fama-French
Three Factor model
Proponents of market efficiency divide risk into unsystematic
and systematic. Unsystematic risk is not priced by everyone
investing in the stock market. Here is an example to help you
understand unsystematic risk. If you are considering investing
in the stock market you could either buy specific stock in a
specific company that you think will have a rise in price in the
future. On the other hand if you don't trust your stock ability
you have the alternative of buying a basket of stocks that
mimics the stock markets total combined movement. One way would
to be to buy an indexed mutual fund like VFINX which is pegged
to the S&P 500 which is a very large stock market index. The
degree to which the stock moves relative to the general market
is the unsystematic risk of the stock.
Systematic risk is the degree to which the stock changes in
price relative to the general stock market as measured by an
index like the S&P 500. Model calls this measure a stocks
"beta." The Fama-French Three Factor Model is a regression
analysis that tries to separate out the systematic risk of a
stock from the unsystematic risk by compensating for three
factors. The first factor is a financial ratio called book to
market. The second factor is the size of the firm as measured by
its market capitalization. The third factor is the return on the
market portfolio.
The book to market ratio is nothing more than what accountants
estimate the company to by worth divided by the market
capitalization of the company. The market capitalization of the
company is the share price of the stock times the total number
of shares the company has outstanding in the stock market. The
return on the market portfolio is measured by some index like
the S&P 500.
According to the efficient market school (which I do not agree
with), size and book to market reflect systematic risk, meaning
risk that requires compensation in the form of higher expected
returns. If this is the case researchers should see that
investors perceive small-value stocks to be riskier than
large-growth stocks. The do see this which does lend some
support to market efficiency. But investors consistently expect
large-value stocks to outperform small-growth stocks and this is
perverse. Basically, investors recognize that small upcoming
companies are riskier but do not expect to be compensated for
this risk as the efficient market model says that they should.
In a similar fashion, analysts tend to recommend growth stocks
more favorably than they do value stocks. In the efficient
market model of which the capital asset model (CAPM) is a part
of, the profit from stock investing that investors expect should
be as much as the risk they perceive that they are taking
instead of the exact opposite which we find to be the case when
actual research is performed on the matter.
This result caused the death of CAPM beta that was treasured by
efficient market theorists despite the fact that the model
resulted in the awarding of a Nobel Prize in economics to
William Sharpe of Stanford University. Hirsh Shefrin has
suggested that a behavioral beta be introduced into the model
that might help explain these results that are contrary to
market efficiency.