and Bud would pay $50. The investor with the lowest perceived risk is willing to
Chapter 13 The Stock Market
313
pay the most for the stock. If there were no other traders, the market price would
be just above $22.22. If you already held the stock, you would sell it to Bud.
The point of this section is that the players in the market, bidding against each
other, establish the market price. When new information is released about a firm, expec-
tations change, and with them, prices change. New information can cause changes in
expectations about the level of future dividends or the risk of those dividends. Since
market participants are constantly receiving new information and constantly revising
their expectations, it is reasonable that stock prices are constantly changing as well.
Errors in Valuation
In this chapter we learned about several asset valuation models. An interesting exer-
cise is to apply these models to real firms. Students who do this find that computed
stock prices do not match market prices much of the time. Students often question
whether the models are wrong or incomplete or whether they are simply being used
incorrectly. There are many opportunities for errors in applying the models. These
include problems estimating growth, estimating risk, and forecasting dividends.
Problems with Estimating Growth
The constant growth model requires the analyst to estimate the constant rate of
growth the firm will experience. You may estimate future growth by computing the
historical growth rate in dividends, sales, or net profits. This approach fails to con-
sider any changes in the firm or economy that may affect the growth rate. Robert
Haugen, a professor of finance at the University of California, writes in his book, The
New Finance, that competition will prevent high-growth firms from being able to
maintain their historical growth rate. He demonstrates that, despite this, the stock
prices of historically high-growth firms tend to reflect a continuation of the high
growth rate. The result is that investors in these firms receive lower returns than
they would by investing in mature firms. This just points out that even the experts
have trouble estimating future growth rates. Table 13.1 shows the stock price for
a firm with a 15% required return, a $2 dividend, and a range of different growth
rates. The stock price varies from $14.43 at 1% growth to $228 at 14% growth rate.
Estimating growth at 13% instead of 12% results in a $38.33 price difference.
TA B L E 1 3 . 1
Stock Prices for a Security with
D
0
= $2.00,
k
e
= 15%, and
Constant Growth Rates as Listed
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