只有我一个博士生在准备考finance field qualifier,无比茫然。找了点旧题练习,
准备了回答如下。先做了关于EQUITY PREMIUM PUZZLE。
但是不知道答题标准。怎样才算‘博士水平’的回答。考试时,6-7道题,3个小时,平
均一道题只有20多分钟回答。
请高手指点, 同学交流.。
Question 1:
(1) What is Equity Premium Puzzle? Implication? Further research
suggestion?
(2) if predict that the recent equity premium will be smaller, what is the
implication? What’s your advice for investors?
Answer:
Equity Premium Puzzle ( Mehra, Prescott, 1985)
In a representative agent setting, Mehra and Prescott (1985) use a variant
of Lucas’ (1978) pure exchange model. They show that, for reasonable values
of the discount factor and the coefficient of relative risk aversion, the
implied equity premium is too low when the model is calibrated to reflect
historically observed aggregate consumption growth rates.’ It is customary
to refer to this enigma as the equity premium ‘puzzle’.
Implication of Equity Premium Puzzle
1) Investors have overestimated their risk aversion. Long-term investors
may increase the weight of stock in their portfolio.
2) Compensation for risk-taking: security may not be as risk as people
think. Stock-investors are overpaid and bond-investors are underpaid in long
term.
3) Intertemporal substitution of consumption: The simulated premium being
so small implies that the households don’t mind holding risky equity
relative to risk-less bonds. This means that variations in Ct due to changes
in dt do not reduce utility that much. Therefore, consumption smoothing
motive implied by time separable preferences is relatively small(Wang 2002).
Further research suggestions:
To simultaneously rationalizes both historically observed large average
equity return and the small average risk-free return, Mehra and Prescott (
1985) suggested non-Arrow-Debreu economy models :
1) heterogeneity of agents (Constantinides,1982);
2)non-time additivity separable preference, eg, non-expected utility
function in Epstein& Zin (1991);
3)Incomplete market for intertemporal trades among agents.
Q: If predict that the recent equity premium will be smaller, what is the
implication? What’s your advice for investors?
Implication:
1)The business condition is expected to be good and the
business risk is estimated to be small ( Fama & French (1989) ).
2) The market is efficient and is correcting the too-large equity premium
when many
investors bid up the stock price to capture the large equity premium.
3)
Given the same starting amount and allocation ratio, investors will receive
smaller return than the historical record. (Dividend Constant Growth Model
: Stock Price = Div/(required return – growth rate))
Advice:
If this smaller equity premium is temporary, since the current stock market
is over-priced, a current stock holder may sell part of their stock and
increase the weight of risk-free asset. For an investor considering to enter
the market, he can wait until the over-pricing is corrected and the equity
premium is back to the expected level.
If the smaller premium is expected to be permanent, long term investors
planning for retirement need save more to invest if they hope to have the
same fund available.
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