Microeconomics: Principles & Policy
14th Edition
ISBN: 9781337794992
Author: William J. Baumol, Alan S. Blinder, John L. Solow
Publisher: Cengage Learning
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Suppose you expect a stock to pay a dividend of $10 every year forever and the
discount rate is fixed at 5%.
(a) What would you expect the price of the stock to be if it were priced according
to its present value?
(b) What happens to the price of the stock if the discount rate falls to 2%?
(c) Now suppose you expect the dividend to grow by 1.5% every year, such that it will be $10.15 next vear. $10.30 the year after that, and so on. What are the new prices of the stock with 5% and 2% discount rates?
“If stock prices did not follow a random walk, therewould be unexploited profit opportunities in themarket.” Is this statement true, false, or uncertain?Explain your answer.
INV 1 5ai
Suppose that you have the following utility function:
U=E(r) – ½ Aσ2 and A=3
Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum.
You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows:
ETFUS :
E(r)= 0.070584
standard deviation = 0.173687
ETFCDA :
E(r)= 0.073763
standard deviation = 0.16816
Covariance between ETFUS and ETFCDA = 0.02397
What is the portfolio expected return for ETFUS?
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