Suppose you won the lottery and had two options: (1) receiving $0.8 million or (2) taking a gamble in which, at the flip of a coin, you receive $1.6 million if a head comes up but receive zero if a tail comes up. What is the expected value of the gamble? Enter your answer in millions. For example, an answer of $500,000 should be entered as 0.5. Round your answer to one decimal place. $ million Would you take the sure $0.8 million or the gamble? If you chose the sure $0.8 million, would that indicate that you are a risk averter or a risk seeker?
Suppose you won the lottery and had two options: (1) receiving $0.8 million or (2) taking a gamble in which, at the flip of a coin, you receive $1.6 million if a head comes up but receive zero if a tail comes up. What is the expected value of the gamble? Enter your answer in millions. For example, an answer of $500,000 should be entered as 0.5. Round your answer to one decimal place. $ million Would you take the sure $0.8 million or the gamble? If you chose the sure $0.8 million, would that indicate that you are a risk averter or a risk seeker?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Suppose you won the lottery and had two options: (1) receiving $0.8 million or (2) taking a gamble in which, at the flip of a coin, you receive $1.6 million if a head comes up but receive zero if a tail comes up.
- What is the expected value of the gamble? Enter your answer in millions. For example, an answer of $500,000 should be entered as 0.5. Round your answer to one decimal place.
$ million
- Would you take the sure $0.8 million or the gamble?
- If you chose the sure $0.8 million, would that indicate that you are a risk averter or a risk seeker?
- Suppose the payoff was actually $0.8 million - that was the only choice. You now face the choice of investing it in a U.S. Treasury bond that will return $856,000 at the end of a year or a common stock that has a 50-50 chance of being worthless or worth $1,920,000 at the end of the year.
- The expected profit on the T-bond investment is $56,000. What is the expected dollar profit on the stock investment? Round your answer to the nearest dollar.
$
- The expected
rate of return on the T-bond investment is 7%. What is the expected rate of return on the stock investment? Round your answer to the nearest whole number.%
- Would you invest in the bond or stock?
- Exactly how large would the expected profit (or the expected rate of return) have to be on the stock investment to make you invest in the stock, given the 7% return on the bond? Round your answer to the nearest whole number. If no exact answer can be obtained, enter 0.
%
- How might your decision be affected if, rather than buying one stock for $0.8 million, you could construct a portfolio consisting of 100 stocks with $8,000 invested in each? Each of these stocks has the same return characteristics as the one stock - that is, a 50-50 chance of being worth zero or $19,200 at year-end.
- Investing in a portfolio of stocks would definitely be a deterioration over investing in the single stock.
- Investing in a portfolio of stocks would definitely be an improvement over investing in the single stock.
- The situation would be unchanged.
Would the correlation between returns on these stocks matter?
- The expected profit on the T-bond investment is $56,000. What is the expected dollar profit on the stock investment? Round your answer to the nearest dollar.
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