On June 1, you win $1 million in a lottery and imme- diately acquire numerous "friends," one of whom offers you the deal of a lifetime. In return for the milion, she'll pay you a cent today, two cents tomorrow, four cents the next day, eight cents the next, and so on, stopping with the last payment on June 21.
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- Why might it be difficult for a buyer and seller to agree on a price when imperfect information exists?As and example of a possible investment restriction, an insurer mah only be allowed to invest up to 20 percent of its assets in common stock. What penalty is imposed upon the insurer that invests 30 percent of available assets in common stock?A. The additional 10 percent must be disposed of by year endB. The state regulators would impose a 10 percent fine on the insurer.C. The additional 10 percent would be a nonadmitted asset.D. The additional 10 percent would only be listed at cost.64. (This problem assumes knowledge of the basic rulesof baseball.) George Lindsey (1959) looked at boxscores of more than 1000 baseball games and foundthe expected number of runs scored in an inning foreach on-base and out situation to be as listed in the fileP09_64.xlsx. For example, if a team has a man on firstbase with one out, it scores 0.5 run on average untilthe end of the inning. You can assume throughout thisproblem that the team batting wants to maximize theexpected number of runs scored in the inning.a. Use this data to explain why, in most cases,bunting with a man on first base and no outs isa bad decision. In what situation might buntingwith a man on first base and no outs be a gooddecision?b. Assume there is a man on first base with one out.What probability of stealing second makes an attempted steal a good idea?
- 8. Two states, A and B, have signed an arms-control agreement. This agreementcommits them to refrain from building certain types of weapons. The agreement is supposed tohold for an indefinite length of time. However, A and B remain potential enemies who wouldprefer to be able to cheat and build more weapons than the other. The payoff table for A (player1, the row player) and B (player 2, the column player) in each period after signing thisagreement is below. a) First assume that each state uses Tit-for-Tat (TFT) as a strategy in this repeated game.The rate of return is r. For what values of r would it be worth it for player A to cheat bybuilding additional weapons just once against TFT? b) For what values of r would it be worth deviating from the agreement forever to buildweapons? c) Convert both values you found in parts a and b to the equivalent discount factor dusing the formula given in lecture and section. d) Use the answers you find to discuss the relationship between d and r:…V4. Assume there are only two oil producing countries in the world, C1 and C2. Each can export either 2 million or 4 million barrels of oil. If a total of 4 million barrels of oil are exported (both countries combined) then each barrel sells at $25. If there are 6 million barrels exported between them, each barrel sells at $15 and if there are 8 million barrels exported between them, then each barrel sells at $10. a) Write the “pay-off” matrix/table (i.e., the table or matrix indicating the strategies for each country, i.e., the amount of barrels they export and the revenue they make). b) Determine the Nash equilibrium for the game. c) Is there a strategy that results in larger revenue for both the countries? If so, which is that? d) For what wegitage for future payoff, δ, will both countries agree to use the strategy that benefits both of them, better?4. Farmer Jones and Farmer MacDonald graze their cattle on the same field. If there are 20 cows grazing in the field, each cow produces $4 000 of milk over its lifetime. If there are more cows in the field, then each cow can eat less grass, and its milk production falls. With 30 cows on the field, each produces $3 000 of milk; with 40 cows, each produces $2 000 of milk. Cows cost $1 000 apiece.(a) Assume that Farmer Jones and Farmer McDonald can each purchase either 10 or 20 cows, but that neither knows how many the other is buying when she makes her purchase. Calculate the pay-offs of each outcome.(b) What is the likely outcome of this game? What would be the best outcome? Explain.(c) There used to be more common fields than there are today. Why?
- 3.Suppose that you observed the following set of data: Average Business School tuition: $30,000 Average Salary for non-MBA’s: $50,000 per year Average MBA salary: $90,000 per year. The length of an MBA program is 2 years and is assumed that and MBA will have a working career of 20 years after graduation. Further, suppose that, instead of going to get an MBA,2you could keep your current non-MBA job and invest what you could have used to pay for tuition, risk free, at 4% per year.SHOW ALL YOUR WORKING.a) Is this set of data consistent with market equilibrium? Explain.b) If your answer to (a) is no, how will markets adjust?5 2.Asymmetric Information. Now let’s examine the impact of asymmetric information on thecreditmarket equilibrium. Specifically, in this question we assume that Anderson is not able toobserveor enforce the project that the borrower chooses. As a result, the loan contract can onlyspecifythe interest rate (not the project). Everything else remains as in problem 1.a.What type of asymmetric information problem does Anderson face? Write a shortexplanation justifying your answer.When company executives buy and sell stock basedon private information they obtain as part of theirjobs, they arc engaged in insider lmding.:t Give an example of inside information that mi~;htbe useful for buying or selling stock.h. "rho,::,.. who trnriP "'tnrh hMM nn in"irlPinformation usuaUy cam very high rates ofreturn. Docs this fact violate the efficient marketshypothesis?c. Insider trading is illegal. Why do you supposethat is?
- # 4 Consider an individual with a utility function of the form u(w) = √w. The individual has an initial wealth of $4. He has two investments options available to him. He can eitffer keep his wealth in an interest-free account or he can take part in a particularly generous lottery that provides $12 with probability of 1/2 and $0 with probability 1/2. Assume that this person does not have to incur a cost if he decides to take part in the lottery. (a) Will this individual participate in the lottery? (b) Calculate this individual's certainty equivalent associated with the lottery. What is his risk premium?1. Write down the behavioral trap that is more likely to occur in each of the following case and Justify your answer a) While investing her money on share market, Mila filters out the information that contradicts her original idea about some particular share. b) Lee attributes successful outcomes to her own actions and bad outcomes to external factors. c) Paul continues to invest in Aqua Company’s share despite its persistent negative return. d) Sifa buys only those shares that has a consistent upward trend of returns. e) Fariha suggests her friend Samia to invest on ABC Company’s share as she foresees higher return from it. f) Sunny sells a profitable Beximco share today that earned him positive return.4. Ted Baxter runs a small, very stable newspaper company insouthern Oregon. The paper has been in business for 25 years.The total value of the firm’s capital stock is $1 million, which Tedowns outright. This year the firm earned a total of $250,000after out-of-pocket expenses. Without taking the opportunitycost of capital into account, this means that Ted is earning a25 percent return on his capital. Suppose that risk-free bondsare currently paying a rate of 10 percent to those who buy them.d. How much excess profit is Ted earning?