Again consider the game: Firm B Action Low Price High Price Firm A Low Price 0,0 40,-30 High Price -30,40 10,10 O 50% O 100% O 25% O 33.3% The game is repeated but with a chance that the game will end after any given period. If the interest rate is zero, what is the maximimum chance the game ends after a given period where a trigger strategy can sustain collusion?
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- A manager is deciding whether to build a small or a large facility. Much depends on the future demand that thefacility must serve, and demand may be small or large. The manager knows with certainty the payoffs that willresult under each alternative, shown in the following payoff table. The payoffs (in $000) are the present values offuture revenues minus costs for each alternative in each event.What is the best choice if future demand will be low?Assume Person A is offered the following game: If they want to participate in the game, theywill need to pay £5. If they participate, they can choose between Option A and Option B.Option A consists of spinning a roulette wheel with 37 different numbers (18 red, 18 black,and 1 green). If the outcome is red, the participant receives £10 and £0 otherwise. Option B isa fair coin flip that yields £5 when heads comes up and £10 when tails comes up.(a) What is the expected value of Option A?(ii) What is the expected value of Option B?(iii) What is the expected value of participating in the game and choosingOption A?(iv) What is the expected value of participating in the game and choosingOption B?(v) How much would the game need to cost to make it a fair game when youchoose Option A?(vi) How much would the game need to cost to make it a fair game when youchoose Option B?(b) Person A chooses to participate in the above described game. Which of thefollowing options can be true regarding…i am not sure how to ask anther question after the expert answered one of mine but here is a question i asked the expert and the naswer he game me in picture 1 & 2. the questions insnt linked from other sites its from bartleby just coudlnt see option to ask anther. can you answer this part now: Now assume the financial advisor knows that another advisor will offer a competitive portfolio. Based on historical data, he knows this competitive portfolio’s total return follows a normal distribution with mean £36mil and standard deviation of £2mil and is priced at 5% of total return. Clients will naturally choose the advisor which offers the portfolio with the highest net How does the distribution of profit over the range of financial prices considered in part B) changes, when the competitor is considered?
- Risk-neutral Icarus Airlines must commit now to leasing 1, 2, or 3 new airplanes. It knows with certainty that on the basis of business travel alone, it will need at least 1 airplane. The marketing division says that there is a 50% chance that tourism will be big enough for a second plane only. Otherwise, tourism will be big enough for a third plane. This, plus revenue information, yields the following table: Planes Tourism Revenue Expected Leased Light Heavy Profit 2 $90 million $60 million $75 million 3 $10 million $110 million $60 million Without additional information, Icarus Airlines would Select one: A. lease 2 airplanes in order to guarantee it avoids the worst outcome, $10 million B. lease 3 airplanes because $110 million is greater than $90 million C. lease 2 airplanes because $75 million is greater than $60 million. D. lease 3 airplanes because $60 million is greater than $10 million.4.7 Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: Demand Staffing Options High Medium Low Own staff 650 650 600 Outside vendor 900 600 300 Combination 800 650 500 If the demand probabilities are 0.2, 0.5, and 0.3, and the table below shows the total cost of the different options, construct a risk profile for the optimal decision in the table. Option Total Cost Own Staff 635 Outside Vendor 570 Combination 635Suppose that instead Einar short sells 200 shares of German Power Weak Inc. at $40 each. NASDUCK now sets a margin requirement of 30%.(e) How much cash does Einar need to invest?(f) Calculate the margin call of NASDUCK if the price increases to $44.(g) Suppose the price falls to $25. How much cash can Einar take out from his margin account?(h) Suppose he takes out 50% of the amount in part (g). At what price threshold will Einar face a margin call by NASDUCK?
- You are evaluating the possibility that your company bids $150,000 for a particular construction job. (a) If a bid of $150,000 corresponds to a relative bid of 1.20, what is the dollar profit that your company would make from winning the job with this bid? Show your work. (b) Calculate an estimate of the expected profit of the bid of $150,000 for this job. Assume that, historically, 55 percent of the bids of an average bidder for this type of job would exceed the bid ratio of 1.20. Assume also that you are bidding against three other construction companies. Show your work.please very very urgent Given the utility function, U(X)=ln(X) where X > 0, with initial consumption C=30000. Calculate the risk premium for a fair game with a chance of loosing -20000 is 0.5? (Hint: Start with the "fair game" definition)4.25 The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature Low Demand Medium Demand High Demand Decision Alternative s1 s2 s3 Manufacture, d1 -20 40 100 Purchase, d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30. Use a decision tree to recommend a decision.Recommended decision: Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.EVPI: $
- You and a rival are engaged in a game in which there are three possible outcomes: you win, your rival wins (you lose), or the two of you tie. You get a payoff of 50 if you win, a payoff of 20 if you tie, and a payoff of 0 if you lose. What is your expected payoff in each of the following situations? (a) There is a 50% chance that the game ends in a tie, but only a 10% chance that you win. (There is thus a 40% chance that you lose.) (b) There is a 50–50 chance that you win or lose. There are no ties. (c) There is an 80% chance that you lose, a 10% chance that you win, and a 10% chance that you tie.Givenu(x)=x0.5 Lottery A Probability 0.50 0.25 0.25 Outcome 64 16 0 For automatic grading, give all numerical answers to exactly two decimal places. Do not include currency signs 1) What is the expected value? (Give the answer as 36.00, not 36) 2) What is the expected utility? 3) What is the certainty equivalent? (Number only) 4) What is the risk premium? 5) Would this person rather receive 20 for sure than play Lottery A? (Answer should be Y or N for auto-grading to work) 6) (Harder) In many applications of expected utility, it is possible to lose money. The usual way of handling this is to interpret utility in terms of final wealth. Suppose it costs money to play this lottery. If starting wealth is 100, calculate the expected utility of playing lottery A if the price of playing is 15. Your answer should be to two decimal places. (Note: calculating the certainty equivalent of the lottery would be a little different than we've done in class. Squaring your EU result would give…** Please be advsed that this is practice only from previous yeasr *** Answers: (a) There are no Nash equilibria.(b) There are two pure strategy Nash equilibra, one with (H,H) and another with (L,L), and no mixed strategy Nash equilibria.(c) There are two pure strategy Nash equilibra, one with (H,H) and another with (L,L), and one mixed strategy Nash equilibria with p = 1/2 and q = 1/2.(d) There are two pure strategy Nash equilibra, one with (H,H) and another with (L,L), and one mixed strategy Nash equilibria with p = 1/2 and q = 3/4.(e) There are two pure strategy Nash equilibra, one with (H,H) and another with (L,L), and one mixed strategy Nash equilibria with p = 3/4 and q = 1/2.