Prospect Y - ($20, 0.5; $40, 0.5) Justin values Prospect Y at $25 (so, for Justin, CE(Y) - $25) Prospect Z = ($15, 0.5; $45, 0.5) Which of the following statements is true? For Justin, EV(Y) > EVZ) O For Justin, CE(Z) < $25 O For Justin, U(EV(Y) > U(EV(Z) O The information provided by this problem is not sufficient to determine whether Justin is Risk Averse or RIsk Loving.
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- You are considering a $500,000 investment in the fast-food industry and have narrowed your choice to either a McDonald's or a Penn Station East Coast Subs franchise. McDonald's indicates that, based on the location where you are proposing to open a new restaurant, there is a 25 percent probability that aggregate 10-year profits (net of the initial investment) will be $16 million, a 50 percent probability that profits will be $8 million, and a 25 percent probability that profits will be -$1.6 million. The aggregate 10-year profit projections (net of the initial investment) for a Penn Station East Coast Subs franchise is $48 million with a 2.5 percent probability, $8 million with a 95 percent probability, and -$48 million with a 2.5 percent probability. Considering both the risk and expected profitability of these two investment opportunities, which is the better investment? Explain carefully.Amy must decide whether or not to make an investment that costs 1. The investment pays a return of 5, but is risky to Amy because Bill must be given charge of the asset if it is to be productive. If Amy invests, then Bill must decide whether to keep the entire return for himself, or to split the return, giving 3 to Amy and keeping 2 for himself. (Amy pays the cost 1 even if Bill does not pay her back.) If Amy does not invest, then both players get 0. This is called a trust game because Amy wants to invest only if she trusts Bill to pay her back. (a) Model this as an extensive-form game (b) What is the strategic-form corresponding to your extensive-form? (c) Find all of the Nash equilibria. Which are the subgame-perfect?True or False Alexis makes an oral promise to Roberto that she will prepare a 4-course meal for twenty people, for $800 total, and bring it over to Roberto’s house at 5 pm Saturday October 17, 2020, just before Roberto’s party (it begins at 6 pm). Roberto orally promises to pay Alexis $400 on Thursday, October 15, and the balance of $400 one week later - on Thursday, October 22. These oral promises are binding on both sides as a contract.
- You are provided five quarters of sales (Q1 = $2,500, Q2 = $2,100, Q3 = $1,900, Q4 = $2,000, and Q5 = $2,300). The moving average for those 5 quarters of sales would be? Multiple Choice $2,160 $2,300 $2,150 $2,000Tasha is planning to invest in a farming project in 2022, but has a reservation given the different forecast (declined (D),the average (A) and takeoff (T)of the economy. She uses the following to guide her decision making. (i) there is 25% chance she will invest if there is a forecast of declined (ii) there is a 75% chance she will invest if there is a forecast of average growth and (iii) there is a 55% chance of investing if there is a forecast that economy will takeoff. Tashanna believes that for 2022 there is a 20% chance of decline and a 40% chance of average growth and a 40% chance the economy will take off. Based on these probabilities what is the chance that Tattiana will invest in the farming project if the stated forecast hold?I am in possession of two coins. One is fair so that it lands heads (H) and tails (T) with equal probability while the other coin is weighted so that it always lands H. Both coins are magical: if either is flipped and lands H then a $1 bill appears in your wallet, but when it lands T nothing happens. You may only flip a coin once per period. The interest rate is i per period. You are risk-neutral and thus only concern yourself with expected values (and not variance). For simplicity, in the questions below assume you will live forever. Suppose now that I also do not know which coin is fair and which is weighted. You pick one of the two coins at random. (a) What is your willingness to pay for this coin? (b) What is your willingness to pay for an option* to purchase the coin, where the option works as follows: you may flip the coin once and observe the outcome. Then, if you wish, you may purchase the coin from me for the amount you determined in part 4(a). *The owner of an option has…
- I am in possession of two coins. One is fair so that it lands heads (H) and tails (T) with equal probability while the other coin is weighted so that it always lands H. Both coins are magical: if either is flipped and lands H then a $1 bill appears in your wallet, but when it lands T nothing happens. You may only flip a coin once per period. The interest rate is i per period. You are risk-neutral and thus only concern yourself with expected values (and not variance). For simplicity, in the questions below assume you will live forever. 1. How much are you willing to pay for such a coin that you know is fair? 2. How much are you willing to pay for such a coin that you know is weighted? 3. I currently own the coins and know which is fair and which is weighted, but you cannot tell which is which. You may make an offer to purchase a coin of your choosing, which I am free to accept or reject. What is the most you are willing to offer? Explain how you arrived at this answer. 4. Suppose now…Lukas is a risk-averse farmer. He grows barley on his 1000 acre farm. In a typical year his farm yields 100 bushels of barley per acre. However, in a wet season, the farm only yields 40 bushels per acre. The probability of a typical season is 0.8 and of a wet season is 0.2. Regardless of the productivity of his farm, he expects to earn $3 per bushel (net of all costs of farming). Assume that Lukas has no other income. Write an expression for Lukas's expected utility.Ebony Reigns owns a studio that would cost ¢ 120,000 to replace should it ever be destroyed by fire. There is a 25% chance that the studio could be destroyed by fire during the course of the year. If the fire occurs, Ebony Reign's studio will be worth only ¢ 60,000. An insurance company has offered Ebony a false insurance policy that requires her to pay a yearly premium of ¢ 15,000 in the good state of nature (no fire) Ebony has fully insured her studio to eliminate the risk. Assuming that Ebony Reigns is risk averse has another wealth answer the following questions: A) Calculate the variance of the value of Ebony's studio with fair insurance. B) Is Ebony better off with the fair insurance ? Why ?
- Buying and selling prices for risky investments obviously are related to certain equivalents. This problem, however, shows that the prices depend on exactly what is owned in the first place. Suppose that your utility for wealth (A) can be represented by the utility function u(A) = In [(A)] You currently have R1000 in cash. A business deal of interest to you yields a reward of R100 with probability 0,5 and RO with probability 0,5. 2.1 If you own this business deal in addition to the R1000, what is the smallest amount for which you would sell the deal? 2.2 Suppose you do not own the deal. Formulate an appropriate equation and solve with algebra to find the largest amount you would be willing to pay for the deal. 2.3 Explain why the amounts in 2.1 and 2.2 are slightly different.You are a hotel manager and you are considering four projects that yield different payoffs, depending upon whether there is an economic boom or a recession. The potential payoffs and corresponding payoffs are summarized in the accompanying table. Recession (50%) -$ 10 $ 20 -$ 30 $ 50 Boom (50%) $ 20 Project A B -$ 10 $ 30 $ 50 If a manager adopted both projects A and B simultaneously, the varlance in returns assoclated with this joint project would be Multiple Choice 0. 10. 30. 50.Marke is 22 years old, and has just been offered a job as manager of a clothing store in a nearby mall. Mark is confident he can make a profit for several reasons. He has always been interested in fashion and knows what clothes are popular. He paid his way through college by working at several small stores, and thus picked up practical experience. In addition, Mark studied buying and selling in school. His business courses taught him the basic techniques for running stores profitably. If the store makes enough profit, Mark is sure he will get a large bonus at the end of the year. Basic Economic Questions From what you have read, fill in the chart below with examples that show how each economy would answer the basic economic questions. Economy What and how much should What type of Who should How should Who should share in what produce what? goods and services be produced? economic be produced? is produced? system is described? Mark's: