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? O For Justin, EV(Y) > EV(Z) For Justin, CE(Z) < $25 For Justin, U(EV(Y)) > U(EV(Z))
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- Tasha 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?You live in an area that has a possibility of incurring a massive earthquake, so you are considering buyingearthquake insurance on your home at an annual cost of $180. The probability of an earthquake damagingyour home during one year is 0.001. If this happens, you estimate that the cost of the damage (fully coveredby earthquake insurance) will be $160,000. Your total assets (including your home) are worth $250,000.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.
- 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.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.Wylie has been offered the choice of receiving $5,000 today or an agreed-upon amount in 1 year. While negotiating the future amount Wylie notes that he would be willing to take no less than $5,700 if he has to wait a year. What is his TVOM in percent?
- 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.Type out the correct answer within 50min, will give you upvote only for the correct answer. thank you Himani and Ravi live in a deserted nation called Desertland. Himani spends all her time growing bananas and coconuts. This year, she harvested 1000 bananas and 500 coconuts. She values one coconut as worth two bananas. Himani gave Ravi 200 bananas and 100 coconuts in exchange for help in harvesting the fruits. Himani stored 100 bananas in her house for future consumption, while Ravi consumed all his bananas and coconuts. In terms of coconuts, calculate the GDP of Desertland using the following: a. Expenditure method b.Income methodYou 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 $2,000
- 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. Bothcoins 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. Theinterest rate is i per period. You are risk-neutral and thus only concern yourself withexpected values (and not variance). For simplicity, in the questions below assumeyou 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 youcannot tell which is which. You may make an offer to purchase a coin of yourchoosing, which I am free to accept or reject. What is the most you are willingto offer? Explain how you arrived at this answer.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…