The following figure shows a utility function for Jasmine. Suppose Jasmine begins with $420 in wealth. Starting from there, would she be willing to accept a coin-flip bet that would result in her winning $120 if the result was "heads" or losing $120 if the result was "tails"? UTILITY CBA
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- PLS ANS 7 URGENT H = ($100, 0.4; $200, 0.6) K = ($120,p, $300, 1- p) 6. EV(H) =EV(K) What value of p makes this statement true? 7. Carol owns prospect H and is interested in selling it. Her utility of wealth function is given by u(x) = x^0.5 . What is the lowest price for which Carol would be willing to sell prospect H?Ma3. The payoff matrix below shows the payoffs for Stefan and Imani in a two strategy game. In the mixed strategy equilibrium, Stefan will play strategy Up with a probability of 1/5 and strategy Down with a probability of 4/5, and Imani will play strategy Left with a probability of 2/5 and strategy Right with a probability of 3/5. What is Stefan's expected payoff in the mixed strategy equilibrium? 10.6 5 4.56 10.4Betty is looking for a job. She considers job opportunities intwo cities. Bettyís utility is given by y- x, where y is the lifetime income andx is the amount spent on buying a house. The income from City 1 fluctuatesalthough the house price is stable. On the contrary, the income from City2 is stable while the house price fluctuates. If she moves to City 1, Bettycan earn a lifetime income y1 with probability alpha and 1 + y1 with probability1-alpha . The house price in City 1 is x1. Moving to City 2 means that Bettycan earn an income of y2. However, the house price is x2 with probabilitygamma and 1 + x2 with probability 1-gamma . Do the following: (a) Write down theexpected utilities associated with living in the two respective cities, i.e., V1and V2. (b) Derive the condition under which Betty chooses City 1.
- 2. Maria has $100. There is a 50% that she will lose all of it. Her utility as a functionof wealth is u(c) = √c. a. What is the maximum amount she would be willing to pay to fully insure againstthe 50% probability of the loss? b. Is she risk averse, risk loving, or risk neutral?Suppose the consumer's utility function is given by U(x,y) = X3/5y2/5, and the exogenous variables are given by M = 500, Px = 5, and Py = 4. Price of y changes to Py = 2. What is the income effect ony?O A.-14.53O B. +14.53O C. +24.21O D. +25.79O E. None of the above Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.Suppose Caroline is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds.CombinationFraction of Portfolio in Diversified StocksAverage Annual ReturnStandard Deviation of Portfolio Return (Risk)(Percent)(Percent)(Percent)A 0 1.50 0B 25 3.00 5C 50 4.50 10D 75 6.00 15E 100 7.50 20There is a relationship between the risk of Caroline's portfolio and its average annual return.Suppose Caroline currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 5. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and use the proceeds to purchase…
- Khalid has a utility function U = W1/2, where W is his wealth in millions of dollarsand U is the utility he obtains from the wealth. In a game show, the host offershim a choice between (A) $4 million for sure, or (B) a gamble that pays $1million with probability 0.6 and $9 million with probability 0.4.i. Graph Khalid’s utility function with the help of above utility function. Ishe risk lover? Explain. ii. Does A or B choice offer Khalid a higher expected prize? Explain yourreasoning with appropriate calculations. iii. Does A or B offer Khalid a higher expected utility? Again, show yourcalculations. iv. Should Jamal pick A or B choice? Why?Suppose you must choose between the two prospects, (40,000, 0.025) or (1,000): The prospect of winning 40,000 with a probability of 2.5% or winning 1,000 with certainty. Suppose, too, that the following three graphs represent your utility function (according to expected utility theory) and your weighting and value scales (according to prospect theory). Finally, suppose that your current wealth is 20,000. d. Based on prospect theory, which prospect would you choose? Why? e. Why is your decision different under the two theories? (Hint: what is one of the common human traits that prospect theory captures that expected utility theory cannot?)Amy's utility depends upon her income, w. Her utility function is √w. She receives a prize that depends on the roll of a dice. If she rolls a 3 or 4 or 6, she will receive $400. Otherwise, if she rolls a 1 or 2 or 5, she will receive $100.1. What is the expected payoff from this prize? 2. What is the expected utility from this prize?3. What is the minimum payment that Amy will accept to forego the roll of the dice?
- 2) Explain how utility could be used in a decision where performance is not measuredby monetary value.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. The preferences of agents A and B are representable by expected utility functions such that uA(x) = 5x^1/3 +30, and uB(x)= 1/5x - 20. Then, the following allocation of the expected returns of a risky joint investment of A and B as represented by lottery L = ((2/3);1500), (1/3);120)) is Pareto efficient: (a) xA = (500,100), xB = (1000,20) (b) xA = (100,100), xB= (1300,20) (c) xA= (80,80), xB = (1420,40) (d) xA = (750,60), xB= (750,60) (e) NOPAC
