Any risk-averse individual would always (Select all that applies) Group of answer choices a) take a 20% chance at $100 rather than a sure $20. b) take a sure $20 rather than a 20% chance at $100. c) take a sure $2 rather than a 50% chance at $4 and a 50% chance at losing $1. d) take a 50% chance at $5 and a 50% chance at losing $1 rather than a sure $1.
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- Any risk-averse individual would always (Select all that applies) a) take a 30% chance at $100 rather than a sure $20. b) take a sure $20 rather than a 30% chance at $100. c) take a sure $2 rather than a 50% chance at $5 and a 50% chance at losing $1. d) take a 50% chance at $5 and a 50% chance at losing $1 rather than a sure $1.You ask someone about their preferences over the following pairs of lotteries: Lottery A Lottery B Payoff Probability Payoff Probability $200 25% $200 5% $100 45% $100 90% 30% $0 5% Lottery C Lottery D Payoff Probability Payoff Probability $200 20% $200 0% $100 0% $100 45% $0 80% $0 55% The individual says they prefer lotter A over lottery B, and lottery D over lottery C. Is this person using expected utility theory to evaluate these lotteries? How can you know for certain?A friend offers you a chance to play a game in which there are only two outcomes, each with equal probability. If you get the "good" outcome, you win $80. But if you get the bad outcome, you only win $20. What price to play would make this a fair game (fair bet)? Carefully follow all mathematical instructions in your answer.
- PATTS is deciding which of the two investments to take. Option A, total costs = $75,000,000 and the expected benefits = $95,000,000. Option B, total costs = $36,000,000 and the expected benefits = $60,000,000. Which option PATTS should choose?1. Mr. Smith can cause an accident, which entails a monetary loss of $1000 to Ms. Adams. The likelihood of the accident depends on the precaution decisions by both individuals. Specifically, each individual can choose either "low" or "high" precaution, with the low precaution requiring no cost and the high precaution requiring the effort cost of $200 to the individual who chooses the high precaution. The following table describes the probability of an accident for each combination of the precaution choices by the two individuals. Adams chooses low precaution Adams chooses high precaution Smith chooses low precaution Smith chooses high precaution 0.8 0.5 0.7 0.1 1) What is the socially efficient outcome? For each of the following tort rules, (i) construct a table describing the individuals' payoffs under different precaution pairs and (ii) find the equilibrium precaution choices by the individuals. 2) a) No liability b) Strict liability (with full compensation) c) Negligence rule (with…2. Kier, in The scenario, wants to determine how each of the 3 companies will decide on possible new investments. He was able to determine the new investment pay off for each of the three choices as well as the probability of the two types of market. If a company will launch product 1, it will gain 50,000 if the market is successful and lose 50,000 if the market is a failure. If a company will launch product 2, it will gain 25,000 if the market is successful and lose 25,000 if the market will fail. If a company decides not to launch any of the product, it will not be affected whether the market will succeed or fail. There is a 56% probability that the market will succeed and 44% probability that the market will fail. What will be the companies decision based on EMV? What is the decision of each company based on expected utility value?
- Utility Theory 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. A. Apply Bayes’ decision rule to determine which alternative (take the insurance or not) maximizes yourexpected assets after one year.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 Project Red Orange Green Blue Multiple Choice The expected value of project Red is O OO $110. $50. $100. Boom (80%) $80 $ 70 $200. $90 $ 110 Recession (20%) $70 $80 $ 90 $ 110In the final round of a TV game show, contestantshave a chance to increase their current winnings of$1 million to $2 million. If they are wrong, theirprize is decreased to $500,000. A contestant thinkshis guess will be right 50% of the time. Should heplay? What is the lowest probability of a correctguess that would make playing profitable?
- In a final round of a MegaMillion TV show, a contestant has won $1 millionand has a chance of doubling the reward. If he loses his winnings drop to$500,000. The contestant thinks his chances of winning are 50%. Should heplay? What is the lowest probability of a correct guess that will make his betprofitable? Show work1) The following payoff table shows the profit for a decision problem with two (2) states of nature and two (2) decision altematives. Alternative Course of Action State of Nature Probability A Az 0.64 5 0.36 3 11 a) Using Maximin, decide the best action to be taken. b) Compute the expected opportunity loss (EOL) for each altemative course of action. c) Find the expected value of perfect information (EVPI). d) Using Return-to-Risk ratio (RTRR), decide the best action to be taken.A lottery system has balls numbered 1 to 65 and randomly selects 6 of the lottery balls. There is only one prize of $ 10,000,000.00 which is awarded only it a lottery player selects the correct set of 6 lottery balls. a) If a lottery ticket costs $ 5.00, what is a lottery player's expected value? b) How much would the lottery prize have to be worth if it was to be a fair game? (Note: Include dollar signs in your answer)