Suppose your wealth is 8 and you are considering a bet of a 50% chance of winning $4 and a 50% chance of losing $4. What is your risk premium given you have In utility ? Drawa diagram and label the relevant values.
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- Question 13 Rhodri has a lottery ticket which will pay £80 with probability 0.5 and zero otherwise. He is willing to exchange the lottery ticket for a certain £25. What is the risk premium of the lottery ticket for Rhodri? Round your answer to 2 decimal places. Add your answer2. Ronald has $18,000. But he is forced to bet it on the flip of a fair coin. If he wins he has $36,000. If he loses he has nothing. Ronald's expected utility function is 0.5x0.5 + 0.5y0.5, where x is his wealth if heads comes up and y is his wealth if tails comes up. What safe income would make him exactly as well off as this bet?What type of risk behavior does the person exhibit who is willing to bet $60 on a game where 20% of the time the bet returns $100, and 80% of the time returns $50? Is this a fair bet? Explain.
- 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.A wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For a 1 dollar bet on hitting a 9, if he or she succeeds, the gambler wins 10 dollars plus the return of the 1 dollar bet. What is the expected value of this gambling game? What is the meaning of the expected value result?1: A risk-averse individual is offered a choice between a gamble that pays £2000 with a probability of 25% and £200 with a probability of 75%, or a payment of £650. Using a diagram explain which he would choose? What if the payment was £640?
- 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 workThe chief executive officer of a publishing company says she is indifferentbetween the certainty of receiving $7,500 and a gamble where there is a 0.5 chance of receiving $5,000 and a 0.5 chance of receiving $10,000. a). Does she seem to be a risk averter, a risk lover, or risk- neutral? Explain. b). What is the coefficient of variation of the risky option (gamble)?In a final round of a MegaMillion TV show a contestant has a won $1 million and has a chance of doubling the reward. If he loses his winnings drop to $500,000. The contestant thinks his chances of winning is 50%. Should he play? What is the lowest probability of a correct guess that will make his betprofitable? Please show your work.
- Suppose that Mary has a utility function U(W) W power of 0.5. Her only asset is the shares in the start-up e-com company. Next week she will learn the stock's value. She believes that it is worth $225 with the probability 1/3, $196 with the probability 1/2 and $144 with the probability 1/6. Write down the prospect and calculate the expected value and her expected utility.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.Johnny is "paid" by his parents $2o if he gets a grade A, $10 if he gets a grade B, whereas he has to pay his parents back $5 if he gets a grade other than A or B. On average 20% of the grades he gets are A, and 30% are grades B. What is the expected value of what he "earns" per grade ? What is the expected value of what he "earns" at school weekly if on average he gets five grades a week ? How long should Jim save until he collects enough money to buy a pair of brand new Hi-Fi headphones that cost $225?