Suppose that my utility function is u(w) = ⁰.1 (a) If I played one round of the St. Petersburg Lottery, would would my expected utility be? Assume I currently have zero wealth, and round your answer to two decimals places. Note that in order to compute my expected utility, you will need to sum a geometric series. Expected Utility = 2.15 utiles. (b) Use your rounded answer from (a) to determine my certainty equivalent for the St. Petersburg Lottery. Round your answer to the nearest cent. Certainty Equivalent = $ 2110.50
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- Hello can any one help with this Economics question: A contractor spends Dollar 3,000 to prepare for a bid on a construction project which, after deducting manufacturing expenses and the cost of bidding, will yield a profit of dollar 25,000 if the bid is won. If the chance of winning the bid is ten per cent, compute his expected profit and state the likely decision on whether to bid or not to bid?Suppose that Mike, with utility function, u(x) = v x+5000, is offered a gamble where a coin is flipped twice, and if the coin comes up heads both times (probability - .25), he gets $40,000. Would he prefer this gamble or $7,500 for sure? What is his Certainty Equivalent?A person has wealth of $500,000. In case of a flood her wealth will be reduced to $50,000. The probability of flooding is 1/10. The person can buy flood insurance at a cost of $0.10 for each $1 worth of coverage. Suppose that the satisfaction she derives from c dollars of wealth (or consumption) is given by u(c) = √c. Let CF denote the contingent commodity dollars if there is a flood (horizontal axis) and CNF denote the contingent commodity dollars if there is no flood (vertical axis). (a) Determine the contingent consumption plan if she does not buy insurance. (b) Determine the contingent consumption plan if she buys insurance $K. (c) Use your answer in (b) to eliminate K and construct the budget constraint (BC) that gives the feasible contingent consumption plans for different amounts of insurance K. Determine the slope of budget line (both graphically and by forming the price ratio).
- [**] Simon has current wealth of $36, including $20 in cash. With probabil- ity Simon's money will be stolen (contingency 1), leaving him with only $16 to spend on consumption, and with probability his cash will not be stolen (contingency 2) so he can spend the entire $36 on consumption. Simon has utility function u (0₁.0₂) = √6 + 2√ where c is consumption spending in contingency i. Show Transcribed Text 1. What is the expected value of Simons contingent consumption? 2. What is the expected utility of Simons contingent consumption? 3. What is Simons MRS at his current contingent consumption bundle 4. An insurance company offers to fully insure Simon against the risk of theft for a premium (price) of $P. That is, if Simon pays $P to the insurance company, then the insurer will replace Simons $20 in contingency 1. If Simon buys the insurance his contingent consumption bundle is therefore (36 P; 36 P). i. What is Simons MRS at the fully insured contingent consumption bundle? ii. At what…6. for a large company (she travels by car). She earns 900 euros a week in fixed salary, but if she reaches the set for a week sales target, she receives a bonus of 325 euros that week. The probability of getting the bonus is 0.2. A person is a traveling salesman of goods Her utility function over money is given by U=√W, where W is the wealth in SEK per week. 6a 6b What is her expected weekly bonus? Her boss offers her another job within the same company. If so, she would work in an office with a certain personnel responsibility and receive a fixed salary per week (no bonuses). What salary per week must her boss at least offer her in order for her to accept new work? Justify your answer based on expected utility theory.Zac has a current wealth of £400. He gets an email offering him the chance to enter a prize draw that gives £500 prize with a 25% chance and £0 the rest of the time. Zac is an expected utility maximiser with a von Neumann-Morgenstern utility in wealth w of u (w) = Vw. What is the minimum price at which Zac will sell his rights to enter the draw? £106.25 £506.25 O E31.25 £22.5 £56.25
- 1. A woman with current wealth X has the opportunity to bet an amount on the occurrence of an event that she knows will occur with probability P. If she wagers W, she will received 2W, if the event occur and o if it does not. Assume that the Bernoulli utility function takes the form u(x) = -e-rx with r>0. How much should she wager? Does her utility function exhibit CARA, DARA, IARA?A woman with current wealth X has the opportunity to bet an amount on the occurrence of an event that she knows will occur with probability P. If she wagers W, she will received 2W, if the event occur and if it does not. Assume that the Bernoulli utility function takes the form u(x) = with r > 0. How much should she wager? Does her utility function exhibit CARA, DARA, IARA? Alex plays football for a local club in Kumasi. If he does not suffer any injury by the end of the season, he will get a professional contract with Kotoko, which is worth $10,000. If he is injured though, he will get a contract as a fitness coach worth $100. The probability of the injury is 10%. Describe the lottery What is the expected value of this lottery? What is the expected utility of this lottery if u(x) = Assume he could buy insurance at price P that could pay $9,900 in case of injury. What is the highest value of P that makes it worthwhile for Alex to purchase insurance? What is the certainty…A person has wealth of $500,000. In case of a flood her wealth will be reduced to $50,000. The probability of flooding is 1/10. The person can buy flood insurance at a cost of $0.10 for each $1 worth of coverage. Suppose that the satisfaction she derives from c dollars of wealth (or consumption) is given by u(c) = √c. Let C denote the contingent commodity dollars if there is a flood (horizontal axis) and CNF denote the contingent commodity dollars if there is no flood (vertical axis). 1 Determine the contingent consumption plan if she does not buy insurance. 2 Assume that the person has von Neumann-Morgenstern utility function on the contingent consumption plans. Write down the expected utility U(CF, CNF) and derive the MRS. 3 Solve for optimal (CF, CNF). To this end, first use the tangency condition (TC) to find the relation between the two contingent commodities (CF, CNF). Next, use (BC) to solve for their values. What is the optimal amount of insurance K the person will buy? (Note:…
- . Priyanka has an income of £90,000 and is a von Neumann-Morgenstern expected utility maximiser with von Neumann-Morgenstern utility index . There is a 1 % probability that there is flooding damage at her house. The repair of the damage would cost £80,000 which would reduce the income to £10,000. a) Would Priyanka be willing to spend £500 to purchase an insurance policy that would fully insure her against this loss? Explain.5) A person with a current wealth of $100,000 who faces the prospect of 25 percent chance of losing his or her $20,000 automobile through theft during the next year. Suppose this person's utility function is U(Y) = InY. a). If this person takes no action, what is the expected utility? b). What is the actuarially fair premium? What is his expected utility if he purchase this insurance. c). Suppose that now the insurance company provides a new type of insurance. This insurance costs $4900 and requires the individual to incur the first $1000 of the loss from theft would yield. That is expected utility of this new insurance? Will the person choose the insurance in b) or c)?Questions 18 through 20 refer to the following information: Shawn's consumption is subject to risk. With probability 0.75 he will enjoy 10000 in consumption, but with probability 0.25 he will have only 3600. His utility function for consumption is given by v(c) = vc. Question 18 What is the expected value of Shawn's consumption? Question 19 What is his expected utility?