20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how ribute from the interval [0,10]. The manager of these 20 employees announces that she will contribute r that an employee contributes. employee i who makes contribution of x; dollars is b;(1+d)x; – x;, where b; > 0. I= 2, b; = 0.25 for i = 1, 2, ..., 10, and = 11, 12, ..., 20. st contribution level of any employee i for i = 11, 12, ..., 20. rer
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- Assume that the parcels are essentially identical and that the minimum selling price of each is $575,000. The following table states each person's willingness and ability to purchase a parcel. Willingness and Ability to Purchase Person (Dollars) Andrew 520,000 A-Z Beth 510,000 Lorenzo 750,000 Neha 660,000 Sam 600,000 Teresa 550,000 Which of these people will buy one of the three beachfront parcels? Check all that apply. O Andrew Beth O Lorenzo O Neha O Sam O Teresa Assume that the three beachfront parcels are sold to the people that you indicated in the previous section. Suppose that a few days after the last of those beachfront parcels is sold, another essentially identical beachfront parcel becomes available for sale at a minimum price of $535,000. This fourth will nurchase it from the seller for at least the minimum ncice be sold because parcel MacBook Air F12 O O Oa) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.4. A taproom owner is trying to determine how to structure his manager's compensation. One option he considers is a flat salary of $70,000 per year. The second option is a base salary of $30,000 plus 15% of the taproom's profit. If the manager puts a lot of effort into her job, the taproom's annual profit will be $500,000 with 75% probability and $100,000 with 25% probability. If the manager exerts only modest effort, the taproom's profit will be $500,000 with 25% probability and $100,000 with 75% probability. The manager's opportunity cost of putting a lot of effort into her job is $50,000, while her opportunity cost of exerting only modest effort is $25,000. a. Draw the game tree for the interaction between the taproom owner and the manager. Assume that the taproom owner moves first. b. What is the equilibrium outcome for this game? What kind of contract should the taproom owner offer? What level of effort will the manager choose? Explain.
- Submit All Question 28 of 30 Suppose Jon decides to purchase either a long-term Treasury bond or a share of stock from a company in the Dow Jones Industrial Average. Assume that either one will behave similarly to the average security in their class, and ignore the effect of market conditions. Which security is more likely to lose most of its value in the next year after Jon purchases it? O the probabilities of major loss are the same they are both guaranteed to increase in value the stock the bond Based on historical returns, which security is likely to grow more significantly in value after Jon purchases it? the bond 8:27 PM a 46°F E 4) 12/15/202Young MBA Erica Cudahy can invest up to $20,000in stocks and loans. Each dollar invested in stocksyields $0.08 profit, and each dollar invested in a loanyields $0.13 profit. At least 40% of all money investedmust be in stocks, and at least $7000 must be in loans.Determine how Erica can maximize the profit earnedon her investments.Investors sometimes fear that a high-risk investment is especially likely to have low returns. Is this fear true? Does a high risk mean the return must be low?
- a. Suppose that you took part in a lottery that has a chance to increase, decrease or have no effect on your level of income. With probability 0.5, your income remains at it original level K500; with 0.2 probability, your income increases to K700; and with probability 0.3, your income decreases to K400. The utility function is.u(1) =I^0.7where I denote income leveli.Using the utility function show that the consumer's risk preference is averse. (2marks)ii.Calculate both the EU and EV of the income. (4marks)iii.Using the results in (il) above, indicate the attitude to risk of this consumer. (2marks)Please explain in detail about expected utility to get a positive upvote. An individual has a utility function U = W¼, where W is her total wealth. She has one safe asset worth Rs 5,000, and another risky asset whose value can be either Rs 5,000 or Rs 1,400 with equal probabilities. What is her expected utility? (a) Rs 11,400 (b) Rs 100 aw lo boeoqmoo vmonoos to on g cubire cou s o iva alagos ad a adWnooni lanou lo OAuti (c) Rs 2,580 (d) Rs 90**Practice** I have been trying to practcie this question but I always seem to get it wrong What is the expected final wealth of each agent? Pay attention to the names in each option!A. Anna’s expected final wealth is 1440 and Bob’s expected final wealth is 980B. Anna’s expected final wealth is 1020 and Bob’s expected final wealth is 1380C. Anna’s expected final wealth is 1460 and Bob’s expected final wealth is 1105D. Anna’s expected final wealth is 1140 and Bob’s expected final wealth is 1200E. None of the options above
- 7. Principal-Agent II A risk-neutral principal can hire a risk-averse agent to undertake a project. There are two possible outcomes for the gross profit of the principal, TL There are also two possible effort levels that the agent can exert, e = 0 or 1; if e = 0, the probability of TH is only 1/3, but if e = 1, the probability of TH increases to 2/3. 20 and TH = 50. The agent's utility from receiving a wage wand exerting effort e is Vw – e, and the agent has a reservation utility of ū = 2. (a) Assume that effort is observable. What wage will the principal offer if she wants to induce low effort? What wage will she offer if she wants to induce high effort? What contract is optimal for the principal?Assume that an individual expects to work for 40 years andthen retire with a life expectancy of an additional 20 years.Suppose also that the individual’s earnings increase at a rateof 3 percent per year and that the interest rate is also 3 percent(the overall price level is constant in this problem). What(constant) fraction of income must the individual save ineach working year to be able to finance a level of retirementincome equal to 60 percent of earnings in the year just priorto retirement?Jin's Utility Function Wealth Utility (Dollars) 60,000 4,000 61,000 4,110 62,000 4,209 63,000 4,288 Refer to Table 27-1. If Jin's current wealth is $61,000, then O his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. Jin is not risk averse. O his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. Jin is not risk averse. O his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. Jin is risk averse. his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. Jin is risk averse.