Problem #4 Assume that the principal is risk-neutral and cares only for the expected value of...
and 12 e, In the principal-agent model the agent's utility function is given by: U(w.e)-w only two effort levels are possible: e-0 (low) and e- 1 (high). The agent has the possibility to undertake work elsewhere and his utility level will then be U. If the principal can observe the agent's effort, what remuneration should he offer the agent so as to make sure that the latter will not leave to work elsewhere?
3 n the principal agent model the agent's utility function s given by: U(w e) = w^1/2 e and only two effort levels are possible: e-0 (low) and e-1 (high). The agent has the possibility to undertake work elsewhere and his utility level will then be U-1. If the principal can observe the agent's effort, what remuneration should he offer the agent so as to make sure that the latter will not leave to work elsewhere? a) w 3 b)...
Problem # The agent selects his effort e from the interval [0,1]. Two outcomes are possible for the principal - the good one and the bad one; Pr(good) e. The principal's revenue is: R(good) 4, R(bad) 3; while the agent's utility is given by U(w,e) w e2. The 'outside option' is Uo 1. Propose the optimal remuneration scheme w for the case when: 5 a) e is observable b) e is not observable c) Repeat point a) with the utility...
Gamma’s utility function over wealth levels w is given by u(w) = √ w. His initial wealth is $400. With probability π, Gamma will get into an accident that will result in a loss of $300. With probability (1 − π), Gamma does not have an accident, and hence suffers no loss. 1. Argue (mathematically) that Gamma is risk averse. 2. What is the expected value of Gamma’s loss? 3. ABC Inc. sells auto insurance. It charges a premium of...
(4) Extra Credit Suppose that the shareholders can hire a board of directors to monitor the CEO. The board of directors cannot perfectly mon itor the effort level of the CEO, but hiring the board of directors increases the chance that they observe the true effort level of the CEO. The cost of hiring the board of directors to the shareholders is z. If hired, the board of directors will observe the effort level of the CEO with probability 2/3....
Problem #3 Jan's wealth amounts to $100,000. His car, worth $20,000, is exposed to the risk of being stolen and the probability of theft actually taking place is 25%. Jan's expected utility function takes the form U(W) - In(W), where W-wealth. a) Find Jan's expected utility (EU) in the situation when he does not buy car theft insurance. b) Find the fair insurance premium assuming that the insurance company does not bear any administrative costs. c) Find the maximum amount...
Problem, 6· (20 points total) Assume that the risk-free rate is 3% and the expected rate of return on the market portfolio s i 0%. (a) (5 points total) Graphically show what the SML (Security Market Line) looks like (1 point). Indicate where the risk-free asset and the market portfolio lie along the SML (1 point each). You can create this graph by hand or by computer. What is the slope of the SML? (1 point) What is the y-intercept...
UCLA WINTER 2020 Problem Set 6 Due in the beginning of class on Thursday, March 12 1. Consider a small town that has only two Sushi restaurants, A and B. Suppose that it costs $3 to make each sushi (for each store) and that the relation between sales in each month (g. measured in thousands) and price (p, measured in dollars) for each firm is 9i = 12 - P:+Pj. (a) What is each store's monthly profit as a function...
Coding Hint: This chart has 1 principal diagnosis, 13 secondary diagnosis codes, and 5 Z codes. In this case, the Z codes include two status heart procedure codes and three long-term drug use codes. Admission Diagnosis: Renal Failure Discharge Diagnosis: (all present on admission) ARF on stage 3 CKD C. Difficile colitis UTI Gout Secondary Diagnoses: Patient Active Problem List Diagnosis Heart replaced by transplant Sinus node dysfunction HTN (hypertension) Hyperlipidemia DM type 2 (diabetes mellitus, type 2) Hypomagnesemia Systolic...
Elimination case study
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