Chapter 22, Problem 4E

1. Lisa has $48 per week set aside for coffees (x) and lunches (z). The price of coffee is $4 and lunches are $6. What is Lisa's budget line equation (with z on the left-hand side)? Graph the budget line, and show how it changes when the price of lunches rise to $8 (including intercepts). What is the new budget line equation? 2. Suppose utility for a consumer of movies (x) and golf (z) is U = 20x0.420.5. The consumer has set aside $1000 to consumer movies and golf for a year. a. If the price of movies is $20 and the price of golf is $40, what is the utility-maximizing consumption of movies and golf? b. Show the optimal consumption bundle on a graph, showing a budget line (with intercepts), a tangent indifference curve, and the optimal choice. 3. Sam has set aside $480 for entertainment this month, which is golf (x) and/or bowling (z). A round of golf is $40 and a night of bowling is $30. His utility function is U = 3x + 2z. a. What is his MRS? b. Solve for the optimal choice of golf…

Question Seven There are specific applications of the hidden-action or moral hazard model. Consider employment contracts signed between a firm's owners and a manager who runs the firm on behalf of the owners. The manager is offered an employment contract which they can accept and decide how much effort, e ≥ 0, to exert. Suppose that an increase in effort, e, increases the firm's gross profit, not including payments to the manager, but is personally costly to the manager and the firm's gross profit, Пg, takes the following form: Пg = e +ε, ε~N(0,2). Let s denote the salary, which may depend on effort and/or gross profit, depending on what the owner can observe, offered as part of the contract between the owner and manager. Suppose that the manager is risk averse and has a utility function with respect to salary of the form: Aσ² U(W)=μ- 2 a) Derive the optimal result of the owner's expected net profit where there is full information and state what it implies. b) Suppose now that the…

1. The IS/MP model assumes that the Fed sets the real interest rate at a given level Rt. Suppose the Fed adopts a monetary policy rule that instructs it how to change the real interest rate in response to short-run output. Let's call this a monetary policy rule (MPR): The parameter x is positive. Rt=+xY a) Redraw the IS/MP diagram replacing the MP curve with the MPR curve. Show how an aggregate demand shock affects output and interest rates in the short run. Use the IS and MPR equations to solve for the changes in output and the real interest rate. b) How does the change in a affect investment in the IS/MPR model? Explain how a tax cut affects short-run output and investment in this version of the short-run model. The effect on investment is called crowding out. c) Add the Phillips curve to complete the short-run model. Illustrate how the Fed's choice of large it makes reveals its trade off between inflation and output in the short run.