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The tangency condition implies the Euler equation MU(Ct) = (1+r1 ) MU (Ct+1).Now assume the marginal utility functions areMU (Ct) =βtct-1/α (1)where α is the intertemporal elasticity of substitution(IES)
(a) Derive the specific Euler equation implied by the preferencesin (1).
(b) If the IES is very small (i.e., if α → 0), what happens to the relationship between consumption growth and real interest rates?
Suppose that college education raises a person's wage by $30,000 per year, from $40,000 to $70,000. Assume that the interest rate is 3 per cent and there is no growth in wages. Suppose you are a high school senior and deciding whether or not to go..
Assume you are an analyst assessing national costs of mercury abatement. Your staff has estimated the marginal social costs to be MSC = 0.8Q and the marginal abatement cost across polluters to be MPC = 0.65Q, where Q is measured in percent abateme..
Suppose First National Bank has $200 million of assets and $20 million of equity capital. If First National has a 2% return on assets (ROA), what is its return on equity (ROE) Suppose First Nationalís equity capital declines to $10 million
A company makes small loans to students, lend in the amount of $500. The borrower is required to pay $40 at the end of each week for 16 weeks. Find the interest rate per week
Patton Paints Corporation has a target capital structure of 40% debt and 60% common equity, with no preferred stock. Its before-tax cost of debt is 12% and its marginal tax rate is 40%. The current stock price is P0 = $22.50. The last dividend was..
the quantity of labor demanded and supplied respectively, in millions of workers, and W is the hourly wage rate. (a) Suppose the labor market adjusts to competitive equilibrium. What is total employment (L) and the competitive wage (W)
Calculate the net cumulative change in aggregate expenditure if taxes were cut by $200 billion and MPC is estimated to be .75. What if government expenditure was increased by $200 billion
Suppose that the money demand function takes the form (M/P)^d = L(i,Y) = Y/(5i) a. If output grows at rate g, at what rate will the demand for real balances grow (assuming constant nominal interest rates) b. What is the velocity of money in this econ..
(a) How many people participate in the study (b) Calculate the Relative Frequency and enter the results in the above table. (c) Calculate the Midpoint for each class and enter the results in the above table. (d) Calculate the Cumulative Frequency and..
Assume that the market equilibrium rent for two-bedroom apartments in Santa Monica, California is $1500 per month and the quantity is 40,000 units. The city council of Santa Monica establishes a rent control of $1200 per month on two-bedroom apart..
Tom can produce 40 balls per hour or 4 bats per hour. Tessa can produce 80 balls per hour or 4 bats per hour. a. calculate Tom's opportunity cost of producing a ball. b. calculate Tessa's opportunity cost of producing a ball.
Suppose market demand is P = 130 - Q. a) If two firms compete in this market with marginal cost c = 10, find the Cournot equilibrium output and profit per firm. b) Find the monopoly output and profit if there is only one firm with marginal cost c = 1..
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