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Suppose David spends his income (I) on two goods, x and y, whose market prices are px and py, respectively. His preferences are represented by the utility function u(x; y) = lnx + 2lny (MUx = 1=x;MUy = 2=y).
a. Derive his demand functions for x and y. Are they homogeneous in income and prices?
b. Assuming I = $60 and px = $1, graph his demand curve for y.
c. Repeat part (b) for the case in which px = $2.
Suppose that due to a political conflict inside the country, there is a risk the government will default in its debt in t = 2. The investors perceive the probability of that default to be = 0:10. What interest will they demand (HINT: because inves..
Semiannual deposits, beginning with $500 and increasing by $100 with each subsequent deposit, are made into a fund paying a nominal 10 percent per year compounded continuously. What will the fund amount to after 7 years
A company is 40% financed by risk-free debt. The interest rate is 10%, the expected market risk premium is 8%, and the beta of the company's common stock is .5. Risk Free Debt Interest Rate Market Risk Premium Beta Taxes40% 10% 8% 0.5 35%
Imagine an economy with a standard Cobb-Douglas production function, population growth of 2%, 1% total productivity growth, a savings ratio of 10% and a profit share of 20%. Assume that machines depreciate by 5% per annum.
Assume the point elasticity method. A 10 percent increase in income brings about a 15 percent decrease in the demand for a good. What is the income elasticity of demand and is the good a normal good or an inferior good
Suppose that investment demand increases by $100. Assume that households have a marginal propensity to consume of 80 percent. Compute the first three rounds of multiplier effects as follows: a) What are the first cycle changes in spending? Total cu..
A $40,000 investment you made yields annual payments of $22,000, $14,000, $17,000, $25,000, and $38,000 at the end of the next 5 years respectively. Calculate the rate of return represented by this cash flow to three significant figures.
This theater shows unusual films and treats early-arriving movie goers to live organ music and Bugs Bunny cartoons. If the theater is open, the owners have to pay a fixed nightly amount of $500 for films, ushers, and so on, regardless of how many ..
A geometrically increasing series of 20 end of year payments is deposited to fund an account. The first payment is $20,000, the geometric factor is 4%. The account is used for retirement purposes and will produce 30 consecutive annual payments of ..
The football coach at Midwestern university was given a 5 year employment contract that paid $225,000 the first year, and increased 8% uniform rate in each subsequent year. At the end of the first year the alumni demanded that he be fired.
Amy has $12 a week to go spend on coffee and pop. The Price of coffee is $2 a cup, and pop is $1 a can. Draw a graph of Amy's budget line. Can Amy buy 7 cans of pop and 2 cups of coffee a week? Can she buy 7 cups of coffee and 2 cans of pop a week..
A firm uses two variable inputs, labor, L, and raw materials, M, with typically shaped isoquants. It pays $20 per hour for L and $5 per unit for M. At the current mix of L and M, the marginal products of L and M are: MPL = 20 MPM = 4
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