Rania is a random relocation economy where each individual receives 200 units of goods when young and nothing when old. Assume that people only want to consume when old. The rate of increase in money supply is 1.2 in each period, and the net rate of return on capital is 12 %. Answer the following: a) What contract a competitive bank offers to a mover? b) What contract a competitive bank offers to a non- mover?
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- Consider the following model of the economy Production function: Y = AKN – N2/2Marginal product of labor: MPN = AK – N. Where the initial values of A = 8 and K = 10. The initial labor supply curve is given as: NS = 20 + 9w. Cd = 401 + .50(Y-T) – 500rId = 800 – 500rG = 500T= 100 Md/P = 469 + 0.5Y- 1000r Nominal Money supply M = 4000 We assume that expectedinflation is zero (?e?= 0) so that money demand depends directly onthe real interest rate (since i = r). 1 a) Solve for the labor market clearing real wage (w*), theprofit maximizing level of labor input (N*), and the full employment level ofoutput (Y*). Please show your work. Draw two diagrams verticallywith the labor market on the bottom graph and the production function on thetop graph. Be sure to label everything including this initial equilibrium pointas point A b) Derive an expression for the IS curve (r in terms of Y). Please show all work c) Find the real interest rate that clears the goods market. Please show all work…Looking at business fixed investment, elaborate on why investment is negatively related to theinterest rates.b. Using the Tobin’s q theory, elaborate on the relationship between investment and capitalstock?c. If the market value of firm A is $1.5 million and the replacement cost of capital is $450,000, find the Tobin's q.d. Should the firm replace capital? Elaborate on your response.Consider the market for loanable funds. Suppose the demand for loans is given be i=9-Q+π, and the supply of loans is given by i=Q/2+π, where π represents inflation. Now suppose that π=5 (instead of 3, in the previous problem). What is the equilbrium quantity of loans and what is the corresponsing interest rate? Q*=8, i*=6 Q*=3, i*=6 Q*=6, i*=8 Q*=6, i*=6
- 3. If the desired capital stock is $155,000, the current level of the capital stock is $100,000, and a firm wishes to close 20% of the gap each period. a. What does the flexible accelerator model suggest will be next period’s level of investment? b. What will be the level of investment the year after that?The consumption function of the economy of Macro-land is given by ? = 200 + 0.75(? − ?)The investment function is given by ? = 200 − 25? . Government purchases and taxes are both 100. (a) Find the equation of the IS curve (b) The money demand function in Macro-land is given byMd= ? − 100? The nominal money supply M is 1,000 and the price level is 2. Find the equation of theLM curve (c) Find the interest rate and income for which the goods and services and money marketsare simultaneously in equilibrium. (d) Suppose the government purchases are raised from 100 to 150. What are the newequilibrium interest rate and income? (e) Suppose that the money supply is raised from 1,000 to 1,200. What are the newequilibrium interest rate and national income? (f) How will fiscal expansion in the country (Macro-land) affect national income,employment, interest rate, price level and real money balance under the Keynesianaggregate supply condition? NB: Kindly answer all questionsIn the capital market, if a Öxed interest rate exists (horizontalline) where the dashed lines intersect, then in a recession (solid lines)the interest cannot fall to its equilibrium value. This causes an a. excess supply of capital at the pre-recession interest rate;b. excess demand for capital at the pre-recession interest rate;c. excess supply of labor at the pre-recession interest rate;d. excess demand for labor at the pre-recession interest rate
- Need only answer not explain Q.The marginal product of labor (MPL) is given by the ________. labor share of income - average output per unit of labor Q. .In the IS curve, if Y falls for any given level of the real interest rate ________. saving increases output increases consumption decreases all of the above none of the above labor share of income + average output per unit of labor labor share of income × average output per unit of labor labor share of income ÷ average output per unit of labor none of the aboveConsider an economy in which there is one consumer born at the start of each time period. Each consumer lives for two periods and receives an endowment of 1 unit of the consumption good when young. At the start of the economy there is a consumer who is already old. This consumer owns one unit of money but has no endowment of the consumption good. Money has no intrinsic value. a. Can money be valuable in a finite economy (one that has a known end point)? b. Can money be valuable in an infinite economy? c. Can money allow exigency to be attained?A decline in the interest rate, other things constant, shifts the investment schedule downward. O True O False
- Explain how Life-Cycle Hypothesis and the Permanent Income Hypothesis, explain the difference between long run APC and short run APC.Consider a closed-economy. The economywide expected future marginal product of capital is MPKf = 50 − 0.05K^f , where Kf is the future capital stock. The depreciation rate of capital, δ, is 10% per period. The current capital stock, K, is 900 units of capital. The real price of a unit of capital is 8 unit of output. Firms pay taxes equal to 20% of their output. The consumption equation is C = 100 + 0.6Y −100r, where C is consumption, Y is output, and r is the real interest rate. Government spending equals 150 and full-employment output is 1000. (a) Suppose the current real interest rate is 10% per period. What are the values of the tax-adjusted user cost of capital, the desired future capital stock, and the desired level of investment? (b) When the real interest rate equals 10%, what are the desired levels of consumption and saving (assuming output is at the full-employment level)? 10 (c) Is the goods market in equilibrium when the real interest rate equals 10%? Provide an intuitive…In an economy, the future marginal product of capital is MPKf=100-K, where K denotes the future capital stock. The price of capital is 100, the depreciation rate of capital is 0.1 and the current capital stock is 10. An equation relating desired investment (I) to real interest rate (r) is