In the following market model, P is price in time t, S and D are supply and demand functions. Assume that supply in year t depends on price in year t - 1, S (Pt-1) = aPt-1 and that demand function is an usual one, D(P) = 1-bP₁.
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- 1. Given ln Qda = 2.35 – 0.12 ln Pa - 0. 25 ln Y + 0.18 ln Pb – 0.26 ln Pc, (all in logarithmic form), which of the following is correct? Note: Qda is the quantity demanded for product “a”, Pa is the price of product “a”, Pb is the price of product “b”, Pc is the price of product “c” and Y is the income, ln means natural logarithm. A. the demand for product “a” is price inelastic B. the demand for product “a” is price elastic C. a 1% increase in the Pa will cause a 0.12% decrease in the demand for product “a” D. A and C are correct E. B and C are correct 2. Given: ln Qda = 2.35 – 0.12 ln Pa - 0. 25 ln Y + 0.18 ln Pb – 0.26 ln Pc, (all in logarithmic form), which of the following is correct? The definition of the variables are found in #1. A. product “a” and product “b” are substitutes B. product “a” and product “b” are complementary C. a 1% increase in the Pb will increase the demand for “a” by 0.18% D. A and C are correct E. B and C are correct 3. Given: ln Qda = 2.35 – 0.12 ln Pa…7 Suppose the following model describes the relationship between annual salary (salary) and the number of previous years of labor market experience (exper): log(salary) = 10.6 + .027 exper. (i) What is salary when exper = 0? When exper = 5? (Hint: You will need to exponentiate.) (ii) Use equation (A.28) to approximate the percentage increase in salary when exper increases by five years. (iii) Use the results of part (i) to compute the exact percentage difference in salary when exper = 5 and еxper = 0. Comment on how this compares with the approximation in part (ii).Suppose the macroeconomic parameters are as follows in Turkey. Production: Y = A K1/3 L2/3 (A= 7 ) Factor supplies: K, L (K = 3000, and L= 1300) Government: 2200, Taxes: 2000 Consumer behavior C = 1000 + 0.6 (Y-T Investment behavior | = 3000 - 1000г Compute real interest rate in Turkey (Show the percentage value as numerical such as 15 for %15 or 0.15).
- Suppose that Y=MX+b, where Y=consumption, b=consumption at zero income, M=slope, and X=income(i) Are Y and X positively related or are they negatively related?(ii) If graphed, would the curve for this equation slope upward or slope downward?(iii) Are the variables Y and X inversely related or directly related?(iv) What is the value of Y if b=10, M=.50, and X=200?(v) What is the value of X if Y=100, b=10, and M=.25?1. Suppose that an equation for infant mortality is described by the function: - VD (P)1². where i is the infant mortality rate (expressed in per 1,000 children), Y is the gross domestic product (in US dollars), P is the population, and 3 and b are constants. a. Derive a linear (in parameters) equation from the function above with In i as the left Y -hand side variable and In y on the right-hand side. Note that y =, which is the P' GDP per capita. b. Identify the slope and intercept in the derived equation in (a). What could be the relationship between i and y? Provide an economic explanation. c. Derive a formula of the slope parameter in the linear equation in (a) for the interpretation of the changes in the variables. Interpret the resulting equation.1-1 Consider the following model. AD : Y = 620 + 10 M/P AS :Y = Y' + (P – P^e ) where Y' = 750, P^e= 38, and M = 600 (a) Explain why an increase in the money supply (M) increases output. (b) Graph AD and AS curves. (c) Compute the equilibrium level of price. (d) Suppose that the money supply increases to 750. What is the short-run equilibrium level of output and the price level? (e) What is the long-run price level with M = 900? 1-2. Suppose that the government increases expenditures by $100×(1 + 0.02) billion while increasing taxes by $100x(1– 0.02) billion. Suppose that the MPC is 0.7 × (1 + 0.02) and that there is no crowding out effect. What is the combined effects of these changes? Why is the combined change not zero?
- 13. Consider a model with four lags: Yt = a, + 80zt + 8,Zt-1 – 822t-2 + 832t-3 + 84Z¢-4 + Ut Now, let us assume that the 8; follows a quadratic in the lag, j: 8; = Yo + Y1j + Y2j? for parameters, yo, Y1, and y2. This is an example of a polynomial distributed lag (PDL) model. a. Plug the formula for each 8; into the distributed lag model and write the model in terms of parameters yr, for h = 0,1,2. b. Explain the regression you would run to estimate yn.1. Given In Qda = 2.35 – 0.12 In Pa - 0. 25 ln Y + 0.18 In Pb – 0.26 ln Pc, (all in logarithmic form), which of the following is correct? Note: Qda is the quantity demanded for product “a", Pa is the price of product "a", Pb is the price of product "b", Pc is the price of product “c" and Y is the income, In means natural logarithm. A. the demand for product "a" is price inelastic B. the demand for product "a" is price elastic C. a 1% increase in the Pa will cause a 0.12% decrease in the demand for product "a" D. A and Care correct E. B and C are correct 2. Given: In Qda = 2.35 – 0.12 In Pa - 0. 25 In Y + 0.18 ln Pb – 0.26 ln Pc, (all in logarithmic form), which of the following is correct? The definition of the variables are found in #1. A. product "a" and product "b" are substitutes B. product "a" and product “b" are complementary C. a 1% increase in the Pb will increase the demand for "a" by 0.18% D. A and C are correct E. B and Care correctChanges in macroeconomic indicators can often be of relevance to business decision-making. For instance, changes in macroeconomic performance reflected in indicators can impact things such as firms profit forecasts, expected sales growth, expansion plans, etc.Assume you are employed as a business analyst with the large Australian based mining company. Identify and discuss how each of thefollowing macroeconomic issues may be relevant to the firm:a) A world-wide economic slow-down.b) Appreciation of the Australian dollar relative to other major currencies.c) The government abolishes subsidies to the mining industry.
- The price of crude oil during the period 2000-2010 can be approximated by P(t) = 6t + 18 dollars per barrel (0 ≤ t ≤ 10) in year t, where t = 0 represents 2000. Saudi Arabia's crude oil production over the same period can be approximated by Q(t) = −0.036t2 + 0.62t + 8 million barrels per day (0 ≤ t ≤ 10). † Use these models to estimate Saudi Arabia's daily oil revenue and also its rate of change in 2008. (Round your answers to the nearest $1 million.) daily oil revenue $ million rate of change in 2008 $ million/yrQUESTION 4 (a) What is an autoregressive distributed lag (ARDL) model in time- series analysis? (b) Suppose you model the growth rate in the world steel price (steelgr:) as a function of the the Chinese GDP growth rate (AChinaGDP;), using quarterly data: steelgr; = 0.044 +0.45AChinaGDP; + 0.8AChinaGDP;-1 + Et What is the long-run effect on the world steel price of a decrease in the Chinese growth rate from 8.5% to 7%?Question 3: Consider the following equation: 1 1 kt+1 = (1-a)k;ª (1+ n)(1+ g) 2+ p How does a rise in n affect kt+1 as a function of k¿? Use a graph to support your answer. Question 4: Consider the following equation: 1-0 (1+1,,1) s(r,) = (1+p)õ +(1+r;1) " 1-0 Derive the effect of a change in the interest rate rt+1 on household's savings rate, expressed as a function of 0.