M model of an economy with the following .8Yd ons for the IS and LM (to two decimal places 2168.4 – 69.5i and Y = 3i + 125 780 – 25i and Y = 30i + 1250
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- == 2. Consider an IS/LM model of an economy with the following equations:C = 300+ 0.6Ydl 100 5iG 200TR = 200T 200T = 0.1YL = 0.4Y 30iM/P = 500(a) Using the above data, derive the equation for the IS schedule. (b) In this example, what is the equation for the LM schedule? (c) Using simultaneous equations calculate the equilibrium level of income and interestrates. Sketch the IS/LM equilibrium position. (d) What are the values of the monetary policy multipliers with respect to income andinterest rates? If the money supply is increased by 30, what are the new market clearing income and interest rate levels?Question 2 Analyse the variables depicted in Figure 1 and comment on the movement of the variables over the period, using literature or other valid sources to support your answer. 0.0 26.5 25.4. 253 261 25.0 24.9 30 2.5. 20 15. 10 05 70 NO Fig. 1 Visual of the variables of study LNGOP LNIND LNTNR 10 why 9 00 05 10 15 MN.. UNFO LNCOALActual sales of TV's for the first six month in 2021 were as follows:January 60 February 80 March 42April 68 May 44 June 72 Use this information and determine in whole numbers: 1 The average actual monthly sales for that period 2 Trends: Reduce this average by 6% per month for the next three months 3 Simple Moving Average (SMA): make a forecast for July using a three months simple movingaverage. 4 Weighted Moving Average (WMA): make forecast for July, using a three months weightedmoving average where the weights are 0.5; 0.3 and 0.2 respectively.
- Explain the relationship that economic variables can have with businesscycles. These have both direction and timing. Give an example economicvariable of each combination of direction timing. Of these two attributes, ifyou had exclusive access to a reliable variable, which relationships wouldyou want this variable to have for forecasting purposes1. Referring to the figures below, 1.0 gdp-gth 80 BPERMITS-YOY 0.8 60 0.6 - 0.4 40 0.2 20 0.0 -0.2 -20- -0.4 -0.6 -40 rel. vol. = 9.4 --0.8 -60 -1.0 1970 2000 2010 1960 1980 1990 2020 -8 -6 -4 -2 2 4 6. 8. TIME (year) LAG (quarters) Source: FRED/BEA characterize the relationship between the growth rate of GDP and the growth rate of building permits (BPERMITS-YoY) in terms of the following items: • Timing. • Direction. • Volatility. Include a brief description of each item in this list in your characterization. RATE (%/year) CROSS CORRELATIONGross Domestic Product The U.S. gross domesticproduct (GDP) (in trillions of dollars) for selectedyears from 2005 and projected to 2070 can be modeled by y = 0.116x2-3.792x + 45.330, where xis the number of years after 2000. During what yearsbetween 2005 and 2070 was the gross domestic product no more than $23.03 trillion?
- Question 1 Suppose the variable a grows at a constant rate, ga the variable b grows at a constant rate, ğ,, and the variable c grows at a constant rate, g.. We know that c = a05/b. Which of the following is correct? O9e=0.59a-9b 09 = ₁9 O 0.5 none of the answersY6 4.) The following equations describe an economy. Y = C + I + G C = 50 + 0.7(Y-T) I = 108 -200r G = 120 T = 120 (M/P)d = 2Y -200r M = 1000 P = 1 a.) Use the relevant set of equations to derive the IS curve. Graph it on an appropriately labeled graph. b.) Use the relevant set of equations to derive the LM curve. Graph it on an appropriately labeled graph. c.) What is the equilibrium level of income and the equilibrium real interest rate? d.) Now consider that the LRAS curve is Y = 600. Draw the LRAS curve on the IS-LM Model and the AD-AS Model for this economy. (Remember, P= 1) e.) What will happen for this economy to reach long run equilibrium?. This question repeats the exercise of Study Exercise 12, but for spe- cific numerical values. The equations of the model are C = 50 +0.7YD T = (0.2)Y I = 75 X = 50 G = 100 IM = (0.15)Y i a. Compute the AE function and plot it in a diagram. What is to- tal autonomous expenditure? b. What is the slope of the AE function? c. Compute the equilibrium level of national income. d. Suppose X rises from 50 to 100. How does this affect the level of national income? e. What is the simple multiplier in this model?
- Use exponential smoothing with a smoothing constant of 0.3 to forecast the demand for fertilizer in year 12. Assume that last period's forecast for year 1 is 5,000 bags to begin the procedure. Bags are shown in 1,000's in table below. Year Demand (Bags) 6 3 4. 4. 5 10 6 8. 7 7 8 9 12 10 14 11 15 O A. 14.00 ОВ. 14.87 OC. 11.79 O D. 13.67 Click to select your answer. tUs I MacBook Air 80 F3 888 * ES F4 44 F7 F2 F6 F8 >) FIO F11 @ #3 24 4 & 2 6. 7 8 9. 0. W R Y U P. F G H %3D K C V N alt command command option * coPlease help solve and explain this equationFluctuation of savings and investment rates impact on GDP of any macroeconomics. Comment with the help of example and graphically as wel