Consider an economy described by the following equations: Y=C + I +G Y=7,000 G=4000 T=2,000 C=150+0.75(Y-T) I=1,000-50r b. Calculate the equilibrium interest rate. c. Now suppose the G rises by 1,000. Compute private saving, public saving, and national saving. d. Calculate the new equilibrium interest rate. For these 3 questions please only show the graphical response
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Consider an economy described by the following equations:
Y=C + I +G
Y=7,000
G=4000
T=2,000
C=150+0.75(Y-T)
I=1,000-50r
b. Calculate the equilibrium interest rate.
c. Now suppose the G rises by 1,000. Compute private saving,
national saving.
d. Calculate the new equilibrium interest rate.
For these 3 questions please only show the graphical response.
Step by step
Solved in 2 steps with 1 images
- QUESTION ONE Assume the following functions are for the goods market of a hypothetical economy: (1) I= 150 – 10r; (2) C=700+0.8Yd (3) T=50+0.25Y (4) G=180 Note: Y is income and r is the interest rate a) Derive the IS aurve for this economy. b) Use appropriate scale to sketch the IS aurve is part (a) above. c) Determine and interpret the slope of the IS aurve in part a) above. d) Explain how a change in each of the following will affect the IS curve in part a) above: A balance budget increase in government expenditure of 60 units. An increase autonomous consumption to 800 units An increase in the interest sensitivity of investment to 20. An increase in the marginal propensity to save to .025. A decrease in the marginal tax rate to 0.15. i) ii) iii) iv)For an economy the following functions have been given:C = 100 + 0.8YS = -100 + 0.2YI = 120 – 5rMs = 120Md = 0.2Y – 5rCalculate the following:5.1.1. IS equation 5.1.2. LM equation 5.1.3. Equilibrium level of income 5.1.4. Equilibrium level of interest rate. 5.1.5 Calculate National saving. 5.1.6 Calculate money demand 5.1.7 Find consumption5. Consider the following is the economy of Country Z: C = 200 + 0.85Y I = 100 Answer the following questions: (a) Calculate the equilibrium level of output algebraically using the saving-investment (S-I) approach. (b) What is the value of saving at the equilibrium output from part (a)? (c) Suppose the investment increases to 200. What is the new equilibrium level of output? Calculate the value using the multiplier approach.
- 3. Finally, think about the following applied situation: An economist wants to estimate a line that relates personal consumption C and disposable income I. The economist interviews a few households and obtains the following data: Income Consumption (thousands of dollars) (thousands of dollars) 20 18 18 13 27 21 36 27 37 26 45 36 50 39 c) What is the interpretation of the rate of change? Clearly state the units for the slope and write a sentence explaining what the rate of change tells us in this case.Refer to Figure 26-1. What is measured along the vertical axis of the graph? a. The tax rate b. The interest rate c. The quantity of investment d. The quantity of savingBased on the information presented below, what is the equation representing the saving for this economy? GDP (Y) $0 100 200 300 Cunsumption (C) $60 120 180 240 Oa. S = -60 + 0.6Y O b. S = 60+ 0.4Y O c. S = -40 +0.75Y O d. S= -60+ 0.4Y Saving (S) S-60 -20 20 60 Investment (1) $100 100 100 100
- Course: Introduction to Microeconomics Topic: Intertemporal Consumption DecisionsA consumer makes decision to consume in this year and next year. This year she has an income of M1 = $ 1.5 million and next year her income will be M2 = $ 2.75 million. Interest rate is 10%. Her intertemporal preferences are represented by function U(c1, c2) = c1*c2, whose intertemporal marginal rate of substitution is IMRS = c2/c1.a) Find and graph Budget Constraintb) Find and graph optimal consumption basket and indicate whether the consumer SAVES or BORROWS in the FIRST YEAR.c) Indicate whether following statement is true or false: "Any increase in interest rate will cause a decrease in consumer's welfare" Justify.d) If next year's income is maintained, how much would this year's income have to be for consumer to neither save nor borrow money at 10% interest rate?e) How much would interest rate have to be for consumer to consume exactly her initial endowment (M1 = $ 1.5 million and M2 = $ 2.75…A Moving to another question will save this response. Question 12 Assume the following consumption schedule: C= 20 + 0.9 Y, where C is consumption and Yis disposable income. At $1,100 level of disposable income: (show your calculations) a. Find out the level of saving and consumption? b. How much are the APC and APS (to one decimal place)? ( c. If disposable income increased to $2,800 and saving is $345 now. What are MPC and MPS (to two decimal places)? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt A V 血 x² X2 深| T [区 田田 田E图|言()The following table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them on the accompanying grid. What is the slope of the line? The vertical intercept? Interpret the meaning of both the slope and the intercept. Write the equation that represents this line. What would you predict saving to be at the $12,500 level of income?
- Consider an the following equations: Y=C + I +G Y=7,000 G=4000 T=2,000 C=150+0.75(Y-T) I=1,000-50r a. compute private saving, public saving and national saving. b. Calculate the equilibrium interest rate. c. Now suppose the G rises BY 1,000. Compute private saving, public saving, and national saving.Question Under what conditions would a transfer of income from the richest 10% of the population to the poorest 10% of the population increase aggregate consumption and decrease aggregate savings? Under what conditions would such a transfer decrease Consumption and increase Aggregate Savings? Carefully explain using graphical analysis where appropriate, making sure to define the key terms and relationships you use in your answer.5. Consider the following is the economy of Country Z: C = 200 + 0.85Y I= 100 Answer the following questions: (a) Calculate the equilibrium level of output algebraically using the saving-investment (S-I) approach. (b) What is the value of saving at the equilibrium output from part (a)? (c) Suppose the investment increases to 200. What is the new equilibrium level ot output? Calculate the value using the multiplier approach.
