4.4 This chapter argues that saving and spending behaviordepend in part on wealth (accumulated savings and in-heritance), but our simple model does not incorporatethis effect. Consider the following model of a simpleeconomy: C=50+0.8Y+0.1WI= 200W= 500Y=C+IS=Y-CIf you assume that wealth (W) and investment (I) remainconstant (we are ignoring the fact that saving adds to thestock of wealth), what are the equilibrium levels of GDP(Y), consumption (C), and saving (S)? Now suppose thatwealth increases by 100 percent to 1,000. Recalculatethe equilibrium levels of Y, C, and S. What impact doeswealth accumulation have on GDP? Many werecon cerned with the large increase in stock valuesin the late1990s. Does this present a próblem for theeconomy?Explain.

Given; Consumption; C=50+0.8Y+0.1WInvestment; I=200Wealth; W=500GDP; Y=C+ISaving; S=Y-C then;…

Answered: 4.4 This chapter argues that saving and…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1) In the IS equation why wasnt G in the calculations. 2)Suppose that with all exogenous variables, including T and M at their original values, households become less confident about the future and reduce their autonomous level of consumption from 200 to 150. Solve for the new values of e, Y and NX. With the help of graphs, explain very carefully the mechanisms by which a new equilibrium is reached. 3)Suppose that with all exogenous variables at their original values, the autonomous part of money demand increases to 70. Solve for the new values of e, Y and NX. With the help of graphs, explain very carefully the mechanisms by which a new equilibrium is reached.
The table below is the multiplier matrix of the 4 sector economic model. Exogenous Variables G* T* AND C T Even. YD M B AS S A 1.163 0.817 0.311 1.73 0.311 0.311 - 0.311 0.222 I* 1.163 0.817 0.311 1.73 0.311 0.311 - 0.311 0.222 1.163 0.875 0.311 1.73 0.311 -0.655 -0.311 0.222 - 1.094 -0.815 0.781 -1.875 -0.219 0.781 0.219 - 0.563 X* 1.163 0.815 0.311 1.25 0.311 0.311 0.547 0.222 a. Calculate the change of each endogenous variable value of the effect of AG* = 160 M* - 1.163 - 1.393 - 0.311 - 1.25 0.655 - 0.311 - 0.547 - 0.222 b. Calculate the net change in each value of the endogenous variable as a result of the simultaneous change, AX* = 200 and AM* = -150 c. AT* = 250; By how much does the government need to change G* so that the net effect of these 2 shocks (AT* = -250 and AG* which you calculated) so that AB = 0? d. Calculate the net change in each value of the endogenous variable as a result of the 2 shocks occurring in (c).
3. Analytic Question on Durable Consumption It is known that durable consumption is more sensitive to interest rates and expected income. In this question, we investigate if this is the case in the context of the model we have been studying. We investigate the following decision: U (c1, c2) 1 max {c1,c2} 2 VCi + xo + subject to the following budget constraints: The time 1 budget constraint: a = Y1 - Ci and the time 2 budget constraint: C2 = Y2 + (1 +r) a. The novelty is that ro is now a variable to represents past purchases of goods 1. You can think of this as a car. In turn, we have that x1 = c1 so a1 is consumption derived utility in period 2 derived from past purchases. For this question assume that B (1+ r) = 1. Answer the following questions. а. Substitute out a from both budget constraints, the one at time 1 and time 2, to write a single intertemporal budget constraint. b. Show that the Euler equation (the equation that relates the marginal utility of consumption to the interest…
Consider a two-period consumption saving model and let f1 and f2 denote the first and secondperiod consumption, respectively. Assume that the interest rate at which the consumer may lend or borrowis 10%. Suppose that a consumer’s utility function is x (f1> f2) = f1 + 20√f2= The consumer first periodincome is L1 = $100 and the present value of her income stream is $330=(a) What is the optimal consumption stream (consumption bundle) of this consumer?(b) Is this consumer borrower or lender? How much does she borrow or lend?(c) What is the effect of a reduction of the interest rate to 5% on the consumer’s optimal first-periodsaving? (Make sure to take into account the effect of the decline in the interest rate on the present value ofthe consumer’s income stream.)
8. Consider the OLG model with capital. Each individual is endowed with y units of the consumption good when young and with nothing when old. Let N be the number of individuals in each generation. Suppose there is one asset available in the economy capital. A unit of capital can be created from a unit of the consumption good in any period t and capital can be created in any amount. One period after it is created, a unit of capital produces X units of the consumption good and then disintegrates. Assume that each initial old can produce Xko units of the consumption good in the first period. Now suppose that an individual's preference is given by U (C₁, C₂) = (C₁) (c₂) } . We focus on stationary allocations. (a) Write down the budget constraints faced by an individual when young and old. Combine the budget constraints to find the lifetime budget constraint for an individual (b) Solve for the optimal allocation of (c₁, c₂) for all future generations. What is the optimal k* ? Now suppose an…
8. Consider the OLG model with capital. Each individual is endowed with y units of the consumption good when young and with nothing when old. Let N be the number of individuals in each generation. Suppose there is one asset available in the economy capital. A unit of capital can be created from a unit of the consumption good in any period t and capital can be created in any amount. One period after it is created, a unit of capital produces X units of the consumption good and then disintegrates. Assume that each initial old can produce Xko units of the consumption good in the first period. Now suppose that an individual's preference is given by U (C₁, C₂) = (C₁) ¹ (C₂) ¹. We focus on stationary allocations. (a) Write down the budget constraints faced by an individual when young and old. Combine the budget constraints to find the lifetime budget constraint for an individual (b) Solve for the optimal allocation of (c, c) for all future generations. What the optimal k* ? Now suppose an…
8. Consider the OLG model with capital. Each individual is endowed with y units of the consumption good when young and with nothing when old. Let N be the number of individuals in each generation. Suppose there is one asset available in the economy - capital. A unit of capital can be created from a unit of the consumption good in any period t and capital can be created in any amount. One period after it is created, a unit of capital produces X units of the consumption good and then disintegrates. Assume that each initial old can produce Xko units of the consumption good in the first period. Now suppose that an individual's preference is given by U (C₁, C2) = (C₁) 1 (C₂) ¹. We focus on stationary allocations. (a) Write down the budget constraints faced by an individual when young and old. Combine the budget constraints to find the lifetime budget constraint for an individual ) (b) Solve for the optimal allocation of (c, c) for all future generations. What is the optimal k* ? Now suppose…
I. EOQ Model Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costsyou $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
QUESTION 1An individual lives for two periods and decides how much to consume in each period.- In the first period his consumption equals C1 and his income Y1 = 200- In the second period his consumption equals C2 and his income Y2 = 100He can save or borrow money in the first period to finance his consumption in the second period.The interest rate he gets in case he saves or has to pay in case he borrows money equals 7%.Determine the budget constraint of this individual. C2 = −0.935·C1 +314C2 =−1.07·C1 +314C2 =−0.8·C1 +314C2 =−1.08·C1 +314 QUESTION 2The total production of a good y is determined by the production function y = 3L2/3K1/3, where L is labour input and K capital input.The reward (factor prices) for labour and capital are, l = 27 en r = 2, respectively.The producer needs to produce 9000 units of good y.How much units of labour will he hire if he wants to miminize his total costs? 1587,4839,953000515,23 QUESTION 3A good is traded on a perfectly competitive…
Consumption/Savings 1000 800 600 400 200 0 -200 Select one: 200 400 600 800 1000 1200 1400 1600 S Refer to the graph above to answer this question. What is the equation for the saving function? A. S=200+ 0.4Y. B. S=-200+ 0.6Y. X C. S-200+ 0.8Y. OD. S-200 +0.2Y. OE. S=200 - 0.2Y. Income
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…
At the beginning of the year, Savannah had $30 in savings and saved an additional $16 each week thereafter. Jacob started the year with $55 and saved $11 every week. Let S represent the amount of money Savannah has saved t weeks after the beginning of the year and let J represent the amount of money Jacob has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the amount of money Savannah and Jacob have saved in the week that they have the same amount of money saved. S = J = Answer: Submit Answer dollars per week attempt 1 out of 2 weeks weeks per dollar dollars Extensions

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