Homework Answers
Method used above is Legrange
multiplier method in which we first formed a legrange function and
used First order conditions to calculate optimal value of
C1 and C2.
In part (b) we used result of part (a) and came to the conclusion that as r increases C1 will decrease
Add Answer to:
Question 2: Solving a two-period model using math 1. Solve for the optimal values of Ci...
Question 1: Two-period model where Ci and C2 are perfect substitutes 1. Draw the budget constraint...
Question 1: Two-period model where Ci and C2 are perfect substitutes 1. Draw the budget constraint with Yi- 100, Y2 60, and 0.2 2. Draw the indifference curves for the preference that is represented by the lifetime utility function G +SC, where β-1. Do it for various levels of lifetime utility, such as 100, 150. and 200. 3. Using the budget constraint and the indifference curves, determine the optimal values of Ci and C2. Does the household have positive consumption...
Consider the following 2-period model U(C1,C2) = min{4C1,5C2} Ci + S = Y1-T C2 = Y2...
Consider the following 2-period model U(C1,C2) = min{4C1,5C2} Ci + S = Y1-T C2 = Y2 - T2 + (1+r)S Where C: first period consumption C2: second period consumption S: first period saving Y] = 20 : first period income Ti = 5 : first period lump-sum tax Y2 = 50 : second period income T2 = 10 : second period lump-sum tax r= 0.05 : real interest rate Find the optimal saving, S*
can anyone help me with this question? 2. An review of intertemporal optimization: Suppose a consumer's utility function is given by U(c,2) where ci is consumption in period 1 and ca is consum...
can
anyone help me with this question?
2. An review of intertemporal optimization: Suppose a consumer's utility function is given by U(c,2) where ci is consumption in period 1 and ca is consumption in perio You can assume that the price of consumption does not change between periods 1 and 2. The consumer has $100 at the beginning of period 1 and uses this money to fund consumption across the two periods (i.e. the consumer does not gain additional income...
Question 1: Changes in the real interest rate and borrowing constraints Consider the problem of an...
Question 1: Changes in the real interest rate and borrowing constraints Consider the problem of an agent that has an endowment of y- 2 apples in period 1 and y2 in period 2, and takes the real interest rate r as given. Preferences are given by: 4 apples U (c1,c2)log (ci) + log (c2) where cı and c2 denote consumption of apples in period 1 and period 2, respectively. a) Solve for c1,c2 and savings when the real interest rate...
2. Consumption-Savings Decision: The Household's decision problem is: 1- 1- max - C1,C2,8 1-7."1-7 s.t. Ci+s=(<)yi...
2. Consumption-Savings Decision: The Household's decision problem is: 1- 1- max - C1,C2,8 1-7."1-7 s.t. Ci+s=(<)yi C2 = (*)(1+r)s + y2 where ci and c2 are consumption in periods 1 and 2 respectively; yi and Y2 are income in periods 1 and 2 respectively; s is savings; r is the interest rate on savings.y is a parameter controlling the concavity of the utility function, and will determine intertemporal substitution of consumption.4 We assume that y> 1; so utility is increasing...
2. TIME PREFERENCE In class, we solved a two-period savings model where a consumer allocates income...
2. TIME PREFERENCE In class, we solved a two-period savings model where a consumer allocates income across two periods. We assumed the consumer’s intertemporal utility function was given by: U(c1,c2) = log(c1) + δlog(c2) and that their intertemporal budget constraint was M1 + M2 = c1 + c2 . 1+r 1+r Along the way to solving that problem, we found that consumers should select their consumption in each period so that: u′(c1) = δ(1 + r)u′(c2), where δ is the...
Consider an economy occupied by many households with two types denoted by i, (i- A, B)...
Consider an economy occupied by many households with two types denoted by i, (i- A, B) who are facing the two-period consumption problem. Each household i- A, B is facing the following utility maximization problem: max subject to ci bi(1+r)bo where yl and yẳ are household is exogenous income in period t 1, 2 . CI and då are household i's consumption in period t = 1.2. , bị is household i's bond holdings of which bo is exogenously given,...
3 Exercise 3 - Basic OLG model Consider the following two-period OLG model. People consume in...
3 Exercise 3 - Basic OLG model Consider the following two-period OLG model. People consume in both periods but work only in period two. The inter-temporal utility of the representative individual in the first period is where c and c2 are consumption and kı (which is given) and k2 are the stocks of capital in periods one and two. ns is work and is government expenditure in period two which is funded by a lump-sum tax in period two, T2....
Question 3 and 4 please ! Please go step by step so I can fully understand...
Question 3 and 4 please ! Please go step by step so I
can fully understand the solution. thank you !
Question 1: Two-period model where Ci and C2 are perfect substitutes 1. Draw the budget constraint with Yi -100, Y2 60, and r 0.2. 2. Draw the indifference curves for the preference that is represented by the lifetime utility function Ci + BC2, where 3-1. Do it for various levels of lifetime utility, such as 100, 150, and 200...
Suppose Sansa lives for two periods. Her preferences are represented as follows: u(c1, c2) = (1+0.8VC2...
Suppose Sansa lives for two periods. Her preferences are represented as follows: u(c1, c2) = (1+0.8VC2 where cı is today's consumption level and c2 is tomorrow's consumption level. Suppose Bob's income today is yı = 100 and his income tomorrow is y2 = 190. Interest rate is denoted by r. 1. Write down Sansa's optimization problem including the budget set. 2. Determine Sansa's optimal consumption bundle (Cl*, C2*) as a function of r.
Question 1: Two-period model where Ci and C2 are perfect substitutes 1. Draw the budget constraint with Yi- 100, Y2 60, and 0.2 2. Draw the indifference curves for the preference that is represented by the lifetime utility function G +SC, where β-1. Do it for various levels of lifetime utility, such as 100, 150. and 200. 3. Using the budget constraint and the indifference curves, determine the optimal values of Ci and C2. Does the household have positive consumption...
Consider the following 2-period model U(C1,C2) = min{4C1,5C2} Ci + S = Y1-T C2 = Y2 - T2 + (1+r)S Where C: first period consumption C2: second period consumption S: first period saving Y] = 20 : first period income Ti = 5 : first period lump-sum tax Y2 = 50 : second period income T2 = 10 : second period lump-sum tax r= 0.05 : real interest rate Find the optimal saving, S*
can
anyone help me with this question?
2. An review of intertemporal optimization: Suppose a consumer's utility function is given by U(c,2) where ci is consumption in period 1 and ca is consumption in perio You can assume that the price of consumption does not change between periods 1 and 2. The consumer has $100 at the beginning of period 1 and uses this money to fund consumption across the two periods (i.e. the consumer does not gain additional income...
Question 1: Changes in the real interest rate and borrowing constraints Consider the problem of an agent that has an endowment of y- 2 apples in period 1 and y2 in period 2, and takes the real interest rate r as given. Preferences are given by: 4 apples U (c1,c2)log (ci) + log (c2) where cı and c2 denote consumption of apples in period 1 and period 2, respectively. a) Solve for c1,c2 and savings when the real interest rate...
2. Consumption-Savings Decision: The Household's decision problem is: 1- 1- max - C1,C2,8 1-7."1-7 s.t. Ci+s=(<)yi C2 = (*)(1+r)s + y2 where ci and c2 are consumption in periods 1 and 2 respectively; yi and Y2 are income in periods 1 and 2 respectively; s is savings; r is the interest rate on savings.y is a parameter controlling the concavity of the utility function, and will determine intertemporal substitution of consumption.4 We assume that y> 1; so utility is increasing...
Consider an economy occupied by many households with two types denoted by i, (i- A, B) who are facing the two-period consumption problem. Each household i- A, B is facing the following utility maximization problem: max subject to ci bi(1+r)bo where yl and yẳ are household is exogenous income in period t 1, 2 . CI and då are household i's consumption in period t = 1.2. , bị is household i's bond holdings of which bo is exogenously given,...
3 Exercise 3 - Basic OLG model Consider the following two-period OLG model. People consume in both periods but work only in period two. The inter-temporal utility of the representative individual in the first period is where c and c2 are consumption and kı (which is given) and k2 are the stocks of capital in periods one and two. ns is work and is government expenditure in period two which is funded by a lump-sum tax in period two, T2....
Question 3 and 4 please ! Please go step by step so I
can fully understand the solution. thank you !
Question 1: Two-period model where Ci and C2 are perfect substitutes 1. Draw the budget constraint with Yi -100, Y2 60, and r 0.2. 2. Draw the indifference curves for the preference that is represented by the lifetime utility function Ci + BC2, where 3-1. Do it for various levels of lifetime utility, such as 100, 150, and 200...
Suppose Sansa lives for two periods. Her preferences are represented as follows: u(c1, c2) = (1+0.8VC2 where cı is today's consumption level and c2 is tomorrow's consumption level. Suppose Bob's income today is yı = 100 and his income tomorrow is y2 = 190. Interest rate is denoted by r. 1. Write down Sansa's optimization problem including the budget set. 2. Determine Sansa's optimal consumption bundle (Cl*, C2*) as a function of r.
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago