1. Household Behavior (2pts) We start with the household side of the model. We saw in...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Household Behavior (2pts) We start with the household side of the model. We saw in the data that the investment rate in the economy is stable in the long run. Our goal in solving the household side of the model is to show that household choose to invest a constant share of income. Households have utility u(C, I) over consumption C and investment I. The household has income Y which it spends on C and I. Therefore the household's maximization problem is: max u(C, I) C,I s.t. YCI (a) Write the Lagrangian for the household's problem (b) Derive the first order conditions (c) Combine the first order conditions to eliminate the Lagrange multiplier. (Hint: If you're looking around for the relative price, it's one!) (d) Suppose that the household's utility function is u(C,I) = C¹-I, with 0 < þ < 1. Rewrite your answer to (c) using this functional form. (e) You now have two equations (the budget constraint and yoru answer from d) and two unknowns (C and I). Use these equations to show that investment I is always the share of income Y. 1. Household Behavior (2pts) We start with the household side of the model. We saw in the data that the investment rate in the economy is stable in the long run. Our goal in solving the household side of the model is to show that household choose to invest a constant share of income. Households have utility u(C, I) over consumption C and investment I. The household has income Y which it spends on C and I. Therefore the household's maximization problem is: max u(C, I) C,I s.t. YCI (a) Write the Lagrangian for the household's problem (b) Derive the first order conditions (c) Combine the first order conditions to eliminate the Lagrange multiplier. (Hint: If you're looking around for the relative price, it's one!) (d) Suppose that the household's utility function is u(C,I) = C¹-I, with 0 < þ < 1. Rewrite your answer to (c) using this functional form. (e) You now have two equations (the budget constraint and yoru answer from d) and two unknowns (C and I). Use these equations to show that investment I is always the share of income Y.
Expert Answer:
Answer rating: 100% (QA)
Household Behavior in the Solow Growth Model a Lagrangian The Lagrangian for the households problem ... View the full answer
Related Book For
Posted Date:
Students also viewed these economics questions
-
"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
What type of business and industry is Fourevr Enterprises? What products or services do Fourevr Enterprises deliver?
-
Privately owned Wenceslas Refining Company is considering investing in the Czech Republic so as to have a refinery source closer to its European customers. The original investment in Czech korunas...
-
Maya and Paul want to watch a movie. There are two movies available: a comedy and an action film. Maya loves comedies whereas Paul enjoys action films. a. As separate individuals, which movie will...
-
What stakeholder affected by their behavior was Gilead weighting very lightly when it decided what to tell the FDA about the medicines it wished to have permission to sell?
-
The fieldwork for the June 30, 2013, audit of Tracy Brewing Company was finished August 19, 2013, and the completed financial statements, accompanied by the signed audit reports, were mailed...
-
What ways can I make my Relational Data Model conversion meet the following requirements listed below? Am I on the right track? What corrections do I need to address? ERD: My Conversion of ERD onto a...
-
1. Using the information in the table, compute the structure of the optimal portfolio W when there are two risky assets, bond fund and stock fund, as well as one risk free asset. r=0.03. Please note...
-
Assume taxes are zero and an economy has a consumption function of C= 0.83 (Yd) + $760.54. How much savings take place if disposable income is equal to 1,856.36? Round your answer to two digits after...
-
With reference to Graph B, at a price of $5, total revenue equals: Price $10- $5 O 20 40 60 80 100 Quantity Graph A Price Dinelastic $10 $5 D B 10 20 30 40 Quantity Graph B DElastic
-
Could you elucidate the concept of a relational database and elaborate on its function in facilitating customer communications within e-commerce enterprises?
-
4. Compare and contrast cost-only analysis and cost and effort analyses with regard to the cost that is included in the analysis. What effects would an underestimation of costs have? What effects...
-
what are the benefits of integrating artificial intelligence for demand forecasting
-
A convex lens has a focal length of 30 cm. If an object is placed 90 cm from the lens, where is the image? Enter your answer in centimeters. QUESTION 2 B. The image formed by the above lens is...
-
Polycythemia vera and secondary polycythemia promote erythropoiesis. Select one: True False
-
A statistical study shows that the fraction of television sets of a certain brand that are still in service after x years is given by f (x) = e-0.15x. (a) What fraction of the sets are still in...
-
(a) A particle starts by moving to the right along a horizontal line; the graph of its position function is shown. When is the particle moving to the right? Moving to the left? Standing still? (b)...
-
Experiments show that if the chemical reaction N2O5 2NO2 + 1/2O2 takes place at 45C, the rate of reaction of dinitrogen pentoxide is proportional to its concentration as follows: - d[N2O5]/dt =...
-
Use Exercise 51 to find (lnx)3dx. In Exercise 51 (ln x)n dx = x(ln x)n - n (ln x)n-1 dx
-
The basketball player from Example 2 is asked to shoot three free throws 100 times. Compute the mean number of free throws made. Approach The player shoots three free throws and the number made is...
-
A term life insurance policy will pay a beneficiary a certain sum of money upon the death of the policyholder. These policies have premiums that must be paid annually. Suppose an 18- year-old male...
-
Find the standard deviation of the discrete random variable given in Table 1 from Example 2. Approach We will use Formula (2a) with the unrounded mean X = 2.39. Approach We will use Formula (2b)...
Study smarter with the SolutionInn App