The economy operates based on the assumptions of the Solow model. There is no population growth...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The economy operates based on the assumptions of the Solow model. There is no population growth and technological progress. We know the following information: The production function: Y₁ =zK&N-a The evolution of capital stock: Kt+1 = (1-8) Kt + It The equilibrium condition at the goods market: It = St= syt a) Derive the output per worker production function (y₁ =). b) Derive the long-run steady-state equilibrium levels of capital per worker k* = (K)* in terms of the saving rate (s), the depreciation rate (6), and the other parameters (z, a). Explain why and how s and 8 affect k*. c) Derive the equation for steady-state output per worker (y* = ()*), the steady-state investment per worker (i* = ()*) and the steady-state consumption per worker (e* = ()*) and in terms of s, 6 and the other parameters (z, a). Explain why and how s and 6 affect y,c* and i*. d) Suppose that 8 = 10%, s = 6.5%, z = 10, a= 0.45 and the economy is in steady-state. Calculate the following steady-state values: k*,y*, c* and i*. e) Show these solutions for k", y,c* and i* on the Solow-Swan diagram. f) Suppose the saving rate, ceteris paribus increases from its initial level of 6.5% to 8%. Calculate the new steady-state value: k*, y,c* and i*. Show these change on your Solow-Swan diagram. The economy operates based on the assumptions of the Solow model. There is no population growth and technological progress. We know the following information: The production function: Y₁ =zK&N-a The evolution of capital stock: Kt+1 = (1-8) Kt + It The equilibrium condition at the goods market: It = St= syt a) Derive the output per worker production function (y₁ =). b) Derive the long-run steady-state equilibrium levels of capital per worker k* = (K)* in terms of the saving rate (s), the depreciation rate (6), and the other parameters (z, a). Explain why and how s and 8 affect k*. c) Derive the equation for steady-state output per worker (y* = ()*), the steady-state investment per worker (i* = ()*) and the steady-state consumption per worker (e* = ()*) and in terms of s, 6 and the other parameters (z, a). Explain why and how s and 6 affect y,c* and i*. d) Suppose that 8 = 10%, s = 6.5%, z = 10, a= 0.45 and the economy is in steady-state. Calculate the following steady-state values: k*,y*, c* and i*. e) Show these solutions for k", y,c* and i* on the Solow-Swan diagram. f) Suppose the saving rate, ceteris paribus increases from its initial level of 6.5% to 8%. Calculate the new steady-state value: k*, y,c* and i*. Show these change on your Solow-Swan diagram.
Expert Answer:
Answer rating: 100% (QA)
a The output per worker production function is yt YtNt zKtNt b The steady state equil... View the full answer
Related Book For
Understanding Basic Statistics
ISBN: 9781111827021
6th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
Posted Date:
Students also viewed these economics questions
-
9. Solve Laplace's equation for the electrostatic potential in the two dimensional region 0 x a and - < y < for the boundary conditions (x = 0, y) = G(y) a y+a2 vo, (x = a,y) = H(y) = o e
-
Company XYZ produces goods with usable output of 400 units by working 8-hour day. Goods are produced by four workers with a consumption of 600 pounds of material. Each worker gets wage of $30;...
-
The voltage held by a voltage regulator follows a normal random variable with a mean that equals 200 volts and a standard deviation that equals 5 volts. A regulator meets the specifications if the...
-
At the beginning of the year, Dillon Company budgeted overhead of $180,000 as well as 15,000 direct labour hours. During the year, Job K456 was completed with the following information: direct...
-
On October 2, 2020, Laplante Company sold $6,000 of its elite camping gear (with a cost of $3,600) to Lynch Outfitters. As part of the sales agreement, Laplante includes a provision that if Lynch is...
-
This case arose after Felix DeWeldon, a well-known sculptor and art collector, sold three paintings to Robert McKean in 1994. Felix DeWeldon declared bankruptcy in 1991. In 1992, DeWeldon, Ltd.,...
-
You intend to use MUS as a part of the audit of several accounts for Roynpower Manufacturing Company. You have done the audit for the past several years, and there has rarely been an adjusting entry...
-
You are the COO managing the operations of a robo-advisor and you need to ensure that all the stock holdings in the portfolios under management are kept up to date. Given the following inputs in...
-
You are considering opening a pizza restaurant in your town. Describe the production process that you envision taking place to deliver a fully cooked pizza to a customer. What components would be in...
-
State whether or not the following statements are true or false. If the state- ment is true prove it, if it is false prove it is false, possibly, by giving a counter example. (i) Va, b R, Va+b= a+b....
-
Explain the concept of replacing inventory by information within an organization. Why should a customer be concerned about transit inventory cost, if they pay for the inventory only when the...
-
Write an Argument essay about Single Parent Struggle Find at least three (3) sources to support your argument. Add in-text citations from these sources to your paper in order to support your thesis....
-
Ponder about a clock pulse with 50 MHz frequency. A flip-flop is used to divide the frequency by 2 (you do NOT need to know what a flip-flop is, or how it works at this stage). Ourgoal is to get a...
-
A 70 C charge is located at a point where the electric potential is 300 V. What is the electric potential energy of this charged particle? A. How much time is needed to transfer a 4 C charge acted on...
-
Accounting Mr. Hayno bought a car in installments, with title immediately transferred to him, but with a mortgage constituted on the car. Out of installment price of P550,000, P440,000 was already...
-
QUESTION 2 The CEO of Farisha Hijab Sdn Bhd insisted on further investigation to be carried out that he also required Mr Muaz to conduct the analysis of variance for the material and labour of the...
-
Find z such that 99% of the area under the standard normal curve lies between z and z.
-
(a) Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with four possible responses. (b) Probability Extension Assuming that you are guessing...
-
Consider a binomial experiment with n = 20 trials and p = 0.40. (a) Find the expected value and the standard deviation of the distribution. (b) Interpretation Would it be unusual to obtain fewer than...
-
Look back at Table 15.1. Show that y4 will exceed y3 if and only if the forward interest rate for period 4 is greater than 7%, which is the yield to maturity on the 3-year bond, y3. Table 15.1...
-
Suppose the interest rate decreases to 9% as an annual percentage rate. What will happen to the prices and durations of the two bonds in Spreadsheet 16.1? A B C D E F G 1 Time until PV of CF 2...
-
a. In Concept Check 16.1, you calculated the price and duration of a 2-year maturity, 8% coupon bond making semiannual coupon payments when the market interest rate is 9%. Now suppose the interest...
Study smarter with the SolutionInn App