Consider the following model. In each period t, there are two generations, young and old. There...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the following model. In each period t, there are two generations, young and old. There is no population growth. When young, individuals receive labour income w, by supplying one unit of labour to firms. When old, they receive labour income w+1 by supplying one unit of labour to firms. The wage rate in each period is determined in competitive markets. The preferences of young generations are log(c) + Blog(c2,1+1), where the c's denote consumption. When young, people can save in the form of capital kt+1, which they rent out to firms when old at the constant rental rate r. Assume that in period t people know the wage and rental rates in that period and form rational expectations when forecasting next period's wage and rental rates. Furthermore, we restrict the analysis to equilibria satisfying 8(1+r-6)= 1. Firms hire capital and labour in competitive markets and operate a production function Y = K + AN, where > 0 is the marginal product of capital, K, is aggregate capital and N, is aggregate labour in period t. The firms choose K, and N, to maximise profits. Show that an increase in the productivity factor A> 0 leaves gross investment unchanged. Subsequently, provide an example of a particular type of technological improvement which leads to an increase in gross investment. Show your workings. [25 marks] Consider the following model. In each period t, there are two generations, young and old. There is no population growth. When young, individuals receive labour income w, by supplying one unit of labour to firms. When old, they receive labour income w+1 by supplying one unit of labour to firms. The wage rate in each period is determined in competitive markets. The preferences of young generations are log(c) + Blog(c2,1+1), where the c's denote consumption. When young, people can save in the form of capital kt+1, which they rent out to firms when old at the constant rental rate r. Assume that in period t people know the wage and rental rates in that period and form rational expectations when forecasting next period's wage and rental rates. Furthermore, we restrict the analysis to equilibria satisfying 8(1+r-6)= 1. Firms hire capital and labour in competitive markets and operate a production function Y = K + AN, where > 0 is the marginal product of capital, K, is aggregate capital and N, is aggregate labour in period t. The firms choose K, and N, to maximise profits. Show that an increase in the productivity factor A> 0 leaves gross investment unchanged. Subsequently, provide an example of a particular type of technological improvement which leads to an increase in gross investment. Show your workings. [25 marks]
Expert Answer:
Answer rating: 100% (QA)
Impact of Productivity Increase on Gross Investment 1 Unchanged Gross Investment An increase in the productivity factor A in the model does not lead t... View the full answer
Related Book For
Modeling Monetary Economies
ISBN: 978-1107145221
4th Edition
Authors: Bruce Champ, Scott Freeman, Joseph Haslag
Posted Date:
Students also viewed these finance questions
-
What is the price of the following bond? Face Value: $1,000 YTM (Yield of comparable bonds): 8% Coupon: 8% Maturity: 8 years Round your answer to the nearest two decimals. Do not type the $ symbol.
-
The plank you are going to walk has a length and a mass as shown in the picture below. The plank is not bolted down but is to be placed so that a bit of the plank is actually in contact with the...
-
Aneko Company reports the following ($000s): net sales of $14,800 for 2018 and $13,990 for 2017; end-of-year total assets of $19,100 for 2018 and $17,900 for 2017. Compute its total asset turnover...
-
Which is the predictor variable (X) and which is the criterion variable (Y) for each of the following examples? (a) A researcher tests whether the size of an audience can predict the number of...
-
The comparative financial statements prepared at December 31, 2015, for Prince Company showed the following summarized data: 2015 2014 Income statement: Sales revenue $190,200* $168,600 Cost of goods...
-
What are some issues with glide ratio charts?
-
Farrior Fashions needs to replace a beltloop attacher that currently costs the company $40,000 in annual cash operating costs. This machine is of no use to another company, but it could be sold as...
-
Find an acquaintance willing to watch a short clip of a car crash (it is no worse than what you'd see on Mythbusters): Tell them this explicitly - "My professor is asking us to do the assignment to...
-
Please explain the following: 1. In Scene 2 of Dutchman, Clay embarks on a rage-filled monologue against Lula and the idea that she understands anything about African American experience. What are...
-
After we make our initial sourcing decision based on the lowest total (landed) cost, we get hit with unexpected supply chain disruption which clogs the port of Long Beach and delays shipments adding...
-
What can fill in the blank so the play() method can be called from all classes in the com. mammal package, but not the com.mammal.gopher package? A. Leave it blank. B. private C. protected D. public...
-
Which statements about static interface methods are correct? (Choose three.) A. A static interface method can be final. B. A static interface method can be declared private. C. A static interface...
-
Which of the following lines of code are not permitted as the first line of a Java class file? (Choose two.) A. import widget. *; B. // Widget Manager C. int facilityNumber; D. package sprockets; E....
-
How many objects are eligible for garbage collection right before the end of the main() method? A. None. B. One. C. Two. D. Three. E. The code does not compile. 1: public class Person { 2: public...
-
Fill in the blanks with the only option that makes this statement false: A(n) ______________ can access ______________ of the enclosing class in which it is defined. A. static nested class, static...
-
You're the vice president of a large company that makes outdoorfurniture for decks, patios, and pools. Each product line and the firm itself have grown substantially in recent years. Unfortunately,...
-
g(x) = x 5 5x 6 a. Show that g(x) = 0 has a root, , between x = 1 and x = 2. b. Show that the equation g(x) = 0 can be written as x = (px + q) 1/r , where p, q and r are integers to be found. The...
-
Suppose utility equals In (c 1,t ) + In (c 2 , t +1 )where In (c)represents the natural logarithm of c, whose derivative equals 1/c. The parameter is a positive number. a. Prove that real money...
-
Consider an overlapping generations model with 200 lenders and 100 borrowers born in every period. Everyone lives for only two periods. Each lender is endowed with 20 goods when young and nothing...
-
Assume that the utility function of people in the economy described in Exercise 3.6 is log (c 1,t ) + log (c 2,t+1 ). a. Find the real demand for money (q = v t m t ) as a function of z and . b. Find...
-
A hydraulic lift in a service station has a \(32.50-\mathrm{cm}\)-diameter ram that slides in a \(32.52-\mathrm{cm}\)-diameter cylinder. The annular space is filled with SAE 10 oil at \(20^{\circ}...
-
A 10-kg block slides down a smooth inclined surface as shown in Fig. P1.80. Determine the terminal velocity of the block if the \(0.1-\mathrm{mm}\) gap between the block and the surface contains SAE...
-
Oil (absolute viscosity \(=0.0003 \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\), density \(=50\) \(\mathrm{lbm} / \mathrm{ft}^{3}\) ) flows in the boundary layer, as shown in Fig. P1.82. The plate...
Study smarter with the SolutionInn App