1. Solow review Recall that in equilibrium, the "birth and death of capital lines" cross so that: (nd)k=sy = ska a) Use some algebra to solve for equilibrium value of k. b) Compare this to r-code for k[t] in the loop of the function. What if any differences to do you see? c) Let a = .3, d = .1, and s = .25. What will be the ratio of steady state capital per person with a population growth rate of 0.25% to that of a population with growth rate 0.5%? (These is roughly in line with the difference between the two scenarios for 2010 to 2060.) Is this much of a difference? (1 sentence is fine.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.11P
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1. Solow review
Recall that in equilibrium, the "birth and death of capital lines" cross so that:
(n + d)k = sy = sk°
a) Use some algebra to solve for equilibrium value of k.
b) Compare this to r-code for k[t] in the loop of the function. What if any differences to do
you see?
c) Let a = .3, d = .1, and s = .25. What will be the ratio of steady state capital per
person with a population growth rate of 0.25% to that of a population with growth rate
0.5%? (These is roughly in line with the difference between the two scenarios for 2010 to
2060.) Is this much of a difference? (1 sentence is fine.)
Transcribed Image Text:1. Solow review Recall that in equilibrium, the "birth and death of capital lines" cross so that: (n + d)k = sy = sk° a) Use some algebra to solve for equilibrium value of k. b) Compare this to r-code for k[t] in the loop of the function. What if any differences to do you see? c) Let a = .3, d = .1, and s = .25. What will be the ratio of steady state capital per person with a population growth rate of 0.25% to that of a population with growth rate 0.5%? (These is roughly in line with the difference between the two scenarios for 2010 to 2060.) Is this much of a difference? (1 sentence is fine.)
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