Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![Consider the Ramsey model seen in class. Assume population grows at rate n, and labour-
augmenting technology grows at rate g. Relative risk aversion is constant and equal to
e.
1. For an initial value of capital per efficiency unit, k(0), use a phase diagram to sketch the different
paths along which the economy may evolve for different levels of c(0) chosen, given the Euler
equation (derived from the household's optimization problem) and the steady state condition from
Solow.
2. Do these paths also satisfy the household budget constraint and the requirement that capital
cannot be negative? Why or why not?
3. Show that steady state capital (per efficiency unit) in the RCK framework is always lower than the
golden rule level. Provide intuition for this result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3060ba61-fc2f-4eda-b743-b0ca8bf1d1ed%2F7e1025c4-b4e8-4753-8520-f95ed24d6b5c%2Fng67t5x_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the Ramsey model seen in class. Assume population grows at rate n, and labour-
augmenting technology grows at rate g. Relative risk aversion is constant and equal to
e.
1. For an initial value of capital per efficiency unit, k(0), use a phase diagram to sketch the different
paths along which the economy may evolve for different levels of c(0) chosen, given the Euler
equation (derived from the household's optimization problem) and the steady state condition from
Solow.
2. Do these paths also satisfy the household budget constraint and the requirement that capital
cannot be negative? Why or why not?
3. Show that steady state capital (per efficiency unit) in the RCK framework is always lower than the
golden rule level. Provide intuition for this result.
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