led growth in an economy by a growing population. We could also achi growing economy by having and endowment that increases over time. To see this, consider the follo economy: Let the number of young people born in each period be constant at N. There is a constant s of fiat money, M. Each young person born in period t is endowed with yr units of the consumption go when young and nothing when old. The individual endowment grows over time so that ytay-1 when a> 1. For simplicity, assume that in each period t, individuals desire to hold real money balances equ one-half of their endowment, so that vimt=yt/2. PART A: i. 11. *** 111. وك Write down equations that represent the constraints on first and second-period consumption fo typical individual. Show your steps. I ii) Combine these constraints into a lifetime budget constraint. Show your steps. iii) Draw the budget set together with arbitrarily located but correctly shaped indifference cun
led growth in an economy by a growing population. We could also achi growing economy by having and endowment that increases over time. To see this, consider the follo economy: Let the number of young people born in each period be constant at N. There is a constant s of fiat money, M. Each young person born in period t is endowed with yr units of the consumption go when young and nothing when old. The individual endowment grows over time so that ytay-1 when a> 1. For simplicity, assume that in each period t, individuals desire to hold real money balances equ one-half of their endowment, so that vimt=yt/2. PART A: i. 11. *** 111. وك Write down equations that represent the constraints on first and second-period consumption fo typical individual. Show your steps. I ii) Combine these constraints into a lifetime budget constraint. Show your steps. iii) Draw the budget set together with arbitrarily located but correctly shaped indifference cun
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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
Transcribed Image Text:QUESTION 1
In chapter 1 and 2, we modeled growth in an economy by a growing population. We could also achieve a
growing economy by having and endowment that increases over time. To see this, consider the following
economy: Let the number of young people born in each period be constant at N. There is a constant stock
of fiat money, M. Each young person born in period t is endowed with y units of the consumption good
when young and nothing when old. The individual endowment grows over time so that ytayt-11
a> 1. For simplicity, assume that in each period t, individuals desire to hold real money balances equal to
one-half of their endowment, so that vimt=yt/2.
where
PART A:
1.
11.
111.
Write down equations that represent the constraints on first and second-period consumption for a
typical individual. Show your steps.
I
ii) Combine these constraints into a lifetime budget constraint. Show your steps.
iii) Draw the budget set together with arbitrarily located but correctly shaped indifference curves
on a well labeled graph and point out the equilibrium of this decentralized monetary economy.
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