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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Using the phase diagram to analyze the impact of unanticipated and anticipated temporary changes. Analyze the following two variations on Problem 2.11:
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(a) At time 0, the government announces that it will tax investment income at rate Ï„ from time 0 until some later date t1; thereafter investment income will again be untaxed.
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(b) At time 0, the government announces that from time t1 to some later time t2, it will tax investment income at rate Ï„; before t1 and after t2, investment income will not be taxed.
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Problem 11
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Using the phase diagram to analyze the impact of an anticipated change. Consider the policy described in Problem 2.10, but suppose that instead of announcing and implementing the tax at time 0, the government announces at time 0 that at some later time, time t1, investment income will begin to be taxed at rate Ï„.
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(a) Draw the phase diagram showing the dynamics of c and k after time t1.
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(b) Can c change discontinuously at time t1? Why or why not?
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(c) Draw the phase diagram showing the dynamics of c and k before t1.
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(d) In light of your answers to parts (a), (b), and (c), what must c do at time 0?
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(e) Summarize your results by sketching the paths of c and k as functions of time.
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