Exercise 3. Consider a money demand function L(i, Y;) => Pt (i, Y) and M? Mt, where | Y; denotes output and i denotes the nominal interest rate. Suppose that i, = 3% and Y, = 100 for t = 0, 1, 2, . . .. Suppose further that the money supply, M, grows at 1% for t= 0, 1, 2, . . .. 1. What is the inflation rate in periods t= 1, 2, 3, .. .? Explain. 2. Assuming that agents have perfect foresight, what is the real interest rate for t= 1, 2, . ..?

Survey Of Economics
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ISBN:9781337111522
Author:Tucker, Irvin B.
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Chapter13: Inflation
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Exercise 3. Consider a money demand function L(i,, Y) =
>
Pt
(i, Y) and M = Mt, where||
Y, denotes output and i denotes the nominal interest rate. Suppose that i = 3% and Y;
= 0, 1, 2, . . .. Suppose further that the money supply, M, grows at 1% for t= 0, 1, 2, . .
100 for t
||
1. What is the inflation rate in periods t= 1, 2, 3, .. .? Explain.
2. Assuming that agents have perfect foresight, what is the real interest rate for t= 1, 2, . . .?
Transcribed Image Text:Exercise 3. Consider a money demand function L(i,, Y) = > Pt (i, Y) and M = Mt, where|| Y, denotes output and i denotes the nominal interest rate. Suppose that i = 3% and Y; = 0, 1, 2, . . .. Suppose further that the money supply, M, grows at 1% for t= 0, 1, 2, . . 100 for t || 1. What is the inflation rate in periods t= 1, 2, 3, .. .? Explain. 2. Assuming that agents have perfect foresight, what is the real interest rate for t= 1, 2, . . .?
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