Assume that the demand for real money balance (M / P) is M / P = 0.8Y – 200i, where Y is national income, and i is the nominal interest rate (in percent). The real interest rate r is fixed at 5 percent by the investment and saving functions. The expected inflation rate equals the rate of nominal money growth.  If Y is 2,500, P is 1.2, and the growth rate of nominal money is 2 percent, what must i and M be?  Show all your work, show formula used and explain why.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter13: Inflation
Section: Chapter Questions
Problem 12SQ
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Assume that the demand for real money balance (M / P) is M / P = 0.8Y – 200i, where Y is national income, and i is the nominal interest rate (in percent). The real interest rate r is fixed at 5 percent by the investment and saving functions. The expected inflation rate equals the rate of nominal money growth.  If Y is 2,500, P is 1.2, and the growth rate of nominal money is 2 percent, what must i and M be?  Show all your work, show formula used and explain why.

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