The total money supply M has two components: bank deposits D and cash holdings C, which we assume to bear a constant ratio C/D = c, 0 < c < 1. The high-powered money H is defined as the sum of cash holdings held by the public and the reserves held by the banks Bank reserves are a fraction of bank deposits, determined by the reserve ratio r, 0

Macroeconomics
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Author:Roger A. Arnold
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Chapter13: The Federal Reserve System
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The total money supply M has two components: bank deposits D and cash
holdings C, which we assume to bear a constant ratio C/D = c, 0 < c < 1.
The high-powered money H is defined as the sum of cash holdings held by the
public and the reserves held by the banks Bank reserves are a fraction of bank
deposits, determined by the reserve ratio r, 0 < r < 1.
(a) Express the money supply M as a function of high-powered money H.
(b) Would an increase in the reserve ratio r raise or lower the money supply?
(c) How would an increase in the cash-deposit ratio c affect the money supply?
Transcribed Image Text:The total money supply M has two components: bank deposits D and cash holdings C, which we assume to bear a constant ratio C/D = c, 0 < c < 1. The high-powered money H is defined as the sum of cash holdings held by the public and the reserves held by the banks Bank reserves are a fraction of bank deposits, determined by the reserve ratio r, 0 < r < 1. (a) Express the money supply M as a function of high-powered money H. (b) Would an increase in the reserve ratio r raise or lower the money supply? (c) How would an increase in the cash-deposit ratio c affect the money supply?
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