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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
7.21. Consider the following demand function for money in the United States for the period 1980–1998:
β2 β3 ut
Mt = β1 Yt rt e
where M = real money demand, using the M2 definition of money
Y = real GDP
r = interest rate
To estimate the above demand for money function, you are given the data in Table 7.10.
Note: To convert nominal quantities into real quantities, divide M and GDP by CPI. There is no need to divide the interest rate variable by CPI. Also, note that we have given two interest rates, a short-term rate as mea- sured by the 3-month treasury bill rate and the long-term rate as mea- sured by the yield on 30-year treasury bond, as prior empirical studies have used both types of interest rates.
a. Given the data, estimate the above demand function. What are the in- come and interest rate elasticities of demand for money?
b.
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Instead of estimating the above demand function, suppose you were to fit the function ( M/ Y)t = α1 r α2 eut. How would you interpret the re- sults? Show the necessary calculations.
c. How will you decide which is a better specification? (Note: A formal statistical test will be given in Chapter 8.)
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