Suppose that the money demand function takes the form (M/P)d = L(i, Y) = Y/(5i)^a. If output grows at rate g, at what rate will the demand for real balances grow (assuming constant nominal interest rates)? What is the velocity of money in this economy? If inflation and nominal interest rates are constant, at what rate, if any, will velocity grow? How will a permanent (once-and-for-all) increase in the level of interest rates affect the level of velocity? How will it affect the subsequent growth rate of velocity?
Added by Andrea W.
Step 1
The money demand function is given as \((M/P)^d = L(i, Y) = \frac{Y}{(5i)^a}\), where \(M\) is the nominal money supply, \(P\) is the price level, \(i\) is the nominal interest rate, \(Y\) is the output, and \(a\) is a parameter. Show more…
Show all steps
Your feedback will help us improve your experience
Rashmi Sinha and 54 other Macroeconomics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose that the money demand function takes the form: (M/P)^d = L(i,Y) = Y/10i. (a) Provide economic intuition on the functional form of the real money demand function. (b) If output grows at a rate g and the nominal interest rate is constant, at what rate will the demand for real balances grow? (c) What is the velocity of money in this economy? (d) If inflation and nominal interest rates are constant, what rate will velocity grow? (e) If the central bank wants to achieve a long-run target inflation rate of π, at what rate should the money supply grow?
Nick J.
Suppose a country has a money demand function (M/P) = kY, where k is a constant parameter. The money supply grows by 12 percent per year, and real income grows by 4 percent per year. a. What is the average inflation rate? b. How would inflation be different if real income growth were higher? Explain c. How do you interpret the parameter k? What is its relationship to the velocity of money? Suppose, instead of a constant money demand function, the velocity of money in this economy was growing steadily because of financial innovation. How would that affect the inflation rate? Explain.
Jennifer S.
Suppose we observed an economy in which changes in the money supply produce no changes whatsoever in nominal GDP. What could we conclude about velocity?
Andrew D.
Recommended Textbooks
Principles of Economics
Macroeconomics
Economics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD