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If velocity and aggregate output remain constant at 5and \(1,000billion, respectively, what happens to the price level if the money supply declines from \)400 billion to$300 billion?

Short Answer

Expert verified

Price level falls from$2to$1.63.

Step by step solution

01

Step 1. Define velocity.

A velocity of an item is a function of frequency and is defined as the rate of growth of its location with respect to the criteria of reference.

02

Step 2. What happens to the price level?

MV=PY

At the initial stage:

V=5Y=1,000M=400

So,

4005=P1000P=20001000=2

V=5Y=1,000M=325

3255=P1000P=16251000=1.625

So, price level falls from 2to1.63.

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Most popular questions from this chapter

How would you expect velocity to typically behave over the course of the business cycle?

Explain how the following events will affect the demand for money according to the portfolio theories of money demand:

a. The economy experiences a business cycle contraction

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What happens to nominal GDP if the money supply grows by 17% but velocity declines by 24%?

Go to the St. Louis Federal Reserve FRED database, and find data on the budget deficit (FYFSD), the amount of federal debt held by the public (FYGFDPUN), and the amount of federal debt held by the Federal Reserve (FDHBFRBN). Convert the two 鈥渄ebt held鈥 series to 鈥淎nnual鈥 using the frequency setting. Download all three series into a spreadsheet. Make sure that the rows of data align properly to the correct dates. Note that for the deficit series, a negative number indicates a deficit; multiply the series by 鈥1 so that a deficit is indicated by a positive number. Manipulate the three series so that all data are given in terms of the same units (either millions or billions of dollars). To do this, if a series is in millions and you are converting it to billions, divide the series by 1,000. Finally, for each year, convert the two 鈥渄ebt held鈥 series into one 鈥渃hanges in debt holdings by the public and the Federal Reserve鈥 series by calculating, for each year, the difference in bond holdings from the preceding year.

a. Create a scatter plot showing the deficit on the horizontal axis and the change in bond holdings by the public on the vertical axis, using the data from 1980 through the most recent period of data available. Insert a fitted line into the scatter plot, and comment on the relationship between the deficit and the change in public bond holdings.

b. Create a scatter plot showing the deficit on the horizontal axis and the change in bond holdings by the Federal Reserve on the vertical axis, using the data from 1980 through the most recent period of data available. Insert a fitted line into the scatter plot, and comment on the relationship between the deficit and the change in Federal Reserve bond holdings.

c. Now repeat part (b), but create separate scatterplots for the period of 1980 to 2007, and 2008 to the most recent year. Comment on how, if at all, the monetizing of the debt is exhibited in the data. Do you think the relationship between the deficit and the change in bond holdings of the Federal Reserve has changed since 2008? Why or why not?

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