1 Inflation and Fiscal Policy (15 points) a. Recall the quantity theory of money discussed in class (e.g. slide 17 in Ch

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1 Inflation And Fiscal Policy 15 Points A Recall The Quantity Theory Of Money Discussed In Class E G Slide 17 In Ch 1 (88.23 KiB) Viewed 75 times

1 Inflation and Fiscal Policy (15 points) a. Recall the quantity theory of money discussed in class (e.g. slide 17 in Chapter 8 slides). Suppose you analyze a country where money velocity is constant over time, the growth rate of real GDP is 3% per year, and the growth rate of money supply is 5% per year. Calculate the long-run growth rate of inflation in this country according to the quantity theory of money. b. Suppose that due to changes in the financial system, the velocity of money increases at 1% per year. What happens to long-run inflation in this case? c. Now, consider the government budget constraint as shown on slide 30 of Chapter 8 slides (or Chapter 8.5 in the textbook). In that part of the class, we argued that issuing money can be used to finance government spending. The (nominal) amount of revenue the government raises from the inflation tax is AM. In this and following points, you will analyze how large the revenue from this inflation tax is, relative to the size of the economy (nominal GDP): 4. Since the change in money supply (AM) is difficult to work with, we should express the revenue as a function of the growth rate of money supply (4 = 9m). Use this definition of the growth rate of money supply to calculate the revenue from the inflation tax as a share of GDP (99) as a function of 9m and other parameters of the economy. You answer should be something like: 4y = 9m. What is x? Can you give an interpretation of it? d. Look at slide 17 in Chapter 8 slides. Take your answer to part c) of this question and use the quantity theory of money to replace the growth rate of money supply (9m) with a term that includes the inflation rate (and other terms, like the growth rate of output) c. How much revenue is raised from inflation tax as a share of GDP? Suppose that we = 10%, and use the equations from part c) and numbers from part a) of this question. Based on your answer, do you think inflation tax is an important source of revenue for the government? 1 f. What if the government is in dire fiscal need and decides to increase the growth rate of money supply to 100%, holding all other variables constant (which is unlikely to hold in real life, but let's not overcomplicate things). With this inflation rate, how much revenue is raised from inflation tax as a share of GDP? With this kind of inflation rate, is inflation tax a significant source of revenue for the government? If the government has no access to other sources of revenue (taxes or borrowing), do you think increasing money supply is a sensible strategy to follow?