Show why a permanent rise in the growth of the money supply induces a jump in the price level at the date at which the rise is announced.

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Macroeconomics Assignment 2

Tian Ni Zhang

Q3. Show why a permanent rise in the growth of the money supply induces a jump in the price level at the date at which the rise is announced.

Answer:

Recall the Fisher equation, we knows that the nominal interest rate is given by i = r + ? where r is the real interest rate and ? is the inflation rate. While supposing people expect that ? is constant, we derive the quantity of money growth as Mt = (1+ ?) Mo. Using the money neutrality concept we would know that the price will grow by the same proportion as inflation rate. That is Pt = (1+ ?) Po. Hence we get the left side of Figure 1. The money supply curve and the price curve are parallel with the slope of ?. Suppose that from time T there is a permanent increase in the growth of money supply as ?', the money supply curve rotates upward from T, shows that Mt growth faster than before. To examine the change in Pt, on one hand, as money supply increases, the inflation rate rises as well followed by an increase in nominal interest rate. It then reduces the real money demand. This causes an exceed money supply. People tend to buy more goods as they hold more money than they wish. An increase in demand of good put upward pressure on price. On the other hand, at the date when the rise is announced, there is no sudden increase in the growth of the money supply but a tendency to growth faster from then on. Therefore, the money balance will not hold as real money supply (Mt / Pt) exceeds real money demand. To reach new money balance, price jumps so as to cut back on real money supply and equals the reduced money supply.
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Q4. The inflation tax works only when inflation is unexpected. Explain. Do commercial banks benefit or lose from the inflation tax?

Answer:

There are three main ways in which a government can raise its revenue. On of these is by printing money. This method reacts as imposing an inflation tax. When government prints money as its need to finance its spending, the increase money supply gives birth to inflation. Inflation performs as the value of money in the hand of public falls, therefore as imposing a tax on holding money.

Usually, commercial banks set contracts ...

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