Question 1: (20 points)
Suppose the current money supply (M) in Country \( \mathrm{X} \) is \( \$ 500 \) billion, the nominal GDP is \( \$ 10 \) trillion, and the real GDP \( (\mathrm{Y}) \) is \( \$ 5 \) trillion. Suppose that velocity is constant and the economy 's output of goods and services rises by 5 percent each year.
a. Calculate the current price level \( (\mathrm{P}) \). ( \( 5 \mathrm{pts} \) )
b. Caloulate the velocity of money \( (\mathrm{V} \) ) in Country X. ( 5 pts)
c. If the central bank increases the money supply to \( \$ 750 \) billion while the real GDP remains constant, what will the new price level \( (\mathrm{P}) \) be? ( 5 pts)
d. Using a diagram, explain the economic theory behind the change in the price level when the money supply is increased, assuming the real GDP is constant. ( 5 pts)