Suppose the following assumptions hold for one market:
i) the public holds no currency
ii) the required reserve ratio is 20%
iii) the money demand is given by: M^(d)=$Y(0.8-2i)
iv) initially, the monetary base is $100 billion and a nominal income is $5 trillion
1. Write the demand function for central bank money.
2. What is the size of the Money Multiplier for this market?
3. Calculate the equilibrium i.
4. If the central bank money is increased to $300 billion, what is the impact on the interest rate? Please use a graph to show the impact of this policy.
5. If the overall money supply increases to $1500 billion, what will be the impact on the interest rate?