Suppose the Interest Rate That Banks in Techland Charge One

Essay

Suppose the interest rate that banks in Techland charge one another for overnight loans is 5 percent,the long-term nominal interest rate is 4.5 percent,and the long-term expected inflation rate is 3 percent.
a)What is the long-term expected real interest rate?
b)How will the long-term expected real interest rate be affected if the central bank of Techland starts purchasing government bonds from banks?