12. A Treasury note with a maturity of four years carries a nominal
rate of interest of 10 percent. In contrast, an eight-year Treasury
bond has a yield of 8 percent.
a. If inflation is expected to average 7 percent over the first four
years, what is the expected real rate of interest?
b. If the inflation rate is expected to be 5 percent for the first
year, calculate the average annual rate of inflation for years
2 through 4.
c. If the maturity risk premium is expected to be zero between
the two Treasury securities, what will be the average annual
inflation rate expected over years 5 through 8?
12. A Treasury note with a maturity of four years carries a nominal
rate of interest of 10 percent. In contrast, an eight-year Treasury
bond has a yield of 8 percent.
a. If inflation is expected to average 7 percent over the first four
years, what is the expected real rate of interest?
b. If the inflation rate is expected to be 5 percent for the first
year, calculate the average annual rate of inflation for years
2 through 4.
c. If the maturity risk premium is expected to be zero between
the two Treasury securities, what will be the average annual
inflation rate expected over years 5 through 8?