Reference no: EM133665250
Problem
I. Given the anticipated rate of inflation (i) of 1.7% and the real rate of interest (R) of 1.4%, find the nominal rate of interest (r).
II. Given the rate information in the table below, estimate the nominal rate for a AA-rated corporate bond. Assume a liquidity premium of 8 basis points. Identify as part of your answer the inflation risk premium, the default risk premium, the maturity premium, and the liquidity premium.
3-month T-bills 2.0%
30-year Treasury bonds 5.0%
AA-rated corp. bonds 8.0%
Inflation Rate 1.0%
III. An investor buys a 20-year Bbb-rated corporate bond with a nominal annual rate of return of 10%. The average inflation rate is expected to be 2%. The default risk premium is expected to be 5% and the maturity premium is 4%. Calculate the real rate of interest.
IV. The current rate of return on a one-year U.S. Government security is 3%. The rate of return on a two-year U.S. Government security is 5%. According to the expectations theory, what is the return on a one-year U.S. Government security purchased one year from today?
V. The date today is January 1, 2010. A one-year security maturing on 1/1/11 yields 3%. A two-year security maturing on 1/1/12 yields 6%. A three-year security maturing on 1/1/13 yields 11%. Calculate the expected annual return on a two-year security beginning 1/1/11 and maturing on 1/1/13.