1. Graph investors' long-term expected inflation rate since 2003 by subtracting from the 10-year U.S. Treasury bond yield (FRED code: GS10) the yield on 10-year Treasury Inflation-Protected Securities (FRED code: FII10). a. Do these market-based inflation expectations appear stable? Did the financial crisis of 2007-2009 affect these expectations?
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- 1, Consider the following table for an eight-year period: Year T-bill return Inflation 1 7.47% 8.53% 2 8.94 12.16 3 6.05 6.76 4 5.97 5.04 5 5.63 6.52 6 8.54 8.84 7 10.74 13.11 8 13.00 12.34 a, Calculate the average return for Treasury bills and the average annual inflation rate (consumer price index) for this period. b, Calculate the standard deviation of Treasury bill returns and inflation over this time period. c, Calculate the real return for each year. d, What is the average real return for Treasury bills?An investor in Treasury securities expects inflation to be 2.1%in Year 1, 2.7% in Year 2, and 3.65% each year thereafter. Assume that the real risk-free rateis 1.95% and that this rate will remain constant. Three-year Treasury securities yield 5.20%,while 5-year Treasury securities yield 6.00%. What is the difference in the maturity riskpremiums (MRPs) on the two securities; that is, what is MRP5 - MRP3?Due to a recession, expected inflation this year is only 1.75%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 1.75%. Assume that the expectations theory holds and the real risk-free rate (r*) is 1.5%. If the yield on 3-year Treasury bonds equals the 1-year yield plus 0.5%, what inflation rate is expected after Year 1? Round your answer to two decimal places.
- Assume that it is now 3rd January, 2010. The rate of inflation is expected to be 6 percent throughout 2010. However, increased government deficits and renewed vigor in the economy are then expected to push inflation rates higher. Investors expect the inflation rate to be 7 percent in 2011, 8 percent in 2012, 9 percent in 2013 and 11 percent in 2014. The real risk-free rate, k*, is expected to remain at 4 percent over the next 6 years. Assume that no maturity risk premiums are required on bonds with 5 years or less to maturity. The current interest rate on 6-year T-bonds is 12 percent. Required: What is the average expected inflation rate over the next 5 years? What should be the prevailing interest rate on 5-year T-bonds? What is the implied expected inflation rate in 2015, or Year 6, given that Treasury bonds which mature in that year yield 12 percent?The market has an expected rate of return of 11.6 percent. The long-term government bond is expected to yield 4.8 percent and the U.S. Treasury bill is expected to yield 1.0 percent. The inflation rate is 3.2 percent. What is the market risk premium? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)The inflation rate in the United States has averaged 3% a year since 1900. Use the data in the table below to answer the following question: Average rates of return on Treasury bills, government bonds, and common stocks, 1900–2020. Portfolio Average Annual Rate of Return (%) Average Premium (Extra return versus Treasury bills) (%) Treasury bills 3.7 Treasury bonds 5.4 1.7 Common stocks 11.5 7.8 What was the average real rate of return on Treasury bills, Treasury bonds, and common stocks in that period? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.
- An investor in Treasury securities expects inflation to be 2.4% in Year 1, 2.9% in Year 2, and 4.05% each year thereafter. Assume that the real risk-free rate is 2.35% and that this rate will remain constant. Three-year Treasury securities yield 6.50%, while 5-year Treasury securities yield 8.00%. What is the difference in the maturity risk premiums (MRPs) on the two securities; that is, what is MRP5 - MRP3? Do not round intermediate calculations. Round your answer to two decimal places. _____%Currently, 3-year Treasury securities yield8.7%,7-year Treasury securities yield8.4%, and 10 -year Treasury securities yield8.2%. If the expectations theory is correct, what does the market expect will be the yield on 3-year Treasury securities seven years from today? 8.13%8.33%7.73%7.53%7.93%Unbiased Expectations Theory Suppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows 1R1=4.85%, E(2r1) =5.85%, E(3r1) =6.35%, E(4r1)=6.70% Using the unbiased expectations theory, what is the current (long-term) rate for four-year-maturity Treasury securities?