Concept explainers
(a)
Introduction:
Treasury bonds (T-bonds):
These bonds involve earning periodic interest up to maturity (greater than 20 years) and consider government debt securities that are issued by the Federal government of the country.
Expectations theory:
Based on long-term (current) interest rates this theory
To determine: The expected one-year interest rates in the second year by using the expectation theory when the interest rate on one-year treasury bonds is 0.4%, 0.8% on two-year bonds, and 1.1% on three-year T-bonds.
(b)
Introduction:
Treasury bonds (T-bonds):
These bonds involve earning periodic interest up to maturity (greater than 20 years) and consider government debt securities that are issued by the Federal government of the country.
Expectations theory:
Based on long-term (current) interest rates this theory forecasts the short-term interest rates for the future where an investor receives the same amount of interest by investing in two (one-year bond and two-year bond), one after the other year. It is useful to calculate the expected returns and differentiate the investment returns in business.
To determine: The expected one-year interest rates in the third year by using the expectation theory when the interest rate on one-year treasury bonds is 1%, 0.9% on two-year bonds, and 0.8% on three-year T-bonds.
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- The interest rate on one-year Treasury bonds is 1.1 percent, the rate on two-year T-bonds is 1.3 percent, and the rate on three-year T-bonds is 1.5 percent. Using the expectations theory, compute the expected one-year interest rate in the second year (Year 2 only). Round your answer to one decimal place. _________ % Using the expectations theory, compute the expected one-year interest rate in the third year (Year 3 only). Round your answer to one decimal place. _________ %arrow_forwardThe three-year interest rate is 7.40% and the four-year interest rate is 8.6%. The liquidity premium for three-year and four-year bonds are 0.40 and 0.60 respectively. Calculate the adjusted forward rate forecast for three-year periods in the futurearrow_forwardThe 3-year interest rate is 6.60%, and the 4-year interest rate is 7.90%. The liquidity premia for 3- and 4-year bonds are 0.60% and 0.9%, respectively. Calculate the adjusted forward-rate forecast for 3 periods in the future. (Round your answer to two decimal points.)arrow_forward
- 1) Suppose that today's one-year interest rate is 5%. Consider the following one-year interest rates expected to occur over the next four years: 6%, 7%, 8% and 9%.a. Calculate the interest rate for two-year bonds, based on the expectations theory.b. What about five-year bonds?arrow_forwardSuppose you can observe that 1-year bond interest rate is 4%, 2-year bond interest rate is 8%, and 3-year bond interest rate is 10% at time t. It is also known that the term premium on a 2-year bond is 1% and the term premium on a 3-year bond is 1.5%. a) What are the market's expected 1-year bond interest rates for the next two years from time t? b) How to interpret those expected short-term interest rates? (what would be the "possible" economic meanings in the expected short- term interest rates?) Discuss as least two "candidates" to explain them.arrow_forwardSuppose that the interest rate on one-year bonds is currently 4 percent and is expected to be 5 percent in one year and 6 percent in two years. Using the expectations hypothesis, compute the yields on two- and three-year bonds and plot the yield curve.arrow_forward
- Suppose the yield on a two-year-old Treasury bond is 5 percent and the yield on a one-year Treasury bond is a 4 percent. If the maturity risk premium (MRP) on these bonds is zero (0), what is the expected one-year interest rate during the second year (Year 2)?arrow_forwardAccording to the expectations theory of the term structure of interest, if the 1-year bond rate today is 6.50% p.a., the 2-year bond rate today is 6.70% p.a., and the 3-year bond rate today is 7.00%, what will be the 2-year bond rate next year?arrow_forwardThe current 1-year, 2-year, and 3 year bond interest rates are 4%, 5%, and 6%, respectively. The expectations theory of the term structure predicts that the expected 1-year bond interest rate is ___% next year and _____% the year after.arrow_forward
- Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %arrow_forwardOne-year government bonds yield 6 percent and 2-year government bonds yield 5.5 percent. Assume that the expectations theory holds. What does the market believe the rate on 1-year government bonds will be one year from today?arrow_forwardInterest rates determine the present value of future amounts. (Round to the nearest dollar.) Read the requirements. View the Present Value of $1 table. View the Future Value of $1 table. View the Present Value of Ordinary Annuity of $1 table. View the Future Value of Ordinary Annuity of $1 table. Requirement 1. Determine the present value of seven-year bonds payable with face value of $91,000 and stated interest rate of 14%, paid semiannually. The market rate of interest is 14% at issuance. (Round intermediary calculations and final answer to the nearest whole dollar.) Present Value 91000 When market rate of interest is 12% annually C When market rate of interest is 14% annually Requirement 2. Same bonds payable as in requirement 1, but the market interest rate is 16%. (Round intermediary calculations and final answer to the nearest whole dollar.) Present Value When market rate of interest is 16% annually Requirement 3. Same bonds payable as in requirement 1, but the market interest…arrow_forward