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%. Calculate the interest rate for two-year bonds, based on the expectations theory. What about five-year bonds?
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- Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer: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?Suppose 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.
- According 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?According to the expectations theory, what will be the interest rate on a three-year bond if the two-year term premium is 1.0% while the three- year term premium is 2.0%, and a one-year bond has an interest rate of 4% and is expected to have an interest rate of 5% next year and 6% in two year? Select one: O a. 5.0% O b. 15.0% O c. 4.0% O d. 6.0%According to the expectations theory of the term structure of interest, if the 1-year bond rate today is 6% p.a. and the 2-year bond rate today is 7% p.a., what is the 1-year bond rate next year? A. 6% B. 6.75% C. 7.5% D. 8%
- You consider purchasing bonds today. There are three future time periods, t = 1, 2, 3, wherebonds can have payoffs. Consider the following 4 bonds: a) One amortizing bond paying $40 each period trading at a price of $104.95.b) One amortizing bond paying less in early periods and more in later periods. The bond pays $40 inperiod 1, $30 in period 2, and $20 in period 3. This bond is trading at a price of $80.61.c) One coupon bond with a 11% coupon rate trading at a price of $96.08.d) One zero coupon, which currently trades at a price of $77.22. Suppose you can take long or short positions in any bond, and also lend or borrow money. Is it possibleto construct an arbitrage trade where you pay nothing upfront, and get a certain payoff in period 1? If so,describe how you would do this trade.Which has morereinvestment rate risk: a 1-year bond or a 10-yearbond?According to the expectations theory, what will be the interest rate on a three-year bond if the two-year term premium is 1.0% while the three-year term premium is 2.0%, and a one-year bond has an interest rate of 4% and is expected to have an interest rate of 5% next year and 6% in two year? Select one: Oa. 6.0% O b. 15.0% Oc. 5.0% O d. 4.0%
- A bond promises to pay $150 in one year. What is the interests rate on the bond if its price today is $65,$75 and $85?What is interest rate (or price) risk? Which bondhas more interest rate risk: an annual payment1-year bond or a 10-year bond? Why?3. Assume that as of today, the annualized interest rate for a seven-year bond is 10percent, while the annualized interest rate for a three-year bond is 7 percent. Use onlythis information to estimate the annualized interest rate for a four-year bond expectedin three years. Use the geometric average method. Make sure to show your work.