1. You are given the information below. The yield on a one-year Treasury zero - coupon bond is 5.25%. - The yield on a two-year Treasury zero is 5.75%. The yield on a three-year Treasury zero is 6.35%. a) Find the one-year forward rate that is expected to take effect one year from now. b) Find the two-year forward rate that is expected to take effect one year from now.
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- 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) % %1. Consider a real return bond with a face value of $15,000 and a coupon yield of 5.2%. What is the coupon payment after one year if the inflation rate is 6.8%? Select one: a) $817.44 b) $833.04 c) $825.24 d) $809.64 ILooking at the Treasury yield curve you see that the two-year Treasury bond is selling at an interest rate of 3.84 percent and the three-year Treasury bond sells at a rate of 3.97 percent. What is the implied one-year interest rate two years from now? (Enter the answer as a percentage accurate to two decimal places. Just enter a number - do not add a % symbol or any other punctuation.)
- In this problem we are going to calculate bond prices and returns Suppose that the yield on a 3 year note is 2.5%. a) Calculate the price of the 3 year note (face value = $1000) with three annual coupon payments (after year 1, after year 2, after year 3) of $30, i.e., the coupon rate is 3.0%. b) Is this note selling at a discount or premium? Explain. Suppose that after one year and after you receive one coupon payment, you decide to sell your note. Your note is now a two year note with one coupon payment after 1 year and another after year 2. Consider the following two scenarios: Scenario #1 - interest rates on what is now a two year note (i.e., your note) have fallen to 1.00% Scenario #2 - interest rates on what is now a two year note (i.e., your note) have risen to 4% c) given scenan d) Calculate the price that you can sell your note for under scenario #1 and the associated rate of return when you sell your note Calculate the price that you can sell your note for under scenario #2…Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)Assume the pure expectation theory holds: If the return on 6 years maturity treasury bill (TB) is 8%, the return on 1-year maturity TB is 6%, the return on a 2 years maturity (TB) is 7%, X is the return on a 3-year maturity bond. a. Calculate X, the forward rate, the return on a 3-year maturity bond, 3 years from today. b. Graph the yield curve c. Based on the yield curve you just derived, what are your expectations of the future performance of the economy?
- Suppose that you buy a two-year 7.3% bond at its face value. a-1. What will be your total nominal return over the two years if inflation is 2.3% in the first year and 4.3% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Nominal return a-2. What will be your real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Real return % % Real return Nominal return b. Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 1%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)?Assume that the real risk-free rate of return, k*, is 3%, and it will remain at that level far into the future. Also assume that maturity risk premiums (MRP) increase from zero for bonds that mature in one year or less to a maximum of 1%, and MRP increases by 0.2% for each year to maturity that is greater than one year-that is, MRP equals 0.2% for two-year bond, 0.4% for a three-year bond, and so forth. Following are the expected inflation rates for the next five years: Year Inflation Rate (%) 2017 5 2018 6 2019 7 2020 8 2021 9 a) Compute the interest rate for a one-, two-, three-, four-, and five-year bond. b) If inflation is expected to equal 9% every year after 2021, what should be the interest rate for a 10- and 20-year bond? c) Plot the yield curve for the interest rates you computed in part [a] and [b]. d) Based on the curve (in part c), interpret your findings.
- Today, interest rates on 1-year T-bonds yield 1.2%, interest rates on 2-year T-bonds yield 2.6%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations.A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.A bond pays $10,000 per year for the next 10 years. The bond costs $90,000 now. Inflation is expected to be 6 percent over the next 10 years. Answer parts (a) and (b). a. What is the current dollar internal rate of return? Use linear interpolation with x, = 1.95% and x, = 2.00% to find your answer. The current dollar internal rate of return is percent. (Type an integer or decimal rounded to two decimal places as needed.) b. What is the real internal rate of return? The real internal rate of return is percent. (Type an integer or decimal rounded to two decimal places as needed.)