The yield on a 1-year zero-coupon bonds is currently 7%; the YTM on 2 -year zeros is 8%. The treasury plans to issue a 2 -year maturity coupon bond, paying coupons once a year with a coupon rate of 9%. The face value of the bond is $100. (BKM 15.11) a) At what price will the bond sell? 15 p b) If the expectations theory of the yield curve is correct, what is the market expectation of the price that the bond will sell for next year? c) Recalculate your answer to b) if you believe in the liquidity preference theory and you believe the liquidity premium is 1%.
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- The Expectations theory suggests that under certain conditions all bonds outstanding, especially Treasury bonds, must have identical total returns over a 1-year holding period, independently of their final maturity. suppose that today’s interest rate on a 2-year default free zero-coupon Treasury bond that pays $100 at maturity (0i0,2) is 6%. What is today’s price of such a bond (that is, what would you pay to purchase such a bond)?The 1-year spot rate is 6%, the 2-year spot rate is 7%. The Treasury plans to issue 2-year maturity fixed coupon bonds with annual coupon payments, the coupon rate is 8% and face value of the bond is $100. Follow annual compounding. a. What price will the bond sell (using spot rates to calculate)? b. What will the yield to maturity on the bond be? c. If the expectations theory is correct, what will be the market’s expectation of the price the bond will sell one year from today?The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has
- The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 8.6% annual coupon bond for $1,120. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year? d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Required E Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?…Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
- You estimate that a 1-year zero-coupon bond (face value = $1000) has a probability of default equal to 26%. In the event of default, you estimate the bond issuer will bay $563. The current risk-free rate is 5%. How much should you pay for this bond?A one-year zero coupon bond costs $99.43 today. Exactly one year from today, it will pay $100. What is the annual yield-to-maturity of the bond? (1.e., what is the discount rate one needs to use to get the price of the bond given the future cash flow of $100 in one year?) 1.0057 0.0057 2.0057 -0.0057Calculate the price of a $1,000, 5% bond with three years to maturity with 7.5% market interest rates. Assume annual coupon payments.What is the duration of this bond?Using the duration price approximation formula, calculate the expected price change in % if interest rates fall to 7.0%. If your answer is negative, don't forget the sign!
- Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $94.34, while a 2-year zero sells at $84.99. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year.a. What is the yield to maturity of the 2-year zero?b. What is the yield to maturity of the 2-year coupon bond?c. What is the forward rate for the second year?d. According to the expectations hypothesis, what are (i) the expected price of the coupon bond at the end of the first year and (ii) the expected holding-period return on the coupon bond over the first year?e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?i)A risk-free, zero coupon bond with a face value of $5,000 has 10 years to maturity. If the YTM is 3.25%, at what price will the bond trade? (ii) What is the price of a $10,000 bond with a 4.5% coupon rate with quarterly coupon payments, and 7 years to maturity if it has a YTM of 6?You have decided to invest in Bond x, an n-year bond with semi-annual coupons and the following characteristics: Par value is 1000 The ratio of the semi - annual coupon rate to the desired semi- annual yield rate, is 1.03125. The present value of the redemption value is 381.5. Given v=0.5889, what is the price of bond x ? A) 1,055 B) 1,072 C ) 1,073 D) 1,069 E) 1,044