Suppose you own a 3-year, 7% annual coupon bond with a maturity value of $1,000 with a yield to maturity of 10%. You want to find the duration-matched short position in a 3-year, 8% annual coupon bond with a maturity value of $1,000 and yielding 5%. How many units of the second bond do you need to short?
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- 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?
- 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?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. 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?Suppose you purchase a $1,000 bond with a coupon rate of 8% matures in 5 years at par, and you plan to sell it at the end of 3 years at the prevailing market price. When you purchase the bond, your investment advisor predicts that similar bonds with 2 years to maturity yield at 6%. What is the expected yield to maturity on the bond?
- You are holding a 5-year bond with a 6% annual coupon rate, an 8% yield to maturity and a $1,000 par value. Coupons are paid annually. A. How much will the bond price change if the market yield falls by 1%? B. Calculate the duration of this bond when the yield to maturity is 8%. C. What are the predicted bond prices when you use duration? How large is prediction error in percentage?Consider a bond with a face value of $5,000 that pays a coupon of $200 for 5 years. Suppose the bond is purchased at $5,000, and can be resold next year for $4,800. What is the rate of return and the yield to maturity of the bond? rate of return = 4%, yield to maturity = 0% rate of return = 0%, yield to maturity = 4% rate of return = 8%, yield to maturity = - 4% rate of return = 4%, yield to maturity = 4%Consider a coupon bond with a face value of $100, a coupon rate of 25%, a time-to-maturity of two years and a price of $121.97. What is its yield-to-maturity?(Use the quadratic formula)
- 1. Suppose you purchase bond that has a coupon of $75, face value of S1,000, and current price of $1,100. What is your coupon rate? What is your current Save Answer yield? 2. Suppose you purchase a bond with a coupon of $50 for $1,010. You sell it one year later for $900. What rate of return did you carn?Suppose a 10-year, 10 percent, semiannual coupon bond with a par value of R1 000 is currently selling for R1 135.90, producing a nominal yield to maturity of 8 percent. However, the bond can be called after 5 years for a price of R1 050. If you bought this bond, do you think you would be more likely to earn theYTM or the YTC? Why?Suppose you purchase a 30-year, zero-coupon bond with a yield to maturity of 6%. You hold the bond for five years before selling it. a. If the bond's yield to maturity is 6% when you sell it, what is the internal rate of return of your investment? b. If the bond's yield to maturity is 7% when you sell it, what is the internal rate of return of your investment? c. If the bond's yield to maturity is 5% when you sell it, what is the internal rate of return of your investment? d. Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain. Note: Assume annual compounding.