Suppose that all investors expect that interest rates for the five years will be as follows:Year1-year Forward Interest Rate 3.8% 24.2 % 5.1 % 45.9 % 56.7% What is the yield to maturity on a four-year zero-coupon bond? a. 5.14% b. 4.75% c . 6.46% d. 20.38%
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- Question 1: Consider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a $1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration is defined as a weighted average of the maturities of the cash payments. Suppose the weight assigned to the maturity of 1 year is W. A: Duration=2.28 and W=7.77% B: Duration=3.56 and W=20.5% C: Duration=3.56 and W=23.1% D: Duration=3.56 and W=7.77%Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today? Please solve both partsConsider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today?
- You observe the following term structure: Effective Annual YTM 1-year zero-coupon bond 2-year zero-coupon bond 3-year zero-coupon bond 4-year zero-coupon bond 8.1% 8.2 8.3 8.4 a. If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (1i) the 4-year zero. (Do not round intermediate calculations. Round your answers to 1 decimal place.) One year return on 1-year bond One year return on 4-year bonds % % b. Which bond provides a greater expected 1-year return? O 1-year zero-coupon bond O 4-year zero-coupon bondThe term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 4.7% 123 5.7 6.7 Next year at this time, you expect it to be: Maturity (Years) YTM (%) 1 5.7% 23 2 6.7 7.7 3 Required: a. What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? b. Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? c. Is the market's expectation of the return on the 3-year bond greater or less than yours? Complete this question by entering your answers in the tabs below. Required A Required B Required C What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? Note: Round your answer to 1 decimal place. Rate of return % < Required A Required BSuppose the current one-year interest rate is 3%. Also assume that financial markets expect the one-year interest rate next year to be 4%, and expect the one-year rate to be 5% the year after that. Given this information, the yield to maturity on a three-year bond will be approximately 15% OA. 5% В. Ос. 6% 12% O D. O E 4%
- Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…Q. a.Estimate the interest rate that should be quoted for a 4-year maturity, zero coupon bond bought 6 years from today? The yield curve for a bond of comparable credit quality is speci ed below: Maturity YTM Maturity YTM Maturity YTM 1 year 8.00% 7 year 9.15% 13 year 10.45% 2 year 8.11% 8 year 9.25% 14 year 10.65% 3 year 8.20% 9 year 9.35% 15 year 10.75% 4 year 8.50% 10 year 9.47% 16 year 10.95% 5 year 8.75% 11 year 9.52% 17 year 11.00% 6 year 8.85% 12 year 9.77% 18 year 11.25%Consider a bond that pays annually an 8% coupon with 20 years to maturity. The percentage change in the price of the bond if its yield to maturity increases from 5% to 7% is closest to? Set your decimal places to 4 in your financial calculator. a 19.50% b 24.22% c -24.22% d -19.50%
- Question 1 : Consider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a $1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration is defined as a weighted average of the maturities of the cash payments. Suppose the weight assigned to the maturity of 1 year is W. Show your work. No work, no credit A: Duration 2.28 and W=7.77% B: Duration=3.56 and W-20.5% C. Duration 3.56 and W-23.1% D. Duration=3,56 and W-7.77%Suppose the current zero-coupon yield curve for risk-free bonds is as follows: Maturity (years) Zero-Coupon YTM 1 3 4 3.25% 3.50% 3.90% 4.25% 4.40% Consider a five-year, default-free bond with an annual coupon rate of 5% and a face value of $1000. What is the YTM of this bond ?The term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 4.6% 5.6 6.6 2 3 Next year at this time, you expect it to be: Maturity (Years) 2 YTM (%) 5.6% 6.6 7.6 Required: a. What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? b. Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? c. Is the market's expectation of the return on the 3-year bond greater or less than yours? Complete this question by entering your answers in the tabs below. Required A Required B Required C Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? Note: Round your answers to 2 decimal places. Maturity 1 2 YTM % %