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If the price of a zero coupon bond is $0.88 and it matures in three years, what is the continuous compounded
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- Suppose the continuous forward rate is r(t) = 0.04 + 0.001t when a 8 year zero coupon bond is purchased. Six months later the forward rate is r(t) = 0.03 + 0.0013t and bond is sold. What is the return?Consider a bond with a 10% coupon and yield to maturity = 8%. If the bond’s yield to maturity remains constant, then in one year, will the bond price be higher, lower, or unchanged? Why?e. What is the expected total rate of return over the next year on a 3-year zero-coupon bond? f. What should be the current price of a 3-year maturity bond with a 8% coupon rate paid annually?
- 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) % %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 partsThe 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). a. Suppose that today you buy a bond with an annual coupon rate of 10 percent for $1, 120. The bond has 17 years to maturity. What rate of return do you expect to earn on your investment?
- 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). a. Suppose that today you buy a bond with an annual coupon rate of 7 percent for $1,160. The bond has 15 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent, and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % I %Consider a 4-years bond with a 8% annual coupon rate and semi-annual payments. Let us suppose that the zero coupon curve rate today with annual compounding is given by the one in Table 1.(a) Calculate the discount factors for all the previous maturities and then the bond price.(b) Calculate the equivalent continuous compounding rates. What do you expect as result for the bond price with these rates? Should it be lower, higher or equal to the one in part (a)? Why? The equivalent continuous compounding rates should be lower than the annual rates. Why?Is the yield to maturity on a bond the same thing as the required return? Is YTM the same thing as the coupon rate? Suppose today a 10 percent coupon bond sells at par. Two years from now, the required return on the same bond is 8 percent. What is the coupon rate on the bond? What is the YTM on the bond?
- Suppose that you buy a two-year 8% bond at its face value.(a) What will be your total nominal return over the two years if inflation is 3% in the first year and 5% in the second? What will be your total real return? (b) Now suppose that the bond is a TIPS. What will be your total two-year real and nominal returns?Suppose that you buy a two-year 8% bond at its face value. a. What will be your total nominal return over the two years if inflation is 3% in the first year and 5% in the second? b. What will be your total real return?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). a.Suppose that today you buy a bond with an annual coupon rate of 6 percent for $1,150. The bond has 20 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)b-1.Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)b-2.What is the HPY on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)