Consider a Treasury bond futures with the delivery in 205 days. The cheapest to delivery bond has a 8%coupon per annum, which is paid semi - annually. The bond has a conversion factor of 1.35. The next coupon is in54 days from now, and the next coupon thereafter is in 237 days from now. The term structure is flat with 8%interest rate (continuous compounding). If the cash futures price is $108.40, what is the quoted futures price?Show your calculations.
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Consider a Treasury bond futures with the delivery in 205 days. The cheapest to delivery bond has a 8%
coupon per annum, which is paid semi - annually. The bond has a conversion factor of 1.35. The next coupon is in
54 days from now, and the next coupon thereafter is in 237 days from now. The term structure is flat with 8%
interest rate (continuous compounding). If the cash futures price is $108.40, what is the quoted futures price?
Show your calculations.
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Solved in 2 steps
- 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?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 that for a Treasury bond futures contract, the cheapest-to-deliver bond is a 4% coupon bond with a quoted price of 114.50 and conversion factor of 1.3150. The futures contract matures in six months and the next coupon will be paid in six months. There is no accrued interest. The six-month risk-free interest rate is 5%. What is the value of the Treasury bond futures contract?
- 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?A Treasury STRIP is a zero-coupon US Treasury bond. If the STRIP's yield-to-maturity is 2.5%, par value is $1,000, and 7 years remain until maturity, what is the bond's price today? Use a semi-annual compounding period in your calculations. Enter your answer as a positive number rounded to the nearest penny.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 %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?Consider a bond with a coupon rate of 14% and coupons paid semiannually. The par value isS1000 and the bond has 7 years to maturity. The yield to maturity is 16%.Required:Find present values based on the payment periodHow many coupon payments are there?What is the semiannual coupon payment?What is the semiannual yield?
- Calculate 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 20-year bond with a coupon rate of 12% is selling at its par value of $100,000. Also suppose that this bond is the deliverable for a futures contract that settles in three months, and the current 3-month interest rate at which funds can be loaned or borrowed is 8% per year. The seller elects to deliver a Treasury bond issue with a conversion factor of 1.20. Also assume that the accrued interest is 7. What is the invoice price that the buyer pays? O $124,600 $125,800 $126,300 $127,100The 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 an annual coupon bond with a coupon rate of 8.4 percent for $895. The bond has 10 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: 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? Note: 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? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Rate of return b-1. Price b-2. Holding period…