Calculate the price of a 5-year semi-annual coupon bond with an annual coupon rate of 1.875% and face value 100. Assume that the bond’s maturity is 1stMarch 2029 and that it has just made its most recent coupon payment. What is its YTM? On the same date a bond with maturity 28th February 2029 with coupon rate 1.875% was quoted at 4.179%. Why do you think that the YTMs are different on the two 5-year bonds?
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Calculate the price of a 5-year semi-annual coupon bond with an annual
coupon rate of 1.875% and face value 100. Assume that the bond’s maturity is 1st
March 2029 and that it has just made its most recent coupon payment. What is
its YTM? On the same date a bond with maturity 28th February 2029 with coupon
rate 1.875% was quoted at 4.179%. Why do you think that the YTMs are different
on the two 5-year bonds?
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Solved in 2 steps
- Find the YTM of a Treasury bond which you are considering purchasing. The settlement date is Oct. 1, 2023. The bond matures on Dec. 15, 2026 and has a 4.25% coupon rate (the maturity date tells you when the coupon payments are made). The quoted price for the bond is 102:12.Calculate the YTM based on the information provided and explainthe difference between the Yield to Maturity rate and the originalcoupon rate. YTM Bond Details: A bond is currently selling for $850 with 15 years until it matures.The bond has a current coupon rate of 6% and makes paymentssemi-annually. You purchase the bond today 1/1/2023 as yoursettlement date and you are interested in knowing what the YTMwill be. **Note, when calculating the YTM the bond price (% of par)and face value (% of par) will not be percentages, please usenumbers for their respective section. The Yield Calculation is alreadybuilt into excel, all you have to do is type is =yield.Find the duration of a bond with settlement date June 9, 2018, and maturity date December 11, 2027. The coupon rate of the bond is 8%, and the bond pays coupons semiannually. The bond is selling at a yield to maturity of 9%. (Do not round intermediate calculations. Round your answers to 4 decimal places.) What is the modified duration?
- You find the following Treasury Bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semi annual coupons. In the table, find the Treasury bond that matures in May 2034. What is your yield to maturity if you buy this bond?A Treasury bond that settles on August 10, 2022, matures on May 4, 2028. The coupon rate is 5.8 percent and the quoted price is 109 15/32. What is the bond’s yield to maturity?You estimate that the required return on the following Silicone bond is 12.4%. If the bond is being evaluated in the current month of 2023 and matures in the current month of the year indicated, based on this information, how much is the bond over- or under-priced? Bond Silicone Coupon (%) Maturity. 8.00 2029 O Under-priced by $182.44 O Over-priced by $148.19 O Under-priced by $148.19 O Over-priced by $34.25) O Under-priced by $34.25 O Over-priced by $182.44 Last Price (% of par) 96.575
- A) Find the price of a 5 year bond trading at a yield to maturity of 5.75% and has a coupon of 6% paid semi- annually. Assume you buy the bond on October 25, 2021 and it matures on October 25, 2026. B) Suppose the bond is callable in 3 years at $ 110. Using the price calculated above find the yield to call.You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.302 6.168 Maturity Month/Year May 29 May 32 May 38 Yield to maturity Asked Bid 103.4625 103.5353 104.4965 104.6422 ?? ?? In the above table, find the Treasury bond that matures in May 2032. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. = Change Ask Yield +.3028 6.019 ?? +.4305 +.5418 4.051 %You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 5.674 6.208 Maturity Month/Year May 35 May 40 May 50 a. Asked price b. Bid price Asked 103.5457 104.5069 104.6526 ?? ?? Bid 103.5579 Change +.3132 +.4401 +.5522 Ask Yield 6.179 ?? 4.211 a. In the above table, find the Treasury bond that matures in May 2050. What is the asked price of this bond in dollars? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b. If the bid-ask spread for this bond is .0588, what is the bid price in dollars? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
- You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 5.774 6.218 Maturity Month/Year May 33 May 36 May 42 Bid 103.4755 Asked 103.5483 104.5095 104.6552 ?? ?? In the above table, find the Treasury bond that matures in May 2036. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Yield to maturity Change Ask Yield +.3158 6.219 ?? +.4425 +.5548 4.251 Answer is complete but not entirely correct. 4.98%A bond that matures in13years has a$1,000par value. The annual coupon interest rate is8percent and the market's required yield to maturity on a comparable-risk bond is12percent. What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually?Calculate the YTM based on the information provided.YTM Bond Details:A bond is currently selling for $850 with 15 years until it matures.The bond has a current coupon rate of 6% and makes paymentssemi-annually. You purchase the bond today 1/1/2023 as yoursettlement date and you are interested in knowing what the YTMwill be. **Note, when calculating the YTM the bond price (% of par)and face value (% of par) will not be percentages, please usenumbers for their respective section. The Yield Calculation is alreadybuilt into excel, all you have to do is type is =yield