What is the Duration of a 10-year (ANNUAL coupon payment) bond that was issued last year if the coupon is 6% in even years and 3% in even years? (first payment was 5 minutes ago. Hint 1 is an odd year). At the end of year 5, there is a coin flip. If it comes up heads, the bond matures immediately. It is paid off in full at maturity if it comes up tails. Assume YTM is 7%. Show work.
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(first payment was 5 minutes ago. Hint 1 is an odd year). At the end of year 5, there is a coin flip. If it comes up heads, the bond matures immediately.
It is paid off in full at maturity if it comes up tails. Assume YTM is 7%. Show work."
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- Consider a bond (with par value = $1,000) paying a coupon rate of 10% per year semiannually when the market interest rate is only 4% per half-year. The bond has three years until maturity. Required: a. Find the bond's price today and six months from now after the next coupon is paid. b. What is the total (6-month) rate of return on the bond? Complete this question by entering your answers in the tabs below. Required A Required B Find the bond's price today and six months from now after the next coupon is paid. Note: Round your answers to 2 decimal places. Current price Price after six months $ $ 1,052.42 1,044.52A 10-year bond with a face value of $1,000 has a coupon rate of 9.0%, with semiannual payments. a. What is the coupon payment for this bond? b. Enter the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ every six months. (Round to the nearest cent.)Consider bond A with a face value of $500,000 to be repaid at maturity. The maturity of the bond is 2 years. The coupon rate is 8% per annum and coupon payments are made semiannually. The current market rate is 6% p.a. What is the bond’s duration ? Round your final answer to 2 decimal places. E.g. if the final answer is -3.59 years, type -3.59 in the answer box. If the final answer is 3.59 years, type 3.59 in the box .
- A 15-year Treasury bond is issued with face value of $1,000, paying interest of $46 per year. If market yields increase shortly after the T-bond is issued, what is the bond’s coupon rate? (Enter your answer as a percentage rounded to 1 decimal place.) Coupon rate ?%A bond has the following features: Coupon rate of interest (paid annually): 6 percent Principal: $1,000 Term to maturity: 12 years What will the holder receive when the bond matures? Principal or All coupon payments? If the current rate of interest on comparable debt is 9 percent, what should be the price of this bond? Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ Would you expect the firm to call this bond? Why? -Yes or No, since the bond is selling for a discount or premium? If the bond has a sinking fund that requires the firm to set aside annually with a trustee sufficient funds to retire the entire issue at maturity, how much must the firm remit each year for twelve years if the funds earn 9 percent annually and there is $120 million outstanding? Use Appendix C to answer the question. Round your answer to the nearest dollar. $A bond with a face value of $1,000 has 10 years until maturity, has a coupon rate of 5.2%, and sells for $1,105. a. What is the current yield on the bond? (Enter your answer as a percent rounded to 2 decimal places.) b. What is the yield to maturity if interest is paid once a year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.) c. What is the yield to maturity if interest is paid semiannually? (Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.)
- A bond has the following features: Coupon rate of interest (paid annually): 12 percent Principal: $1,000 Term to maturity: 11 years What will the holder receive when the bond matures? If the current rate of interest on comparable debt is 8 percent, what should be the price of this bond? Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ Would you expect the firm to call this bond? Why? , since the bond is selling for a . If the bond has a sinking fund that requires the firm to set aside annually with a trustee sufficient funds to retire the entire issue at maturity, how much must the firm remit each year for eleven years if the funds earn 8 percent annually and there is $90 million outstanding? Use Appendix C to answer the question. Round your answer to the nearest dollar. $Assume a bond with a 10% annual rate has 8 years left to maturity when market rates are at 12%. Assume semi-annual payments. What is the price of the bond at 3 different points in time - today, in 1 year, and in 2 years. Is this a discount or premium bond, and what do you notice about the relationship between the price and maturity value (FV) over time?A bond currently sells for $1,080, which gives it a yield to maturity of 7%. Suppose that if the yield increases by 50 basis points, the price of the bond falls to $1,050. What is the duration of this bond? (Do not round intermediate calculations. Round your answer to decimal places.) Duration years
- 1. A three-year bond with a $1,000 face-value and 10% coupon rate is sold for $1,000 today (Year 1). If one year later (Year 2) the market interest rate decreases by 5%, then this bond will have a market price of $ ____ (round UP to the nearest integer) next year (Year 2). 2. True or False? The current interest rate on a 10-year coupon bond with face value = $1,000 and annual coupon rate = 3.25% is2.42%. This implies the buyer of the bond will receive a $24.2 payment from the bond issuer every year before maturity while holding the bond. 3. A three-year bond with $1,000 face-value and 10% coupon rate is sold for $1,000 today (YEAR 1). If one year later (Year 2) the market interest rate increases by 5%, then this bond will have a market price of $ ________ (round UP to the nearest integer) then (Year 2).A government bond matures in 6 years, makes annual coupon payments of 4.4% and offers a yield of 2.4% annually compounded. Assume face value is $1,000. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) a. Suppose that one year later the bond still yields 2.4%. What return has the bondholder earned over the 12-month period? b. Now suppose that the bond yields 1.4% at the end of the year. What return did the bondholder earn in this case?A 10-year government bond has a face value of £100 and an annual coupon rate of 5%. Assume that the interest rate is equal to 6% per year. (a) Calculate the bond’s present value if it pays the interest annually, and also the present value if it pays semi-annually. (b) Calculate the market price of the bond when the interest rate changes to 8% please explain it on a paper with formula, not by excel.
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