6. You are obligated to pay $10,000 in a year. There are two bonds with the following information Bond A Bond B Time to maturity 2 years 0.5 year Coupon rate 7% 5% Price $101.86 $99.51 The yields for both bonds are 6%. Construct a portfolio of bonds A and B using the immunization technique.
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- There is a bond that has a quoted price of 940.023 and a par value of $1,000. The coupon rate is 7 percent and the bond matures in 13 years. The bond makes semiannual coupon payments a) Will the YTM be greater or less than the coupon rate? Explain your reason why b) Calculate the 7TM for the bond. Please be sure to show your calculations (if using a financial calculator, provide the input values used)Bond X is a premium bond making semiannual payments. The bond has a coupon rate of 11 percent, a YTM of 9 percent, and 15 years to maturity. Bond Y is a discount bond making semiannual payments, This bond has a coupon rate of 9 percent, a YTM of 11 percent, and also has 15 years to maturity. Both bonds have a par value of $1,000 a. What is the price of each bond today? b. If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now? In 6 years? In 10 years? In 14 years? In 15 years? Note: For all requirements, do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Bond X Bond Y a. Price today b. Price in 1 year Price In 6 years Price in 10 years Price in 14 years Price in 15 yearsSubmit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points). d.) Use a spreadsheet to compute the annualized Macaulay duration and modified duration for Bond A at a yield - to - maturity of 3.6%. Provide an interpretation of the modified duration with regards to maturity and interest rate risk. e.) Use a…
- Consider a two-year coupon bond issued by an airline with Face Value of $1,000, Coupon Rate of 3%, Annual Default Probability of 5%, & Risk-Free Interest Rate of 3% per year. Use a binomial tree to value the bond assuming no recovery. Show your work & write your answer in dollars and cents below. The value (price, expected present value, etc.) of the bond is _______.1)Your broker offers to sell for $1,157 a AAA-rated bond with a coupon rate of 7 percent and a maturity of six years. Given that the interest rate on comparable debt is 4 percent, calculate the bond's price. Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. 2)Is your broker fairly pricing the bond? 3)the bond should or should not be purchased?Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premium
- A 5-year bond with a yield of 4% (continuously compounded), with a face value of $100, pays an 3% coupon at the end of each year. What is the bond’s price? (You can use your calculations for the next questions) A 5-year bond with a yield of 4% (continuously compounded) pays an 3% coupon at the end of each year. What is the bond’s duration? Use the calculations from the previous problem to make it easier, and you can use your duration answer for the following question.You have a bond with the following features: - Semi-annual coupon payments. - Coupon rate 7.60%. - Face value $1,000. - 3.5 years to maturity. - Current market price $1,130. Requirements (A, B, and C are independent): 1. Calculate the duration and modified duration for this bond. Duration ___ Mduration ___ 2. Now, let’s assume the modified duration of this bond is 3 years. If the yield increases by 30 bps (basis points), what will the new price of the bond using modified duration? 3. If the yield drops by 75 bps, what is the actual new price of the bond?Do not use excel, use formulas to compute the question You have two bonds, Bond A and bond B: A 3-year zero-coupon bond with face value of $1,000 with a yield-to-maturity of 4%. A 6-year bond with an annual coupon payment C (to be paid out starting a year from now), a face value of $1,000 and yield-to-maturity of 5%. Assume that compounding takes place annually. If the price of Bond A is equal to the price of Bond B, what is the value of Bond B’s coupon payments (C)?
- Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 2 Price (%) 48 80.57 97.19 134.92 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon YTM (%) 2 4 6.00 % 7.42% 8 7.01 %Suppose you have the following liabilities: Liability 1: A one-time liability maturing in 4 years with the present value of $100. Liability 2: A one-time liability maturing in 8 years with the present value of $100. To immunize your liabilities using the following two bonds, what would be the weights of the two bonds in your immunizing bond portfolio? Bond A: A zero-coupon bond with a face value of $100 and a time to maturity of 3 years. Bond B: A zero-coupon bond with a face value of $100 and a time to maturity of 12 years. A. 33% in Bond A and 67% in bond B B. 70% in Bond A and 30% in bond B C. 30% in Bond A and 70% in bond B D. 67% in Bond A and 33% in bond B E. 50% in Bond A and 50% in bond B(Related to Checkpoint 9.2) (Yield to maturity) The Saleemi Corporation's $1,000 bonds pay 7 percent interest annually and have 9 years until maturity. You can purchase the bond for $885. a. What is the yield to maturity on this bond? b. Should you purchase the bond if the yield to maturity on a comparable-risk bond is 10 percent? a. The yield to maturity on the Saleemi bonds is %. (Round to two decimal places.)
