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- Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?Bond Value as Maturity Approaches An investor has two bonds in his portfolio. Each bond matures in 4 years, has a face value of 1,000, and has a yield to maturity equal to 9.6%. One bond, Bond C, pays an annual coupon of 10%; the other bond, Bond Z, is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 9.6% over the next 4 years, what will be the price of each of the bonds at the following time periods? Fill in the following table:Question 1. Duration and Banking Consider a 5-year bond with annual coupon payments. The bond has a face value (prin- cipal) of $100 and sells for $95. Its coupon rate is 3%. (The coupon rate is the ratio between the coupon value and the face value). The face value is paid at the maturity year in addition to the last coupon payment. 1. Calculate the bond's yield to maturity (YTM) and duration using its YTM. 2. Suppose the bond's YTM changes in the same way as a 5-year T-bill interest rate. Use the bond's modified duration to evaluate the relative change in the 5-year bond's value if the interest rate on 5-year T-bills falls by one basis point, that is, by 0.0001. This part was extracted from the balance sheet of the First Bank of Australia: Assets (Billion AUD) Bond 80 Liabilities (Billion AUD) Fixed-rate liabilities 60 where "Bond" here refers to the bond we specified above and the fixed-rate liabilities (banks future payment obligations) have an average duration of 4 years and YTM of…
- A bond that matures in 10 years has a $1,000 par value. The annual coupon interest rate is 8 percent and the market's required yield to maturity on a comparable-risk bond is 13 percent. 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? Question content area bottom Part 1 a. The value of this bond if it paid interest annually would be $enter your response here.Assume that a bond will make payments every six months as shown on the following timeline: 0 2 21 Period Cash Flow $57.50 $57.50 a. What is the maturity of the bond (in years)? b. What is the coupon rate (in percent)? c. What is the face value? a. What is the maturity of the bond (in years)? The maturity of the bond is 11 years. (Round to the nearest integer.) b. What is the coupon rate (in percent)? The coupon rate is 10.87 %. (Round to two decimal places.) $57.50 22 $1,057.50Suppose a $4,500 bond will pay you $325 at the end of each quarter until the face value of the bond ($4,500) is repaid at maturity. What is the fair market value of the bond if it matures in 6 years and the market rate of return is 6.1% compounded quarterly? $9,620.42 $11,090.01 $10,991.02 $9,719.40
- Consider a bond with a current value of $928.01. It is a 10-year, $1,000 bond, coupons paid semi-annually, and has a 7% coupon rate. a. The bond's yield to maturity (YTM) is: b. What will be its value (per $1,000 of face) if its YTM changes to 10%? Question content area bottom Part 1 a. The YTM is enter your response here%. (Round to two decimal places.) b. Value (per $1,000 of face): $enter your response here. (Round to the nearest cent.)the following features: • Coupon rate of interest (paid annually): 10 percent • Principal: $1,000 • Term to maturity: 8 years a. What will the holder receive when the bond matures? |-Select- b. If the current rate of interest on comparable debt is 7 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? -Select- v, since the bond is selling for a-Select- v. c. 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 eight years if the funds earn 7 percent annually and there is $80 million outstanding? Use Appendix C to answer the question. Round your answer to the nearest dollar.Consider a bond 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.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?
- PLEASE SHOW EXCEL FORMULAS 6. A bond has just been issued. The bond will mature in 7 years. The bond’s annual coupon rate is 8% and the face value of the bond is $1,000. The bond’s (annual) yield to maturity is 5%. a.Compute the bond’s duration if coupons are paid semi-annually: i. Using the VBA dduration function.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?Bond A is a $1,000, 6% quarterly coupon bond with 5 years to maturity.(a) If you bought Bond A today at a yield (APR) of 8%, what is your purchase price? Is this apremium or discount bond? Why?)(b) One year later, Bond A's YTM (APR) has gone down to 6% and you sell it immediately afterreceiving the coupon.(i) What is the current yield? (ii) What is the capital gains yield? (iii) What is the one-year total rate of return (in APR) if the coupons are reinvested at 2%per quarter during the holding period? (iv) Can Bond A’s one-year total rate of return be determined correctly by simply adding upthe current yield and the capital gains yield? Explain your answer without calculations.(c) Consider two other bonds: Bond B and Bond C.Bond B: A $1,000, 7% quarterly coupon bond with 4 years to maturityBond C: A $1,000 zero coupon bond with 2 years to maturity(i) Without calculation, briefly explain which bond in the following pairs has higherinterest rate risk.1) Bond A vs. Bond B 2) Bond B vs.…
