Problem 07.050 - IRR of high-interest bond During recessionary periods, bonds that were issued many years ago have a higher coupon rate than currently issued bonds. Therefore, they may sell at a premium, a price higher than their face value, because of currently low coupon rates. A $50,000 bond that was issued 15 years ago is for sale for $56,000. What rate of return per year will a purchaser make if the bond coupon rate is 15% per year payable semi-annually, and the bond is due 5 years from now?
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- Bond Valuation and Changes in Maturity and Required Returns Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a 1,000 par value, a 10% coupon rate, and semiannual interest payments. a. Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell? b. Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell? c. Suppose that 2 years after the issue date (as in Part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time?Interest Rate Sensitivity A bond trader purchased each of the following bonds at a yield to maturity of 8%. Immediately after she purchased the bonds, interest rates fell to 7%. What is the percentage change in the price of each bond after the decline in interest rates? Assume annual coupons and annual compounding. Fill in the following table:During recessionary periods, bonds that were issued many years ago have a higher coupon rate than currently issued bonds. Therefore, they may sell at a premium, a price higher than their face value, because of currently low coupon rates. A $50,000 bond that was issued 15 years ago is for sale for $62,000. What rate of return per year will a purchaser make if the bond coupon rate is 14% per year payable monthly, and the bond is due 5 years from now? The rate of return is % per year.
- Q. A company's bond has a coupon rate of 9.00% and has 19 years remaining until maturity. The company's bonds pay interest semi-annually. Due to a cash flow problem, the company will be unable to pay the interest payments for periods 8, 9, and 10. These missed payments will be repaid in one lump sum when the bond matures, without interest. If the Yield to Maturity (YTM) on similar bonds is 8%, what is the intrinsic value of this bond?Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Q1. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with four years to maturity has a coupon rate of 4%. The yield to maturity (YTM) of the bond is 7.70%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: a. $743,468.74 b. $1,049,602.92 c. $551,041.53 d. $874,669.10 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: Q2. When valuing a semiannual coupon bond, the time period variable(N) used to calculate the price of a bond reflects the number of _______ periods remaining in the bond’s life. Please fill in the blanks of Q2 with these options (4 months…7. Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with three years to maturity has a coupon rate of 3%. The yield to maturity (VTM) of the bond is 7.70%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: O $876,205.93 O $1,051,447.12 O $744,775.04 $552,009.74 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: The T-note described in this problem is selling at a
- 7. Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with two years to maturity has a coupon rate of 4%. The yield to maturity (YTM) of the bond is 8.80%. A. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: $913,697.55 $776,642.92 $1,096,437.06 $575,629.46 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: B. The T-note described in this problem is selling at a .Prob. 1. Default Risk A firm issued an 8% coupon bond (semiannual coupon payment) 20 years ago. The bond now has 10 years left until its maturity date, but the firm is having financial difficulty. Investors believe that the firm will be able to make interest rate payments only for the first eight years. Starting in year nine, the firm will not be able to pay any coupon. In total, the firm will miss four coupon payments. Also, investors believe that the firm will be forced into bankruptcy eventually and bondholders will receive only 75% of par value. a) If the required interest rate is 11%, what is the present value of the coupon payments that the firm is able to pay? What is the present value of the par that the firm is able to pay? b) What should the bond be selling at? c) What is the stated yield-to-maturity (YTM) of the bond?7. Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with four years to maturity has a coupon rate of 3%. The yield to maturity (YTM) of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: $895,940.83 $746,617.36 $634,624.76 $470,368.94 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: When valuing a semiannual coupon bond, the time period variable(N) used to calculate the price of a bond reflects the number of periods remaining in the bond's life.
- 7. Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with four years to maturity has a coupon rate of 3%. The yield to maturity (YTM) of the bond is 11.00%. A. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: $634,624.76 $895,940.83 $470,368.94 $746,617.36 B. Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: When valuing a semiannual coupon bond, the time period variable(N) used to calculate the price of a bond reflects the number of periods remaining in the bond’s life.Problem 07.046 - IRR of a bond purchased at discount rate A mortgage bond issued by Automation Engineering is for sale for $8,700. The bond has a face value of $10,000 with a coupon rate of 7% per year, payable quarterly. What rate of return will be realized if the purchaser holds the bond to maturity 8 years from now? The rate of return will be 11% per year.7. Valuing semiannual coupon bonds Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon US Treasury note with four years to maturity has a coupon rate of 3%. The yield to maturity (YTM) of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: a. $746,617.36 b. $895,940.83 c. $470,368.94 d. $634,624.76 Based on your calculations and understanding of semiannual coupon bonds, complete the following statement: The T-note described in this problem is selling at a_________?