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- A company must make a payment of $2500 in 5 years. Four-year zero coupon bonds and seven-year zero coupon bonds are available for investment. These bonds could be purchased in any quantity and the yield rate is 3% effective. Let A and B be the face values of the 4-year and 7-year zero-coupon bonds, respectively, that are purchased to satisfy full immunization against any changes in interest rates. Find A. Possible Answers A 1262 1431 C 1618 D 1725 E 1962Use of a financial calculator or Excel (functions PRICE and YIELD will be helpful) will be helpful to calculate the following problems. Show your work, include your calculator entries (i.e. N, PV, PMT, FV, IM, and/or Excel formulas where applicable. 1. Suppose there is a bond with a par value of $1,000 that matures in 6 years. Coupon payments are made annually. The coupon rate is 9%. It has a 12% yield to maturity. The annual coupon payments = $ b. The price of the bond today (present value) = $After extensive project appraisal analysis, McCoy Plc has decided to go ahead with the launch of a new gaming platform. The new project will cost £400m and McCoy Plc has decided to raise half of this by issuing bonds. The new bonds were issued today and have a maturity of 6 year, a face value of £100 and a coupon rate of 6%. c) What does the duration of a bond measure? d) Assume one year after issue, the price of each bond is £85. What would the annual return be then?
- Consider the following balance sheet (in millions) for an FI: Assets Liabilities Duration = 10 years $950 Duration = 2 years $860 Equity $90 What is the FI's duration gap, and FI's interest rate risk exposure ? How can the FI use futures and forward contracts to put on a macrohedge? What is the impact on the FI's equity value if the relative change in interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Suppose that the FI in part (c) macrohedges using Treasury bond futures that are currently priced at 96. What is the impact on the FI's futures position if the relative change in all interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Assume that the deliverable Treasury bond has a duration of nine years. If the FI wants to macrohedge, how many Treasury bond futures contracts does it need?Time value of money practice problems. How would you solve these using a financial calculator? What values would you enter for N, I/YR, PV, PMT, and FV ? *assume coporate bonds pay 2x annually and have a FV on $1000 b) What is the PV of a 20-year corporate bond issued 5 years ago paying a 5% interest rate when similar bonds today pay 4.5%?Use Given-Required-Solution in answering problems. Provide cash flow diagram. Write answer on the space provided below. Solution shall be uploaded at the end of the quiz. A bond with a face value of P1,500,000 is sold at P1,400,000. If the bond matures in 5 years and pays 15 percent per annum, how much should the annual earning interest be? Round off to four decimal places in the final answer/s.
- BroadStreet Bank has just been given a $10,000,000, 5 year CD deposit by the local municipality. The bank has agreed to pay 8%, compounded annually on this deposit. The bank wishes to choose one debt investment to cover this deposit, so that they have earnings from this investment to just cover the interest and CD principal when it comes due in 5 years. They are looking at the following 3 possibilities for investment: Bond Maturity Coupon YTM Duration1 5 0.00% 8.00% 5.002 6 7.90% 8.00% 5.003 7 17.15% 8.00% 5.00 • Show that each of three investment will cover the future payout required by the CD, even if market rates increase or drop by ½ % by the end of 5 yearsKm for the following Individual or component costs of capital) Your firm is considering a new investment proposal and would like to calculate its weighted average cost of capital. To help in this compute the cost of capital for the a. A bond that has a $1,000 par value (face value) and a contract or coupon interest rate of 11.4 percent mat is paud semiannually. The bond is currently selling for a price of $1,121 and will mature in 10 years The firm's tax rate is 34 percent b. If the firm's bonds are not frequently traded, how would you go about determining a cost of debt for this company? A new common stock issue that paid a $174 dividend last year. The par value of the stock is $15, and the firm's dividends per share have grown at a rate of 81 percent per year. This growth rate is expected to continue into the foreseeable tuture The pnce of this stock is now $27 12 d. A preferred stock paying a 10.7 percent dividend on a $126 par value The preferred shares are currently selling for…financial risk management . Assume you have the following asset and liability in your Balance Sheet:Asset - Bond AModified Duration = 2.6 yearsValue= RM1.5 millionLiability - Bond BModified Duration = 3.1 yearsValue= RM1.0 million What is the expected change in Net Worth if interest increases by 1% ?
- Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.3 million per year to beneficiaries. The yield to maturity on all bonds is 14.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 10.0 % (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 5% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par…Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2.2 million per year to beneficiaries. The yield to maturity on all bonds is 14.4%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 10.5% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 4% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. Answer is complete but not entirely…Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.9 million per year to beneficiaries. The yield to maturity on all bonds is 19.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 11.8% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 7% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par…