You are managing a pension plan that is due to pay $11 million a year for 15 years with the first payment one year from today and $8 million a year for 10 years with the first payment 5 years from today. You can use a zero coupon bond with 4 years to maturity and a 20 year coupon bond with a duration of 12.31 years to immunize your portfolio. The interest rate is 7 percent for all maturities. How many zero coupon bonds will you have to purchase? Assume annual cash flows and compounding in your calculations.
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You are managing a pension plan that is due to pay $11 million a year for 15 years with the first payment one year from today and $8 million a year for 10 years with the first payment 5 years from today. You can use a zero coupon bond with 4 years to maturity and a 20 year coupon bond with a duration of 12.31 years to immunize your portfolio. The interest rate is 7 percent for all maturities. How many zero coupon bonds will you have to purchase? Assume annual cash flows and compounding in your calculations.
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- You are considering the purchase of a perpetual bond that pays you $174 per year for the foreseeable future. If you require a 5.85% rate of return on this bond investment, what is a fair price for the bond that you would be willing to pay today? To nearest $0.01pension 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 million per year to beneficiaries. the yield to maturity on all bonds is 15%. a. if the duration of 5-year maturity bonds with coupon rates of 11% (paid annually) is 4 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?A portfolio for a pension fund that you manage has payments resembling a perpetuity. You want to immunize the pension fund liability by purchasing 2 bonds: a zero coupon bond maturing in 6 years & a 10% coupon bond with a duration of 25 years. Assume the yield on both bonds & the pension fund is 7%. What percent of your portfolio should you invest in the zero-coupon bonds?
- 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 million per year to beneficiaries. The yield to maturity on all bonds is 16%.a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is four years and the duration of 20-year maturity bonds with coupon rates of 6% (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?b. What will be the par value of your holdings in the 20-year coupon bond?I need assistance with the following: Suppose you have bough the above zero-coupon bond, with value and duration equal to your obligation. Now suppose the rates immediately increase to 9%. What happens to your net position? How much is the tuition obligation? How much is the zero-coupon bond? How much is the net position?An insurance company is thinking about purchasing bonds A and B with zero coupons to cover some of its future liabilities. The redemption periods for these zero-coupon bonds are seven and twenty years, respectively.£11 million is due in 11 years, and £14 million is due in 16 years, according to the list of its liabilities.Determine bond B's value at an effective 5% annual interest rate so that Redington's theory of immunization's first two requirements are met. (correct answer=6.419) (using formulas, no tables)
- You want to invest in a risk-free investment for the next 3 years. You can invest in a 3-year zero coupon bond or you can invest in a 1-year zero coupon bond now, then in one year from now invest in a 2- year zero coupon bond. The spot interest rate on the 3-year bond is 3.25%. The spot interest rate on the 1-year bond is 2%. What spot interest rate do you expect to earn on a 2-year bond in one year from now?NikulYou are considering investing in a savings bond that will pay $50,000 in 6 years. If the competitive market rate is fixed at 6% per year, what is the bond worth today?
- 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 million per year to beneficiaries. The yield to maturity on all bonds is 16%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 12% (paid annually) is four years and the duration of 20- year-maturity bonds with coupon rates of 6% (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 1 decimal place. 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 value $…You buy a bond today. The bond has a face value of $1000, will mature in 10 years, and pays coupon on an annual basis. The coupon rate is 8%, and the YTM is 10%. Assume that every time you receive a coupon you reinvest it. The annual reinvestment rate at the end of year 1 is equal to the YTM; it becomes 6% at the end of year 2 and 7% at the end of year 3. During year 4, the company starts to face financial distress, and becomes bankrupt. At the end of year 4, from the liquidation you are able to obtain 40% of the face value of the bond but no year 4 coupon. What is your 4-year holding period return from this investment?Pension funds pay lifetime annuities to recipients. If a firm remains 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 $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 20%. Required: a. If the duration of 5-year maturity bonds with coupon rates of 16% (paid annually) is 3.7 years and the duration of 20-year maturity bonds with coupon rates of 7% (paid annually) is 6.5 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? (Do not round intermediate calculations. Enter your answers in millions rounded to 5 decimal places.) > Answer is complete but not entirely correct. Holdings 5-year bond 20-year bond $ 1.60000 million $ 22.20000 million b. What will be the par value of your holdings in the 20-year coupon bond? (Enter your answer in dollars not in…