Firm XYZ is required to make a $5 million payment in 1 year, and a $4 million payment in 3 years. The firm wants invest in a portfolio of 1-year and 4-year zero-coupon bonds to fund those future payments. How much of each bond must the asset portfolio contain for the firm to still be able to fund the obligation after a parallel shift in the yield curve? Assume a flat yield curve and an annual interest rate of 10%.
Firm XYZ is required to make a $5 million payment in 1 year, and a $4...
An insurance company must make payments to a customer of $7 million in one year and $4 million in three years. The yield curve is flat at 8%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond 1.6576 years b. What must be the...
An insurance company must make payments to a customer of $14 million in one year and $8 million in six years. The yield curve is flat at 12%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond years b. What must be the face...
An insurance company must make payments to a customer of $8 million in one year and $3 million in four years. The yield curve is flat at 9%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond years b. What must be the face...
An insurance company must make payments to a customer of $13 million in one year and $9 million in three years. The yield curve is flat at 11%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond years b. What must be the face...
An insurance company must make payments to a customer of $12 million in one year and $6 million in three years. The yield curve is flat at 8%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond years b. What must be the face...
An insurance company must make payments to a customer of $10 million in 5 years and $25 million in 30 years. The yield curve is flat at 8%. a) What is the present value and duration of its obligation? b) If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero- coupon bond, what maturity bond must it purchase? Suppose you buy a zero-coupon bond with value and duration equal to...
An insurance company must make payments to a customer of 10$ million in one year and 5$ million in five years. The yield curve is flat at 10%. a. If it wants to fully find and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? b. What amount should be invested in the zero-coupon bonds? What will be the maturity value of the zero-coupon bonds? c. What will be...
Problem 16-9 An insurance company must make payments to a customer of $9 million in one year and $6 million in six years. The yield curve is flat at 7%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond years b. What must be...
You currently have pension fund assets of $15 million in a bond portfolio with a Macaulay duration of 10. Your liabilities are $2.7 million per year starting 30 years from today (i.e. at time 30) and lasting for 30 years (i.e. the last payment is at time 60). The yield curve is flat with spot rates constant at 4% for all maturities. (a) Compute the present value of your liabilities. Do you have enough assets to cover those liabilities? (b)...
2. 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%. Note: duration of perpetuity is (1+i)/i. a (0.25’). What is the present value and duration of the pension obligations? b (0.25’). To fund the liabilities, you...