2.7 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 $2.7 million per year to beneficiaries. The yield to maturity on all bonds is 12.5%.

a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is 4.0 years and the duration of 20-year maturity bonds with coupon rates of 6% (paid annually) is 7.9 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?

The manager of a branch office of banco mexicali observed that during peak hours an average of 20 customers arrives per hour and that there is an average of 6 customers in the branch office at any time. how long does the average customer spend waiting in line and being serviced?

Shelby bought her dream car, a 1966 red convertible mustang, with a loan from her credit union. if shelby paid 5.1% and the bank earned a real rate of return of 3.5%, what was the inflation rate over the life of the loan?

Make or buy eastside company incurs a total cost of $120,000 in producing 10,000 units of a component needed in the assembly of its major product. the component can be purchased from an outside supplier for $11 per unit. a related cost study indicates that the total cost of the component includes fixed costs equal to 50% of the variable costs involved. a. should eastside buy the component if it cannot otherwise use the released capacity? present your answer in the form of differential analysis. use negative sign represent a net disadvantage answer; otherwise do not use negative signs with your answers. cost from outside supplier $answer variable costs avoided by purchasing answer net advantage (disadvantage) to purchase alternative $answer b. what would be your answer to requirement (a) if the released capacity could be used in a project that would generate $50,000 of contribution margin? use negative sign represent a net disadvantage answer; otherwise do not use negative signs with your answers.