My pension plan will pay me $$11,500$ once a year for a $10-$year period. The first payment will come in exactly five years. The pension fund wants to immunize its position.

Required:

a$.$ What is the duration of its obligation to me$?$ The current interest rate is $6\mathrm{.}0\%$ per year.

b$.$ If the plan uses $5-$year and $20-$year zero$-$coupon bonds to construct the immunized position, how much money ought to be placed in each bond?

c$.$ What will be the face value of the holdings in each zero?

Complete this question by entering your answers in the tabs below.

What is the duration of its obligation to me$?$ The current interest rate is $6\%$ per year.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Duration

years