You are managing a portfolio of $2.6 million. Your target duration is 13 years, and you can choose from two bonds: a zero-coupon bond with maturity 5 years, and a perpetuity, each currently yielding 8%.

a. How much of each bond will you hold in your portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. How will these fractions change next year if target duration is now ten years? (Do not round intermediate calculations. Round your answers to 2 decimal places.)