can you answer this questions?

1. You are managing a bond portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a zero-coupon bond with maturity of 15 years, each currently yielding 5%.

(1)What are your weights in these two zero-coupon bonds to have the target duration?

(2)How will these factions change next year if the target duration is still ten years?

A bond has maturity of 7 years and pays a 7% coupon rate (with coupon paid annually).The bond sells at par value.

1. Calculate the duration and convexity of the bond.
2. Assuming its yield to maturity increases from 7% to 8% with maturity unchanged. Calculate the predicted price using modified duration rule, and the percentage error of this rule.
3. Assuming its yield to maturity increases from 7% to 8% with maturity unchanged. Calculate the predicted price using the modified duration with convexity rule, and the percentage error of this rule.