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.