Calculations and Analysis


a) For the bond with a coupon of 5.5% paid annually, with 10 years to maturity and a YTM of 6.10%, calculate the duration and modified duration. (3 marks)

b) For the bond described in a) above, calculate the convexity. (3 marks)

c) Calculate the price change for a 50 basis point drop in yield using duration plus convexity. (2 marks)

d) Samantha and Roberta are discussing the riskiness of two treasury bonds A& B with the following features:

Bond
Price Modified Duration
A
90 4
B
50 6
Samantha claims that Bond B has more price volatility because of its higher modified duration.
Roberta disagrees and claims that Bond A has more price volatility despite its lower modified  duration. Who is right