You are considering investing in two bonds, both with 4 years to maturity. BondA is a zero-coupon bond with 10% yield to maturity. BondB pays $50 coupons annually and its yield to maturity is 12%. Assume $1,000 par.

 

a. Calculate the (i) market price of each bond; (ii) its duration; and (iii) its convexity.

 

b. If you buy one bond ofA and one bond ofB, what is the yield to maturity and the duration of your portfolio?

 

c. How would you change your answer in part (b) above if you buy 10 bonds ofA and one bond ofB? Compare and discuss your results.