A 30-year maturity, 8% coupon bond paying coupons semi-annually is callable in 5 years at a call price of $1,150. The bond currently sells at a yield to maturity of 6%.

(a) What is the yield to call?

Assume that a bond has 5 years left to maturity and pays its 6% coupon semi-annually and the prevailing interest rate for this bond is 8%.

(b) Calculate the price of the bond.

c) Compute the duration and modified duration of the bond.

d) Using modified duration, compute the new price of the bond if the interest rate increases by 50 basis points.

Calculate the current market price of a zero coupon bond with a face amount of $1,000, maturing in 30 years, and priced to yield 6%.