There are four zero-coupon Treasury bonds as follows: Maturity (years) Price ($) 0.5 979.43 1.0 955.54

There are four zero-coupon Treasury bonds as follows: Maturity (years) Price ($) 0.5 979.43 1.0 955.54 1.5 928.60 2.0 897.17 Assume that the face values are $1000 for all the bonds. (a) Determine the quasi-modified duration for the given 1.0-year zero-coupon bond. (Keep 2 decimal places, e.g. xx.12) (b) The price for a 2-year Treasury note with semi-annual coupon payments is $ 987.42. Find the annual coupon rate for the note, and hence determine its quasi-modified duration. Coupon rate: % (Keep it in percentage format with 2 decimal places, e.g. xx.12%) Qusi-modified duration: (Keep 2 decimal places, e.g. xx.12)