2. 15 points, 5 points each part. Consider two semi-annual coupon bonds (CB), each with maturity T years. The first CB has face value F1, annual coupon rate q1, and is currently trading at the price p1. The second CB has face value F2, annual coupon rate q2, and is currently trading at the price p2. Without loss of generality you may assume q2>q1. Determine the value of the following securities: (1) A T year zero coupon bond (ZCB) with face value F. What condition on the current yields of the bonds is needed to ensure the ZCB price is strictly positive? (2) An annuity that will make payments of A twice per year for the next T years. (3) A third semi-annual CB with maturity T years, face value F3, and annual coupon rate q3