Question regarding modified bond duration and convexity. Note that this is a difficult question so please SHOW ALL WORK. Details are in attached document.

A. In a recent trading session, the benchmark 30-year Treasury bond's market price went up 12.3 dollars per $1000 face value to 1028.7 dollars, while its yield fell from .07 to .068. The bond's market price then went up another 11.3 dollars per $1000 face value as the yield fell further to .0665 from .068. Report answers for the following (using average of latest two bond prices for duration and average of latest three bond prices for convexity): 1. Convexity, using the average of all three market prices of the bond in the denominator of the formula. 2. First modified duration, using average of first two market prices of the bond in the denominator of the formula. 3. Second modified duration, using average of second and third prices of the bond. 4. The expected rise in bond price if the interest rate were to fall another 20 basis points (.002) from .0665, using the average of two modified durations and convexity