Bond A has a price of 2,750 at an annual effective yield rate of 6%. The modified duration of the bond is 12. Bond B has a price of 2,000 at an annual effective yield rate of 6%. The modified duration of the bond is ModDB. If the annual yield rate drops by 2%, both estimated bond prices increase by the same dollar amount using the first-order Macaulay approximation. Calculate ModDB.

In the 10th grade, i was teamed up in a group of four. our project was on modern history. altho it seemed super hard for many of us. patrick fleming  took charge and showed us the understanding of this project.  his leadership showed great ethics and it taught me, personally, how to others understand, not just to show them, but explain it thoroughly. and altho he was a great teacher i would have changed a few things. one being his attitude. many times he would get frustrated and impatient with the group.  i think  a leader i would have done exactly  what he did but with much more patience and be there more to explain. such as lunch  learning. and giving everybody a chance to try to explain it in their  head.