Assume you are a fixed income portfolio manager holding AT&T notes that have $40 million in total current market value (not face amount). The notes have an annual coupon rate of 7.125%, and mature on March 15, 2026 or in about 3.5 years. The notes make semi-annual coupon payments on March 15 and Sept 15 of each year; thus assume the note just paid a coupon, the next coupon is to be received in 6 months and so on every 6 months, and the instrument matures in 3.5 years.

1. The next three to 2-3 months until December are of concern, as you believe that rates may unexpectedly rise. What impact would a 50 basis point jump in interest rates have on the value of your bond portfolio (approximate by using modified duration)? In other words, estimate the predicted change in value based on modified duration.