A bond has a price of $$1,032.$ The current yield to maturity on the bond is $6\%.$ If the yield decreases by $30$ basis points, the price of the bond will go up to $$1,072.$ Based on this information, calculate the modified duration of the bond.A bond has a price of $1,032.$ The current yield to maturity on the bond is $6\%.$ If the yield decreases by $30$ basis points, the price of the bond will go up to $$1,072.$ Based on this information, calculate the modified duration of the bond.