A bond has a current price of $$1,030.$ The yield on the bond is $8\mathrm{.}00\%.$ If the yield changes from $8\mathrm{.}00\%$ to $8\mathrm{.}10\%,$ the price of the bond will go down to $$1,025\mathrm{.}88.$ The duration of this bond is $\_\_\_\_\_$years. Please do not solve for the modified duration.