The U$.$S$.$ monthly inflation rate for $2020$ is shown below:

$\backslash$table$[[$MONTH$,$INFLATION $(\%),$MONTH,INFLATION $(\%)],[$January$,2\mathrm{.}5,$July,$1\mathrm{.}0],[$February$,2\mathrm{.}3,$August,$1\mathrm{.}3],[$March$,1\mathrm{.}5,$September,$1\mathrm{.}4],[$April$,0\mathrm{.}3,$October,$1\mathrm{.}2],[$May$,0\mathrm{.}1,$November,$1\mathrm{.}2],[$June$,0\mathrm{.}7,$December,$1\mathrm{.}4]]$

a$.$ Compute the inflation rate for January $2021$ using the exponential smoothing forecast using $a=0\mathrm{.}4$ and then using $0\mathrm{.}6.$ Assume that the forecast for January $2020$ is $2\mathrm{.}5.$ Do not round intermediate calculations. Round your answers to three decimal places.

$\backslash$table$[[$Forecast $($January $2021,a=0\mathrm{.}4)$:$,\%$