Pastner Brands is a calendar$-$year firm with operations in several countries. As part of its executive compensation plan, at January $1,2024,$ the company issued $480,000$ executive stock options permitting executives to buy $480,000$ shares of Pastner stock for $$40$ per share. One$-$fourth of the options vest in each of the next four year's beginning at December $31,2024($graded vesting$).$ Pastner elects to separate the total award into four groups $($or tranches$)$ according to the year in which they vest and measures the compensation cost for each vesting date as a separate award. The fair value of each tranche is estimated at January $1,2024,$ as follows:

$\backslash$table$[[$Vesting Date,$\backslash$table$[[$Amount$],[$Vesting$]],\backslash$table$[[$Fair Value$],[$per Option$]]],[$December $31,2024,25\%,$$$4\mathrm{.}10$