Employee stock options

Assuming for example:

  • Grant of options 1 January 2010
  • Vesting of options 1 January 2015

I understand the expense will be recognised between the two above dates, on a straight line basis

However what happens in the option price (and value) increases in between these two dates? Is the amount to be expensed determined at grant date and does not change even if value of the options change?