(1) Where the period for the exercise of a right of option is specified, and the party having a right of option fails to exercise it within the period, the other party, having determined a reasonable period, may give peremptory notice to make an option; where the party having a right of option fails to do so within the reasonably fixed period, the right of option shall be vested in the other party.
(2) Where the period for the exercise of a right of option is not specified, after the claim has become due, the other party, having determined a reasonable period, gives peremptory notice to make an option, and the party having a right of option fails to do so within such period, then it becomes identical with the preceding paragraph.