The correct option is A Will study
Here, 'will study' in simple future tense is correct because it is used to indicate an action that has not taken place as yet. Here, 'will study' is an action that has not taken place as yet.
'Am studying' in present continuous is incorrect because it implies an action going
on at the time of speaking.
'Was studying' in past continuous is incorrect because it is used to indicate
uncompleted action in the past (with or without time reference).
Usage of 'study' in this sentence is grammatically incorrect.