A manufacturing entity received a grant of $$1$ million towards the purchase of a machine on $1$ January $2020.$ The grant will be repayable if the entity sells the asset within $4$ years, on which the entity does not intend to sell. The asset has a useful life of $5$ years. What is the deferred income liability balance as at $30$ June $2020?$

$$ $ $100,000$

$ $200,000$

$ $250,000$

$ $900,000$