Praise be to Allah.
If the contract between you and the bank is for the purchase of this piece of land then this land becomes your property, even if you have not yet paid its price in full, and the rest of the price is a debt that you owe.
But if you cannot dispose of this land and sell it until all instalments have been paid, then in this case you do not have to pay zakaah on it, because your ownership of this land is not yet complete, and one of the conditions of zakaah being obligatory is that one should have full ownership in which sale of the property in question is completely under one’s control.
It says in Fataawa al-Lajnah ad-Daa’imah (9/449) concerning land which the owner is prevented from disposing of:
If you are not allowed to dispose of it, then you do not have to pay zakaah on it until you are able to dispose of it; then after that you must pay zakaah on it in the future, when one full hijri year has passed since you became able to dispose of it. End quote.
But if you are able to dispose of this land and sell it, even if that is via the bank without that being detrimental to your interests, then in this case you are obliged to pay zakaah on it, i.e., the zakaah on trade goods (2.5%).
Zakaah must be paid on the full value of the land, because the remaining instalments are a debt that you owe to the bank. The more correct of the two scholarly opinions is that debt does not rule out the obligation of paying zakaah, as has been discussed previously in the answer to question no. 22426
What you must do is give zakaah on this land based on its market price on the day zakaah becomes due, whether this value is equivalent to the sale price or is less or more than that. The value of the land should be worked out at the end of the zakaah year, then its zakaah must be paid on that basis.
This has been discussed previously in the answer to question no. 26236
So long as you currently intend to trade in that land, then you must give zakaah on it. If your intention changes later on, and you decide to use it for building a house or some other purpose, then you do not have to give zakaah on it.
See the answer to question no. 117711.
It is not permissible to give zakaah to the ascendants or descendants of the one who is giving the zakaah, such as the father or mother, or the son or daughter.
This has been discussed previously in the answer to question no. 81122
And Allah knows best.