To make grants of money to other countries, click on the document icon at the top of the screen. This takes you to the grants and relationships panel.

To make a grant first select one of the large certificates (without a lock) on the panel, then click on the country  you select for the grant.  A small  grant symbol appears on the map within the borders of that country.  To set a grant that will occur every turn with no action from you, use the certificates with the locks on them.

At the beginning of the game grants are not a good idea because there are more urgent requirements for your money. You cannot make a grant until you have an embassy in the other country.

Any grant improves the relationship between the granting country and the recipient. The larger the grant, the more the relationship improves.  Generally, grants improve relations more than trade deals, and several small grants over time improve relations more than a single large grant.

The map on this panel always displays the relationships of your Empire. When any other country reaches a dark green color on this map it means that country might accept an offer to join your Empire peacefully. This overture is made using the overtures panel.

If you want to cancel an grant click on the icon that appears in that nation. It will disappear. Nothing is final until you end your turn.