Preheat the oven to 180°C (356°F).
Mash the bananas.
Mix butter and sugar, then add eggs and whisk.
Add the mashed bananas and milk, and mix well.
Sift in cake flour, baking powder, and salt, and mix evenly.
Pour the batter into a pound cake pan.
Bake in the preheated oven for 40-50 minutes.
Let it cool before serving.