Peel the carrots and grate finely on the grater. Melt some butter in a pan and sauté the carrots with honey and lemon juice for a short time (1 min.). Put in a bowl and let it cool down.
Peel the persimmons, cut into small cubes, add to the sweet carrot mixture and mix in. Finally stir in the yoghurt (if necessary save 2 spoons for decoration).
Fill the dessert into glasses or bowls, decorate with a dollop of yogurt and a few grated carrots.