Grease and flour the bottom and 1/2 inch up the sides of a 9x5x3-inch loaf pan; set aside. In a large bowl combine flour, baking powder, cinnamon, baking soda, salt, and nutmeg. Make a well in center of the flour mixture; set aside.
In a medium bowl combine eggs, sugar, banana, apple butter, and oil. Add egg mixture all at once to flour mixture. Stir just until moistened (batter should be lumpy). Spoon batter into prepared pan.
Bake in a 350 degree oven about 45 minutes or until a wooden toothpick inserted near center comes out clean. Cool in pan on a wire rack for 10 minutes. Remove from pan. Cool completely on a wire rack. Wrap and store overnight before slicing. Makes 1 loaf (16 servings).