Preheat oven to 350 degrees Fahrenheit. Grease bottom of a 9×5-inch loaf pan. Beat eggs in the bottom of a large mixing bowl. Add sugar, eggnog, butter and rum extract. Blend well. Add flour, baking powder, salt and nutmeg. Stir just until the dry ingredients are moistened. Pour into greased loaf pan.
Bake at 350 degrees for 50 minutes or until toothpick or knife inserted in center comes out clean. Cool 10 minutes before removing from pan.