Preheat oven to 350. Spray your loaf, muffin etc. pan with non stick spray with flour.
In your mixer using the paddle – mix together the eggs, eggnog, rum, sugar, vanilla and butter. The butter will remain clumpy but that is just fine. In a separate bowl, sift the flour, pudding mix, baking powder, salt and nutmeg. Add the dry mixture to the wet and blend until incorporated. Avoid over mixing. Again, the butter will remain clumpy and this is to be expected. The butter will melt when cooking. Pour into your prepared choice of pan(s). Bake your mini loaves for approximately 30 minutes or until a toothpick comes out clean. A regular loaf pan will take about 45-55 minutes.