Preheat oven to 425F (220C). Melt butter in a large skillet, add flour, and stir to form a paste. Add sugars, nutmeg, vanilla and water. Bring to a boil. Reduce
heat and simmer
for 5 minutes. Meanwhile, place apple slices in a large bowl. Add cinnamon, and turn to coat. Place bottom crust in a pie pan. Arrange apple slices in the pan, mounded slightly. Carefully pour about 3/4 of the sugar sauce mixture over the apples. Place top crust onto the pie, making a few slits. Brush top with remaining sauce. Sprinkle with additional cinnamon, if desired. Bake
for 15 minutes at 425F (220C). Reduce temperature to 350F (175C), and continue baking for 35 to 45 minutes more.