Buttered Rum Spiced Cider

6 cups apple cider
1/2 teaspoon whole cloves
1/4 teaspoon ground cinnamon
3 cinnamon sticks
6 tablespoons butter
6 tablespoons packed brown sugar
3/4 cup rum

Heat cider, cloves, nutmeg, ground cinnamon and cinnamon sticks to boiling in 3-quart saucepan over medium-high heat; reduce heat to low. Simmer uncovered 10 minutes. Strain cider mixture to remove cloves and cinnamon sticks if desired.

For each serving, place 1 tablespoon butter, 1 tablespoon brown sugar and 2 tablespoons rum in mug. Fill with hot cider.