Hot Buttered Rum

  • 1 stick (4 ounces) unsalted butter
  • ½ cup light brown sugar
  • 1 teaspoon vanilla extract
  • 1 teaspoon ground cinnamon
  • 1 teaspoon ground nutmeg
  • 1 teaspoon ground allspice
  • Pinch of salt
  • 2 ounces dark or aged rum
  • 6 ounces hot water
  • Cinnamon stick, for garnish (optional)