Ingredients

  • 1 1/2 cups all-purpose flour
  • 1 teaspoon baking soda
  • 2 teaspoons ground cinnamon
  • 1 teaspoon freshly grated nutmeg
  • 1/4 teaspoon ground cloves
  • 1/2 teaspoon ground ginger
  • 1/4 teaspoon salt
  • 1 cup turbinado sugar such as Sugar in the Raw
  • 1 stick (1/2 cup) unsalted butter, softened
  • 2 teaspoons light rum
  • 1 large egg
  • 1 cup plus 1 tablespoon unsweetened applesauce
  • 3 tablespoons unsalted butter
  • 1 cup turbinado sugar
  • 6 tablespoons canned evaporated milk
  • 1 teaspoon light rum
  • 1 teaspoon vanilla
  • 1/8 teaspoon salt
  • 1/4 cup confectioners sugar
  • a 10-inch springform pan (25 cm)

Method

  • Place oven rack in middle position and preheat oven to 350°F. Butter pan and set aside.
  • Whisk together flour, baking soda, spices, and salt in a bowl.
  • Beat together sugar, butter, and rum with an electric mixer at medium-high speed until combined well, then add egg and beat until pale and fluffy, 2 to 3 minutes with a stand mixer or 5 to 6 minutes with a handheld. Reduce speed to low and add dry ingredients, mixing until combined well. Add applesauce and mix until combined well.
  • Spread batter evenly in springform pan and bake until a wooden pick or skewer comes out clean, 30 to 35 minutes.
  • Cool cake in pan on a rack 10 minutes, then remove side of pan and cool completely.
  • Melt 2 tablespoons butter in a 1 1/2- to 2-quart heavy saucepan, then add sugar and evaporated milk and simmer, stirring constantly until sugar is dissolved, about 4 minutes.
  • Remove from heat and whisk in rum, vanilla, salt, and remaining tablespoon butter, then whisk in confectioners sugar 1 tablespoon at a time. Cool to warm, about 20 minutes, then spread over cooled cake.