Caramel Apple Cake

Name: Caramel Apple Cake
Prep time: 15 min
Cook time: 20 min
Total time: 35 min
Cuisine: American
Ingredients: 2 c of all-purpose flour; 2 cups of Granny Smith apples peeled and chopped (about 2-3 medium apples); 1 c of lightly packed light brown sugar; 1 c of granulated sugar; 1/2 c of buttermilk; 1 of ground cinnamon; 2 sticks of unsalted butter; 1/2 tsp of baking soda; 1/4 tsp of salt; 2 large eggs; 1 tsp of vanilla; 1 1/2 c of hot water; 3 c of powdered sugar; 1 stick of unsalted melted butter; 1/2 tsps of vanilla extract; 1/4 c of milk; 1/2 c of caramel- slightly warmed