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Preheat oven to 350 degrees F and thoroughly grease a 9-inch springform pan.
In a large bowl, beat butter and sugar until smooth, then add eggs one at a time, followed by the vanilla.
Slowly mix the dry ingredients into the wet until just combined, then fold in apples and nuts if using.
Caramel: when cake has been baking for 30 minutes, start the caramel. Add brown sugar, half & half, and butter to a small saucepan over medium-low heat. Stir often until the mixture is smooth and fully combined, no need to bring to a full boil.
Remove cake from oven and pour caramel over the top. Return cake to oven for additional 10-15 minutes or until caramel is cracking and cake is cooked through the center.
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