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1
Preheat the oven to 425u00b0F.
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2
Cut the potato into medallion coins, about 1/2-inch thick, and add to a pot of cold water. Turn the heat to high, bring to a boil, and drain in a colander over the sink. Give it a few seconds to steam out (the residual heat should evaporate any excess water). Then, in the same colander, toss with the melted butter and season generously with salt and pepper. Grate in a bit of nutmeg as well.
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3
Transfer dressed potatoes to a sheet pan and roast in the oven for 30 minutes, flipping halfway.
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4
Meanwhile, when the potatoes have 15 minutes left to go, preheat a 3.5-inch cast iron skillet (or any oven-safe pan :) ) over medium heat. Smear the filet mignon with olive oil and season generously with salt and pepper. When the pan is just starting to smoke, add the steak, pressing gently into the pan so it's in full-contact with the heat and so it gets a nice sear. Cook for 4 minutes on this first side, then flip and cook for 3 minutes on the other side.
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5
Transfer steak to the oven and finish cooking there for 3 to 5 minutes, depending on your preferred doneness. (I always go for 3 minutes because I love a rare filet mignon.) Plate and let rest for 5 minutes.
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6
To serve, carve the steak like this: Cut in half so you've got half moons. Then, what I like to do is cut each half once more horizontally so you're cutting against the grain. This makes for the softest-textured steak ever. Eat with the roasted potatoes and pomegranate molasses, a lovely make-shift steak sauce.
