cooking my first filet mignon

Any advice on cooking a perfect filet? I have done a roast tenderloin with success but never just a steak and I really don't want to ruin our valentine dinner. I am planning to sear in cast iron and finish in the oven but am not really sure of the cooking times. Any other foolproof recommendations? I know it must seem like a pretty simple thing to cook but I have a fear of expensive cuts of beef. The steaks are just about 1.5" thick.

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