After searing, brush the mustard-herb mixture generously over the tenderloin. The coating adds flavor that complements the mild taste of the beef.
When searing, give each side of the roast —since it's round, there are three to four "sides"—a few minutes of undisturbed cooking. Resist the temptation to constantly turn the beef from side to side and you'll be rewarded with a beautifully browned crust.
I rub the meat with the mustard-herb mix after searing it (rather than before) for two reasons: the mustard would introduce moisture to the pan, again interfering with browning, and it would burn. The simple rub adds flavor to the tenderloin without overwhelming the cut's mild beef taste.
Remove the meat when it reaches 120°F, and let it rest. Cooking a beef tenderloin is almost foolproof. There are two places where people commonly err: one is overcooking it; the other is not giving it an ample rest. Many cookbooks suggest removing the meat when it reaches 125°F, but I prefer 120°F for a roast that's a perfect medium rare. Keep in mind that carryover heat will continue to cook the meat as it rests, raising the temperature by 10 to 15 degrees.
Let the meat rest in a warm place for at least 15 minutes (longer is fine) before slicing it. The rest equalizes the temperature and gives the meat fibers time to reabsorb the internal juices. Without an ample rest, the juices will rush out when you slice, and your meat will be dry. I don't bother tenting the meat with foil. It stays warm without it, and the wrapping would soften the roast's crust.