Keep it simple and make it personal.
For example, if a person, or company were named, say, "Avion," which, in Spanish, means "airplane," then the logo could logically relate to aviation. Soomething as simple as a graphic representation of an airplane sillhouette, or a charicature of an airplane, or a propeller, or just the outline of an airplane tail assembly could make a good and recognizable logo. One doesn't need the entire airplane and all its parts to help the viewer make the connection between the name and the graphic.
Or, if your interest was soccer, as in if you had a true PASSION for soccer, then a soccer ball, or, even a PORTION of a soccer ball could make a good logo.
But the best logos don't require a lot of detail or fine lines to work. In fact, such details could work AGAINST a corporate logo. Thin, filligreed lines may work all right on a large sign, billboard or poster, but when the logo is reduced to the size to fit on a business card, or a telephone book ad, the detail gets lost, or worse, bleeds into other lines making a muddy mess, the detail is wasted.
Your initials MIGHT be incorporated into an image, but, in some cases, the initials alone work fine, as long as it is in an appropriate typeface, or a pleasing, logical arrangement. The Yahoo logo, for instance is just a playful font in a loose, casual arrangement. If that is the Yahoo corporate culture, then it is an appropriate logo.
Don't "over design" this piece. If the design looks forced, then it will have less chance of working well. Intricate, "Old English" letters, as an example, have very little to do with most high school students, so, even if the designer happens to LIKE Old English, it would be a poor choice for a logo. (an exeption would be if the person were named Bobby Knight. THEN the Old English font for the B and the K could be the RIGHT choice)
It should take careful thought to create a good logo, so put some thought into yours before you begin to put anything down on paper. Then, when you get a few ideas, start out by making a LOT of quick sketches of various ideas, instead of directly working on anything resembling a finished product. It would be a shame to dig too deeply and invest a lot of time on a dead end design. Gradually work your way to your finished idea. Don't be afraid to abandon something that is just not working.
The end result should not be the idea that you spent the most time on. It should be the BEST idea that works.