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Though I don't like to admit it, I do have to do some work occasionally. These are some of the more interesting things I've done.

Bank Loans in a Multiperiod Repayment Model. Find out just how much banks overcharge you for loans (sorry, you'll have to do the numerical work yourself. This is just theory). Maximizing Utility on the Mean-Variance Frontier. More than you ever wanted to know about efficient portfolios without shortsale constraints.