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ChatGPT’ed Monte Carlo exam

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This semester I was teaching a graduate course on Monte Carlo methods at Paris Dauphine and I decided to experiment how helpful ChatGPT would prove in writing the final exam. Given my earlier poor impressions, I did not have great expectations and ended up definitely impressed! In total it took me about as long as if I had written the exam by myself, since I went through many iterations, but the outcome was well-suited for my students (or at least for what I expected from my students). The starting point was providing ChatGPT with the articles of Giles on multi-level Monte Carlo and of Jacob et al on unbiased MCMC, and the instruction to turn them into a two-hour exam. Iterations were necessary to break the questions into enough items and to reach the level of mathematical formalism I wanted. Plus add extra questions with R coding. And given the booklet format of the exam, I had to work on the LaTeX formatting (if not on the solution sheet, which spotted a missing assumption in one of my questions). Still a positive experiment I am likely to repeat for the (few) remaining exams I will have to produce!

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