Wall Street Interview Questions

[from www.vnqf.org]

  1. Let W_t be a Brownian motion. What is \mathbb{E}[W_t^6]?
  2. How do you compute \int_0^\infty e^{-3x^2}dx
  3. After each second, an insect may: either die, or survive, or split into 2, or split into 3 (each with probability 0.25). Suppose that there’s 1 insect at the beginning of the day, what is the probability that the whole population dies at the end of the day?
  4. (Programming) Given 2 variables a and b. How do you swap the values of a and b without using any extra memory?
  5. (Blog KHMT) Suppose (infinite power). What is x?

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