Bootstrapping value at risk (VaR)

This is an illustration, using a simple portfolio of four stocks over one week, of the bootstrap method. Like the Monte Carlo, we want to simulate each stock (in the portfolio) forward in time. If today is time t, then we want to simulate the stock on t+1, t+2, t+3, etc. The key difference is: The Monte Carlo uses an algorithm (eg, geometric Brownian motion) to simulate the stock on t+1. In MCS, the randomness is applied in the algorithm; it informs the stochastic process But The bootstrap …

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