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Historical Value-at-Risk

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Hands-On Value-at-Risk and Expected Shortfall

Part of the book series: Management for Professionals ((MANAGPROF))

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Abstract

One main concern of market risk management is to guess the plausible future behavior of a portfolio’s value. There are two main parts to this:

  1. 1.

    Estimate asset price movements: compute returns and generate scenarios.

  2. 2.

    Determine the impact of those movements on the positions’ values and distill portfolio risk measures: price positions, aggregate results, and summarize.

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Notes

  1. 1.

    Other return types for interest rates can commonly be encountered (see Chap. 9).

  2. 2.

    A simpler rescaling procedure would be to just rescale all returns with the same constant to achieve the desired target volatility. The drawback here is that—potentially brief—high-vola regimes would dominate the resulting correlation disposition.

  3. 3.

    Note that S 0 coincides with the latest, most recent historical scenario H 520.

  4. 4.

    The various operators in fields like signal or image processing are often called filters.

  5. 5.

    So named after Boudoukh, Richardson, and Whitelaw.

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© 2018 Springer International Publishing AG

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Auer, M. (2018). Historical Value-at-Risk. In: Hands-On Value-at-Risk and Expected Shortfall. Management for Professionals. Springer, Cham. https://doi.org/10.1007/978-3-319-72320-4_4

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