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Sensitivities

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

Abstract

The price of a position depends on the underlying assets or risk factors, and we express this price as the function p(S) of a scenario. A natural question to ask is how this price reacts to specific scenario changes. The particular price change resulting from a small change in only one of the underlying risk factors is called the sensitivity of the position with regard to that risk factor.

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Notes

  1. 1.

    This is equivalent of using a 2200 × 2200 return matrix with only diagonal entries of 10−4.

  2. 2.

    Convince yourself of this by mentally adding the bowstring approach’s overlapping triangles.

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Auer, M. (2018). Sensitivities. In: Hands-On Value-at-Risk and Expected Shortfall. Management for Professionals. Springer, Cham. https://doi.org/10.1007/978-3-319-72320-4_5

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