Analytical risk contributions for non-linear portfolios
The value-at-risk of portfolios needs to account for non-linear effects in the loss distribution’s dependence on risk factors. Using the classical Cornish-Fisher expansion, Helmut Lutz and Carsten Wehn derive analytical formulas for risk contributions to the VAR
Estimating and controlling exposure to different kinds of risk is an important task for every financial institution. It is market practice to measure risks in terms of value-at-risk, that is, as a quantile of the portfolio’s loss distribution over a given time horizon.
Once the calculation of VAR has been done at a group or portfolio level, the question of distributing the corresponding risk capital adequately back to portfolios and their risk factors is of crucial importance for managing the institution. Whenever the risk contributions are known, economic capital can be allocated in a consistent manner (see, for example, Brockmann & Kalkbrener, 2010).
Click here for a full version of this article.
Only users who have a paid subscription or are part of a corporate subscription are able to print or copy content.
To access these options, along with all other subscription benefits, please contact info@risk.net or view our subscription options here: http://subscriptions.risk.net/subscribe
You are currently unable to print this content. Please contact info@risk.net to find out more.
You are currently unable to copy this content. Please contact info@risk.net to find out more.
Copyright Infopro Digital Limited. All rights reserved.
As outlined in our terms and conditions, https://www.infopro-digital.com/terms-and-conditions/subscriptions/ (point 2.4), printing is limited to a single copy.
If you would like to purchase additional rights please email info@risk.net
Copyright Infopro Digital Limited. All rights reserved.
You may share this content using our article tools. As outlined in our terms and conditions, https://www.infopro-digital.com/terms-and-conditions/subscriptions/ (clause 2.4), an Authorised User may only make one copy of the materials for their own personal use. You must also comply with the restrictions in clause 2.5.
If you would like to purchase additional rights please email info@risk.net
More on Risk management
Cyber insurance premiums dropped unexpectedly in 2025
Competition among carriers drives down premiums, despite increasing frequency and severity of attacks
Op risk data: Kaiser will helm half-billion-dollar payout for faking illness
Also: Loan collusion clobbers South Korean banks; AML fails at Saxo Bank and Santander. Data by ORX News
Market doesn’t share FSB concerns over basis trade
Industry warns tougher haircut regulation could restrict market capacity as debt issuance rises
CGB repo clearing is coming to Hong Kong … but not yet
Market wants at least five years to build infrastructure before regulators consider mandate
Rethinking model validation for GenAI governance
A US model risk leader outlines how banks can recalibrate existing supervisory standards
FCMs warn of regulatory gaps in crypto clearing
CFTC request for comment uncovers concerns over customer protection and unchecked advertising
UK clearing houses face tougher capital regime than EU peers
Ice resists BoE plan to move second skin in the game higher up capital stack, but members approve
The changing shape of variation margin collateral
Financial firms are open to using a wider variety of collateral when posting VM on uncleared derivatives, but concerns are slowing efforts to use more non-cash alternatives
