Hedging Size Risk: Theory and Application to the US Gas Market

61 Pages Posted: 7 Jun 2016 Last revised: 11 Jan 2017

See all articles by Andrea Roncoroni

Andrea Roncoroni

ESSEC Business School

Rachid Id Brik

ESSEC Business School

Date Written: September 1, 2015


Many corporate commitments exhibit a combined financial exposure to both market prices and idiosyncratic size components (e.g., volume, load, or business turnover). We design a customized contract to optimally mitigate the risk of joint fluctuations in price and size terms. The hedge is sought out among contingent claims written on price and any quoted index that is statistically dependent on commitment size. Closed-form solutions are derived for the optimal custom hedge pay-off and for the asset holdings of two market strategies, one based on price-linked forwards, the other based on price-linked and index-linked forwards. Analytical hedges are obtained using a stylized lognormal market model. Detailed comparative statics provide a thorough analysis of optimal hedging pay-off functions. Performance assessment is conducted in the context of the US gas market and a prototypical urban region. Results suggest that hedging through suitable custom claims written on price and an additional index significantly outperforms standard pricebased as well as mixed price-index forward hedging alternatives. Our optimal custom hedge could be adopted as a benchmark for the relative assessment of any risk management solution.

Keywords: Corporate Risk Management, Commodity Risk, Contract Design

JEL Classification: C31, E43, G11

Suggested Citation

Roncoroni, Andrea and Id Brik, Rachid, Hedging Size Risk: Theory and Application to the US Gas Market (September 1, 2015). Available at SSRN: https://ssrn.com/abstract=2790350 or http://dx.doi.org/10.2139/ssrn.2790350

Andrea Roncoroni (Contact Author)

ESSEC Business School ( email )

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HOME PAGE: http://www45.essec.edu/faculty/andrea-roncoroni

Rachid Id Brik

ESSEC Business School ( email )

3 Avenue Bernard Hirsch
CS 50105 CERGY

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