We show that when a derivative portfolio has different correlated underlyings, hedging using classical greeks (first-order derivatives) is not the best possible choice. We first show how to adjust greeks to take correlation into account and reduce P&L volatility. Then we embed correlation-adjusted greeks in a global hedging strategy that reduces cost of hedging without increasing P&L volatility, by optimization of hedge re-adjustments. The strategy is justified in terms of a balance between transaction costs and risk-aversion, but, unlike more complex proposals from previous literature, it is completely defined by observable parameters, geometrically intuitive, and easy to implement for an arbitrary number of risk factors. We test our findings on a CVA hedging example. We first consider daily re-hedging: in this test, correlation-adjusted greeks allow the reduction of P&L volatility by more than 30% compared to standard deltas. Then we apply our general strategy to a context where a CVA portfolio is exposed to both credit and interest rate risk. The strategy keeps P&L volatility in line with daily standard delta-hedging, but with massive cost-saving: only six rebalances of the illiquid credit hedge are performed, over a period of six months.
Daluiso, R., & Morini, M. (2017). Hedging efficiently under correlation. QUANTITATIVE FINANCE, 17(10), 1535-1547 [10.1080/14697688.2017.1299201].
|Citazione:||Daluiso, R., & Morini, M. (2017). Hedging efficiently under correlation. QUANTITATIVE FINANCE, 17(10), 1535-1547 [10.1080/14697688.2017.1299201].|
|Tipo:||Articolo in rivista - Articolo scientifico|
|Carattere della pubblicazione:||Scientifica|
|Presenza di un coautore afferente ad Istituzioni straniere:||No|
|Titolo:||Hedging efficiently under correlation|
|Autori:||Daluiso, R; Morini, M|
DALUISO, ROBERTO (Primo)
MORINI, MASSIMO (Corresponding)
|Data di pubblicazione:||2017|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1080/14697688.2017.1299201|
|Appare nelle tipologie:||01 - Articolo su rivista|