Option Pricing and Hedging in the Presence of Basis Risk

This paper addresses the problem of option hedging and pricing when a futures contract, written either on the underlying asset or on some imperfectly correlated substitute for the underlying asset, is used in the dynamic replication of the option payoff.

Author(s) :

Lionel Martellini

Professor of finance, EDHEC Business School and scientific director, EDHEC-Risk Institute

Vincent Milhau

Research engineer, EDHEC-Risk Institute

In the presence of unspanned basis risk modeled as a Brownian bridge process, which explicitly accounts for the convergence of the basis to zero as the futures contract approaches maturity, we are able to obtain an analytical expression for the optimal hedging strategy and corresponding option price. Empirical analysis suggests that the hedging demand against basis risk is an important ingredient of the hedging strategy. For reasonable parameter values, we also find the replication error implied by the optimal strategy to be substantially lower than that implied by heuristic strategies routinely used in practice.
Pdf
Option Pricing and Hedging in the Presence of Basis Risk...
(-1.00 B)
Type : Working paper
Date : le 22/02/2011
Extra information : For more information, please contact Joanne Finlay, EDHEC Research and Development Department [ joanne.finlay@edhec.edu ] The contents of this paper do not necessarily reflect the opinions of EDHEC Business School.
Research Cluster : Finance

See Also

Actualités
- 10-12-2017
    A very high-level programme offering unique learning experiences Four partners at the forefront of innovation in their fields of expertise   Press Release   Lille...
FT European Business School rankings 2017: EDHEC cements its position among the top 15
Actualités
- 04-12-2017
EDHEC Business School has consolidated its standing among the top 15 business schools...
QS Ranking 2018: EDHEC Global MBA among best programmes in Europe and worldwide
Actualités
- 28-11-2017
EDHEC Global MBA ranked as the 15th MBA in Europe and 29th MBA in the world : the...
Dean of Sungkyunkwan Graduate School of Business visits EDHEC Business School
Actualités
- 27-11-2017
Dean of SKK GSB visits EDHEC Business School in the framework of strategic agreement...