Pricing and Hedging Basis Risk under No Good Deal Assumption
We consider the problem of pricing and hedging an option written on a non-exchangeable asset when trading in a correlated asset is possible. This is a typical case of incomplete market where it is well known that the super-replication concept provides generally too high prices. Here, following J.H. Cochrane and J. Saá-Requejo, we study valuation under No Good Deal (NGD) Assumption. First, we clarify the notion of NGD for dynamic strategies, compute a lower and an upper bound and prove that in fact NGD price can be strictly higher that the one previously compute in the literature. We also propose a hedging strategy by imposing criterium on the variance of the replication's error. Finally, we provide various numerical illustrations showing the efficiency of NGD pricing and hedging.
|Date of creation:||07 Jul 2010|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00498479v3|
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- Björk, Tomas & di Masi, Giovanni & Kabanov, Yuri & Runggaldier, Wolfgang, 1996.
"Towards a General Theory of Bond Markets,"
SSE/EFI Working Paper Series in Economics and Finance
143, Stockholm School of Economics.
- Erhan Bayraktar & Virginia Young, 2008.
"Pricing options in incomplete equity markets via the instantaneous Sharpe ratio,"
Annals of Finance,
Springer, vol. 4(4), pages 399-429, October.
- Erhan Bayraktar & Virginia R. Young, 2007. "Pricing Options in Incomplete Equity Markets via the Instantaneous Sharpe Ratio," Papers math/0701650, arXiv.org, revised Jul 2007.
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