We consider an option c which is contingent on an underlying (tilde S) that is not a traded asset. This situation typically arises in the context of real options. We investigate the situation when there is a "surrogate" traded asset S whose price process is highly correlated with that of (tilde S). An illustration would be the cases where S and (tilde S) model two different brands of crude oil. The main result of the paper shows that in this case one cannot draw any non-trivial conclusions on the price of the option by only using no arbitrage arguments. In a second step we try to isolate hedging strategies on the traded asset S which minimize the variance of the hedging error. We show in particular, that the naive strategy of simply replacing (tilde S) by S fails to be optimal and we are able to quantify how far it is from being optimal. (author's abstract) / Series: Working Papers SFB "Adaptive Information Systems and Modelling in Economics and Management Science"
Identifer | oai:union.ndltd.org:VIENNA/oai:epub.wu-wien.ac.at:epub-wu-01_1be |
Date | January 1999 |
Creators | Hubalek, Friedrich, Schachermayer, Walter |
Publisher | SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business |
Source Sets | Wirtschaftsuniversität Wien |
Language | English |
Detected Language | English |
Type | Working Paper, NonPeerReviewed |
Format | application/pdf |
Relation | http://epub.wu.ac.at/110/ |
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