Multivariate Option Pricing with Copulas
AbstractIn this paper we suggest the adoption of copula functions in order to price multivariate contingent claims. Copulas enable us to imbed the marginal distributions extracted from vertical spreads in the options markets in a multivariate pricing kernel. We prove that such kernel is a copula function, and that its super -replication strategy is represented by the Fréchet bounds. As applications, we provide prices for binary digital options, options on the minimum and options to exchange one asset for another. For each of these products, we provide no-arbitrage pricing bounds, as well as the values consistent with independence of the underlying assets. As a final reference value, we use a copula function calibrated on historical data.
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Bibliographic InfoPaper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 05-2002.
Length: 26 pages
Date of creation: Jan 2002
Date of revision:
option pricing; basket options; copula functions; non-normal returns;
This paper has been announced in the following NEP Reports:
- NEP-RMG-2003-07-10 (Risk Management)
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