Nonparametric Pricing of Multivariate Contingent Claims
FRB New York Working Paper No. 162
40 Pages Posted: 6 May 2003
Date Written: March 2003
Results from the method of copulas allow the multivariate risk-neutral density to be written as a product of marginal risk-neutral densities and a risk-neutral dependence function. A technique to price contingent claims can be developed using non-parametrically estimated marginal risk-neutral densities (based on options data) and a non-parametric dependence function (based on historical return data).
Non-parametric estimation eliminates the pricing biases that result from incorrect parametric assumptions such as lognormality. The technique generates fitted multivariate contingent claim prices that are consistent with prices of traded univariate options. Under some general conditions, the objective and risk-neutral dependence functions are identical, which justifies the use of historical return data for the non-parametric dependence function, so that no data are required on traded multivariate claims.
JEL Classification: C14, G13
Suggested Citation: Suggested Citation