Option spanning beyond $L_p$-models

Abstract

\begin{abstract} The aim of this paper is to study the spanning power of options in a static financial market that allows non-integrable assets. Our findings extend and unify the results in [8,9,18] for $L_p$-models. We also apply the spanning power properties to the pricing problem. In particular, we show that prices on call and put options of a limited liability asset can be uniquely extended by arbitrage to all marketed contingent claims written on the asset.

References in corpus (1)

• Uo-convergence and its applications to Cesàro means in Banach lattices

Cited by in corpus (1)

• Smallest order closed sublattices and option spanning