Risk-neutral valuation under differential funding costs, defaults and collateralization
Pricing of Securities
2018-03-01 v1
Abstract
We develop a unified valuation theory that incorporates credit risk (defaults), collateralization and funding costs, by expanding the replication approach to a generality that has not yet been studied previously and reaching valuation when replication is not assumed. This unifying theoretical framework clarifies the relationship between the two valuation approaches: the adjusted cash flows approach pioneered for example by Brigo, Pallavicini and co-authors ([12, 13, 34]) and the classic replication approach illustrated for example by Bielecki and Rutkowski and co-authors ([3, 8]). In particular, results of this work cover most previous papers where the authors studied specific replication models.
Cite
@article{arxiv.1802.10228,
title = {Risk-neutral valuation under differential funding costs, defaults and collateralization},
author = {Damiano Brigo and Cristin Buescu and Marco Francischello and Andrea Pallavicini and Marek Rutkowski},
journal= {arXiv preprint arXiv:1802.10228},
year = {2018}
}