From bid-ask credit default swap quotes to risk-neutral default probabilities using distorted expectations
Mathematical Finance
2021-08-17 v1
Abstract
Risk-neutral default probabilities can be implied from credit default swap (CDS) market quotes. In practice, mid CDS quotes are used as inputs, as their risk-neutral counterparts are not observable. We show how to imply risk-neutral default probabilities from bid and ask quotes directly by means of formulating the CDS calibration problem to bid and ask market quotes within the conic finance framework. Assuming the risk-neutral distribution of the default time to be driven by a Poisson process we prove, under mild liquidity-related assumptions, that the calibration problem admits a unique solution that also allows to jointly calculate the implied liquidity of the market.
Cite
@article{arxiv.2108.06578,
title = {From bid-ask credit default swap quotes to risk-neutral default probabilities using distorted expectations},
author = {Matteo Michielon and Asma Khedher and Peter Spreij},
journal= {arXiv preprint arXiv:2108.06578},
year = {2021}
}