We address in this paper new developments in pricing derivatives within a default event. Based on stochastic expansion arguments, the pricing is made under a generic stochastic model for the default intensity. The derivative's price is expressed through a deterministic proxy for the default...

We develop an arbitrage-free framework for consistent valuation of derivative trades with collateralization, counterparty credit gap risk, and funding costs, following the approach first proposed by Pallavicini and co-authors in 2011. Based on the risk-neutral pricing principle, we derive a...