We analyze the liquidity component in a derivative transaction where both counterparties can default, and the effect of a counterparty's default probability on his funding costs and benefits. The analysis shows that the value of a transaction is influenced not by the total cost of funding of a...

Standard techniques for incorporating liquidity costs into the fair value of derivatives produce counter-intuitive results when credit risk of the counterparty (CVA) and of the investor (DVA) are added to the picture. Here, Massimo Morini and Andrea Prampolini show that a consistent framework...

We analyze the liquidity component in a derivative transaction where both counterparties can default, and the effect of a counterparty's default probability on his funding costs and benefits. The analysis shows that the value of a transaction is influenced not by the total cost of funding of a...

In modern monetary systems most money is created by commercial banks; we review how private money in the form of deposits circulates and discuss its possible tokenization. We show that a compelling case for the tokenization of bank deposits exists irrespective of the debate regarding central...

In this work Massimo Morini and Andrea Prampolini argue that KVA is a component of profit turned into a valuation adjustment as a by-product of regulatory constraints based on a conservative consideration of market hedges. The regulatory foundations of KVA are analyzed from RWAs to the Leverage...

We discuss in detail the mapping methodology for the valuation of bespoke single tranche Collateralized Debt Obligations in the context of the stochastic recovery gaussian factor modelling framework recently proposed by Amraoui and Hitier (2008)

We analyze the practical consequences of the bilateral counterparty risk adjustment. We point out that past literature assumes that, at the moment of the first default, a risk-free closeout amount will be used. We argue that the legal (ISDA) documentation suggests in many points that a...

In this work we consider three problems of the standard market approach to pricing of credit index options: the definition of the index spread is not valid in general, the usually considered payoff leads to a pricing which is not always defined, and the candidate numeraire one would use to...

In this paper we develop structural first passage models (AT1P and SBTV) with time-varying volatility and characterized by high tractability, moving from the original work of Brigo and Tarenghi (2004, 2005) [19] [20] and Brigo and Morini (2006)[15]. The models can be calibrated exactly to credit...

We compare two different bilateral counterparty valuation adjustment (BVA) formulas. The first formula is an approximation and is based on subtracting the two unilateral Credit Valuation Adjustment (CVA)'s formulas as seen from the two different parties in the transaction. This formula is only a...