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

The SABR closed-form formula (Hagan et. al 2002) is the standard for smile-consistent pricing in the swaption market. Here we address the issue of turning SABR assumptions into a consistent and arbitrage-free term structure model in the BGM/Libor Market Model framework. We compute the joint...

We present a simple methodology to guarantee that the total correlation structure in a Term Structure Model with one stochastic volatility factor remains positive semidefinite. We design the parameterization with the purpose of keeping as much freedom as possible for the correlation of interest...

The book's content is focused on rigorous and advanced quantitative methods for the pricing and hedging of counterparty credit and funding risk. The new general theory that is required for this methodology is developed from scratch, leading to a consistent and comprehensive framework for...

The Initial Margin is an amount of collateral that CCPs and Regulators require dealers to post beside Variation Margin. Computing the funding cost associated to Initial Margin requirements, at times called MVA (Margin Value Adjustment), presents both conceptual and computational challenges. Here...

In July 2011 Risk Magazine reported that some market operators believe that in 2007 and 2008 Libor rates underestimated the real cost of funding of banks since “some banks were putting in artificially low rates” (Wood, 2011). This is currently the focus of some lawsuits and investigations....

In response to the financial crisis, a plethora of new research appeared which attempted to understand, incorporate, and delineate the most significant changes observed in the market. Editors Massimo Morini and Marco Bianchetti have both experienced first-hand how market patterns and...

This paper presents the implementation of a derivative market on a public blockchain. Managing derivatives on a distributed system requires a careful re-design of the derivatives business model. The implementation presented here provides many of the features financial professionals are used to,...

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...