Optimal investment with counterparty risk: a default-density modeling approach

Counterparty risk valuation for CDS

The valuation of counterparty risk for single name credit derivatives requires the computa- tion of joint distributions of default times of two default-prone entities. For a Merton-type model, we derive some formulas for these joint distribu- tions. As an application, closed formulas for counterparty risk on a CDS or for a first-to-default swap on two underlyings are obtained.

A Model for Counterparty Risk with Geometric Attenuation Effect and the Valuation of CDS

In this paper, a geometric function is introduced to reflect the attenuation speed of impact of one firm's default to its partner. If two firms are competitions (copartners), the default intensity of one firm will decrease (increase) abruptly when the other firm defaults. As time goes on, the impact will decrease gradually until extinct. In this model, the joint distribution and marginal distributions of default times are derived by employing the change of measure, so can we value the fair swap premium of a CDS.

Portfolio optimization with insider's initial information and counterparty risk

We study the gain of an insider having private information which concerns the default risk of a counterparty. More precisely, the default time τis modelled as the first time a stochastic process hits a random barrier L. The insider knows this barrier (as it can be the case for example for the manager of the counterparty), whereas standard investors only observe its value at the default time. All investors aim to maximize the expected utility from terminal wealth, on a financial market where the risky asset price is exposed to a sudden loss at the default time of the counterparty. In this frame…

当违约风险无法对冲时：通过局部风险最小化进行 xVA 计算的精算方法

When defaults cannot be hedged: xVA calculations via local risk-minimization

针对银行与交易对手违约跳跃均不可对冲的实际情形，本文采用局部风险最小化求解最优对冲策略，并借助 BSDE 计算 xVA。

CVA for Bilateral Counterparty Risk under Alternative Settlement Conventions

We depart from the usual methods for pricing contracts with the counterparty credit risk found in most of the existing literature. In effect, typically, these models do not account for either systemic effects or at-first-default contagion and postulate that the contract value at default equals either the risk-free value or the pre-default value. We propose instead a fairly general framework, which allows us to perform effective Credit Value Adjustment (CVA) computations for a contract with bilateral counterparty risk in the presence of systemic and wrong or right way risks. Our general methodo…

A Multidimensional Exponential Utility Indifference Pricing Model with Applications to Counterparty Risk

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model subject to inter-temporal default risk, and provides a semigroup approximation for the utility indifference price. The key tool is the splitting method, whose convergence is proved based on the Barles-Souganidis monotone scheme, and the convergence rate is derived based on Krylov's shaking the coefficients technique. We apply our methodology to study the counterparty risk of derivatives in incomplete markets.