An Annotated Bibliography of XVA

Hringur Gretarsson

Contents

Introduction

Preface to Chapter 1

1.

Being Two-Faced over Counterparty Credit Risk

2.

Risky Funding: A Unified Framework for Counterparty and Liquidity Charges

3.

DVA for Assets

4.

Pricing CDSs’ Capital Relief

5.

The FVA Debate

6.

The FVA Debate: Reloaded

7.

Regulatory Costs Break Risk Neutrality

8.

Risk Neutrality Stays

9.

Regulatory Costs Remain

10.

Funding beyond Discounting: Collateral Agreements and Derivatives Pricing

11.

Cooking with Collateral

12.

Options for Collateral Options

13.

Partial Differential Equation Representations of Derivatives with Bilateral Counterparty Risk and Funding Costs

14.

In the Balance

15.

Funding Strategies, Funding Costs

16.

The Funding Invariance Principle

17.

Regulatory-Optimal Funding

18.

Close-Out Convention Tensions

19.

Funding, Collateral and Hedging: Arbitrage-Free Pricing with Credit, Collateral and Funding Costs

20.

Bilateral Counterparty Risk with Application to Credit Default Swaps

21.

KVA: Capital Valuation Adjustment by Replication

22.

From FVA to KVA: Including Cost of Capital in Derivatives Pricing

23.

Warehousing Credit Risk: Pricing, Capital and Tax

24.

MVA by Replication and Regression

25.

Smoking Adjoints: Fast Evaluation of Monte Carlo Greeks

26.

Adjoint Greeks Made Easy

27.

Bounding Wrong-Way Risk in Measuring Counterparty Risk

28.

Wrong-Way Risk the Right Way: Accounting for Joint Defaults in CVA

29.

Backward Induction for Future Values

30.

A Non-Linear PDE for XVA by Forward Monte Carlo

31.

Efficient XVA Management: Pricing, Hedging and Allocation

32.

Accounting for KVA under IFRS 13

33.

FVA Accounting, Risk Management and Collateral Trading

34.

Derivatives Funding, Netting and Accounting

35.

Managing XVA in the Ring-Fenced Bank

36.

XVA: A Banking Supervisory Perspective

37.

An Annotated Bibliography of XVA

XVA is a relatively young field of research. Here we list papers related to the field and group them together into categories. The main category is counterparty credit risk (CCR), which contains several smaller categories that cover different CCR components. The other important category is discounting, which has a strong impact on pricing CCR.

Although the categories are all related, each component can be viewed as an independent research topic that still generates interesting research discussions.

COUNTERPARTY CREDIT RISK

Early research: CVA and DVA

One of the first papers on unilateral counterparty credit risk was by Johnson and Stulz (1987), who look at pricing options that are sold by firms that can default. This implies an adjustment to the credit risk-free price of the option (what was later called a credit valuation adjustment (CVA)).

Cooper and Mello (1991), Hull and White (1992, 1995), Abken (1993), Sorensen and Bollier (1994) and Jarrow and Turnbull (1995) take the theory further by modelling and quantifying the unilateral default risk of interest rate (IR) swaps. Duffie and Huang (1996) and Lotz and Schlögl (2000) value bilateral counterparty credit risk

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