KVA from the Beginning
16 Pages Posted: 18 Sep 2017 Last revised: 6 Oct 2019
Date Written: July 10, 2017
Understanding the interaction between a new derivative, its financing and the wider balance sheet during pricing is critical for dealer profitability. For this purpose we extend a single period structural balance sheet model developed in Andersen, Duffie and Song to include equity financing before deriving consistent firm and shareholder break even prices. The former is given by the risk neutral expectation of the derivative cash flow in all scenarios including dealer default, discounted at the risk-free rate. The latter on the other hand is given by a dealer survival measure expectation of the derivative cash flow, including at counterparty default, discounted at the dealer weighted average rate of capital. This discounting rate is partially determined by the minimum amount to equity funding required by regulators. We next show how the shareholder break even price can be split into funding and capital valuation adjustments. All results are valid whether the dealer chooses to hedge the derivative or not.
Keywords: Regulatory capital, Valuation adjustments, Balance sheet modelling, indifference pricing
JEL Classification: G13
Suggested Citation: Suggested Citation