A retained earnings consistent KVA approach and the impact of taxes

García Muñoz, Luis Manuel and Palomar Burdeus, Juan Esteban and de Lope Contreras, Fernando (2016): A retained earnings consistent KVA approach and the impact of taxes.

Abstract

KVA represents the extra cost being charged by banks to non collateralized counterparties in order to remunerate banks' shareholders for the mandatory regulatory capital provided by them throughout the life of the deal. Therefore, KVA represents earnings charged to clients that must be retained in the bank's balance sheet and not be immediately paid out as dividends. Since retained earnings are part of core TIER I capital, future KVAs imply a deduction in today's KVA calculation.

Another key component of KVA is the fact that shareholder's returns (dividends and capital gains) are generated after taxes are paid. Therefore, taxes should be reflected in the KVA formula.

By treating KVA as retained earnings, we derive a pricing formula that is consistent with full replication of market, counterparty and funding risks, and that takes the effect of taxes into account.

We provide a numerical example where the KVA obtained under this new formula is compared with other approaches yielding significantly lower adjustments. This numerical example also helps us to assess the relevance of taxes.

• Item Type: MPRA Paper
• Language: English
• Keywords: KVA, Capital, CVA, FVA, XVA
• Subjects: G - Financial Economics > G1 - General Financial Markets > G10 - General; G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates; G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing

References

C. Albanese, S. Caenazzo, S. Crépey Capital and Funding, Risk, 71-76, May 2016

C. Burgard, M. Kjaer. Funding Costs, Funding Strategies, Risk, 82-87, Dec 2013.

Y. Elouerkhaoui. From FVA to KVA: Including the Cost of Capital in the Pricing of Derivatives, Risk in press

Luis M. García Muñoz CVA, FVA (and DVA?) with stochastic spreads. A feasible replication approach under realistic assumptions. https://mpra.ub.uni-muenchen.de/44252/

Luis M. García Muñoz, Fernando de Lope, Juan Palomar Pricing Derivatives in the New Framework: OIS Discounting, CVA, DVA & FVA https://mpra.ub.uni-muenchen.de/62086/

A. Green XVA: Credit, Funding and Capital Valuation Adjustments - Wiley (2015)

C. Kenyon, A. Green, Chris R Dennis KVA Capital Valuation Adjustment. http://ssrn.com/abstract=2400324.

C. Kenyon, A. Green Portfolio KVA: I Theory. http://ssrn.com/abstract=2519475

C. Kenyon, A. Green Warehousing credit risk: pricing, capital and tax. Risk, 1-6, February 2015

V. Piterbarg Funding beyond discounting: Collateral agreements and derivatives pricing. Risk, February, 97-102, 2010.