What is KVA (Capital Valuation Adjustment), and how does it change the economics of derivative pricing?

KVA (Capital Valuation Adjustment) represents the cost of regulatory capital that must be held against a derivative position over its lifetime. As Basel III and IV significantly increased capital requirements for derivatives (through SA-CCR, FRTB, CVA capital), the cost of committing that capital has become a material component of derivative pricing.\n\nKVA Concept:\n\nKVA = integral from 0 to T of: h x K(t) x DF(t) dt\n\nwhere:\n- h = hurdle rate (cost of equity capital, typically 8-12%)\n- K(t) = regulatory capital required at time t\n- DF(t) = discount factor\n\nThe integral sums the present value of capital costs over the trade's life. Unlike CVA (which is an expected loss), KVA is a cost of doing business -- the return shareholders demand for tying up capital.\n\nWhy KVA Matters Now:\n\nPre-2008, regulatory capital for derivatives was relatively low and often ignored in pricing. Post-Basel III:\n- SA-CCR replaced CEM, increasing EAD for many trade types\n- CVA capital charges added a new layer of capital requirements\n- Leverage ratio constraints bind on low-margin trades\n- FRTB increased market risk capital for trading desks\n\nThe cumulative effect is that capital charges can represent 20-50% of a dealer's total derivative costs.\n\nWorked Example:\nFortis Derivatives prices a 7-year interest rate swap with Kensington Corp (A-rated):\n\n| Year | Reg Capital Required (K) | Discount Factor |\n|---|---|---|\n| 1 | $2.4M | 0.9524 |\n| 2 | $2.8M | 0.9070 |\n| 3 | $3.1M | 0.8638 |\n| 4 | $2.9M | 0.8227 |\n| 5 | $2.5M | 0.7835 |\n| 6 | $1.8M | 0.7462 |\n| 7 | $0.9M | 0.7107 |\n\nHurdle rate (h): 10%\n\nKVA = 0.10 x [2.4 x 0.9524 + 2.8 x 0.9070 + 3.1 x 0.8638 + 2.9 x 0.8227 + 2.5 x 0.7835 + 1.8 x 0.7462 + 0.9 x 0.7107]\n= 0.10 x [2.286 + 2.540 + 2.678 + 2.386 + 1.959 + 1.343 + 0.640]\n= 0.10 x 13.832 = $1,383,200\n\nThis $1.38 million must be embedded in the swap's bid-offer spread. On a $200 million notional swap, this equates to roughly 0.69 bps of annual running spread.\n\nControversies:\n1. Hurdle rate subjectivity -- Different banks assume different cost of equity, making KVA non-standardized\n2. Accounting treatment -- KVA is not recognized as a liability under IFRS (unlike CVA), creating P&L asymmetry\n3. Double counting -- Some argue that KVA overlaps with the return already demanded by equity investors\n4. Competitive distortion -- Banks with higher capital requirements price KVA higher, losing trades to less-regulated entities\n\nImpact on Market Structure:\nKVA has accelerated the migration to clearing (lower capital), portfolio compression (fewer trades), and the use of capital-efficient structures (collateralized, short-dated).\n\nStudy xVA frameworks in our FRM Part II materials.