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Balance Sheet at 31 December 2010 of BBVA

Balance Sheet at 31 December 2010 of BBVA

Balance Sheet at 31 December 2010 of BBVA

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Transl<strong>at</strong>ion <strong>of</strong> financial st<strong>at</strong>ements originally issued in Spanish and prepared in accordance with generally accounting principles Spain (See Note 1 and 54). In the event <strong>of</strong> a discrepancy, the Spanishlanguage<br />

version prevails.<br />

Financial Instruments<br />

LEVEL 2<br />

Valu<strong>at</strong>ion techniques Main assumptions Main inputs used<br />

<strong>2010</strong><br />

Fair value (Millions <strong>of</strong> Euros)<br />

Trading portfolio<br />

• Debt securities<br />

Present-value method.<br />

Calcul<strong>at</strong>ion <strong>of</strong> the present value <strong>of</strong> financial instruments as the current value <strong>of</strong> future<br />

cash flows (discounted <strong>at</strong> market interest r<strong>at</strong>es), taking into account:<br />

• Estim<strong>at</strong>e <strong>of</strong> prepayment r<strong>at</strong>es;<br />

• Risk premiums.<br />

• Observable market<br />

interest r<strong>at</strong>es.<br />

Debt securities 898<br />

Equity instruments 15<br />

Available-for-sale financial assets<br />

• Equity instruments<br />

• Issuer credit risk; and<br />

• Current market interest r<strong>at</strong>es.<br />

• Net Asset Value (NAV) published recurrently, but not every quarter<br />

Debt securities 2,717<br />

Equity instruments 26<br />

Analytic/Semi-analytic Formulae<br />

For share, currency, infl<strong>at</strong>ion or commodity deriv<strong>at</strong>ives:<br />

• Black-Scholes assumptions take possible convexity adjustments into account<br />

(e.g. Quanto adjustments).<br />

For interest r<strong>at</strong>e deriv<strong>at</strong>ives:<br />

• Black-Scholes models apply a lognormal process for forward r<strong>at</strong>es and<br />

consider possible convexity adjustments (e.g., arrears, timing adjustments).<br />

For credit deriv<strong>at</strong>ives:<br />

For share, currency,<br />

infl<strong>at</strong>ion or commodity<br />

deriv<strong>at</strong>ives:<br />

• Forward structure <strong>of</strong><br />

the underlying asset.<br />

• Vol<strong>at</strong>ility <strong>of</strong> options.<br />

ASSETS<br />

Trading Deriv<strong>at</strong>ives 32,712<br />

Hedging Deriv<strong>at</strong>ives 2,988<br />

• Deriv<strong>at</strong>ives<br />

For share, currency or commodity<br />

deriv<strong>at</strong>ives:<br />

• Monte Carlo simul<strong>at</strong>ions.<br />

• Black-Scholes models on risk premiums.<br />

Local vol<strong>at</strong>ility model: assumes a constant diffusion <strong>of</strong> the underlying asset with the<br />

vol<strong>at</strong>ility depending on the value <strong>of</strong> the underlying asset and the term.<br />

For interest r<strong>at</strong>e<br />

deriv<strong>at</strong>ives:<br />

• The term structure <strong>of</strong><br />

interest r<strong>at</strong>es.<br />

LIABILITIES<br />

For interest r<strong>at</strong>e deriv<strong>at</strong>ives:<br />

This model assumes th<strong>at</strong>:<br />

• Vol<strong>at</strong>ility<br />

underlying asset.<br />

<strong>of</strong><br />

• Black-Derman-Toy Model,<br />

Libor Market Model and<br />

SABR.<br />

For credit deriv<strong>at</strong>ives:<br />

• Diffusion model<br />

• Short-term interest r<strong>at</strong>es follow a lognormal process.<br />

• The forward r<strong>at</strong>es in the term structure <strong>of</strong> the interest r<strong>at</strong>e curve are perfectly<br />

correl<strong>at</strong>ed.<br />

These models assume a constant diffusion <strong>of</strong> default intensity.<br />

For credit deriv<strong>at</strong>ives:<br />

• Credit default swap<br />

(CDS) pricing.<br />

Trading Deriv<strong>at</strong>ives <strong>31</strong>,370<br />

Hedging Deriv<strong>at</strong>ives 1,391<br />

51

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