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Notes to the accounts
For the year ended 31st December 2008
290 Barclays PLC Annual Report 2008 |Find out more at www.barclays.com/annualreport08
50 Fair value of financial instruments (continued)
Collateralised debt obligations
The valuation of collateralised debt obligations (CDOs) notes is first based on an assessment of the probability of an event of default occurring due to a
credit deterioration. This is determined by reference to the probability of event of default occurring and the probability of exercise of contractual rights
related to event of default. The notes are then valued by determining appropriate valuation multiples to be applied to the contractual cash flows. These are
based on inputs including the prospective cash flow performance of the underlying securities, the structural features of the transaction and the net asset
value of the underlying portfolio.
Private equity
The fair value of private equity is determined using appropriate valuation methodologies which, dependent on the nature of the investment, may include
discounted cash flow analysis, enterprise value comparisons with similar companies, price:earnings comparisons and turnover multiples. For each
investment the relevant methodology is applied consistently over time.
OTC Derivatives
Derivative contracts can be exchange traded or over the counter (OTC). OTC derivative contracts include forward, swap and option contracts related to
interest rates, bonds, foreign currencies, credit standing of reference entities, equity prices, fund levels, commodity prices or indices on these assets.
The fair value of OTC derivative contracts are modelled using a series of techniques, including closed form analytical formulae (such as the Black-Scholes
option pricing model) and simulation based models. The choice of model is dependant on factors such as; the complexity of the product, inherent risks
and hedging strategy: statistical behaviour of the underlying, and ability of the model to price consistently with observed market transactions. For many
pricing models there is no material subjectivity because the methodologies employed do not necessitate significant judgement and the pricing inputs
are observed from actively quoted markets, as is the case for generic interest rate swaps and option markets. In the case of more established derivative
products, the pricing models used are widely accepted and used by the other market participants. Significant inputs used in these models may include
yield curves, credit spreads, default rates, recovery rates, dividend rates, volatility of underlying interest rates, equity prices or foreign exchange rates and,
in some cases, correlation between these inputs. These inputs are determined with reference to quoted prices, recently executed trades, independent
market quotes and consensus data.
New, long dated or complex derivative products may require a greater degree of judgement in the implementation of appropriate valuation techniques,
due to the complexity of the valuation assumptions and the reduced observability of inputs. The valuation of more complex products may use more
generic derivatives as a component to calculating the overall value.
Derivatives where valuation involves a significant degree of judgement include:
Fund derivatives
Fund derivatives are derivatives whose underlyings include mutual funds, hedge funds, indices and multi-asset portfolios. They are valued using
underlying fund prices, yield curves and available market information on the level of the hedging risk. Some fund derivatives are valued using
unobservable information, generally where the level of the hedging risk is not observable in the market. These are valued taking account of risk of the
underlying fund or collection of funds, diversification of the fund by asset, concentration by geographic sector, strategy of the fund, size of the transaction
and concentration of specific fund managers.
Commodity derivatives
Commodity derivatives are valued using models where the significant inputs may include interest rate yield curves, commodity price curves, volatility
of the underlying commodities and, in some cases, correlation between these inputs, which are generally observable. This approach is applied to base
metal, precious metal, energy, power, gas, emissions, soft commodities and freight positions. Due to the significant time span in the various market
closes, curves are constructed using differentials to a benchmark curve to ensure that all curves are valued using the dominant market base price.
Structured credit derivatives
Collateralised synthetic obligations (CSOs) are structured credit derivatives which reference the loss profile of a portfolio of loans, debts or synthetic
underlyings. The reference asset can be a corporate credit or an asset backed credit. For CSOs that reference corporate credits an analytical model is used.
For CSOs on asset backed underlyings, due to the path dependent nature of a CSO on an amortising portfolio a Monte Carlo simulation is used rather
than analytic approximation. The expected loss probability for each reference credit in the portfolio is derived from the single name credit default swap
spread curve and in addition, for ABS references, a prepayment rate assumption. A simulation is then used to compute survival time which allows us to
calculate the marginal loss over each payment period by reference to estimated recovery rates. Significant inputs include prepayment rates, cumulative
default rates, and recovery rates.
Sensitivity analysis of valuations using unobservable inputs
As part of our risk management processes, stress tests are applied on the significant unobservable parameters to generate a range of potentially possible
alternative valuations. The financial instruments that most impact this sensitivity analysis are those with the more illiquid and/or structured portfolios.
The stresses are applied independently and do not take account of any cross correlation between separate asset classes that would reduce the overall
effect on the valuations.
At 31st December 2008
Significant Potential effect recorded Potential effect recorded
unobservable in profit or loss in equity
parametersaFavourable (Unfavourable) Favourable (Unfavourable)
£m £m £m £m
Asset backed securities and loans and derivatives with asset backed underlyings iii, iv, v, vi 1,470 (1,896) 46 (54)
Private equitybiii, iv 209 (208) 64 (142)
Derivative assets and liabilities and financial liabilities designated at fair value:
– Derivative exposure to Monoline insurers iii, iv, v, vi 21 (329) ––
– Funds derivatives and structured notes iii 226 (123) ––
– Other structured derivatives and notes i, ii, iii 304 (196) ––
Other i, ii, iii, iv, v, vi 55 (43) ––
Total 2,285 (2,795) 110 (196)
Notes
a(i)-(vi) refer to valuation inputs listed on page 289.
bAvailable for sale assets (Private Equity) and assets designated at fair value (Principal Investments).