[31] Derivative financial instruments

The fair value of financial instruments is generally determined using stock exchange prices. If stock exchange prices are not available, the fair value is determined using measurement methods customary in the market, based on market parameters specific to the instrument.

Fair value is calculated using the discounted cash flow method, taking into account individual credit standing and other market circumstances in the form of credit and liquidity spreads generally applied in the market when determining present value.

The fair value of derivative financial instruments is determined as follows: Options are valued by external partners using Black-Scholes pricing models. Futures are measured with recourse to the stock exchange price in the relevant market. All other derivative financial instruments are measured by discounting expected future cash flows using the net present value method. As far as possible, the entry parameters used in these models are relevant observable market prices and interest rates on the balance sheet date, obtained from recognised external sources.

These calculations are based on the following interest curves:

Interest curves

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

EUR

 

USD

 

GBP

 

JPY

 

PLN

 

CZK

 

SKK

Interest for six months

 

4.58 %

 

4.61 %

 

5.83 %

 

0.92 %

 

5.87 %

 

4.00 %

 

4.21 %

Interest for one year

 

4.64 %

 

4.26 %

 

5.62 %

 

1.03 %

 

6.07 %

 

4.05 %

 

4.29 %

Interest for five years

 

4.52 %

 

4.35 %

 

5.18 %

 

1.21 %

 

6.01 %

 

4.34 %

 

4.50 %

Interest for ten years

 

4.69 %

 

4.83 %

 

5.11 %

 

1.68 %

 

5.80 %

 

4.55 %

 

4.66 %

Derivative financial instruments are generally recognised on the trading day.

For loans and receivables which are measured at amortised cost, there are no liquid markets. For current loans and receivables, it is assumed that the fair value corresponds to the carrying amount. For all other loans and receivables, the fair value is determined by discounting future expected cash flows. The interest rates applied to the loans are the same as those that would apply to new loans secured with the same risk structure, original currency and maturity.

Net gains or net losses from financial instruments result from changes in fair value, impairment and reversal of such, derecognition and foreign currency. In interest income and interest charges, gains and losses from fair value hedge accounting are offset against each other, in order to give a fair presentation of the economic effect of the underlying hedging relationship.

In the 2007 financial year, net gains or net losses arose on financial instruments as follows:

in € million

 

2007

 

2006

From freestanding derivatives

 

–29

 

27

From held-to-maturity investments

 

3

 

1

From loans and receivables

 

17

 

14

From available-for-sale financial assets

 

–1

 

1

of which: transfers to profit or loss

 

 

–2

of which: transfers to cumulative changes in equity

 

–1

 

3

From financial liabilities measured at amortised cost

 

56

 

–4

Continuing operations

 

45

 

40

The net gains and losses include valuation gains and losses but exclude interest and dividends.

Freestanding derivatives comprise all those derivatives which are not designated as hedging instruments. They include those derivatives in economic hedging relationships not designated as hedges in respect of which gains and losses arising from the underlying transaction and the hedged item are recognised at the same time in the income statement.

The financial result includes fees and other costs of capital of EUR 13m (2006: EUR 22m) relating to financial instruments not at fair value through profit or loss.

In the 2007 and 2006 financial years, no interest income has been accrued which relates to impaired financial assets, especially receivables.

Impairment loss on financial assets:

2007, in € million

 

Carrying
amount before
impairment

 

Cumulative
impairment loss

 

Carrying
amount after
impairment

 

Of which
impairment
loss for 2007
financial year

Investments and securities

 

127

 

 

127

 

Receivables from financial services

 

860

 

 

860

 

Trade receivables

 

1,748

 

138

 

1,610

 

17

Derivatives

 

135

 

 

135

 

Other financial receivables

 

693

 

1

 

692

 

Cash and cash equivalents

 

858

 

 

858

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2006, in € million

 

Carrying
amount before
impairment

 

Cumulative
impairment loss

 

Carrying
amount after
impairment

 

Of which
impairment
loss for 2006
financial year

Investments and securities

 

72

 

 

72

 

Receivables from financial services

 

930

 

 

930

 

Trade receivables

 

1,718

 

144

 

1,574

 

22

Derivatives

 

135

 

 

135

 

Other receivables

 

677

 

1

 

676

 

1

Cash and cash equivalents

 

621

 

 

621

 

The interest income and interest expense from financial instruments not measured at fair value through profit or loss were as follows:

Interest income/expense from financial instruments not measured at fair value

in € million

 

2007

 

2006

Interest income

 

140

 

117

Interest expense

 

532

 

346

Continuing operations

 

–392

 

–229

Not included here are the interest income and expense from derivatives and the interest income and expense from assets and liabilities which are outside the scope of IFRS 7.



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The following information is part of the consolidated financial statements as of 31 December 2007, which were audited and issued with an unqualified certificate by KPMG Deutsche Treuhand AG, Wirtschaftprüfungsgesellschaft.

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