13 - Sensitivity analysis


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(a) Economic assumptions

The following tables show the sensitivity of the embedded value as at 30 June 2008 and the new business contribution before the effect of required capital for the six months to 30 June 2008 to:

  • one percentage point increase and decrease in the discount rates;
  • one percentage point increase and decrease in interest rates, including all consequential changes (including assumed investment returns for all asset classes, market values of fixed interest assets, risk discount rates);
  • one percentage point increase and decrease in the assumed investment returns for equity and property investments, excluding any consequential changes to the risk discount rate;
  • 10% rise and fall in market value of equity and property assets (not applicable for new business contribution); and
  • decrease in the level of required capital to 100% EU minimum (or equivalent) (not applicable for new business contribution).

In each sensitivity calculation, all other assumptions remain unchanged except where they are directly affected by the revised economic conditions. For example, future bonus rates are automatically adjusted to reflect sensitivity changes to future investment returns. Some of the sensitivity scenarios may have consequential effects on valuation bases, where the basis for certain blocks of business is actively updated to reflect current economic circumstances. Consequential valuation impacts on the sensitivities are allowed for where an active valuation basis is used. Where businesses have a target asset mix, the portfolio is re-balanced after a significant market movement otherwise no re-balancing is assumed.

Embedded value (net of tax)
30 June 2008
As reported on page 40
£m
1% increase in discount rates
£m
1% decrease in discount rates
£m
1% increase in interest rates
£m
1% decrease in interest rates
£m
United Kingdom 6,547 (430) 495 (340) 405
France 2,602 (180) 210 (175) 155
Ireland 1,036 (40) 45 (45) 55
Italy 1,171 (35) 40 20 (45)
Netherlands (including Belgium and Germany) 3,759 (245) 285 (130) (10)
Poland 1,014 (55) 65 (20) 20
Spain 1,182 (55) 65 (30) 30
Other Europe 185 (10) 5 5
Europe 10,949 (620) 715 (380) 210
North America 1,714 (70) 75 (145) 135
Asia Pacific 657 (25) 25 (5) (5)
Total 19,867 (1,145) 1,310 (870) 745
Embedded value (net of tax)
30 June 2008
As reported on page 40
£m
1% increase in equity/ property returns
£m
1% decrease in equity/ property returns
£m
10% rise in equity/ property market values
£m
10% fall in equity/ property market values
£m
EU minimum capital (or equivalent)
£m
United Kingdom 6,547 215 (210) 405 (420)
France 2,602 100 (100) 135 (140) 60
Ireland 1,036 15 (20) 25 (30) 15
Italy 1,171 10 (10) 5 (15) 10
Netherlands (including Belgium and Germany) 3,759 310 (320) 425 (425) 160
Poland 1,014 15 (15) 20 (20) 15
Spain 1,182 10 (10) 20 (15) 10
Other Europe 185
Europe 10,949 460 (475) 630 (645) 270
North America 1,714 10 (10) 95
Asia Pacific 657 10 (10) 15 (15) 15
Total 19,867 695 (705) 1,050 (1,080) 380

In general, the magnitude of the sensitivities will reflect the size of the embedded values, though this will vary as the sensitivities have different impacts on the different components of the embedded value. In addition, other factors can have a material impact, such as the nature of the options and guarantees, as well as the types of investments held. The interest rate sensitivity will vary significantly by territory, depending on the type of business written: for example, where non-profit business is well matched by backing assets, the favourable impact of reducing the risk discount rate is the dominant factor.

Sensitivities will also vary according to the current economic assumptions, mainly due to the impact of changes to both the intrinsic cost and time value of options and guarantees. Options and guarantees are the main reason for the asymmetry of the sensitivities where the guarantee impacts to different extents under the different scenarios. This can be seen in the sensitivity of a 1% movement in the interest rate for the Netherlands, where there is a significant amount of business with investment return guarantees.

Sensitivities to a 1% movement in the equity/property return will only impact the value of the in-force covered business, whereas a 10% movement in equity/property values may impact both the net worth and the value of in-force, depending on the allocation of assets.

New business contribution
before required capital (gross of tax)
6 months 2008
As reported on page 34
£m
1% increase in discount rates
£m
1% decrease in discount rates
£m
1% increase in interest rates
£m
1% decrease in interest rates
£m
United Kingdom 183 (25) 27 (11) 14
France 84 (8) 9 (2) 4
Ireland 5 (2) 2 (1) 1
Italy 37 (2) 2 (1)
Netherlands (including Belgium and Germany) 60 (15) 19 3 (12)
Poland 21 (2) 2
Spain 133 (8) 10 (2) 2
Other Europe 7 (1) 1 (1) 2
Europe 347 (38) 45 (3) (4)
North America 92 (5) 5 (7) 2
Asia Pacific 34 (3) 3 2 (3)
Total 656 (71) 80 (19) 9
New business contribution before required capital (gross of tax)
6 months 2008
As reported on page 34
£m
1% increase in equity/ property returns
£m
1% decrease in equity/ property returns
£m
United Kingdom 183 11 (11)
France 84 4 (2)
Ireland 5 1 (1)
Italy 37
Netherlands (including Belgium and Germany) 60 32 (34)
Poland 21 1 (1)
Spain 133 2 (2)
Other Europe 7 1
Europe 347 41 (40)
North America 92 2 (2)
Asia Pacific 34 1 (1)
Total 656 55 (54)

(b) Non-economic assumptions

The tables below show the sensitivity of the embedded value as at 30 June 2008 and the new business contribution before the effect of required capital for the six months to 30 June 2008 to the following changes in non-economic assumptions:

  • 10% decrease in maintenance expenses (a 10% sensitivity on a base expense assumption of £10 p.a. would represent an expense assumption of £9 p.a.). Where there is a “look through” into service company expenses the fee charged by the service company is unchanged while the underlying expense decreases;
  • 10% decrease in lapse rates (a 10% sensitivity on a base assumption of 5% p.a. would represent a lapse rate of 4.5% p.a.);
  • 5% decrease in both mortality and morbidity rates disclosed separately for life assurance and annuity business.

No future management actions are modelled in reaction to the changing non-economic assumptions. In each sensitivity calculation all other assumptions remain unchanged. No changes to valuation bases have been included.

Embedded value (net of tax)
30 June 2008
As reported page 40
£m
10% decrease in maintenance expenses
£m
10% decrease in lapse rates
£m
5% decrease in mortality/ morbidity rates – life assurance
£m
5% decrease in mortality/ morbidity rates – annuity business
£m
United Kingdom 6,547 165 100 50 (130)
France 2,602 40 45 25 (5)
Ireland 1,036 15 20 5 (5)
Italy 1,171 10 10 5
Netherlands (including Belgium and Germany) 3,759 110 20 25 (50)
Poland 1,014 25 50 15
Spain 1,182 15 55 20 (5)
Other Europe 185 5 5
Europe 10,949 220 205 95 (65)
North America 1,714 30 10 15
Asia Pacific 657 15 15 10
Total 19,867 430 330 170 (195)
New business contribution before required capital (gross of tax)
6 months 2008
As reported on page 34
£m
10% decrease in maintenance expenses
£m
10% decrease in lapse rates
£m
5% decrease in mortality/ morbidity rates – life assurance
£m
5% decrease in mortality/ morbidity rates – annuity business
£m
United Kingdom 183 11 9 10 (6)
France 84 2 4 2
Ireland 5 2 2
Italy 37 1 1
Netherlands (including Belgium and Germany) 60 5 3 2
Poland 21 1 2 1
Spain 133 4 11 2
Other Europe 7 2 3 2 (1)
Europe 347 17 26 9 (1)
North America 92 2 1 2
Asia Pacific 34 3 3 2
Total 656 33 39 23 (7)

The demographic sensitivities shown above represent a standard change to the assumptions for all products. Different products will be more or less sensitive to the change and impacts may partially offset.

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