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Interest Rate Risk Captive Simplification

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Calculate the Interest Rate Risk Capital instantly.

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Interest Rate Risk Capital

€4 030 650

Up to 1 Year Simplified Duration

0.50

1 to 3 Years Simplified Duration

2.00

3 to 5 Years Simplified Duration

4.00

5 to 10 Years Simplified Duration

7.00

10 Years and Over Simplified Duration

12.00

Up to 1 Year Upward Stress

70.0%

Up to 1 Year Downward Stress

50.0%

1 to 3 Years Upward Stress

65.0%

1 to 3 Years Downward Stress

45.0%

3 to 5 Years Upward Stress

55.0%

3 to 5 Years Downward Stress

35.0%

5 to 10 Years Upward Stress

45.0%

5 to 10 Years Downward Stress

25.0%

10 Years and Over Upward Stress

35.0%

10 Years and Over Downward Stress

15.0%

Liability Block 1 Upward Stress

35.0%

Liability Block 1 Downward Stress

15.0%

Liability Block 2 Upward Stress

45.0%

Liability Block 2 Downward Stress

25.0%

Liability Block 3 Upward Stress

55.0%

Liability Block 3 Downward Stress

35.0%

1Step 1

Up to 1 Year Simplified Duration

Up to 1 Year Simplified Duration=0.5\textit{Up to 1 Year Simplified Duration} = 0.5
2Step 2

Up to 1 Year Upward Stress

Up to 1 Year Upward Stress=70\textit{Up to 1 Year Upward Stress} = 70
3Step 3

Up to 1 Year Downward Stress

Up to 1 Year Downward Stress=50\textit{Up to 1 Year Downward Stress} = 50
4Step 4

article_103_asset_bucket_1_up_leg

article_103_asset_bucket_1_up_leg=Up to 1 Year Assets Less Non-TP Liabilities×Up to 1 Year Simplified Duration×Up to 1 Year Risk-Free Rate×Up to 1 Year Upward Stress\textit{article\_103\_asset\_bucket\_1\_up\_leg} = \textit{Up to 1 Year Assets Less Non-TP Liabilities} \times \textit{Up to 1 Year Simplified Duration} \times \textit{Up to 1 Year Risk-Free Rate} \times \textit{Up to 1 Year Upward Stress}
5Step 5

article_103_asset_bucket_1_down_leg

article_103_asset_bucket_1_down_leg=Up to 1 Year Assets Less Non-TP Liabilities×Up to 1 Year Simplified Duration×Up to 1 Year Risk-Free Rate×Up to 1 Year Downward Stress\textit{article\_103\_asset\_bucket\_1\_down\_leg} = \textit{Up to 1 Year Assets Less Non-TP Liabilities} \times \textit{Up to 1 Year Simplified Duration} \times \textit{Up to 1 Year Risk-Free Rate} \times \textit{Up to 1 Year Downward Stress}
6Step 6

1 to 3 Years Simplified Duration

1 to 3 Years Simplified Duration=2\textit{1 to 3 Years Simplified Duration} = 2
7Step 7

1 to 3 Years Upward Stress

1 to 3 Years Upward Stress=65\textit{1 to 3 Years Upward Stress} = 65
8Step 8

1 to 3 Years Downward Stress

1 to 3 Years Downward Stress=45\textit{1 to 3 Years Downward Stress} = 45
9Step 9

article_103_asset_bucket_2_up_leg

article_103_asset_bucket_2_up_leg=1 to 3 Years Assets Less Non-TP Liabilities×1 to 3 Years Simplified Duration×1 to 3 Years Risk-Free Rate×1 to 3 Years Upward Stress\textit{article\_103\_asset\_bucket\_2\_up\_leg} = \textit{1 to 3 Years Assets Less Non-TP Liabilities} \times \textit{1 to 3 Years Simplified Duration} \times \textit{1 to 3 Years Risk-Free Rate} \times \textit{1 to 3 Years Upward Stress}
10Step 10

article_103_asset_bucket_2_down_leg

article_103_asset_bucket_2_down_leg=1 to 3 Years Assets Less Non-TP Liabilities×1 to 3 Years Simplified Duration×1 to 3 Years Risk-Free Rate×1 to 3 Years Downward Stress\textit{article\_103\_asset\_bucket\_2\_down\_leg} = \textit{1 to 3 Years Assets Less Non-TP Liabilities} \times \textit{1 to 3 Years Simplified Duration} \times \textit{1 to 3 Years Risk-Free Rate} \times \textit{1 to 3 Years Downward Stress}
11Step 11

3 to 5 Years Simplified Duration

3 to 5 Years Simplified Duration=4\textit{3 to 5 Years Simplified Duration} = 4
12Step 12

3 to 5 Years Upward Stress

3 to 5 Years Upward Stress=55\textit{3 to 5 Years Upward Stress} = 55
13Step 13

3 to 5 Years Downward Stress

3 to 5 Years Downward Stress=35\textit{3 to 5 Years Downward Stress} = 35
14Step 14

article_103_asset_bucket_3_up_leg

article_103_asset_bucket_3_up_leg=3 to 5 Years Assets Less Non-TP Liabilities×3 to 5 Years Simplified Duration×3 to 5 Years Risk-Free Rate×3 to 5 Years Upward Stress\textit{article\_103\_asset\_bucket\_3\_up\_leg} = \textit{3 to 5 Years Assets Less Non-TP Liabilities} \times \textit{3 to 5 Years Simplified Duration} \times \textit{3 to 5 Years Risk-Free Rate} \times \textit{3 to 5 Years Upward Stress}
15Step 15

article_103_asset_bucket_3_down_leg

article_103_asset_bucket_3_down_leg=3 to 5 Years Assets Less Non-TP Liabilities×3 to 5 Years Simplified Duration×3 to 5 Years Risk-Free Rate×3 to 5 Years Downward Stress\textit{article\_103\_asset\_bucket\_3\_down\_leg} = \textit{3 to 5 Years Assets Less Non-TP Liabilities} \times \textit{3 to 5 Years Simplified Duration} \times \textit{3 to 5 Years Risk-Free Rate} \times \textit{3 to 5 Years Downward Stress}
16Step 16

5 to 10 Years Simplified Duration

5 to 10 Years Simplified Duration=7\textit{5 to 10 Years Simplified Duration} = 7
17Step 17

5 to 10 Years Upward Stress

5 to 10 Years Upward Stress=45\textit{5 to 10 Years Upward Stress} = 45
18Step 18

5 to 10 Years Downward Stress

5 to 10 Years Downward Stress=25\textit{5 to 10 Years Downward Stress} = 25
19Step 19

article_103_asset_bucket_4_up_leg

article_103_asset_bucket_4_up_leg=5 to 10 Years Assets Less Non-TP Liabilities×5 to 10 Years Simplified Duration×5 to 10 Years Risk-Free Rate×5 to 10 Years Upward Stress\textit{article\_103\_asset\_bucket\_4\_up\_leg} = \textit{5 to 10 Years Assets Less Non-TP Liabilities} \times \textit{5 to 10 Years Simplified Duration} \times \textit{5 to 10 Years Risk-Free Rate} \times \textit{5 to 10 Years Upward Stress}
20Step 20

article_103_asset_bucket_4_down_leg

article_103_asset_bucket_4_down_leg=5 to 10 Years Assets Less Non-TP Liabilities×5 to 10 Years Simplified Duration×5 to 10 Years Risk-Free Rate×5 to 10 Years Downward Stress\textit{article\_103\_asset\_bucket\_4\_down\_leg} = \textit{5 to 10 Years Assets Less Non-TP Liabilities} \times \textit{5 to 10 Years Simplified Duration} \times \textit{5 to 10 Years Risk-Free Rate} \times \textit{5 to 10 Years Downward Stress}
21Step 21

10 Years and Over Simplified Duration

10 Years and Over Simplified Duration=12\textit{10 Years and Over Simplified Duration} = 12
22Step 22

10 Years and Over Upward Stress

10 Years and Over Upward Stress=35\textit{10 Years and Over Upward Stress} = 35
23Step 23

10 Years and Over Downward Stress

10 Years and Over Downward Stress=15\textit{10 Years and Over Downward Stress} = 15
24Step 24

article_103_asset_bucket_5_up_leg

article_103_asset_bucket_5_up_leg=10 Years and Over Assets Less Non-TP Liabilities×10 Years and Over Simplified Duration×10 Years and Over Risk-Free Rate×10 Years and Over Upward Stress\textit{article\_103\_asset\_bucket\_5\_up\_leg} = \textit{10 Years and Over Assets Less Non-TP Liabilities} \times \textit{10 Years and Over Simplified Duration} \times \textit{10 Years and Over Risk-Free Rate} \times \textit{10 Years and Over Upward Stress}
25Step 25

article_103_asset_bucket_5_down_leg

article_103_asset_bucket_5_down_leg=10 Years and Over Assets Less Non-TP Liabilities×10 Years and Over Simplified Duration×10 Years and Over Risk-Free Rate×10 Years and Over Downward Stress\textit{article\_103\_asset\_bucket\_5\_down\_leg} = \textit{10 Years and Over Assets Less Non-TP Liabilities} \times \textit{10 Years and Over Simplified Duration} \times \textit{10 Years and Over Risk-Free Rate} \times \textit{10 Years and Over Downward Stress}
26Step 26

Liability Block 1 Upward Stress

Liability Block 1 Upward Stress=35\textit{Liability Block 1 Upward Stress} = 35
27Step 27

Liability Block 1 Downward Stress

Liability Block 1 Downward Stress=15\textit{Liability Block 1 Downward Stress} = 15
28Step 28

article_103_liability_block_1_up_leg

article_103_liability_block_1_up_leg=Liability Block 1 Best Estimate×Liability Block 1 Modified Duration×Liability Block 1 Risk-Free Rate×Liability Block 1 Upward Stress\textit{article\_103\_liability\_block\_1\_up\_leg} = \textit{Liability Block 1 Best Estimate} \times \textit{Liability Block 1 Modified Duration} \times \textit{Liability Block 1 Risk-Free Rate} \times \textit{Liability Block 1 Upward Stress}
29Step 29

article_103_liability_block_1_down_leg

article_103_liability_block_1_down_leg=Liability Block 1 Best Estimate×Liability Block 1 Modified Duration×Liability Block 1 Risk-Free Rate×Liability Block 1 Downward Stress\textit{article\_103\_liability\_block\_1\_down\_leg} = \textit{Liability Block 1 Best Estimate} \times \textit{Liability Block 1 Modified Duration} \times \textit{Liability Block 1 Risk-Free Rate} \times \textit{Liability Block 1 Downward Stress}
30Step 30

Liability Block 2 Upward Stress

Liability Block 2 Upward Stress=45\textit{Liability Block 2 Upward Stress} = 45
31Step 31

Liability Block 2 Downward Stress

Liability Block 2 Downward Stress=25\textit{Liability Block 2 Downward Stress} = 25
32Step 32

article_103_liability_block_2_up_leg

article_103_liability_block_2_up_leg=Liability Block 2 Best Estimate×Liability Block 2 Modified Duration×Liability Block 2 Risk-Free Rate×Liability Block 2 Upward Stress\textit{article\_103\_liability\_block\_2\_up\_leg} = \textit{Liability Block 2 Best Estimate} \times \textit{Liability Block 2 Modified Duration} \times \textit{Liability Block 2 Risk-Free Rate} \times \textit{Liability Block 2 Upward Stress}
33Step 33

article_103_liability_block_2_down_leg

article_103_liability_block_2_down_leg=Liability Block 2 Best Estimate×Liability Block 2 Modified Duration×Liability Block 2 Risk-Free Rate×Liability Block 2 Downward Stress\textit{article\_103\_liability\_block\_2\_down\_leg} = \textit{Liability Block 2 Best Estimate} \times \textit{Liability Block 2 Modified Duration} \times \textit{Liability Block 2 Risk-Free Rate} \times \textit{Liability Block 2 Downward Stress}
34Step 34

Liability Block 3 Upward Stress

Liability Block 3 Upward Stress=55\textit{Liability Block 3 Upward Stress} = 55
35Step 35

Liability Block 3 Downward Stress

Liability Block 3 Downward Stress=35\textit{Liability Block 3 Downward Stress} = 35
36Step 36

article_103_liability_block_3_up_leg

article_103_liability_block_3_up_leg=Liability Block 3 Best Estimate×Liability Block 3 Modified Duration×Liability Block 3 Risk-Free Rate×Liability Block 3 Upward Stress\textit{article\_103\_liability\_block\_3\_up\_leg} = \textit{Liability Block 3 Best Estimate} \times \textit{Liability Block 3 Modified Duration} \times \textit{Liability Block 3 Risk-Free Rate} \times \textit{Liability Block 3 Upward Stress}
37Step 37

article_103_liability_block_3_down_leg

article_103_liability_block_3_down_leg=Liability Block 3 Best Estimate×Liability Block 3 Modified Duration×Liability Block 3 Risk-Free Rate×Liability Block 3 Downward Stress\textit{article\_103\_liability\_block\_3\_down\_leg} = \textit{Liability Block 3 Best Estimate} \times \textit{Liability Block 3 Modified Duration} \times \textit{Liability Block 3 Risk-Free Rate} \times \textit{Liability Block 3 Downward Stress}
38Step 38

Total Asset Upward Leg

Total Asset Upward Leg=article_103_asset_bucket_1_up_leg+article_103_asset_bucket_2_up_leg+article_103_asset_bucket_3_up_leg+article_103_asset_bucket_4_up_leg+article_103_asset_bucket_5_up_leg\textit{Total Asset Upward Leg} = \textit{article\_103\_asset\_bucket\_1\_up\_leg} + \textit{article\_103\_asset\_bucket\_2\_up\_leg} + \textit{article\_103\_asset\_bucket\_3\_up\_leg} + \textit{article\_103\_asset\_bucket\_4\_up\_leg} + \textit{article\_103\_asset\_bucket\_5\_up\_leg}
39Step 39

Total Asset Downward Leg

Total Asset Downward Leg=article_103_asset_bucket_1_down_leg+article_103_asset_bucket_2_down_leg+article_103_asset_bucket_3_down_leg+article_103_asset_bucket_4_down_leg+article_103_asset_bucket_5_down_leg\textit{Total Asset Downward Leg} = \textit{article\_103\_asset\_bucket\_1\_down\_leg} + \textit{article\_103\_asset\_bucket\_2\_down\_leg} + \textit{article\_103\_asset\_bucket\_3\_down\_leg} + \textit{article\_103\_asset\_bucket\_4\_down\_leg} + \textit{article\_103\_asset\_bucket\_5\_down\_leg}
40Step 40

Total Liability Upward Leg

Total Liability Upward Leg=article_103_liability_block_1_up_leg+article_103_liability_block_2_up_leg+article_103_liability_block_3_up_leg\textit{Total Liability Upward Leg} = \textit{article\_103\_liability\_block\_1\_up\_leg} + \textit{article\_103\_liability\_block\_2\_up\_leg} + \textit{article\_103\_liability\_block\_3\_up\_leg}
41Step 41

Total Liability Downward Leg

Total Liability Downward Leg=article_103_liability_block_1_down_leg+article_103_liability_block_2_down_leg+article_103_liability_block_3_down_leg\textit{Total Liability Downward Leg} = \textit{article\_103\_liability\_block\_1\_down\_leg} + \textit{article\_103\_liability\_block\_2\_down\_leg} + \textit{article\_103\_liability\_block\_3\_down\_leg}
42Step 42

IR Up

IR Up=Total Asset Upward LegTotal Liability Upward Leg\textit{IR Up} = \textit{Total Asset Upward Leg} - \textit{Total Liability Upward Leg}
43Step 43

IR Down

IR Down=Total Asset Downward LegTotal Liability Downward Leg\textit{IR Down} = \textit{Total Asset Downward Leg} - \textit{Total Liability Downward Leg}
44Step 44

Interest Rate Risk Capital

Interest Rate Risk Capital=max(0,IR Up,IR Down)\textit{Interest Rate Risk Capital} = \max(0, \textit{IR Up}, \textit{IR Down})

Understand the Interest Rate Risk Captive Simplification

Overview

This calculator implements the simplified capital requirement for Interest Rate Risk for captive insurance undertakings within the Solvency II standard formula.[1] This simplified approach is intended for captive undertakings where the standard-formula calculation is disproportionately complex relative to the risk. The requirement is defined as the economic capital necessary to provide a 1-in-200 year level of protection using duration-based proxy factors. [2]

Input Terms

  • Interest-Rate-Sensitive Assets (IR_assets): The total market value of assets exposed to interest-rate fluctuations.[1]
  • Interest-Rate-Sensitive Liabilities (IR_liabilities): The total technical provisions exposed to interest-rate risk.
  • Duration Proxy (dur_i): The regulatory duration proxy used to determine the sensitivity of the asset/liability values to a 1% interest-rate shock.

Technical Rationale

The Interest Rate Risk Captive Simplification is calibrated to a 99.5% confidence level over a one-year horizon. It captures the sensitivity of the undertaking’s basic own funds to an adverse change in the level or volatility of risk-free interest rates. Unlike a full article-by-article revaluation, which requires a complete revaluation of the balance sheet under up/down shocks, this simplification uses a direct duration-based proxy for captive insurers.[1]

This method is governed by the principle of proportionality (Article 109), ensuring that captive undertakings can calculate their solvency capital requirements without the operational burden of a full-scale valuation engine. The result represents the simplified interest-rate risk component before diversification in Market Risk.

Important Notes

  • Duration Calibration: The 1-in-200 year severity is embedded in the duration-based proxy factor, which assumes an instantaneous shock to the entire interest-rate term structure.
  • Look-Through Approach: Per Article 84 of the Delegated Regulation, insurers must "look through" investment funds to the underlying rate-sensitive assets so the simplified bucketed positions capture the real duration exposure.[3]
  • Gross vs. Net SCR: This simplification estimates the standalone Interest Rate Risk SCR. Solvency II risk is only finalized as a net impact on Basic Own Funds after diversification in Market Risk, then within BSCR, and after the top-level LAC TP and LACDT adjustments.
  • Regulatory deviation: Material deviation from the standard-formula assumptions or from the conditions supporting this simplification may support a capital add-on or a move toward a fuller or internal-model approach where justified.[4]
  • Reporting: The simplified result is intended to support the corresponding standard-formula component feeding the S.25.01 standard-formula reporting view, not to replace the connected article-chain result where the simplification is not justified.[5]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 103 (Interest-rate risk simplification) - EUR-Lex
  2. Directive 2009/138/EC - Art. 101 (99.5% VaR / 1-in-200 calibration) - EIOPA
  3. Delegated Regulation (EU) 2015/35 - Art. 84 (Look-through approach) - EIOPA
  4. Directive 2009/138/EC - Art. 37 (Capital add-on) - EIOPA
  5. Commission Implementing Regulation (EU) 2015/2450 - QRT S.25.01 - EUR-Lex

Default values are illustrative sample inputs for navigation, training, and QA. Replace them with controlled data before using the result in capital analysis, governance, or reporting decisions.