Solvency Framework
CA | HK | CN | |
Framework |
Minimum Continuing Capital and Surplus Requirements (MCCSR)
Life Insurance Capital Adequacy Test (LICAT) |
Insurance Ordinance (HKIO)
Risk-Based Capital Framework (HKRBC) |
Solvency I
China Risk Oriented Solvency System (C-ROSS)
China Risk Oriented Solvency System (C-ROSS) Phase II |
Accounting Basis |
Canadian GAAP (IFRS 4) IFRS 17 {CA-LICAT-1.3} |
HKFRS 4 HKFRS 17 |
CGAAP (IFRS 4) IFRS 17 |
Solvency Ratio
CA | CN | |
Solvency Ratio |
LICAT Ratios
{CA-LICAT-1.1.1} |
Solvency Ratio
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Minimum Target Ratio |
{CA-A-4-2} |
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Supervisory Target Ratio |
{CA-A-4-2} |
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Minimum Available Capital |
$5 million {CA-LICAT-1.5} |
– |
Accounting Basis |
Canadian GAAP |
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Available Capital | Available Capital = Tier 1 Capital + Tier 2 Capital | Available Capital = Tier 1 Capital + Tier 2 Capital |
Surplus Allowance |
Surplus Allowance = the net risk adjustment
{CA-LICAT-1.1.3} |
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Eligible Deposits |
Eligible Deposits =
{CA-LICAT-1.1.4} |
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Required Capital |
Base Solvency Buffer:
\(\gamma \times (\sum_{}^{}{K_\text{Non-Par}}+\sum_{i}^{}{(K_\text{Par i}-CP_i)}-\sum_{j}^{}{CA_j}-CG+SFG+OR)\) where:
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Aggregate Capital Requirement |
The aggregate capital requirement within a geographic region comprises requirements for each of the following five risk components:
Aggregate requirements are reduced by:
{CA-LICAT-1.1.5} |
Liabilities
Required Capital for Insurance Risk
CA | CN | |
RC for Insurance Risk |
\(\text{RC}=\sqrt{\text{RC}_{\text{vol}}^{2}+\text{RC}_{\text{cat}}^{2}}+\text{RC}_{\text{level}}+\text{RC}_{\text{trend}}\) Not applicable to products where insurer bears no risk and has no liability for claims:
{CA-LICAT-6.0} |
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RC for Mortality Risk |
\(\text{RC}_\text{mortality}=\sqrt{\text{RC}_{\text{vol}}^{2}+\text{RC}_{\text{cat}}^{2}}+\text{RC}_{\text{level}}+\text{RC}_{\text{trend}}\) |
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{CA-LICAT-6.2.1} |
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RC for Volatility Risk | To be continued.. | |
RC for Catastrophe Risk | To be continued.. | |
RC for Level Risk | To be continued.. | |
RC for Trend Risk | To be continued.. | |
Projection of Insurance Liability Cash Flows |
calculated using Best Estimate Assumptions (BEA). |
Required Capital for Mortality Risk
CA | CN | |||||||||||||
RC for Mortality Risk \(\text{RC}_\text{mortality}\) |
\(\text{RC}_\text{mortality}=\sqrt{\text{RC}_{\text{vol}}^{2}+\text{RC}_{\text{cat}}^{2}}+\text{RC}_{\text{level}}+\text{RC}_{\text{trend}}\) {CA-LICAT-6.2} |
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Set Partitioning |
Requiring aggregation. All products with mortality risk are designated to be either life supported or death supported.
{CA-LICAT-6.2.1} |
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Discount Rate |
Either financial statement liability discount rates or prescribed discount rates. {CA-LICAT-6.2.1} |
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RC for Level Risk \(\text{RC}_\text{level}\) |
Life supported business: \(q’=(1+x)\times q\), where \(x=min(25\%,11\%+20\%\times r)\), \(r=\dfrac{\text{Volatility Component}}{\text{Net Expected Claims}_{(t+12, t+24)}}\) Death supported business: \(q’=(1-15\%)\times q\) for all time t {CA-LICAT-6.2.2} |
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RC for Trend Risk \(\text{RC}_\text{trend}\) |
Life supported business: \(q’=(1-75\%)\times q\) for time \((t, t+12\times 25)\), for 25 years Death supported business: \(q’=(1+75\%)\times q\) for all time t {CA-LICAT-6.2.3} |
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RC for Volatility Risk \(\text{RC}_\text{vol}\) |
Level: calculated by sets of like products, basic death vs. AD&D, individual vs. group Volatility Risk Component: \(\sqrt{\sum_{\text{Basic Death}}{\text{RC}^2}}+\sqrt{\sum_{\text{AD&D}}{\text{RC}^2}}\) where \(\text{RC}=2.7\times A\times (1-\dfrac{V}{F})\), where \(A=\sqrt{\sum{q(1-q)b^2}}\) Approximation of \(\boldsymbol{A}\) with known σ of the net death benefit amounts: \(A\approx \sqrt{\dfrac{C\times\sum{b^2}}{F}}\) Approximation of \(\boldsymbol{A}\) with unknown σ of the net death benefit amounts:
{CA-LICAT-6.2.4} |
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RC for Catastrophe Risk \(\text{RC}_\text{cat}\) |
For basic death products: \(\text{NOP}_\text{DEATHS}’=r\times\text{NOP}_\text{DEATHS})\) For AD&D products: \(\text{NOP}_\text{DEATHS}’=20\% \times r\times\text{NOP}_\text{DEATHS})\) where \(r\) is determined by geographic region: Shock Factors
{CA-LICAT-6.2.5} |
Required Capital for Longevity Risk
CA | CN | |||||||||||
RC for Longevity Risk \(\text{RC}_\text{longevity}\) |
\(\text{RC}_\text{longevity}=\text{RC}_\text{level}+\text{RC}_\text{trend}\) {CA-LICAT-6.3} |
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RC for Level Risk \(\text{RC}_\text{level}\) |
Shock factors differ across registered or non-registered annuities. Shock Factors
{CA-LICAT-6.3.1} |
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RC for Trend Risk \(\text{RC}_\text{trend}\) |
\(q’=(1+75\%)\times q\) for all time t {CA-LICAT-6.3.2} |
Required Capital for Morbidity Risk
CA | CN | |||||||||||||||||||||||||||||||||||||
RC for Morbidity Risk \(\text{RC}_\text{morbidity}\) |
\(\text{RC}_\text{morbidity}=\sqrt{\text{RC}_{\text{vol}}^{2}+\text{RC}_{\text{cat}}^{2}}+\text{RC}_{\text{level}}+\text{RC}_{\text{trend}}\) {CA-LICAT-6.4} |
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Set Partitioning |
Active versus disabled. {CA-LICAT-6.4.1} |
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Shocked Bases |
Depends on whether incidence and termination rate assumptions are used to determine liabilities.
{CA-LICAT-6.4} |
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RC for Level Risk \(\text{RC}_\text{level}\) |
Policies with active status: Percentage shocks are applied to morbidity incidence rate at each age. Shock Factors
Policies with disabled status: Percentage shocks are applied to morbidity total termination rate at each age. Shock Factors
{CA-LICAT-6.4.1} |
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RC for Trend Risk \(\text{RC}_\text{trend}\) |
Annual morbidity improvement rate assumption = 0%, i.e. 100 % decrease in Annual morbidity improvement rate assumption. {CA-LICAT-6.4.2} |
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RC for Volatility Risk \(\text{RC}_\text{vol}\) |
Shock Factors
{CA-LICAT-6.4.3} |
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RC for Catastrophe Risk \(\text{RC}_\text{cat}\) |
Shock Factors
{CA-LICAT-6.4.4} |
Required Capital for Lapse Risk
CA | CN | |
RC for Lapse Risk \(\text{RC}_\text{Lapse}\) |
\(\text{RC}_\text{Lapse}=\sqrt{\text{RC}_{\text{vol}}^{2}+\text{RC}_{\text{cat}}^{2}}+\text{RC}_{\text{level+trend}}\) Note: \(q_w’=min((1+r)\times q_w, 97.5\%)\) {CA-LICAT-6.5} |
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Set Partitioning |
{CA-LICAT-6.5.1} |
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RC for Level and Trend Risk \(\text{RC}_\text{level+trend}\) |
{CA-LICAT-6.5.2} |
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RC for Volatility Risk \(\text{RC}_\text{vol}\) |
{CA-LICAT-6.5.3} |
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RC for Catastrophe Risk \(\text{RC}_\text{cat}\) |
{CA-LICAT-6.4.4} |
Required Capital for Expense Risk
CA | CN | |
RC for Expense Risk \(\text{RC}_\text{Expense}\) |
– {CA-LICAT-6.6} |
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Scope |
{CA-LICAT-6.6} |
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RC for Level, Trend, Volatility Catastrophe Risk |
{CA-LICAT-6.6.1} |
Required Capital for Operational Risk
CA | CN | |||||||||||||||||
RC for Operational Risk |
The sum of:
{CA-LICAT-8.1} |
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Business Volume RC |
Factors
{CA-LICAT-8.2.1} |
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Large Increase in Business Volume RC |
For direct premiums received, calculated separately by:
For assumed reinsurance premiums received, calculated by:
For investment-type products and annuities, calculated by:
{CA-LICAT-8.2.2} |
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General RC |
General required capital has two components.
Shock Factors
{CA-LICAT-8.2.3} |
Aggregation and Diversification of Risks
CA | CN | |||||||||||||||||||||
Within-Risk Diversification |
{CA-LICAT-11.1} |
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Diversification credit between life supported and death supported business |
\(\text{RC}_\text{Aggregate}=\sqrt{\text{RC}_\text{L}^2+\text{RC}_\text{D}^2-1.5\times\text{RC}_\text{L}\times\text{RC}_\text{Aggregate}}\) where:
{CA-LICAT-11.1.1} |
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Morbidity risk credits |
at product group level. Credit for level risk
Credit for volatility risk
{CA-LICAT-11.1.2} |
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Mortality and morbidity risks – portfolio volume credit |
Credit = 0.5 × (L0 − L1) {CA-LICAT-11.1.3} |
Credits
CA | CN | |
Participating Features | ||
Adjustable Products | ||
Reinsurance |
To be continued…
Available Capital
CA | CN | |||||||||||||||||||||||||
Capital Elements |
What aspects are considered?
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Available Capital |
Available capital = |
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Gross Tier 1 Capital |
Gross Tier 1 Capital = Tier 1 Elements other than Capital Instruments = |
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Adjusted Retained Earnings |
…
… {CA-LICAT-2.1.1} |
Superseded Solvency Framework
HK Insurance Ordinance Basis (HKIO)
Term | Definition | Reference | Remark |
Capital Requirement
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HK:
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HK-Cap.41O-3 (a) HK-Cap.41O-4 HK-Cap.41O-3 (b) HK-Cap.41O-5 HK-Cap.41F-10 |
max ($2 mill, the first calculation + the second calculation) |
CA:
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CA-LICAT-1.1.1 |
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Calculation of Solvency Margin (HK) |
For long term class A and long term class B, the first calculation: 4% × MATH_RES_BF_DEDN_IF × r, where:
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HK-Cap.41F-4 (2) |
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For long term class A and long term class B, the second calculation:
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HK-Cap.41F-4 (3), (5), (6), (7) |
CaRi: capital at risk for contract i. TERM: a term life provides for benefits payable only on death within a specified period. T ∈ (0, 12*3): For contracts starting from point-of-sale and within 36 months after POS |
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For long term class C:
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HK-Cap.41F-5 | ||
For long term class D and long term class F:
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HK-Cap.41F-6 | ||
For long term class E:
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HK-Cap.41F-7 | ||
For long term class I:
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HK-Cap.41F-8 | ||
Other long term business | HK-Cap.41F-9 | ||
Tiers of capital |
highest tier (tier 1) regulatory capital:
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HK-Cap.41O-7 HK-Cap.41O-S1 |
Tier 1 regulatory capital examples: paid-up share capital, share premium, retained earnings, and other reserves. |
tier 2 regulatory capital:
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HK-Cap.41O-S2 | Tier 2 regulatory capital examples: revaluation reserves, undisclosed reserves, hybrid instruments, subordinated term debt. | |
Valuation of Interest Rate (VIR) |
VIR = “blended yield” between min(a, b, c) and d, floored by d
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Risk Management and Control
Term | Definition | Reference | Remark |
ORSA |
Own Risk and Solvency Assessment is:
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{CA-E-19-1}, {CA-E-19-2} {CA-E-19-3}, {CA-E-19-4} {CA-E-19-5}, {CA-E-19-Appendix} |