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Calculation of MCT ratio
- MCT ratio = capital available / min capital required (= sum of capital req'ts at CTE 99% over a 1-year horizon for each risk, less diversification credit, divided by 1.5), incl:
- insurance risk
- Capital required for unpaid claims and premium liabilities
- CAT reserves;
- Margin required for reinsurance ceded to unregistered reinsurers.
- market risk, interest rate risk, foreign exchange risk, equity risk, real estate risk, other market risk exposures.
- credit risk; (Counterparty default risk for)
- on and off-BS exposures
- Collateral held for unregistered reinsurance and SIR
- operational risk
- Less:
- Diversification credit
- Divided by 1.5.
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Regulatory capital req't / comparison
- Min:
- cover risks in capital tests
- if MCT ratio < 100%, OSFI will be very concerned about ongoing viability and risk to p.h. and creditors.
- Supervisory target:
- cover risks in capital tests plus margin for other risks not in capital tests (e.g.reputation, legal)
- require >= 150% to build a cushion above min to facilitate OSFI’s early intervention
- Internal target:
- cover all risks based on insurer’s own risk profile and risk appetite (from ORSA);
- > supervisory
- should maintain capital > internal target. If anticipates falling below need to:
- Notify OSFI immediately
- Provide OSFI with plans on correction actions to return to Internal Target level within a reasonable period
- Min and Supervisory: based on simplifying assumptions applicable industry-wide, not individualized
- Internal: ORSA to determine own capital needs and establish Internal Targets
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Why should internal target > supervistory target
- Exposure to risks not captured in supervisory target (absorb unexpected losses)
- Trigger mgt actions before regulators actions
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Capital available components
- Common equity / category A capital
- Category B capital
- Category C capital
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Considerations for defining the capital available for measuring capital adequacy
- Availability: extent that capital element is fully paid in and available to absorb losses;
- Permanence: period for, extent that, capital element is available;
- Absence of mandatory servicing fees: extent that capital element is free from mandatory fees
- Subordination: extent that capital element is subordinated to rights of p.h.'s and creditors in insolvency
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Category A capital
- Common shares:
- Share issued and paid
- contributed surplus
- Retained earnings;
- reserves (EQ, nuclear and general contingency)
- AOCI
- Dividends are removed from capital available
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Limits on categories B & C
- (B+C) <= 40% of total capital available excl AOCI
- C <= 7% of total capital available excl AOCI.
- B and C exceeding limits will be subject to:
- If either B or C > limits, excess will be excluded
- If B and C both > limits, max of two excesses will be excluded (1st fully exclude excess under C, then excess under B)
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Regulatory Adjustments to Capital Available - Deductions
- Interests in and loans to non-qualifying subsidiaries, associates, joint ventures with > 10% ownership
- Unsecured unregistered reinsurance and SIRs
- Amounts receivable and recoverable to extent not covered by deposits or LOC;
- lack of collateral on SIRs that require collateral to ensure collectability of recoverables
- EPR not used as part of financial resources to cover EQ risk exposure
- DPAE with A&S business
- AOCI on CF hedges
- Accumulated impact of shadow accounting
- Goodwill and other intangible assets
- Deferred tax assets
- G and L due to changes in own credit risk
- DB fund assets and liabilities
- Investments in own instruments (treasury stock)
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Regulatory Adjustments to Capital Available - Adjustments
- reverse from retained earnings,
- unrealized AT FV G/L for owner-occupied property with value based on FV
- Accumulated net AT revaluation losses in excess of G
- reversed from AOCI: Net AT revaluation G
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Capital Treatment of Interests in and Loans to Consolidated subsidiaries
f.s.'s of subsidiaries consolidated and included in parent’s capital available, their A and L are subject to risk factors and liability margins in parent’s MCT.
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Types of exposures with non-qualifying subsidiaries, associates, and joint ventures - exclusion/inclusion in capital available
- Excluded
- Common or preferred shares
- Ownership > 10% joint venture
- Loans or other debt instruments considered as capital
- Included
- Ownership ≤ 10% joint venture
- Loans or other debt instruments not considered as capital
- Receivables
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Example of calculation of capital available
- Common Shares
- + Contributed Surplus
- + Retained Earnings
- – Accumulated net after‐tax fair value gains (losses) from changes in company’s own credit risk
- + AOCI
- + Earthquake reserves
- – EPR not used as part of financial resources to cover exposure
- + Category B instruments
- + Category C instruments
- – Interests in joint ventures with > 10% ownership
- – Loans considered as capital to associates
- – Intangible assets (net of eligible deferred tax liability)
- – Deduction for unregistered reinsurance receivables in excess of acceptable collateral
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Insurance Risk - Defn
- potential for claims or payouts to be made to p.h.'s
- exposure from PV of losses > original estimate
- uncertainties around:
- Ultimate amount of net CFs from premiums, commissions, claims, and LAE
- Timing of these CFs
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Insurance Risk margin for MCT
- Unpaid claims (reserving risk from variation in claims provisions);
- Premium liabilities (UW risk incl CATs);
- CATs
- Margin required for reinsurance ceded to unregistered reinsurers (recoverables)
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Insurance risk margin - Calc
- premium liabilities by LOB = max [net premium liabilities (net of reinsurance) - PfAD, 30% of NWP for past 12 months] * risk factor
- claim liabilities by LOB = [net claims liabilities (net of reinsurance, S&S, SIRs) - PfAD] * risk factor
- CATs = margin for EQ (EQ reserves) /Nuclear
- unregistered reinsurers = 15% * ceded policy liabilities, reduced by max [0, (collateral + payables) - (ceded policy liabilities + receivables)], with LOC capped at 30% * Ceded policy liabilities
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A ceding insurer is given credit for unregistered reinsurance when
Ceding maintains a valid security interest in the assets of an unregistered reinsurer
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Unregistered reinsurers - Deduction from capital available
- Receivables and recoverables are deducted to extent not covered by collateral and payable.
- For each unregistered reinsurer, deduction required if A+B+C-D-E-F > 0
- UEP ceded;
- O/S losses recoverable;
- receivables;
- payables
- non-owned deposits held as security
- acceptable LOC held as security
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Criteria for collateral used to obtain credit for a unregistered reinsurer
- materially reduce credit risk of reinsurer
- available for period >= remaining term of ceded liabilities as credit for unregistered reinsurance
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How reinsurance agreements with unregistered reinsurers would impact the following MCT components
- capital available: deduction to extent receivable and recoverable not covered by collateral
- insurance risk: increased due to margin required
- credit risk: increased by higher counterparty default risk, which is decreased by excess collateral
- operational risk:
- from impact on credit risk and insurance risk
- Impacts amount of premium ceded
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EQ reserves calculation
- EQ Reserves = (EPR + ERC) x 1.25 (added to total capital req'ts)
- ERC = EQ Risk Exposure - Financial Resources ≥ 0 (to cover EQ risk not covered by financial resources)
- EQ Risk Exposure = CW PML500 x (Year - 2014)/8 + MAX [East PML420, West PML420] x (2022 - Year)/8
- Financial Resources =
- 10% of capital and surplus
- + reinsurance coverage (collectible in an EQ event)
- + capital market financing
- + EPR
- EPR is voluntarily accumulated. if financial resources sufficient to cover EQ risk without it, EPR can be deducted from capital available (instead of added to total capital req'ts)
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Measurement of EQ Risk Exposure - PML
- EQ PML is $ threshold of losses beyond major EQ losses unlikely.
- Gross PML (after ded before CAT / other reinsurance protection) is used for calculating EQ risk exposure for regulatory purposes.
- PML incl adjustments for data quality, non-modelled exposures and model uncertainty, and corresponds to worldwide exposure for Canadian insurers and Canadian exposure for branches of foreign insurers
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Measurement of EQ Risk Exposure - Model approach, phase 1 calculation
- Material exposure must use models to estimate PML, incl:
- Commercial models, in-house or run by TP
- Internal estimation technique / model to OSFI’s satisfaction
- OSFI requires progressing to 500 year PML by 2022
- CW PML500 = (East PML500^1.5 + West PML500^1.5)^(1/1.5)
- 99.8th percentile of exceedance probability curve + adj'ts for data quality, model uncertainty, non-modelled business
- CW PML (Year) = CW PML500 x (Year – 2014)/8 + MAX [East PML420, West PML420] x (2022 – Year)/8
- Year = current reporting year
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Measurement of EQ Risk Exposure - Standard approach
CW PML = Max (East PTIV - ded, West PTIV - ded), if: - insurer does not use EQ model for PML, or
- OSFI not satisfied with its EQ risk estimation technique
- PTIV for EQ risk exposure incl building, contents, outbuildings, additional living expenses and BI
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Financial resources to cover EQ risk exposure
- Capital and Surplus: up to 10% to cover EQ risk exposure
- Canadian insurers: up to 10% of total equity
- Canadian branch: up to 10% of worldwide; but after an event, must still have >=10% of worldwide to meet Canadian obligations
- EPR: voluntary accumulation of EQ premiums (must <= CW PML500)
- Reinsurance Coverage: based on reinsurance in force day after end of financial reporting period and should = amount of reinsurance collectable for a loss of PML size, net of retention
- Capital Market Financing: require OSFI approval before recognizing as a financial resource for EQ
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EPR and ERC considerations / limitations
- if EQ implicitly included in policy premium (CAT reinsurance not specific to EQ risk), need to demonstrate premium allocated to EQ is reasonable
- EQ premium contributed to EPR must remain in EPR unless material decrease in exposure.
- Should EQ occur, establish unpaid claims and LAE, and EPR would be reduced by claims reserves, ERC would be reduced after EPR by claims reserves.
- reduction in EPR or ERC should be brought back into unappropriated surplus immediately.
- EPR and ERC are reported in reserves on BS
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Market Risk - Defn
Changes in rates or prices in markets for interest rates, forex rates, equities, real estate.
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Interest Rate Risk - Defn
From market changes in interest rates and impact on interest rate sensitive assets and liabilities.
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The components used to calculate the interest rate risk margin
- FV will change with movements in interest rates:
- Interest rate sensitive assets:
- Term deposits and other ST securities (excl cash)
- Bonds and debentures
- Commercial paper
- Loans, mortgages
- Preferred shares
- Interest rate derivatives held for other than hedging purposes.
- Interest rate sensitive liabilities:
- Net unpaid claims and LAE (incl PfADs, net of reinsurance, S&S and SIRs),
- Net premium liabilities (incl PfADs, after reinsurance recoverables)
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Allowable interest rate derivatives
- CFs depend on future interest rates, used to hedge interest rate risk.
- Underlying hedges must decrease interest rate risk and addition of such derivatives does not increase overall risk
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Duration of allowable interest rate derivatives
Effective duration appropriate when assets or liabilities have embedded options.
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Portfolio duration
- Weighted average of the duration of the assets or liabilities with weight = FV of security/FV of portfolio
- w1D1 + w2D2 + w3D3 + … + wkDK
- wi = FV of security i / FV of portfolio
- Di = duration of security i
- K = # of securities in the portfolio.
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Dollar fair value change
- Modified and effective duration are related to % FV changes.
- Interest rate risk requirements depend on determining the adjustment to FV of interest rate sensitive assets and liabilities for $ FV changes.
- $ FV change = duration * $ FV * interest rate change
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Duration of allowable interest rate derivatives
- Effective duration is the appropriate measure when assets or liabilities have embedded options.
- For portfolios with plain-vanilla interest rate derivatives, use effective $ duration because the insurer is hedging $ interest rate risk exposure.
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Effective dollar duration of a swap
Effective $ duration of a swap for a fixed-rate payer = effective $ duration of a floating-rate bond – effective $ duration of a fixed rate bond
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Interest rate risk margin calculation
Eco impact of Δy change in interest rates (1.25%) - $ FV change in interest rate sensitive assets for increase of Δy = Duration x Δy x FV
- $ FV change in interest rate sensitive liabilities for increase of Δy = Duration x Δy x FV
- Effective $ duration change in allowable interest rate derivatives for increase of Δy = sum of effective $ duration for Δy increase
- capital requirement for increase of Δy: max(0, A – B + C)
- Steps A-C are repeated for decrease of Δy and capital requirement = max(0, A – B + C)
- interest rate risk margin = max (D,E)
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Foreign Exchange Risk defn
Risk of loss resulting from fluctuations in currency exchange rates and is applied to the entire business activity
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Foreign Exchange Risk margin - 2 steps
- Measure exposure in each currency position
- Calculate capital requirement for the portfolio of positions in different currencies.
- Forex risk margin is 10% * max of agg net long and short positions in each currency, adjusted by effective allowable forex rate hedges if any
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Equity Risk defn
Risk of economic loss due to fluctuations in the value of common shares and other equity securities
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Equity Risk components
- Common shares and joint ventures: risk factor to investments where company holds <= 10% ownership interest.
- Futures, forwards, and swaps: risk factor to MV of equity security or index
- Short positions
- Recognition of equity hedges (must demonstrate that hedging strategies decrease overall risk)
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Real Estate Risk
- Risk of eco loss due to changes in value of a property or in amount and timing of CFs from investments in real estate
- Risk factors to
- Owner-occupied properties (excl unrealized FV G/L arising at conversion to IFRS, or subsequent unrealized FV G/L due to revaluation)
- Real Estate held for investments purposes
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Credit Risk defn
Counterparty’s potential inability or unwillingness to fully meet its contractual obligations.
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Credit risk - Components & counterparties
- BS assets: loans carried at FV under FV option, FV hedges, AFS (amortized cost);
- off-BS exposures: structured settlements, LOC or non-owned deposits, derivatives
- collateral and guarantees
- Counterparties: issuers, debtors, borrowers, brokers, p.h.'s, reinsurers and guarantors.
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Credit risk - Calculation
- risk factors either:
- based on credit rating of counterparty or
- OSFI prescribed factor
- Capital req'ts:: factors to BS values
- Off-BS exposures: factors to exposure amounts
- Collateral may be used to reduce exposure
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Capital requirements for collateral for unregistered reinsurance
- Apply risk factors to total amount of collateral from each reinsurer
- Collateral in excess of unregistered reinsurance requirements are considered excess collateral and are not subject to capital requirements.
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Reduction in capital required for excess collateral for unregistered reinsurers
For each reinsurer, - Excess Collateral = Max(0; Non‐owned deposits + Letters of credit +Payables ‐ 1.15 * (Unearned premium + Outstanding Losses) – Receivables)
- Excess collateral % = Excess collateral / Total collateral
- Capital required for counterparty default risk for unregistered reinsurance collateral and SIRs = Collateral * risk factor * (1- excess collateral %)
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SIRs recoverable for regulatory capital purposes
- SIR = portion of a loss payable by the policyholder
- To admit SIRs recoverable for regulatory capital purposes, OSFI may require collateral to ensure collectability. e.g., when there is an excessive concentration of SIRs owed by one policyholder.
- LOCs may be used as collateral for SIRs
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Credit risk factors
- Depending on credit rating and the remaining term to maturity
- LT / ST obligations, preferred shares
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Capital req'ts for Off-BS Exposures - Calculation
- (credit equivalent amount at reporting date (replacement cost for structure settlements)
- - value of collateral or guarantees)
- * factor reflecting nature and maturity (credit conversion factor)
- * factor reflecting counterparty default risk
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Operational Risk defn
- from inadequate or failed internal processes, people and systems or from external events (incl legal risk; excl strategic and reputation risk)
- Exposure from
- day-to-day operations or
- specific, unanticipated event
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Operational Risk margin Formula
- Risk drivers: capital required and premiums, subject to a cap.
- MIN {30% CR0, (8.50% CR0 + 2.50% Pw + 1.75% Pa + 2.50% Pc + 2.50% PΔ) + MAX(0.75% Paig, 0.75% Pcig)}
- CR0 = total capital required, before operational risk margin and diversification credit
- Pw = direct WP in past 12 months
- Pa = assumed WP in past 12 months from TP reinsurance
- Paig = assumed WP in past 12 months from intra-group pooling
- Pc = ceded WP in past 12 months from TP reinsurance
- Pcig = ceded WP in past 12 months from intra-group pooling
- PΔ = GWP growth in past 12 months above 20% (direct+assumed excl assumed from intragroup pooling)
- rapid growth from acquisitions, new LOB or changes to existing products / UW can create pressures on people and systems
- A 30% cap to dampen operational risk margin for companies with high-volume/low-complexity business
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Diversification Credit - Purpose and calc
- to recognize that risks are not perfectly correlated; very low probability all risks will suffer x percentile loss simultaneously -> reduction to capital. explicit credit for diversification between asset risk and insurance risk so capital required < straight sum
- Diversification credit = A + I − sqrt (A^2 + I^2 + 2*R*A*I)
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