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{"sheet":"Documentation","index":0,"n_rows":41,"n_cols":2,"rows_kept":41,"cut":false,"hidden":false,"merged":[[12,0,12,10],[8,0,8,10],[18,0,18,10],[32,0,32,10],[36,0,36,10],[40,0,40,10],[16,0,16,10],[34,0,34,10]]}
[]
[]
[]
[]
["Documentation"]
[]
["Introduction"]
[]
["This Risk Margin Calculator is intended as a demonstration of an approach that might be usable by long-term insurers to determine risk margins by the cost of capital method.  Companies are welcome to (a) use this tool directly, (b) use their own processes to develop components of the future risk margins and enter them into this model, or (c) determine risk margins by the cost of capital method using their own processes entirely. "]
[]
["Approach Taken"]
[]
["Most long-term insurers determine their capital requirements from the capital factors in the standard BSCR model.  Consequently, forecasting future capital requirements can reasonably be driven by forecasting the base amounts from which the standard capital requirements are obtained.  This Risk Margin Calculator seeks as input the current and projected base amounts. Typically these are annual premiums, net amounts at risk, or best estimates. Future capital requirements are obtained by scaling the current capital requirements for each component in proportion to the projected base amounts.\n\nThis spreadsheet contains simplified projection of future capital requirements under both the old (pre-2019) and the new BSCR basis. The projected amounts under the old and the new basis are used, together with a transitional rule, to calculate the Risk Margin under the transitional arrangement."]
[]
["General Instructions"]
[]
["1.   The Simplified Capital Projection worksheets contain sample data for illustrative purposes only. This data should be removed prior to use."]
[]
["2.   On the Simplified Capital Projection worksheets, insurers can enter their current BSCR capital requirement for various BSCR components in cells D8 to D18.  These amounts can be obtained from the BSCR Summary page. For each relevant capital risk, the current base amount is to be entered on row 22.  Future projected base amounts can then be entered in the remainder of the columns.  The third column for each capital risk will then be calculated as the current capital requirement prorated to each future year.  The required components for the Risk Margin calculation are:"]
[]
[null,"Operational Risk"]
[null,"Counterparty Credit Risk"]
[null,"Insurance Risk - Mortality"]
[null,"Insurance Risk - Stop Loss"]
[null,"Insurance Risk - Riders"]
[null,"Insurance Risk - Morbidity and Disability"]
[null,"Insurance Risk - Longevity"]
[null,"Insurance Risk - Variable Annuities"]
[null,"Insurance Risk - Other"]
[]
[null,"All other capital requirement components can be omitted."]
[]
["3.   After all relevant data has been entered on the Simplified Capital Projection worksheet, the estimated future component capital requirements are carried to the Capital Requirement Calculation worksheets. These worksheet do not require any user inputs. The projected future BSCRs calculated in the worksheet are passed on to the Summary worksheet for final Risk Margin calculation; the yield curve used in the Capital Requirement Calculation worksheets is determined by the selection in the Summary worksheet."]
[]
["4.   The Summary worksheet implements the transition from the old BSCR basis to the new BSCR basis in order to determine the final Risk Margin. For the transitional calculation, the calender year must be entered in cell I7. To obtain the appropriate discount rates, the currency can be selected in cell C11. The calculated Risk Margin is then shown in cell D7."]
[]
["5.   Companies that use their own approaches to developing the cost of capital risk margin may wish to enter their own forecast capital requirements into the Summary work page, or complete their own analysis for their business."]
[]
["Specific Situations"]
[]
["A few insurers have had adjustments to their capital requirements approved by the Authority.  If an adjustment relates to a specific risk identified above, the adjustment can be netted against the appropriate capital requirement on the Simplified Capital Projection worksheets. If the adjustment relates to an insurer's risk not identified above, it can be omitted. In case needed, column G on the Capital Requirement Calculation worksheets allows direct input of the current and forecasted adjustments. This might be useful if a company uses its own tools for developing some of the future capital requirement components."]

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[]
[]
[]
[]
[null,"Simplified Capital Projection - Old (2018) Basis"]
[]
[null,"Current Bermuda Solvency Capital Requirement"]
[null,"BMA Approved Adj",null,200000]
[null,"Credit Risk",null,500000]
[null,"Mortality",null,500000]
[null,"Stop Loss",null,5000]
[null,"Riders",null,5000]
[null,"Morbidity & Disability",null,50000]
[null,"Longevity",null,400000]
[null,"Variable Annuities",null,1000000]
[null,"Other Insurance Risk",null,20000]
[]
[null,"Operational Risk Factor",null,0.03,null,"Note:  Projected Capital Requirements for Operational Risk are determined on the 'Capital Req't Calc - Old' worksheet"]
[]
[null,"BMA Approved Adj. for Insurance or Credit Risk",null,null,null,"Credit Risk",null,null,null,"Mortality Risk",null,null,null,"Stop Loss",null,null,null,"Riders",null,null,null,"Morbidity & Disability",null,null,null,"Longevity",null,null,null,null,"Variable Annuities",null,null,null,"Other Insurance Risk"]
[null,"t","Future Best Estimates","BMA Approved Adjustments",null,"t","Future Credit Risk Amounts","Counterparty credit risk default capital requirement",null,"t","Future Net Amounts At Risk","Mortality capital requirement",null,"t","Future Stop Loss Annual Premiums","Stop Loss capital requirement",null,"t","Future Riders Annual Premiums","Riders capital requirement",null,"t","Future Morbidity &Disability Annual Premiums","Morbidity and Disability capital requirement",null,"t","Future Longevity Best Estimates","Longevity capital requirement",null,null,"t","Future VA Guarantee Values","VA Capital requirement",null,"t","Total Future Best Estimates","Other Insurance Risk capital requirement"]
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{"sheet":"Simplified Capital Proj - New","index":2,"n_rows":122,"n_cols":37,"rows_kept":122,"cut":false,"hidden":false,"merged":[[19,25,19,27],[19,30,19,32],[19,34,19,36],[19,1,19,3],[19,5,19,7],[19,9,19,11],[19,13,19,15],[19,17,19,19],[19,21,19,23]]}
[]
[]
[]
[]
[null,"Simplified Capital Projection - New Basis"]
[]
[null,"Current Bermuda Solvency Capital Requirement"]
[null,"BMA Approved Adj",null,200000]
[null,"Credit Risk",null,500000]
[null,"Mortality",null,500000]
[null,"Stop Loss",null,5000]
[null,"Riders",null,5000]
[null,"Morbidity & Disability",null,50000]
[null,"Longevity",null,400000]
[null,"Variable Annuities",null,1000000]
[null,"Other Insurance Risk",null,20000]
[]
[null,"Operational Risk Factor",null,0.1,null,"Note:  Projected Capital Requirements for Operational Risk are determined on the 'Capital Req't Calc - New' worksheet"]
[]
[null,"BMA Approved Adj. for Insurance or Credit Risk",null,null,null,"Credit Risk",null,null,null,"Mortality Risk",null,null,null,"Stop Loss",null,null,null,"Riders",null,null,null,"Morbidity & Disability",null,null,null,"Longevity",null,null,null,null,"Variable Annuities",null,null,null,"Other Insurance Risk"]
[null,"t","Future Best Estimates","BMA Approved Adjustments",null,"t","Future Credit Risk Amounts","Counterparty credit risk default capital requirement",null,"t","Future Net Amounts At Risk","Mortality capital requirement",null,"t","Future Stop Loss Annual Premiums","Stop Loss capital requirement",null,"t","Future Riders Annual Premiums","Riders capital requirement",null,"t","Future Morbidity &Disability Annual Premiums","Morbidity and Disability capital requirement",null,"t","Future Longevity Best Estimates","Longevity capital requirement",null,null,"t","Future VA Guarantee Values","VA Capital requirement",null,"t","Total Future Best Estimates","Other Insurance Risk capital requirement"]
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[null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,null,13,null,0,null,13,null,0]
[null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,null,14,null,0,null,14,null,0]
[null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,null,15,null,0,null,15,null,0]
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[null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,null,17,null,0,null,17,null,0]
[null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,null,18,null,0,null,18,null,0]
[null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,null,19,null,0,null,19,null,0]
[null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,null,20,null,0,null,20,null,0]
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{"sheet":"Capital Req't Calc - Old","index":3,"n_rows":113,"n_cols":16,"rows_kept":113,"cut":false,"hidden":false,"merged":[[10,5,10,7],[6,1,6,2],[10,8,10,15]]}
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[null,"Capital Requirement Calculation - Old Basis"]
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[null,"Cost of Capital",null,0.06]
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[null,93,{"$f":"HLOOKUP($C$11,'Risk-free rates'!$B$9:$J$110,2+B106,FALSE)","v":3.428133011508061E-2},{"$f":"'Capital Req''t Calc - Old'!$D$9*E105*(1+C106)^(-B106)","v":0},0,{"$f":"'Simplified Capital Proj - Old'!D115","v":0},{"$f":"'Simplified Capital Proj - Old'!$D$18*H106","v":0},0,{"$f":"'Simplified Capital Proj - Old'!H115","v":0},{"$f":"'Simplified Capital Proj - Old'!L115","v":0},{"$f":"'Simplified Capital Proj - Old'!P115","v":0},{"$f":"'Simplified Capital Proj - Old'!T115","v":0},{"$f":"'Simplified Capital Proj - Old'!X115","v":0},{"$f":"'Simplified Capital Proj - Old'!AB115","v":0},{"$f":"'Simplified Capital Proj - Old'!AG115","v":0},{"$f":"'Simplified Capital Proj - Old'!AK115","v":0}]
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{"sheet":"Simplified Capital ProjectionV2","index":4,"n_rows":94,"n_cols":28,"rows_kept":94,"cut":false,"hidden":true,"merged":[[24,21,24,23],[24,25,24,27],[6,6,7,11],[8,6,8,10],[9,6,9,10],[24,1,24,3],[24,5,24,7],[24,9,24,11],[2,1,4,3],[13,6,13,10],[24,13,24,15],[24,17,24,19]]}
[]
[]
[null,"Projected Capital Requirements for Operational Risk are determined on the Summary and Discount of CoC worksheet",null,null,"May want to remove comment"]
[]
[]
[]
[null,"Bermuda Solvency Capital Requirement Charges",null,null,null,null,"Simplification for the calculation of the overall unavoidable market risk in the full calculation (TP5.71)"]
[null,"Fixed IncomeRisk",null,100]
[null,"Equity Risk",null,100,null,null,"Net Best estimates at t=0",null,null,null,null,1000]
[null,"Credit Risk",null,100,"*",null,"Modified duration of the undertaking",null,null,null,null,2]
[null,"Interest Rate",null,25,null,null,"Longest duration of available instruments",null,null,null,null,1]
[null,"Mortality",null,100,"*",null,"Absolute decrease of risk-free rate for this duration",null,null,null,null,4]
[null,"Stop Loss",null,50,"*"]
[null,"Riders",null,25,"*",null,"Overall unavoidable market risk",null,null,null,null,{"$f":"MAX(0,0.5*L9*(L10-L11)*(L10-L11+1)*L12)","v":4000}]
[null,"Morbidity & Disability",null,15,"*"]
[null,"Longevity",null,50,"*"]
[null,"Annuity Risk",null,100]
[null,"Other Insurance Risk",null,50,"*"]
[null,"BSCR Prior to Covariance",null,{"$f":"SUM(D8:D18)","v":715}]
[null,"BSCR After Covariance",null,{"$f":"(D8^2+D9^2+D10^2+D11^2+((D12+D13+D14))^2+D15^2+D16^2+-0.5*((D12+D13+D14)*D16)+D17^2+D18^2)^0.5","v":268.51443164195103}]
[null,"Operational Risk Charge",null,50,"*"]
[null,"Capital Adjustment",null,0]
[null,"Final BSCR",null,{"$f":"D20+D21+D22","v":318.51443164195103}]
[]
[null,"Credit Risk",null,null,null,"Mortality Risk",null,null,null,"Stop Loss",null,null,null,"Riders",null,null,null,"Morbidity & Disability",null,null,null,"Longevity",null,null,null,"Other Insurance Risk"]
[null,"t","Future Ceded Best Estimates","Counterparty credit risk default capital requirement",null,"t","Future Net Amounts At Risk","Counterparty credit risk default capital requirement",null,"t","Future Stop Loss Annual Premiums","Counterparty credit risk default capital requirement",null,"t","Future Riders Annual Premiums","Counterparty credit risk default capital requirement",null,"t","Future Morbidity &Disability Annual Premiums","Counterparty credit risk default capital requirement",null,"t","Future Longevity Technical Provisions","Counterparty credit risk default capital requirement",null,"t","Total Future Technical Provisions","Counterparty credit risk default capital requirement"]
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[null,1,800,80,null,1,90000,90,null,1,80,40,null,1,80,20,null,1,80,12,null,1,900,45,null,1,4500,45]
[null,2,600,60,null,2,80000,80,null,2,60,30,null,2,60,15,null,2,60,9,null,2,800,40,null,2,4000,40]
[null,3,400,40,null,3,70000,70,null,3,40,20,null,3,40,10,null,3,40,6,null,3,700,35,null,3,3500,35]
[null,4,200,20,null,4,60000,60,null,4,20,10,null,4,20,5,null,4,20,3,null,4,600,30,null,4,3000,30]
[null,5,null,0,null,5,50000,50,null,5,null,0,null,5,null,0,null,5,null,0,null,5,500,25,null,5,2500,25]
[null,6,null,0,null,6,40000,40,null,6,null,0,null,6,null,0,null,6,null,0,null,6,400,20,null,6,2000,20]
[null,7,null,0,null,7,30000,30,null,7,null,0,null,7,null,0,null,7,null,0,null,7,300,15,null,7,1500,15]
[null,8,null,0,null,8,20000,20,null,8,null,0,null,8,null,0,null,8,null,0,null,8,200,10,null,8,1000,10]
[null,9,null,0,null,9,10000,10,null,9,null,0,null,9,null,0,null,9,null,0,null,9,100,5,null,9,500,5]
[null,10,null,0,null,10,null,0,null,10,null,0,null,10,null,0,null,10,null,0,null,10,null,0,null,10,null,0]
[null,11,null,0,null,11,null,0,null,11,null,0,null,11,null,0,null,11,null,0,null,11,null,0,null,11,null,0]
[null,12,null,0,null,12,null,0,null,12,null,0,null,12,null,0,null,12,null,0,null,12,null,0,null,12,null,0]
[null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0,null,13,null,0]
[null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0,null,14,null,0]
[null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0,null,15,null,0]
[null,16,null,0,null,16,null,0,null,16,null,0,null,16,null,0,null,16,null,0,null,16,null,0,null,16,null,0]
[null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0,null,17,null,0]
[null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0,null,18,null,0]
[null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0,null,19,null,0]
[null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0,null,20,null,0]
[null,21,null,0,null,21,null,0,null,21,null,0,null,21,null,0,null,21,null,0,null,21,null,0,null,21,null,0]
[null,22,null,0,null,22,null,0,null,22,null,0,null,22,null,0,null,22,null,0,null,22,null,0,null,22,null,0]
[null,23,null,0,null,23,null,0,null,23,null,0,null,23,null,0,null,23,null,0,null,23,null,0,null,23,null,0]
[null,24,null,0,null,24,null,0,null,24,null,0,null,24,null,0,null,24,null,0,null,24,null,0,null,24,null,0]
[null,25,null,0,null,25,null,0,null,25,null,0,null,25,null,0,null,25,null,0,null,25,null,0,null,25,null,0]
[null,26,null,0,null,26,null,0,null,26,null,0,null,26,null,0,null,26,null,0,null,26,null,0,null,26,null,0]
[null,27,null,0,null,27,null,0,null,27,null,0,null,27,null,0,null,27,null,0,null,27,null,0,null,27,null,0]
[null,28,null,0,null,28,null,0,null,28,null,0,null,28,null,0,null,28,null,0,null,28,null,0,null,28,null,0]
[null,29,null,0,null,29,null,0,null,29,null,0,null,29,null,0,null,29,null,0,null,29,null,0,null,29,null,0]
[null,30,null,0,null,30,null,0,null,30,null,0,null,30,null,0,null,30,null,0,null,30,null,0,null,30,null,0]
[null,31,null,0,null,31,null,0,null,31,null,0,null,31,null,0,null,31,null,0,null,31,null,0,null,31,null,0]
[null,32,null,{"$f":"IF(C59<>0,D$10*C59/C$27,0)","v":0},null,32,null,{"$f":"IF(G59<>0,D$12*G59/G$27,0)","v":0},null,32,null,{"$f":"IF(K59<>0,D$13*K59/K$27,0)","v":0},null,32,null,{"$f":"IF(O59<>0,D$14*O59/O$27,0)","v":0},null,32,null,{"$f":"IF(S59<>0,D$15*S59/S$27,0)","v":0},null,32,null,{"$f":"IF(W59<>0,D$16*W59/W$27,0)","v":0},null,32,null,{"$f":"IF(AA59<>0,D$18*AA59/AA$27,0)","v":0}]
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[null,34,null,0,null,34,null,0,null,34,null,0,null,34,null,0,null,34,null,0,null,34,null,0,null,34,null,0]
[null,35,null,0,null,35,null,0,null,35,null,0,null,35,null,0,null,35,null,0,null,35,null,0,null,35,null,0]
[null,36,null,0,null,36,null,0,null,36,null,0,null,36,null,0,null,36,null,0,null,36,null,0,null,36,null,0]
[null,37,null,0,null,37,null,0,null,37,null,0,null,37,null,0,null,37,null,0,null,37,null,0,null,37,null,0]
[null,38,null,0,null,38,null,0,null,38,null,0,null,38,null,0,null,38,null,0,null,38,null,0,null,38,null,0]
[null,39,null,0,null,39,null,0,null,39,null,0,null,39,null,0,null,39,null,0,null,39,null,0,null,39,null,0]
[null,40,null,0,null,40,null,0,null,40,null,0,null,40,null,0,null,40,null,0,null,40,null,0,null,40,null,0]
[null,41,null,0,null,41,null,0,null,41,null,0,null,41,null,0,null,41,null,0,null,41,null,0,null,41,null,0]
[null,42,null,0,null,42,null,0,null,42,null,0,null,42,null,0,null,42,null,0,null,42,null,0,null,42,null,0]
[null,43,null,0,null,43,null,0,null,43,null,0,null,43,null,0,null,43,null,0,null,43,null,0,null,43,null,0]
[null,44,null,0,null,44,null,0,null,44,null,0,null,44,null,0,null,44,null,0,null,44,null,0,null,44,null,0]
[null,45,null,0,null,45,null,0,null,45,null,0,null,45,null,0,null,45,null,0,null,45,null,0,null,45,null,0]
[null,46,null,0,null,46,null,0,null,46,null,0,null,46,null,0,null,46,null,0,null,46,null,0,null,46,null,0]
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[null,"Risk Margin Calculation"]
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[null,"Risk Margin",null,null,{"$f":"SUM(E14:E113)","v":452836.49191351963},null,"Calendar Year End",null,2019]
[]
[null,"Cost of Capital",null,null,0.06]
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[null,"t","Cal Year","Yield curve","Discounted CoC","BSCR","Transitional Weight","Old Basis BSCR","New Basis BSCR"]
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[null,32,2051,{"$f":"HLOOKUP($D$11,'Risk-free rates'!$B$9:$J$110,2+B45,FALSE)","v":2.025355062652312E-2},{"$f":"Summary!$E$9*F44*(1+D45)^(-B45)","v":0},0,0,{"$f":"'Capital Req''t Calc - Old'!E45","v":0},{"$f":"'Capital Req''t Calc - New'!E45","v":0}]
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["Summary and Discount of Cost of Capital"]
[]
[]
[]
[]
[]
[null,null,null,null,null,"Risk Free Spot Rates - End December 2019"]
[]
[null,null,"USD","EUR","GBP","CHF","CAD","JPY","AUD","NZD"]
[null,"Maturity (years)"]
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{"sheet":"Correlation Matrix","index":9,"n_rows":17,"n_cols":14,"rows_kept":17,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
[]
[null,"Correlation Matrices"]
[]
[]
[]
[null,"Long-term Insurance Risk",null,null,null,null,null,null,null,null,"Overall BSCR"]
[null,null,"Mort","Stop Loss","Riders","Morb & Dis","Long","VA Guar","Other",null,null,"Market","Credit","LT Ins"]
[null,"Mort",1,0.75,0.75,0.25,-0.5,0,0.125,null,"Market",1,0.25,0.125]
[null,"Stop Loss",0.75,1,0.75,0,-0.5,0,0.25,null,"Credit",0.25,1,0.25]
[null,"Riders",0.75,0.75,1,0,-0.5,0,0.25,null,"LT Ins",0.125,0.25,1]
[null,"Morb & Dis",0.25,0,0,1,0,0,0.25]
[null,"Long",-0.5,-0.5,-0.5,0,1,0,0.25]
[null,"VA Guar",0,0,0,0,0,1,0.25]
[null,"Other",0.125,0.25,0.25,0.25,0.25,0.25,1]