FCR Recalibration. Presentation to Industry Emile Stipp Deloitte Actuarial & Insurance Solutions &...

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  • FCR Recalibration .Presentation to Industry

    Emile StippDeloitte Actuarial & Insurance Solutions & Insight ABC11 August 2005

    Presentation to Industry

    2004 Deloitte & Touche

    OVERVIEWPART I:Broad aimsConceptual frameworkOverview of methodology and dataPART II:ResultsFurther discussion pointsThe way forward

    Presentation to Industry

  • PART I

    Presentation to Industry

    2004 Deloitte & Touche

    Broad aimsTo construct a formula, on the basis of data from Star Returns, and Dynamic Financial Analysis, which would be an appropriate basis for a solvency requirement, for those companies that choose not to use an approved Internal ModelIn accordance with work performed by the FSB and the Financial Condition Reporting Sub-Committee of ASSAs STICTaking into account international developments on short-term insurance solvency requirementsThe formula should be prudentAnd will be a function of capital charges determined to cover:Insurance riskInvestment riskCatastrophe riskOperational riskOther elements of risk, e.g. underwriting cycle would be explicitly or implicitly included in formula

    Presentation to Industry

    2004 Deloitte & Touche

    Conceptual frameworkProgression from industry calibration, to certified model, to internal model:Industry calibrationCertified modelInternal modelIncreasing complexityIncreasing appropriateness for individual companyIncreasing costIncreasing usefulness in risk management

    Presentation to Industry

    2004 Deloitte & Touche

    Conceptual frameworkProgression from industry calibration, to certified model, to internal model:Industry calibrationCertified modelInternal modelNecessarily approximate

    Must be prudent for all companies

    Hence is prudent overallMore precise for liabilities

    But involves judgement

    And hence requiresprofessional certificationMaximum precision for liabilities and assets

    Also requiresprofessional certification

    Leads to greatest understanding of risks

    Provided models are transparent and realistic

    Presentation to Industry

    2004 Deloitte & Touche

    Conceptual frameworkAll of the above as opposed to current model, which:Contains heroic approximationsOther than by chance, gives no indication of real risks faced by a companyPrudent for some, and imprudent for othersIts only advantage is that it is simpleThe intention is that industry calibrated model would be easy to apply in practiceAlthough there may be complex maths operating in the background The industry calibration should walk a tightrope between:High complexity due to a desire to allow for all possibilities and the individual circumstances of each company; versusOver-simplification due to a desire to make the formula easy to apply in practice

    Presentation to Industry

    2004 Deloitte & Touche

    Overview of methodologyWe first set up programmes that analyse desired aspects of the data contained in STAR returns, dating back to 1990, taking into account changes in layout in 1999We identified: duplicate, blank and corrupted files, inconsistent financial year-ends, inconsistencies or changes in company names or structures & made appropriate adjustmentsThe following were extracted from the data (among other items): Claims payment run-offsOutstanding claims reservesIBNR reservesEarned premiumsExpenses and commissionWe analysed claims run-off using the Bornhuetter-Ferguson (BHF) methodAnd estimated Ultimate Loss Ratios emerging for each accident year for each company

    Presentation to Industry

    2004 Deloitte & Touche

    Data: ultimate loss ratios before cleansing

    Presentation to Industry

    1.1 ULR

    UncleanedCleaned

    ULRBinFrequencyBHF ULRBinFrequency

    -3.5519970366< 020.194137147< 00

    -0.0490819663090.237989677700

    00 to 0.0510.26962408110 to 0.050

    00.05 to 0.100.31433329910.05 to 0.10

    00.1 to 0.1530.40493941460.1 to 0.150

    00.15 to 0.280.41173729420.15 to 0.21

    00.2 to 0.2520.41738213460.2 to 0.251

    00.25 to 0.350.44623738410.25 to 0.31

    00.3 to 0.3520.45291428660.3 to 0.351

    00.35 to 0.420.48025336830.35 to 0.40

    00.4 to 0.4570.48812940940.4 to 0.454

    0.03711464950.45 to 0.580.49138975770.45 to 0.56

    0.12935207360.5 to 0.55160.49366411950.5 to 0.5515

    0.12955575640.55 to 0.6220.49804064590.55 to 0.616

    0.14785555250.6 to 0.65180.5014280430.6 to 0.6510

    0.15148868630.65 to 0.7300.51535701130.65 to 0.725

    0.1636838160.7 to 0.75320.51539635870.7 to 0.7523

    0.17236903110.75 to 0.8390.51853441780.75 to 0.830

    0.17650730340.8 to 0.85310.51923779230.8 to 0.8525

    0.18153115880.85 to 0.9230.5219596220.85 to 0.919

    0.18502076830.9 to 0.9590.52239108890.9 to 0.9510

    0.18907295630.95 to 1110.52437829980.95 to 17

    0.19413714651 to 1.0560.52685145671 to 1.055

    0.21253686631.05 to 1.130.52986169151.05 to 1.13

    0.23798960061.1 to 1.1560.53636859161.1 to 1.154

    0.27034367621.15 to 1.230.53989037551.15 to 1.23

    0.27849658721.2 to 1.2520.54206425711.2 to 1.252

    0.27923948531.25 to 1.300.54458890651.25 to 1.30

    0.27998499621.3 to 1.3510.54590547341.3 to 1.352

    0.29305649181.35 to 1.410.55125447921.35 to 1.41

    0.31257454531.4 to 1.4500.55888390171.4 to 1.450

    0.31432685071.45 to 1.500.56237582851.45 to 1.52

    0.37870455241.5 to 1.5520.56980555371.5 to 1.551

    0.38166338571.55 to 1.620.5741408521.55 to 1.62

    0.40107737641.6 to 1.6510.57500820531.6 to 1.650

    0.41173725531.65 to 1.720.57563552621.65 to 1.71

    0.41738211131.7 to 1.7500.58071171211.7 to 1.750

    0.41802305591.75 to 1.800.5838530371.75 to 1.80

    0.42782117371.8 to 1.8500.58448341181.8 to 1.850

    0.43298062271.85 to 1.900.58530255291.85 to 1.90

    0.44623728981.9 to 1.9500.59046723761.9 to 1.950

    0.4522501851.95 to 200.59141040241.95 to 20

    0.45291292912 to 2.0500.59282352342 to 2.050

    0.45672219162.05 to 2.110.59368988812.05 to 2.10

    0.46861646872.1 to 2.1510.59977784632.1 to 2.151

    0.48019602892.15 to 2.200.60110896182.15 to 2.20

    0.49138975522.2 to 2.2500.61087909682.2 to 2.250

    0.49348898092.25 to 2.310.61374675172.25 to 2.31

    0.49552365292.3 to 2.3500.61544422582.3 to 2.350

    0.50036315772.35 to 2.400.62481136562.35 to 2.40

    0.51539303952.4 to 2.4500.62516775792.4 to 2.450

    0.51690613962.45 to 2.500.62925735372.45 to 2.51

    0.5185344164> 2.550.6326319934> 2.52

    0.52046924050.6329666002

    0.52736876260.6426642455

    0.52986010330.6556830602

    0.53179918420.6568211517

    0.53636698390.6594665048

    0.53894962910.6615136048

    0.53989037550.6639730765

    0.54023255080.6642881427

    0.54136681040.6681685624

    0.54177830360.6693391569

    0.54230938910.6710211389

    0.54798911750.6731130005

    0.55172413790.6765326344

    0.55760542260.6766318528

    0.56004629210.6771755873

    0.56034949210.6804075269

    0.56312710170.6811406539

    0.57032910710.6829025716

    0.57709389710.6863364792

    0.57977522960.687172739

    0.58074982390.6890634925

    0.58315768710.6894475872

    0.58384021830.6909341916

    0.58440876820.6912691978

    0.58447057930.6918715681

    0.5852912610.6952708801

    0.59182687470.6979397904

    0.59282174650.7001321104

    0.59346250710.7001666125

    0.59404037720.7012882322

    0.59638590460.7033815309

    0.59823402760.7047746706

    0.59905399360.7052100582

    0.59988332230.7054779554

    0.60151667930.7081150637

    0.60592954160.7085106388

    0.61390240750.7182746217

    0.61603340840.7211232388

    0.62647205030.7219806158

    0.62828952820.7246504927

    0.63039351390.7261238391

    0.63085301440.7296158816

    0.63231154260.729689168

    0.63265044810.7308284215

    0.63493169860.7380674097

    0.63687898290.7423429407

    0.63755506440.7461171957

    0.638377070.7474575034

    0.63880930340.7483826274

    0.64016982260.7488496661

    0.64228973330.7518587692

    0.6476258510.7534863681

    0.65247290780.7587834261

    0.65856503990.7591567847

    0.65950279710.7596229175

    0.65962748940.7597219029

    0.66419593030.7620681611

    0.6671605250.7644139045

    0.66799825860.7663671758

    0.66871527160.7681204237

    0.66893162240.7708582718

    0.67070358840.7709532896

    0.67536680760.7723590236

    0.67538919230.7726687098

    0.67605911280.7746528089

    0.67665566560.7767425494

    0.6773173860.7788723049

    0.67902101910.7808676131

    0.67952641960.782183689

    0.68189100630.7881779116

    0.68268320090.7883856286

    0.68368533950.7908459278

    0.68551177270.7909315921

    0.68657909130.7915998715

    0.68772875660.7940507104

    0.68837248440.7951305817

    0.68861999880.796734332

    0.68874756220.7968180733

    0.69007451610.7987007358

    0.69319348690.7988546421

    0.69406796460.802254822

    0.69996419620.8044127707

    0.70119509270.8065883254

    0.70217659180.8114175659

    0.7024253090.8142851683

    0.70337916680.8158879342

    0.70436964060.8172295914

    0.70491675840.8257443921

    0.7074620340.8269150515

    0.70746624790.8271728659

    0.70832571670.8277150584

    0.70957653660.8285471186

    0.71092150170.8289454724

    0.71265911290.8305386553

    0.7172583210.8308757613

    0.71930261640.8343486922

    0.72039022440.8367617055

    0.7208279110.8372474176

    0.7221139180.8372513906

    0.72266646360.8448898388

    0.72326618210.8457769511

    0.72349001470.8458345472

    0.72464835780.8471929208

    0.72572977330.8479035164

    0.73082626840.8490228303

    0.73243989890.8509314915

    0.73446818380.8520180087

    0.73696392330.8591311354

    0.7376298540.8715939163

    0.7381704210.8722198209

    0.74279023330.8727379508

    0.74438729610.8738298224

    0.74499930710.8756124934

    0.7460111550.8771200467

    0.75126208530.8780437351

    0.75180177350.8781460579

    0.75312446110.8809549864

    0.75318352060.8854499102

    0.75684914930.8859557062

    0.75915667310.886472156

    0.75962283350.88660118

    0.76113121870.8910867671

    0.76196586970.8981681434

    0.76371863150.8995981233

    0.76545460080.9117846835

    0.76657839930.925285104

    0.76925445230.927031073

    0.77053560930.9270455554

    0.77139760320.9289032

    0.77235868770.9299719299

    0.77352702730.9319145502

    0.77582273160.9349331058

    0.77885520440.9465993159

    0.77900537730.9472157431

    0.77923625480.9513393644

    0.78005359220.9640665627

    0.78218216120.9764402194

    0.78497474660.9850099181

    0.78539077720.9883824564

    0.78555262490.9931819595

    0.78759897770.9959354414

    0.78820859551.00810788

    0.78827626231.0090967768

    0.78953005761.0101993626

    0.79081864871.0211375828

    0.79179671751.0295542489

    0.79239257141.0551001611

    0.7929075191.0801394617

    0.79472320141.0958080468

    0.79557250361.1010793799

    0.79681798521.1085017046

    0.79938692271.1307898888

    0.79977189971.139223978

    0.80040339341.150220988

    0.80055672171.1656243341

    0.8073622861.1709030955

    0.8080969941.2112540475

    0.81142893131.2139836983

    0.81152579981.3091196261

    0.81319514661.3466238088

    0.81353142891.3686218525

    0.81355843611.4702788713

    0.81510581071.4994226704

    0.81518249851.546120007

    0.81937760671.5582413983

    0.82152881571.5731041328

    0.8220195721.6781130441

    0.82448261692.1072769997

    0.82669328922.260366075

    0.82713491032.4901599733

    0.82762830482.6611904263

    0.83117386033.0887230219

    0.832357582

    0.8328904197

    0.8331744152

    0.8333018131

    0.8343504111

    0.8406114672

    0.8448897672

    0.8462306416

    0.8480854734

    0.8487736582

    0.8491494559

    0.8492238185

    0.8508279743

    0.8533915281

    0.8556260946

    0.8556772273

    0.8584595121

    0.8606647301

    0.8633180305

    0.8638824273

    0.8697430457

    0.8703881613

    0.8727353796

    0.8732445916

    0.8756097264

    0.8789586184

    0.8800746129

    0.8809523909

    0.8854476794

    0.8893826782

    0.8910199023

    0.8910375573

    0.8965714287

    0.8984634455

    0.8989077432

    0.9111305752

    0.9124825884

    0.9128298559

    0.9286094798

    0.9293917221

    0.9318047083

    0.9319145492

    0.9349330024

    0.9456917858

    0.9560574474

    0.964066421

    0.9643835137

    0.9679355976

    0.9709166837

    0.9834588322

    0.9850098091

    0.9858218688

    0.988382234

    0.9908659468

    0.9931819579

    1.0081202349

    1.0172119578

    1.0261639056

    1.0327639071

    1.0333458292

    1.0387101856

    1.0676226015

    1.0679591762

    1.0964918741

    1.1010754989

    1.1084779014

    1.1130772132

    1.1181479009

    1.1479791308

    1.1488652174

    1.1668717494

    1.1714329862

    1.1820987227

    1.2143485279

    1.2152381627

    1.3090595559

    1.3792266933

    1.5232755993

    1.5387879399

    1.5730319495

    1.5806586259

    1.6253553093

    1.6779682464

    1.6858545292

    2.0789208317

    2.1072689627

    2.260527279

    3.0949524812

    5.8215395452

    6.004488346

    6.5912463336

    7.5454804707

    1.1.1 Chart

    2

    9

    1

    0

    3

    8

    2

    5

    2

    2

    7

    8

    16

    22

    18

    30

    32

    39

    31

    23

    9

    11

    6

    3

    6

    3

    2

    0

    1

    1

    0

    0

    2

    2

    1

    2

    0

    0

    0

    0

    0

    0

    0

    1

    1

    0

    0

    1

    0

    0

    0

    0

    5

    Frequency

    Original ULR's - Motor

    1.1.2 Chart

    0

    0

    0

    0

    0

    1

    1

    1

    1

    0

    4

    6

    15

    16

    10

    25

    23

    30

    25

    19

    10

    7

    5

    3

    4

    3

    2

    0

    2

    1

    0

    2

    1

    2

    0

    1

    0

    0

    0

    0

    0

    0

    0

    0

    1

    0

    0

    1

    0

    0

    0

    1

    2

    Frequency

    Cleaned ULR's - Motor

    1.2 Expenses

    Gross Written Premium MotorGross Expenses Motor

    84,6436,646

    146,81310,383

    67,7176,423

    51,2774,949

    61,8516,245

    74,6497,248

    108,4819,686

    133,42011,210

    180,69813,343

    23,7293,216

    31,8444,205

    23,7454,825

    16,8505,034

    10,0104,010

    4,8271,103

    5,5991,241

    9,5741,396

    17,2972,108

    26,9763,000

    49,9379,302

    26,1366,640

    35,2478,307

    49,3467,535

    52,8208,781

    17,7132,497

    16,3501,815

    103,85816,529

    154,23122,543

    184,06131,533

    210,42436,848

    244,94934,549

    350,79741,950

    436,67450,184

    427,14553,026

    565,25891,799

    349,79453,667

    365,47966,210

    405,51868,077

    572,59979,976

    877,281160,855

    56,0368,853

    123,15920,281

    144,56218,654

    160,81813,617

    200,55715,691

    252,13126,207

    236,73533,554

    116,07319,635

    231,89532,002

    196,35225,795

    117,69615,991

    23,232691

    41,5511,765

    55,505744

    32,3121,754

    30,3251,377

    23,377293

    36,1593,303

    81,6526,762

    157,95914,900

    2,4227,009

    86,09227,614

    9,5932,725

    16,5582,582

    16,3703,362

    12,3474,068

    19,2764,127

    14,6424,404

    3,746770

    11,23281

    8,834114

    25,1421,081

    50,1841,034

    34,6922,286

    72,9012,783

    20,505404

    23,0701,193

    3,077534

    21,3501,783

    23,8943,127

    32,0144,555

    37,2524,774

    57,0616,643

    60,3655,723

    61,0697,740

    32,5915,228

    74,3197,309

    109,61015,563

    142,95618,871

    114,85632,917

    117,49416,454

    76,5128,005

    83,3728,231

    46,833632

    129,5777,164

    173,8969,480

    211,99810,451

    323,60012,587

    387,07820,081

    480,05545,835

    645,04351,500

    709,81075,487

    803,39299,234

    1,078,58499,545

    718,72684,166

    385,55321,971

    216,00714,232

    73,6692,577

    2,7354,627

    14,07265

    10,060243

    34,186822

    88,7143,124

    78,7428,974

    121,45311,198

    322,35829,137

    400,17433,867

    586,03536,283

    435,91253,408

    430,52828,419

    97,5865,832

    88,6266,903

    115,65011,971

    145,84315,865

    211,79516,878

    305,26034,037

    408,45641,116

    649,92477,749

    534,03267,907

    462,41077,417

    458,80163,709

    513,14667,618

    959,614176,903

    1,436,799138,080

    1,676,448220,698

    7,8271,128

    16,0913,224

    22,4925,837

    26,8186,992

    30,1348,224

    42,3968,019

    141,81822,416

    166,02130,949

    173,28534,298

    332,98633,984

    400,10843,924

    487,91856,411

    540,95955,900

    642,57854,860

    818,33759,679

    979,00685,869

    1,053,605100,678

    1,671,207161,980

    1,149,758102,257

    1,245,579103,257

    1,518,390146,349

    1,909,858154,506

    2,261,981168,046

    2,737,561215,522

    2,590139

    13,731931

    22,1692,282

    22,1692,282

    24,2433,169

    33,595114

    63741

    6,35259

    27,760162

    17,96579

    24,266128

    26,941306

    5,342490

    7,710550

    8,323651

    9,074711

    10,108937

    15,2671,841

    18,0921,830

    18,4572,595

    19,4223,082

    19,3603,599

    34,5243,370

    98,8633,604

    214,3154,677

    214,5476,067

    202,2167,781

    281856

    2,602387

    17,12477

    106,38213,945

    191,78823,822

    270,14932,505

    3,58713,698

    48,52430,997

    83,79731,431

    136,14834,859

    55,20542,158

    526,551133,593

    852,801217,184

    13,404908

    27,7732,179

    39,9893,911

    43,8116,357

    61,71711,108

    117,78116,495

    189,51024,971

    280,63633,572

    278,68140,574

    284,70053,483

    336,75943,375

    446,10460,568

    518,83364,602

    659,22961,905

    746,59466,430

    1,016555

    589799

    2,5163,192

    102,3283,172

    327,84335,872

    425,86748,312

    434,10257,008

    489,87863,665

    648,80564,473

    739,90673,402

    794,98780,647

    729,05897,773

    681,26991,878

    675,36495,159

    744,14091,322

    941,17574,497

    1,123,13180,241

    1,258,431103,861

    1,324,862133,770

    56,923150

    71,5631,794

    125,5132,808

    67,2241,658

    67,8323,434

    134,5672,321

    122,1682,298

    59,1852,596

    7,113145

    24,076268

    10,841287

    8,825265

    11,790410

    12,752253

    11,891329

    2,3052,272

    20,7233,259

    455,70757,149

    567,49863,361

    634,04577,097

    699,23882,245

    816,70792,420

    970,382106,547

    1,163,042127,474

    1,337,247147,895

    1,890,194206,596

    1,464,300181,430

    1,536,198187,292

    2,135,123276,015

    2,743,820317,588

    3,197,722411,388

    3,555,624485,804

    52,680401

    2,765352

    9,173419

    20,6471,608

    100,69015,610

    162,09410,855

    4,289260

    8,060419

    7,075673

    3,425811

    9,401883

    10,680817

    10,266855

    11,0141,128

    59,00710,910

    74,36114,018

    107,17215,566

    126,28116,481

    133,91217,965

    136,05017,027

    146,82119,110

    151,45421,272

    156,75017,738

    163,99320,367

    166,63320,579

    198,69524,691

    227,2396,029

    29,4201,182

    66,8593,046

    78,9984,443

    79,9124,620

    3,7621,457

    20,2263,703

    66,0009,701

    57,9138,820

    58,1415,754

    137,80412,994

    6,0073,212

    18,4955,292

    37,1145,602

    53,91913,125

    56,37515,821

    1.2 Chart

    6646

    10383

    6422.5562097355

    4949.1746303116

    6245.0891436016

    7247.6407233342

    9685.6276737881

    11210.3930264566

    13343.0756970753

    3216

    4205

    4825

    5034

    4010

    1103

    1241

    1396

    2108

    3000

    9302

    6640

    8307

    7535

    8781

    2497

    1815

    16529

    22543

    31533

    36848

    34549

    41950

    50184

    53026

    91799

    53667

    66210

    68077

    79976

    160855.28880436

    8853

    20281.159936407

    18654

    13616.71175

    15690.94921

    26207.018793729

    33554.24

    19635

    32002

    25794.9831843886

    15991

    691

    1765

    744

    1753.7756879054

    1376.5372249071

    293

    3303

    6762

    14900

    7009

    27613.7265396489

    2725

    2582

    3362

    4068

    4127

    4404

    770

    81

    114

    1081

    1034

    2286

    2783

    403.866577506

    1193

    533.9150167769

    1783

    3127

    4555

    4774

    6643

    5723.0188501024

    7739.5294536331

    5228

    7309

    15563

    18871

    32917

    16454

    8005

    8231

    632

    7164

    9480

    10451

    12586.6255603669

    20081.492

    45835.003

    51500.321

    75486.905

    99234.267

    99544.839

    84166

    21971

    14232

    2577

    4627

    65.1477424012

    243

    822

    3124

    8974

    11198

    29137

    33867

    36283

    53408

    28419

    5832

    6903

    11971

    15865

    16878.1469381481

    34036.7886126259

    41116

    77749

    67907

    77417

    63709

    67618

    176903

    138080

    220698

    1128

    3224

    5837

    6992

    8224

    8019

    22416

    30949

    34298

    33984

    43924

    56411

    55900

    54860

    59679

    85869

    100678

    161980

    102257

    103257

    146349

    154506

    168046

    215522

    139

    931

    2282

    2282

    3169

    114

    41.48876

    59

    162

    79

    128

    306

    490

    550

    651

    711

    937

    1841

    1830

    2595

    3082

    3599

    3370

    3604

    4677

    6067

    7781

    856

    387

    77

    13945

    23822

    32505

    13698

    30997

    31431

    34859

    42158

    133593

    217184

    908

    2179

    3911

    6357

    11108

    16495

    24971

    33572

    40574

    53483

    43375

    60568

    64602

    61905

    66430

    555

    799

    3192.22285562

    3171.594

    35872

    48312

    57008

    63665

    64473

    73402

    80647

    97773

    91878

    95159

    91322

    74497

    80241

    103861

    133769.985956969

    150

    1794

    2808

    1658

    3434

    2321

    2298

    2596

    145.2869073916

    268

    287

    265

    410.2681818182

    253.3

    329

    2272

    3258.5614442194

    57149

    63361

    77097

    82245

    92420

    106547

    127474

    147895

    206596

    181430

    187292

    276015

    317588

    411388

    485804

    401

    352

    419

    1608

    15610

    10855

    260

    419

    673

    811.3

    883

    817

    855.11884

    1128

    10910

    14018

    15566

    16481

    17965

    17027

    19110

    21272

    17738

    20367

    20579

    24691

    6029

    1182

    3046

    4443

    4620

    1457

    3703

    9701.2548720823

    8820

    5754

    12994

    3212

    5292

    5602

    13125

    15821

    Gross Expenses Motor

    Gross Written Premium

    Gross Exenses

    1.3 Investments

    All AssetsAssets Backing Actuarial LiabilitiesAssets after mapping to Actuarial Liabs

    MappedNameFin YearCashNear CashFixed IntPropertyEquityOtherTOTALAssetsCashNear CashFixed IntPropertyEquityOtherTOTALAssetsCashNear CashFixed IntPropertyEquityOtherTOTALAssetsCurrent LiabilityActuarial LiabTotal Liabilities

    1ABSA Insurance Company Limited2004234,072118,414468,9940.0906,1811,2791,728,940133,7960.0468,9940.051,5590.0654,3500.00.00.00.0854,6221,279855,901218690654349.638873039.638

    2Ace Insurance Limited200443,6578,23621,6640.08250.074,3820.00.018,0780.00.00.018,0780.00.02,2170.08250.03,0425326218078.171340.1

    3AECI Captive Insurance Company Limited200419,0928,9292,1400.042,0660.072,22719,0921,4342,1400.01,4260.024,0920.00.00.00.040,6400.040,640749524092.277378556131587.2773785561

    4Aegis Insurance Company Limited20043,174288,8060.00.02,7270.0294,7073,1745,4110.00.00.00.08,5850.0256,1260.00.02,7270.0258,85327269858535854

    5African General Insurance Company Limited20048,461470.00.090.08,5170.00.00.00.00.00.00.08,1710.00.00.090.08,1803370337

    6Agri Risk Specialists Limited200416,69510,2310.06990.02,01129,6360.00.00.00.00.00.00.014,3780.00.00.00.02,01116,38912548012548

    7Aig South Africa Limited2004597,207214,59834,6370.013,19315,070874,705207,6640.00.00.00.00.0207,66454,4260.034,6370.013,19315,070117,326549715207664.27757379.27

    8AIM Insurance Limited20044,1510.00.00.00.00.04,1510.00.00.00.00.00.00.02,9660.00.00.00.00.02,966118501185

    9Alexander Forbes Insurance Company Limited200430,5325,7930.00.00.00.036,32513,0260.00.00.00.00.013,02617,5063,6740.00.00.00.021,180211913025.915144.9

    10Allianz Insurance limited200447,3119,2410.00.020,5800.077,13222,6550.00.00.00.00.022,6553,6300.00.00.020,5800.024,2103026722655.452922.4

    11Attorneys Insurance Indemnity Fund200461,52177037,8040.0147,02479247,19857,7320.037,8040.052,5070.0148,0430.00.00.00.094,5177994,5964559148043.2152602.2

    12AUTO & GENERAL INSURANCE CO LTD2004176,965239,3320.00.0101,62920,755538,681176,96523,6190.00.00.00.0200,5840.0126,4260.0686101,62920,755249,49689287200583.796959924289870.796959924

    13Aviation Insurance Company Limited200428,48720,0600.00.012,62821361,38824,0530.00.00.00.00.024,0538110.00.00.012,62821313,6522368324052.7747735.77

    14Bensure Insurance Underwriters Limited20046,6235420.00.05,2280.012,3931,2710.00.00.00.00.01,2715,3522320.00.05,2280.010,8123101270.921580.92

    15CGU Insurance Limited200423,505159,85241,1960.0700,1490.0924,7020.00.00.00.00.00.00.023,505143,78541,1960.0700,1490.0908,63516067016067

    16Compass Insurance Company Limited200444,19372,4890.00.00.04,113120,79544,1939,5510.00.00.00.053,7450.027,6470.00.00.04,11331,7603529153744.689035.6

    17Constantia Insurance Company Limited2004115,88042,4590.01,63517,4092,223179,60754,9030.00.00.00.00.054,90325,7150.00.00.017,4092,22345,34877721.42654902.7316669123132624.157666912

    18Credit Guarantee Insurance Corporation Of Africa Limited2004178,817133,1373,74310,559522,3834,256852,895138,5140.03,7430.0130,8140.0273,0710.00.00.00.0391,5694,256395,825173440273070.887839222446510.887839222

    19Customer Protection Insurance Company Limited2004339,10338,0280.036,42985,0000.0498,560317,0690.00.00.00.00.0317,06922,03432,3500.00.085,0000.0139,3845678317068.85322746.85

    20DENSECURE (PTY) LTD200447,2573,0760.00.00.019950,53219,0840.00.00.00.00.019,08427,5420.00.00.00.019927,741370719084.322791.3

    21Dial Direct Insurance Limited200429,10623,5960.00.00.02,30255,00422,8400.00.00.00.00.022,8406,2663,1890.00.00.02,30211,7572040722840.40426343247.404263

    22Emerald Insurance Company Limited2004117,80478,7670.00.052,3660.0248,93738,2580.00.00.00.00.038,25879,54648,4760.00.052,3660.0180,3883029138258.1268549.12

    23Enpet Africa Insurance Limited200437,30827,6540.00.00.08565,04717,8570.00.00.00.00.017,85719,45126,7210.069,0100.085115,26793317856.9318789.93

    24Export Credit Insurance Corporation of SA Ltd20041,029,361204,796708,1290.00.07561,943,042871,6760.0171,7340.00.00.01,043,4100.00.0536,3940.00.0756537,1503624811043410.183333331405891.18333333

    25Federated Employers` Mutual Assurance Company Limited2004162,73025,301366,4300.0291,4622,552848,475110,0500.0261,0840.00.00.0371,1340.00.0105,3460.0291,4622,552399,36077981371134.2449115.2

    26Ferrosure (SA) Insurance Company Limited200464,1494970.00.00.00.064,64610,2470.00.00.00.00.010,24747,5860.00.00.00.00.047,586681310247.1517060.15

    27Fidelity Insurance Limited200426,11113,8970.00.01331740,15814,7140.00.00.00.00.014,71411,39711,6190.00.01331723,166227814713.716991.7

    28FNB Credit Guarantee Limited200428,4673,2005,9570.00.00.037,6246,9040.00.00.00.00.06,90421,5621,6385,9570.00.00.029,1581561.66904.28465.8

    29General Accident Insurance Company SA Ltd200480,5165,500165,3000.0172,9740.0424,29022,0000.00.00.00.00.022,00052,6970.0165,3003,720172,9740.0394,691113192200033319

    30Global Insurance Company Limited20040.030,1160.00.00.011,32341,4390.09,7200.00.00.00.09,7200.020,3960.00.00.011,32331,71909720.3000972039720.300097203

    31Guardian National Insurance Company Limited200410,970680,480167,1780.0126,5680.0985,19610,97085,9190.00.00.00.096,8890.0503,004167,1780.0126,5680.0796,7509155796888.7194026767188445.719402677

    32Guardrisk Insurance Company Limited20041,229,497112,356145,3600.0317,6423,1561,808,0111,048,2490.0143,8900.00.00.01,192,1390.00.01,470950317,6423,156323,2182936041192139.11485743.1

    33Hollard Insurance Company Limited,The20041,285,363761,0610.0686935,66717,0242,999,8011,285,36329,5650.00.0153,0150.01,467,9430.00.00.00.0782,65217,024799,6767314961467943.30690742199439.3069074

    34Home Loan Guarantee Company200443,31813,47849,0580.065,076585171,5158,8460.00.00.00.00.08,84634,4727,39149,0580.065,076585156,58260878846.0514933.05

    35Indequity Specialised Insurance Limited20046,7682170.00.00.01,9248,9091,2060.00.00.00.00.01,2065,4310.00.00.00.01,9247,3553481205.91553.9

    36Investec Specialised Insurance Limited200425,8781,2150.00.00.02227,11521,1900.00.00.00.00.021,1904,688900.00.00.0224,800112521190.1322315.13

    37Kagiso Risk Solutions Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.0000

    38Khula Credit Guarantee Limited200435,20519,39036,9090.050,5352,287144,32626,3160.032,8240.00.00.059,1400.00.04,0850.050,5352,28756,9072827959139.5187418.51

    39Kingfisher Insurance Company Limited200472,5219,4500.00.00.00.081,9717,8940.00.00.00.00.07,89457,3110.00.08,4670.00.065,778167667894.3924660.39

    40Lombard Insurance Company Limited200436,99912,6228,7070.015,16636273,85630,9330.03,5510.00.00.034,4840.00.05,1560.015,16636220,6841868834484.253061383353172.2530613833

    41McSure Limited200466,6323,4100.00.038,5060.0108,54841,5020.00.02,1563,9830.047,6410.00.00.00.034,5230.034,5232854047640.676180.6

    42Monarch Insurance Company Limited200488,77913,814208,0100.0146,2170.0456,82035,2720.0208,0100.020,4870.0263,7690.00.00.00.0125,7300.0125,73067321263768.98331089.98

    43Mua Insurance Company Limited20042,7246,35941,9730.01,1676,48858,7110.00.018,5580.00.00.018,5580.00.015,4010.01,1676,48823,0561709718557.735654.7

    44Mutual & Federal Insurance Company Limited20041,417,249529,19634,66669,0103,720,687113,9895,884,7971,320,0510.034,6660.01,460,0890.02,814,8060.00.00.00.02,260,598113,9892,374,5876263942814806.05865123441200.0586512

    45Mutual & Federal Risk Financing Limited2004326,75395,6080.00.0181,5900.0603,951252,4320.00.00.00.00.0252,43274,32116,3600.00.0181,5900.0272,27179248252432.031414868331680.031414868

    46National Insurers Limited200411,2652850.00.00.033211,8821,6580.00.00.00.00.01,6586,9220.00.00.00.03327,25429701657.94627.9

    47Nedcor (SA) Insurance Company Limited2004173,2974,6790.00.029,0690.0207,045104,3980.00.00.00.00.0104,39845,6730.00.00.029,0690.074,74227905104398.3132303.3

    48Nedcor Insurance Company Limited200435,8633,4140.00.00.00.039,2772,3270.00.00.00.00.02,32733,5361,6550.00.00.00.035,19117592326.784085.78

    49Nedinsurance Company Limited2004158,07831,9170.00.0189102190,28690,8930.00.00.00.00.090,89363,7010.00.00.018910263,9923540190893.46126294.46

    50New National Assurance Company Limited200488,02910,8640.03,7204,7461,330108,68955,3590.00.00.00.00.055,35920,5880.00.00.04,7461,33026,6642294655358.7778304.77

    51Old Mutual Health Insurance Limited20042,54367,8130.00.03,8690.074,2251770.00.00.00.00.01772,36666,1680.00.03,8690.072,4031645177.391822.39

    52Outsurance Holdings Limited200414,502162,4460.00.0141,90037318,8850.00.00.00.00.00.00.014,502162,4460.00.0141,90037318,885000

    53Outsurance Insurance Company Limited2004272,42864,560957,49295080,00037,6871,413,1170.00.0607,9600.00.00.0607,9600.00.0343,2080.080,00037,687460,895343312607960.02951272.02

    54Pick 'n Pay Insurance Company Limited2004118,0923,1150.00.00.00.0121,20715,1910.00.00.00.00.015,19189,5520.00.00.00.00.089,5521646415191.1931655.19

    55Rand Mutual Assurance Company Limited200454,25951,014639,7440.01,255,1392,3762,002,5320.00.00.00.0342,8600.0342,8600.00.00.00.0654,2092,376656,5851003087342859.91345946.9

    56Regent Insurance Company Limited2004200,131250,18096,2720.0188,8504,898740,331200,131131,8456,7540.00.00.0338,7300.00.089,5180.0188,8504,898283,266118335338730.44457065.44

    57Relyant Insurance Company Limited200437,956226,2847,2550.016,044923288,46237,95611,0100.00.00.00.048,9660.0136,6357,2550.016,044923160,8577863948965.7127604.7

    58RMB Structured Insurance Limited2004502,877296,48973,2280.057,285269930,148327,9070.00.00.00.00.0327,9078,7980.073,2280.057,285269139,580462661327907.4790568.4

    59SA Eagle Insurance Company Limited2004674,545719,680331,2120.0737,03059,3832,521,850674,545461,89116,7290.00.00.01,153,1650.00.0314,4830.0737,03059,3831,110,8962577891153165.11410954.1

    60SA Eagle Risk Financing Ltd2004233,40743,1840.08,4670.00.0285,058149,5680.00.00.00.00.0149,56883,83925,8350.00.00.00.0109,67417349149568166917

    61Sabsure Limited200475,6505,7660.00.026,1110.0107,52726,1330.00.00.00.00.026,13348,2590.00.00.026,1110.074,370702426132.633156.6

    62Safire Insurance Company Limited200416,6303,2590.02,156171422,7609,3750.00.00.00.00.09,3755,2430.00.00.017145,95852719375.37314646.373

    63Sage Specialised Insurances Limited20047,8013,5530.00.06,491217,8471,8190.00.00.00.00.01,8195,9821,4660.00.06,491213,9412086.8161818.9243905.74

    64Santam Limited20042,532,317987,312674,1860.05,242,50137,8879,474,2041,064,9930.0674,1860.01,041,1670.02,780,3460.00.00.00.04,201,33437,8874,239,2212454636.321692780345.947094185234982.26878418

    65Santam Risk Finance Limited2004869,48722,452122,8020.086,6000.01,101,341674,7870.062,0480.00.00.0736,8340.00.060,7550.086,6000.0147,355217152.363736834.202231635953986.565231635

    66Sasguard Insurance Company Limited200480,7062,2770.00.010,6520.093,63526,6910.00.00.00.00.026,69149,6220.00.00.010,6520.060,274667026690.78506663933360.785066639

    67Shoprite Insurance Company Limited2004180,90411,7100.00.00.00.0192,614119,4100.00.00.00.00.0119,41048,0120.00.00.00.00.048,01225192119410.12144602.12

    68South African Reserve Bank Captive Insurance Company Limited, The200438,00198,0771,4770.02230.0137,7781,9020.00.00.00.00.01,90236,09967,4561,4770.02230.0105,255306211901.732522.7

    69Southern Insurance Association Limited20040.02,7810.00.00.00.02,7810.00.00.00.00.00.00.00.02,7810.00.00.00.02,781000

    70Standard Insurance Limited200491,87517,32737,4930.0332,848985480,52848,1570.037,4930.059,7290.0145,3790.00.00.00.0273,119985274,10461045145379.12206424.12

    71The Lion of Africa Insurance Company Limited2004232,72941,6320.00.011,8581,635287,854143,4550.00.00.00.00.0143,45552,9080.00.00.011,8581,63566,40177998143455.203221453.203

    72TRUCK & GENERAL INSURANCE COMPANY LIMITED20042,78412,3910.00.0219215,2882,0770.00.00.00.00.02,0777076,3040.00.021927,124608720778164

    73Unitrans Insurance Limited200490,51010,1030.00.00.09100,62282,9260.00.00.00.00.082,9267,5841,8540.00.00.099,447824982926.191175.1

    74Westchester Insurance Company (Pty) Limited200457,49191,6880.00.010,1710.0159,3505,5780.00.00.00.00.05,57851,91390,7450.00.010,1710.0152,8299435578.176521.17

    75Xl Insurance Company Limited200425,32122,850129,5440.00.0208177,9240.00.020,7220.00.00.020,7220.00.098,7540.00.020898,96258239.50220722.413108017778961.9151080177

    SUM15,130,3897,315,1235,618,561134,31116,934,386361,93945,494,70810,305,376769,9652,830,9692,1563,317,6370.017,226,1031,296,5691,792,4702,122,07282,83313,358,679361,93919,014,562

    33.3%16.1%12.3%0.3%37.2%0.8%100.0%59.8%4.5%16.4%0.0%19.3%0.0%100.0%6.8%9.4%11.2%0.4%70.3%1.9%100.0%

    1.3.1 Chart

    0.3325747073

    0.1607906279

    0.1234992146

    0.00295223

    0.37222759

    0.0079556302

    Industry Asset Distribution

    1.3.2 Chart

    0.5982418742

    0.0446975824

    0.1643418121

    0.0001251589

    0.1925935724

    0

    Assets Backing Actuarial Liabilities

    1.3.3 Chart

    0.0681882012

    0.0942682541

    0.1116024865

    0.0043562929

    0.7025499286

    0.0190348367

    Shareholders' Fund

    1.4 Reinsurace

    ProcessGross Written PremiumNet Written Premium

    #MappedNameFinYearAccidentEngineeringGuaranteeLiabilityMiscMotorPropertyTransportGross Written Prem TotalAccidentEngineeringGuaranteeLiabilityMiscMotorPropertyTransportNet Written Prem TotalGrossNet

    1ABSA Insurance Company Limited200427,775124,986119,004-5213,978180,698646,7071,5971,114,69319,163.00124,986.00118,419.00(5.00)13,593.00139,625.00585,546.001,134.001,002,461.00100%90%

    2Ace Insurance Limited20046320.00.021,420171,31915,2020.038,590568.000.00.00.00.00.00.00.0568.00100%1%

    3AECI Captive Insurance Company Limited20048560.071517,4500.08,51144,07419771,8030.00.0715.002,000.000.07,764.0010,774.00197.0021,450.00100%30%

    4Aegis Insurance Company Limited20040.00.00.00.00.00.00.00.00.00.00.00.0(2,300.00)0.00.00.00.0(2,300.00)0%0%

    5African General Insurance Company Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    6Agri Risk Specialists Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    7Aig South Africa Limited2004105,39465,548110,462243,695282,18252,820600,75845,4631,506,32273,649.007,457.0025,692.0023,979.001,880.0049,576.0030,596.0024,451.00237,280.00100%16%

    8AIM Insurance Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    9Alexander Forbes Insurance Company Limited200422,8790.00.00.03516,35013,64215253,05814,893.000.00.00.035.0015,732.0013,119.00140.0043,919.00100%83%

    10Allianz Insurance limited200434,6480.05,7660.00.070,6712,95584,0430.0(36.00)0.079.000.00.095.00(15.00)123.00100%0%

    11Attorneys Insurance Indemnity Fund20040.00.00.039,4740.00.00.00.039,4740.00.00.033,252.000.00.00.00.033,252.00100%84%

    12AUTO & GENERAL INSURANCE CO LTD20042,7160.00.00.056,599949,725126,1610.01,135,2011,549.250.00.00.035,532.86571,352.0279,900.780.0688,334.91100%61%

    13Aviation Insurance Company Limited20040.00.00.09,4730.00.00.047,54757,0200.00.00.03,289.000.00.00.018,045.0021,334.00100%37%

    14Bensure Insurance Underwriters Limited20047,4760.00.00.00.00.00.00.07,4767,476.000.00.00.00.00.00.00.07,476.00100%100%

    15CGU Insurance Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    16Compass Insurance Company Limited20046,68336,0740.07,64323,333117,696170,7881,267363,4842,997.008,533.000.02,008.004,311.0034,970.0046,072.00335.0099,226.00100%27%

    17Constantia Insurance Company Limited200411,5670.07,07912,399686,297168,5181,0850.0886,94511,567.000.04,430.002,639.0027,188.0085,389.001,085.000.0132,298.00100%15%

    18Credit Guarantee Insurance Corporation Of Africa Limited20040.00.0678,5560.00.00.00.00.0678,5560.00.0309,855.000.00.00.00.00.0309,855.00100%46%

    19Customer Protection Insurance Company Limited2004112,4410.00.00.0344,6696,50464,3200.0527,93477,193.000.00.00.0236,624.006,504.0044,157.000.0364,478.00100%69%

    20DENSECURE (PTY) LTD20044,7465,6240.01,4991501,92711,9103,15329,0094,582.005,430.000.01,447.00145.001,861.005,604.003,044.0022,113.00100%76%

    21Dial Direct Insurance Limited20040.00.00.00.05,72386,09213,5270.0105,3410.00.00.00.01,764.4526,331.624,082.710.032,178.79100%31%

    22Emerald Insurance Company Limited20040.01100.00.028572,9011,8693,02678,1910.0110.000.00.0222.0052,216.00433.003,026.0056,007.00100%72%

    23Enpet Africa Insurance Limited20042,0360.01,6129,5240.09,3876,8283029,4170.00.01,612.005,400.000.07,114.002,374.0030.0016,530.00100%56%

    24Export Credit Insurance Corporation of SA Ltd20040.00.082,5910.00.00.00.00.082,5910.00.082,591.000.00.00.00.00.082,591.00100%100%

    25Federated Employers` Mutual Assurance Company Limited20040.00.00.00.0115,1630.00.00.0115,1630.00.00.00.099,442.000.00.00.099,442.00100%86%

    26Ferrosure (SA) Insurance Company Limited20041,0432413,9434,4050.02,65046,5264,80063,6081,049.000.02,202.002,322.000.01,523.0019,397.004.0026,497.00100%42%

    27Fidelity Insurance Limited20041150.00.032,8040.07395850.034,24322.000.00.030,636.000.0393.00266.000.031,317.00100%91%

    28FNB Credit Guarantee Limited20040.00.04,3410.00.00.00.00.04,3410.00.03,942.000.00.00.00.00.03,942.00100%91%

    29General Accident Insurance Company SA Ltd20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    30Global Insurance Company Limited200412,084120.01274846,83353,01387112,20411,584.005.000.057.003.0040,846.002,025.0039.0054,559.00100%49%

    31Guardian National Insurance Company Limited200451,039648737-3,576-93327,737-484130,679205,8476,625.00(17.00)1,544.001,343.004,044.004,683.00(990.00)605.0017,837.00100%9%

    32Guardrisk Insurance Company Limited2004110,76139,93620556,925288,420430,528652,734128,4221,707,93161,563.0026,054.0055.0041,221.00156,377.00206,325.00479,064.0090,147.001,060,806.00100%62%

    33Hollard Insurance Company Limited,The200494,090124,836206,19347,284739,7371,676,940529,216111,8963,530,19240,744.0047,245.00100,232.0026,207.00639,668.001,308,572.00312,589.0078,290.002,553,547.00100%72%

    34Home Loan Guarantee Company20040.00.02,5650.00.00.00.00.02,5650.00.00.00.00.00.00.00.00.0100%0%

    35Indequity Specialised Insurance Limited20045,3180.00.090.02,5111,0900.08,9281,179.000.00.08.000.02,268.00984.000.04,439.00100%50%

    36Investec Specialised Insurance Limited20040.00.00.00.015,2070.00.00.015,2070.00.00.00.0892.000.00.00.0892.00100%6%

    37Kagiso Risk Solutions Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    38Khula Credit Guarantee Limited20040.00.09,9030.00.00.00.00.09,9030.00.09,903.000.00.00.00.00.09,903.00100%100%

    39Kingfisher Insurance Company Limited20041,05814,5420.02,4552,9350.037,8095,81764,61649.002,418.000.0120.00358.000.06,288.00967.0010,200.00100%16%

    40Lombard Insurance Company Limited20040.00.036,8060.00.00.00.00.036,8060.00.010,831.000.00.00.00.00.010,831.00100%29%

    41McSure Limited20040.00.00.00.00.042,3960.00.042,3960.00.00.00.00.042,396.000.00.042,396.00100%100%

    42Monarch Insurance Company Limited20040.00.00.00.0337,0750.00.00.0337,0750.00.00.00.0207,992.000.00.00.0207,992.00100%62%

    43Mua Insurance Company Limited20044510.00.00.00.0173,2850.00.0173,73690.000.00.00.00.042,020.000.00.042,110.00100%24%

    44Mutual & Federal Insurance Company Limited200482,287296,5892,682102,95393,7982,739,3792,735,532136,7276,189,94767,296.00206,082.002,070.0092,497.006,892.002,736,530.002,459,343.00107,020.005,677,730.00100%92%

    45Mutual & Federal Risk Financing Limited200441,683355,53810,3610.026,941574,310123,334782,20239,658.0035.005,538.0010,113.000.025,551.00552,724.0050,044.00683,663.00100%87%

    46National Insurers Limited20040.00.00.00.00.00.03,8850.03,8850.00.00.00.00.00.02,589.000.02,589.00100%67%

    47Nedcor (SA) Insurance Company Limited2004675-370.035,3960.01481,0036737,252(419.00)0.00.033,795.000.0(300.00)(25.00)2.0033,053.00100%89%

    48Nedcor Insurance Company Limited20040.00.00.00.00.00.0-6320.0-6320.00.00.00.00.00.06,444.000.06,444.00100%-1020%

    49Nedinsurance Company Limited20040.00.00.00.00.00.0443,1060.0443,1060.00.00.00.0159.000.0185,312.000.0185,471.00100%42%

    50New National Assurance Company Limited20047376,0323733,94533,950202,21647,06017,066311,379141.00829.00135.00469.006,820.0066,949.006,695.002,443.0084,481.00100%27%

    51Old Mutual Health Insurance Limited20049670.00.00.00.00.00.00.0967967.000.00.00.00.00.00.00.0967.00100%100%

    52Outsurance Holdings Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    53Outsurance Insurance Company Limited20041770.0-12000.0932,668526,1881,2161,460,448177.000.0(1.00)200.000.0920,881.00509,631.001,198.001,432,086.00100%98%

    54Pick 'n Pay Insurance Company Limited20042881210.03,45193995723,9720.029,728(113.00)14.000.0(2,215.00)30.00720.0014,871.000.013,307.00100%45%

    55Rand Mutual Assurance Company Limited20048,4320.00.00.0230,8370.00.00.0239,2697,152.000.00.00.0220,877.000.00.00.0228,029.00100%95%

    56Regent Insurance Company Limited200412,96768,3472,43127,28212,586746,59444,09018,972933,2692,824.1220,446.17853.485,078.753,426.48517,476.2814,137.713,553.00567,796.00100%61%

    57Relyant Insurance Company Limited2004127,0630.00.00.0200,8770.0105,6400.0433,5808,156.000.00.00.06,334.000.08,147.000.022,637.00100%5%

    58RMB Structured Insurance Limited20040.00.00.0275,551476,9160.0544,6780.01,297,1450.00.00.00.0439,305.000.076,579.000.0515,884.00100%40%

    59SA Eagle Insurance Company Limited200420,927244,58316,70861,881525,0121,344,320539,22587,5852,840,24112,924.16204,567.0014,252.7451,446.13511,829.971,321,183.00236,751.0055,238.002,408,192.00100%85%

    60SA Eagle Risk Financing Ltd200414,7960.00.014,79614,79659,18529,59314,796147,96214,171.000.00.014,171.0014,171.0056,686.0028,344.0014,171.00141,714.00100%96%

    61Sabsure Limited20047,6905000.01,5001911,8910.025021,8507,382.00400.000.0200.0019.0011,415.000.0150.0019,566.00100%90%

    62Safire Insurance Company Limited20043024530.01,8390.020,72327,38215250,851215.24322.860.0314.000.019,113.0020,322.58108.3340,396.00100%79%

    63Sage Specialised Insurances Limited20040.00.00.0886,8430.00.00.06,9310.00.00.00.06,895.980.00.00.06,895.98100%99%

    64Santam Limited2004240,175363,95483,096621,542515,2923,611,7842,718,429214,3008,368,572192,374.17253,741.5825,955.94248,655.70112,296.893,520,544.282,300,245.37175,012.136,828,826.05100%82%

    65Santam Risk Finance Limited200478,7983,2925,69139,20088,439162,094107,07912,588497,18175,241.743,292.005,361.3532,165.8226,644.84128,948.8233,647.3310,186.05315,487.95100%63%

    66Sasguard Insurance Company Limited2004224700.07,1524,96411,01415,7232,49141,638224.0070.000.05,261.004,964.0010,939.0011,414.002,308.0035,180.00100%84%

    67Shoprite Insurance Company Limited200420,0380.00.00.016,6370.0103,9610.0140,63620,038.000.00.00.016,637.000.0103,961.000.0140,636.00100%100%

    68South African Reserve Bank Captive Insurance Company Limited, The20043,6582460.04,6823,2395975,8252,48220,7293,319.0063.000.04,343.00200.00350.00382.00953.009,610.00100%46%

    69Southern Insurance Association Limited20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    70Standard Insurance Limited200438,4040.00.07264,54779,912460,214205643,35438,001.000.00.021.0021,179.0022,748.00407,288.0058.00489,295.00100%76%

    71The Lion of Africa Insurance Company Limited200410,20896,0247613,456105,841137,804184,57719,913567,8998,638.0020,208.0072.009,202.00(681.00)132,903.0083,407.006,685.00260,434.00100%46%

    72TRUCK & GENERAL INSURANCE COMPANY LIMITED20040.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00.00%0%

    73Unitrans Insurance Limited200423,9470.00.00.00.056,3750.00.080,32223,642.000.00.00.00.039,890.000.00.063,532.00100%79%

    74Westchester Insurance Company (Pty) Limited200410,0820.043,2130.07,1020.032920,7307,784.000.04.001,213.000.06,652.000.0248.0015,901.00100%77%

    75Xl Insurance Company Limited20040.02350.012,4110.00.047,1341,46561,2450.0(140.59)0.0(404.76)0.00.03,997.428.203,460.27100%6%

    SUMAbs1,325,6881,497,6491,381,3101,749,6955,306,45214,227,77112,396,0041,141,02639,025,595866,336932,115726,265680,2282,828,07112,186,6408,709,669649,82527,579,148

    866,336932,115726,265680,2282,828,07112,186,6408,709,669649,82527,579,148

    Relative100%100%100%100%100%100%100%100%

    65.3%62.2%52.6%38.9%53.3%85.7%70.3%57.0%

    1.4.1 Chart

    1325687.9218504866335.679018747

    1497649.16932115.014862554

    1381309.59005726264.507026788

    1749695.017680227.652428584

    5306452.287292452828071.47012715

    14227771.053067712186640.0114419

    12396004.04836988709668.8971504

    1141025.97649824.713303067

    Gross Written Premium

    Net Written Premium

    R(000)

    Reinsurance - Industry GWP vs NWP (Absolute Scale)

    1.4.2 Chart

    0.6534989606

    0.6223854289

    0.5257796748

    0.3887692688

    0.532949571

    0.8565389453

    0.7026190749

    0.5695091351

    Net Written Premium

    Reinsurance - Industry Average Retained Premiums (%)

    1.4.3 Chart

    11146931002461

    38590568

    7180321450

    0-2300

    00

    00

    1506322237280

    00

    5305843919

    84043123

    3947433252

    1135201.25841688334.90725

    5702021334

    74767476

    00

    36348499226

    886945132298

    678556309855

    527934364478

    2900922113

    105341.4856532178.78763

    7819156007

    2941716530

    8259182591

    11516399442

    6360826497

    3424331317

    43413942

    00

    11220454559

    20584717837

    17079311060806

    35301922553547

    25650

    89284439

    15207892

    00

    99039903

    6461610200

    3680610831

    4239642396

    337075207992

    17373642110

    61899475677730

    782202683663

    38852589

    3725233053

    -6326444

    443106185471

    31137984481

    967967

    00

    14604481432086

    2972813307

    239269228029

    933269567796

    43358022637

    1297145515884

    28402412408192

    147962141714

    2185019566

    5085140396

    6930.7196895.98

    8368571.94157046828826.0490178

    497181315487.953461382

    4163835180

    140636140636

    207299610

    00

    643354489295

    567899260434

    00

    8032263532

    2073015901

    61244.6433460.268

    Gross Written Prem Total

    Net Written Prem Total

    R(000)

    Reinsurance - Total GWP vs Total NWP (Per Company; Absolute Scale)

    1.4.4 Chart

    10.8993157757

    10.0147188391

    10.2987340362

    00

    00

    00

    10.1575227607

    00

    10.8277545328

    10.0014635365

    10.842377261

    10.6063549544

    10.3741494213

    11

    00

    10.2729858811

    10.1491614474

    10.4566388036

    10.6903855406

    10.7622806715

    10.3054711772

    10.7162844829

    10.5619199782

    11

    10.8634891415

    10.4165670985

    10.9145518792

    10.9080856945

    00

    10.4862482621

    10.0866517365

    10.6211058878

    10.7233450758

    10

    10.4971998208

    10.0586571973

    00

    11

    10.1578556395

    10.2942726729

    11

    10.617049618

    10.2423792421

    10.91725018

    10.8740235898

    10.6664092664

    10.8872812198

    1-10.1962025316

    10.4185702744

    10.271312452

    11

    00

    10.9805799316

    10.4476251346

    10.9530235843

    10.6083947929

    10.0522095115

    10.3977072725

    10.8478829789

    10.9577729417

    10.8954691076

    10.7943993235

    10.9949876773

    10.8160085253

    10.6345535197

    10.8449012921

    11

    10.4636017174

    00

    10.7605377444

    10.4585921088

    00

    10.7909663604

    10.7670525808

    10.0564991129

    Gross

    Net

    R(000)

    Reinsurance - Total GWP vs Total NWP (Per Company; Absolute Scale)

    2.1 Motor ULR

    Motor

    EPULRFitted Mean ULRFitted Standard DevMeanSD

    6110.41740.98310.5494a-0.22018694720.1240632223

    7340.51850.97640.5345b1.46463521161.4869714591

    18270.44620.94340.4676c-0.0306380557-0.1951094398

    25191.13080.93200.4467

    27090.19410.92940.4421

    30820.87560.92490.4342

    39492.26040.91620.4196

    47462.49020.90990.4092

    50510.41170.90770.4057

    53722.10730.90560.4024

    59830.65950.90190.3966

    69290.77240.89680.3889

    72110.68040.89550.3868

    79190.70340.89230.3821

    85130.48030.88980.3785

    86150.63300.88940.3779

    98460.88540.88490.3713

    100600.92530.88410.3703

    104903.08870.88270.3683

    114150.88600.87990.3643

    116780.92700.87910.3632

    124310.65570.87700.3603

    124780.79410.87690.3602

    125071.02960.87680.3601

    130270.85910.87540.3582

    141320.58530.87270.3545

    144160.66150.87200.3536

    144500.81140.87200.3535

    146320.95130.87150.3529

    150141.21130.87070.3518

    156741.67810.86920.3499

    160330.82570.86850.3489

    162560.72970.86800.3483

    163780.74230.86780.3480

    182110.87800.86420.3434

    183931.49940.86390.3430

    189251.54610.86300.3417

    190730.81720.86270.3414

    190940.61090.86270.3414

    192170.79160.86250.3411

    194110.74840.86210.3407

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    2.1.1 Chart

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    ULR

    Gross Earned Premium (R000)

    Ultimate loss ratio

    Cleaned ULR - Motor

    2.1.2 Chart

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    0.7255477050.2158113504

    0.72354131120.2145788452

    0.72211077630.2137086325

    0.72069287580.2128530754

    0.72036136270.2126540373

    0.71864732960.2116309328

    0.71597895310.2100580108

    0.71536808050.2097012917

    0.71354772520.2086456825

    0.7118191940.2076534953

    0.71027984590.2067781771

    0.70980966810.2065123658

    0.70857696790.2058188851

    0.70584833610.2043013072

    0.70250325930.2024733452

    Fitted Mean ULR

    Fitted Standard Dev

    Net Eanred Premium (R000)

    Ultimate Loss Ratio

    Cleaned ULR - Motor

    2.2 Acc ULR

    Accident

    EPULRFitted Mean ULRFitted Standard DevMeanSD

    664.333981.153717.7033a0.16929418090.3684504252

    672.941111.150817.3396b1.74870010951135.6723918901

    973.466921.101512.0241c-0.1373883947-1.0000035833

    1090.252531.087310.7990

    1250.235841.07049.4749

    1760.057681.02876.8210

    2241.245831.00075.4378

    3951.427720.93833.2406

    4770.845380.91872.7493

    5421.094740.90572.4650

    6370.400530.88952.1516

    8870.731220.85751.6495

    8901.095700.85721.6450

    9111.517280.85501.6154

    13000.751960.82231.2422

    15490.338030.80671.1015

    17372.079410.79681.0224

    19570.141620.78660.9487

    23810.766240.77020.8454

    24260.400240.76860.8365

    30120.125720.75110.7455

    30480.890780.75010.7411

    30812.491640.74930.7370

    31950.536280.74640.7238

    33310.134990.74310.7094

    47280.600160.71610.6087

    48770.214860.71380.6013

    50960.274690.71050.5913

    53120.324890.70750.5822

    60730.545980.69760.5554

    72720.908980.68470.5246

    73520.462760.68400.5229

    74231.109690.68330.5214

    80290.460140.67780.5099

    83410.144320.67510.5046

    96590.528310.66500.4860

    97180.077540.66460.4853

    116410.633210.65250.4660

    119130.404460.65090.4638

    123900.883960.64830.4601

    126581.364110.64690.4582

    127790.691650.64630.4573

    130450.922630.64500.4555

    132220.474040.64410.4543

    148930.042300.63640.4447

    157850.643470.63270.4404

    163020.119280.63060.4381

    166581.032330.62920.4366

    172661.502360.62700.4342

    174910.427140.62620.4334

    181850.496910.62370.4309

    187700.446980.62180.4290

    191030.388370.62070.4279

    199430.685680.61800.4254

    206910.321030.61570.4233

    210490.363020.61470.4224

    241460.429900.60640.4155

    271560.269620.59940.4103

    274010.738400.59880.4099

    275780.489410.59850.4096

    282311.097960.59710.4087

    283560.262320.59680.4085

    284230.343930.59670.4084

    293990.863740.59470.4071

    294820.589450.59460.4070

    303170.388540.59290.4059

    310811.083280.59150.4050

    331370.667520.58780.4027

    331780.348570.58770.4027

    334511.047640.58720.4024

    340181.067220.58630.4018

    343070.796200.58580.4016

    352750.821610.58420.4006

    354930.659560.58380.4004

    357280.435500.58350.4002

    361470.631840.58280.3999

    366950.977210.58200.3994

    367060.361880.58190.3994

    376780.603690.58050.3986

    377710.913330.58030.3985

    380010.289300.58000.3983

    391030.375990.57840.3975

    392010.363510.57820.3974

    397960.461630.57740.3970

    407520.618700.57610.3963

    414680.398350.57510.3958

    447170.599430.57090.3938

    448090.535450.57080.3938

    449210.646040.57060.3937

    457280.127130.56970.3933

    461790.570410.56910.3930

    465140.686080.56870.3929

    467081.105410.56850.3928

    481040.689920.56690.3921

    488380.633540.56610.3917

    508531.700440.56390.3908

    509170.538420.56380.3908

    518352.888540.56280.3904

    518390.659680.56280.3904

    583930.288590.55640.3879

    630560.717110.55240.3865

    643190.360340.55130.3861

    660530.477180.54990.3856

    674230.187390.54890.3853

    685360.341440.54800.3850

    702790.207830.54670.3846

    723300.169060.54520.3842

    730670.114040.54470.3840

    732420.393990.54460.3840

    738600.214180.54410.3838

    748100.700790.54350.3836

    748180.554400.54350.3836

    755460.290210.54300.3835

    791380.444230.54060.3828

    801250.336510.54000.3826

    822610.345840.53860.3823

    837560.322680.53770.3820

    843200.328530.53740.3819

    847720.297310.53710.3818

    866260.241570.53600.3816

    867930.635030.53590.3815

    884650.431030.53500.3813

    892870.143590.53450.3812

    894990.273630.53440.3811

    923240.490000.53280.3808

    943230.410010.53180.3805

    1016680.406200.52800.3796

    1034370.568040.52720.3794

    1066920.771970.52570.3791

    1084310.597140.52490.3789

    1333920.357520.51490.3770

    1370190.626810.51360.3767

    1681760.269930.50410.3752

    1760280.377190.50200.3749

    1838660.546940.50000.3746

    1938330.592140.49760.3743

    2022500.343410.49570.3741

    2702310.309430.48300.3727

    2.2.1 Chart

    4.3339765641

    2.9411072578

    3.4669221894

    0.2525348174

    0.2358372673

    0.0576826512

    1.245830209

    1.4277208067

    0.8453827899

    1.0947444616

    0.400532653

    0.7312165845

    1.0957043971

    1.5172843107

    0.751960357

    0.3380320318

    2.0794074808

    0.1416218709

    0.7662377987

    0.4002378858

    0.1257209955

    0.8907803029

    2.4916357345

    0.5362839027

    0.1349896979

    0.6001648544

    0.2148624567

    0.274687257

    0.3248947595

    0.545981167

    0.908977389

    0.4627642853

    1.109688216

    0.4601438544

    0.1443228371

    0.5283115122

    0.0775392928

    0.6332105355

    0.4044550317

    0.8839602269

    1.3641115585

    0.6916526286

    0.9226328063

    0.4740368311

    0.0423022713

    0.6434736273

    0.1192837976

    1.0323250895

    1.5023643439

    0.4271412065

    0.4969133421

    0.4469823826

    0.3883701775

    0.6856758787

    0.3210280925

    0.3630212645

    0.4299018529

    0.2696226142

    0.7383956836

    0.4894077355

    1.0979630433

    0.2623214589

    0.3439274685

    0.8637353724

    0.5894512561

    0.3885449879

    1.0832766198

    0.6675177268

    0.348570869

    1.0476414756

    1.0672213815

    0.796200189

    0.8216061818

    0.6595557873

    0.4355043095

    0.631841158

    0.977206098

    0.3618816796

    0.603690077

    0.9133299004

    0.2892958993

    0.3759877301

    0.3635121808

    0.4616322665

    0.6186986923

    0.3983479281

    0.5994343481

    0.5354471523

    0.6460384572

    0.1271260921

    0.5704061657

    0.6860801143

    1.105413304

    0.6899241984

    0.6335377373

    1.7004372102

    0.5384193009

    2.8885442445

    0.6596837637

    0.2885860613

    0.7171064727

    0.3603448658

    0.4771789738

    0.1873914955

    0.3414408935

    0.2078304213

    0.1690568602

    0.1140429856

    0.3939861494

    0.2141836323

    0.7007890269

    0.5544014312

    0.290209002

    0.4442317435

    0.3365071123

    0.3458402356

    0.3226847453

    0.3285274769

    0.2973141832

    0.2415730868

    0.6350269053

    0.4310330055

    0.1435928477

    0.2736278066

    0.4900041575

    0.4100050515

    0.4062001695

    0.56803806

    0.7719728994

    0.5971444469

    0.3575233664

    0.6268137053

    0.2699267967

    0.3771942484

    0.5469372575

    0.592136108

    0.343409684

    0.3094307991

    ULR

    Gross Earned Premium (R000)

    Ultimate loss ratio

    Cleaned ULR - Accident

    2.2.2 Chart

    1.153697757717.7033073817

    1.150834424217.3396377646

    1.101452458712.0240850673

    1.08733875110.7990262657

    1.07037474559.4749208786

    1.0287191296.8210149186

    1.00069863365.4377923123

    0.93826968993.2405940021

    0.91870314022.7492976273

    0.90572637342.465046446

    0.88952186512.1515737732

    0.85752959771.6494620508

    0.85719641111.6449549723

    0.85498699821.6154124371

    0.82228125451.2421528104

    0.80671976331.1014755413

    0.79679484351.022352312

    0.78657851920.9487116097

    0.77017423030.8454100014

    0.76862631450.8365388059

    0.75108774650.7455386411

    0.75013483870.7410662061

    0.74925951550.7369983069

    0.74637080410.7238441448

    0.74309034780.7093990591

    0.7161329490.6086526197

    0.71380477280.6013077332

    0.71052582880.59129233

    0.70745340960.582247207

    0.69763596140.5554334478

    0.68472325360.5246160203

    0.68395381340.5229271041

    0.68326579150.5214302674

    0.67775438050.5098845792

    0.67509972660.5045971368

    0.66500824830.4860218592

    0.66459355770.4853078465

    0.65245917170.4660051278

    0.65092840090.4637777314

    0.64833976190.4601108007

    0.6469291160.4581642676

    0.64630701620.4573172361

    0.64496058520.4555075682

    0.6440785810.4543394228

    0.63637928050.444703248

    0.63266039090.4403931599

    0.63061422360.4381126091

    0.62924551190.4366221659

    0.62698579070.4342216374

    0.62617344660.4333766789

    0.62373866430.4308999856

    0.62176631790.42895386

    0.62067318490.4278979658

    0.61801213070.4253937652

    0.61574925070.4233363896

    0.61469685310.4224016244

    0.60637649840.4154822594

    0.59937879910.4102694019

    0.59884734310.4098947275

    0.59846879760.4096296236

    0.59708968240.4086761307

    0.59683014960.4084988407

    0.59669212240.4084048276

    0.59471414510.407078347

    0.59455065370.406970426

    0.59292138480.4059090728

    0.59147534550.4049883074

    0.58777667190.4027214838

    0.58770583180.4026792802

    0.58723453640.4023996411

    0.58627006210.4018335156

    0.58578637360.4015526803

    0.58419676830.4006440405

    0.58384529690.4004460656

    0.5834694350.4002355149

    0.5828071360.3998674153

    0.58195365880.3993984874

    0.58193653730.3993891425

    0.58045784360.3985911921

    0.58031752230.398516401

    0.57997521860.398334625

    0.57836609890.3974927671

    0.57822407140.3974194538

    0.57737899820.3969865269

    0.57605003810.3963169964

    0.5750783210.3958360623

    0.57089476050.3938463191

    0.57078201120.3937944687

    0.57064347940.3937308867

    0.56966263680.3932846319

    0.56912371890.3930423451

    0.56872728950.3928654224

    0.56849891170.3927639989

    0.56688624360.3920580941

    0.56605990750.3917032879

    0.56386276250.39078218

    0.56379428640.3907539861

    0.56282725010.3903590918

    0.56282266280.390357233

    0.55643872930.3878985891

    0.5523738340.386460386

    0.55133087950.3861065268

    0.54993730210.3856430772

    0.54886502750.3852936604

    0.54801242140.3850202145

    0.54670804180.3846092885

    0.54521939630.3841510811

    0.54469615060.3839927098

    0.54457273230.3839555562

    0.54413958910.3838257692

    0.54348201940.3836305264

    0.54347668380.3836289509

    0.54297915480.3834826646

    0.54060177180.3828003175

    0.53997015130.38262359

    0.53863262710.3822555378

    0.53771993690.382009148

    0.53738036720.381918451

    0.53711017350.3818466583

    0.53601829410.3815598886

    0.53592158250.3815347456

    0.53496175240.3812874568

    0.53449728470.3811692469

    0.53437822480.3811390971

    0.53282305660.3807509027

    0.53175461070.380490178

    0.52803963260.3796203797

    0.52719032250.3794293255

    0.52567029440.3790944224

    0.5248795920.378923721

    0.51490068940.3769638519

    0.51362927080.3767385056

    0.50407142640.3752030057

    0.50197913730.3749017909

    0.49999394480.3746267822

    0.49760409340.3743091813

    0.49569250780.3740653793

    0.48295337860.3726528399

    Fitted Mean ULR

    Fitted Standard Dev

    Net Eanred Premium (R000)

    Ultimate Loss Ratio

    Cleaned ULR - Accident

    2.3 Plane1

    Min1.0000.250Const3.8284754429

    MaxWP0.5147902325

    Change50.4957.573WP^2-0.000051479

    Extended5,000.000750.000UPR1.0934084825

    UPR^2-0.000728939

    WP*UPR0

    GUPR

    GWP0.37.815.423.030.538.145.753.360.868.476.083.691.198.7106.3113.8121.4129.0136.6144.1151.7159.3166.9174.4182.0189.6197.2204.7212.3219.9227.4235.0242.6250.2257.7265.3272.9280.5288.0295.6303.2310.8318.3325.9333.5341.0348.6356.2363.8371.3378.9386.5394.1401.6409.2416.8424.4431.9439.5447.1454.6462.2469.8477.4484.9492.5500.1507.7515.2522.8530.4537.9545.5553.1560.7568.2575.8583.4591.0598.5606.1613.7621.3628.8636.4644.0651.5659.1666.7674.3681.8689.4697.0704.6712.1719.7727.3734.9742.4750.0

    11.04.6212.921.029.137.145.052.860.568.275.783.290.697.9105.2112.3119.4126.4133.3140.1146.8153.5160.0166.5172.9179.2185.4191.6197.6203.6209.5215.3221.1226.7232.3237.7243.1248.4253.7258.8263.9268.8273.7278.5283.3287.9292.5296.9301.3305.6309.9314.0318.0322.0325.9329.7333.4337.1340.6344.1347.5350.8354.0357.1360.2363.2366.0368.8371.6374.2376.7379.2381.6383.9386.1388.2390.3392.3394.1395.9397.6399.3400.8402.3403.7405.0406.2407.3408.4409.3410.2411.0411.7412.3412.9413.3413.7414.0414.2414.3414.4

    251.530.538.746.954.962.970.878.686.494.0101.6109.1116.5123.8131.0138.2145.2152.2159.1165.9172.7179.3185.9192.4198.7205.1211.3217.4223.5229.5235.4241.2246.9252.6258.1263.6269.0274.3279.5284.7289.7294.7299.6304.4309.1313.8318.3322.8327.2331.5335.7339.8343.9347.9351.8355.6359.3362.9366.5370.0373.3376.6379.9383.0386.0389.0391.9394.7397.4400.1402.6405.1407.5409.8412.0414.1416.1418.1420.0421.8423.5425.1426.7428.1429.5430.8432.0433.2434.2435.2436.0436.8437.6438.2438.7439.2439.6439.9440.1440.2440.2

    3102.056.164.372.580.588.596.4104.2112.0119.6127.2134.7142.1149.4156.6163.8170.8177.8184.7191.5198.3204.9211.5217.9224.3230.7236.9243.0249.1255.1261.0266.8272.5278.2283.7289.2294.6299.9305.1310.3315.3320.3325.2330.0334.7339.4343.9348.4352.8357.1361.3365.4369.5373.5377.4381.2384.9388.5392.1395.5398.9402.2405.5408.6411.6414.6417.5420.3423.0425.6428.2430.7433.0435.3437.6439.7441.7443.7445.6447.4449.1450.7452.3453.7455.1456.4457.6458.8459.8460.8461.6462.4463.1463.8464.3464.8465.2465.4465.7465.8465.8

    4152.5

    5203.0

    6253.5

    7304.0

    8354.5

    9405.0

    10455.5

    11505.9

    12556.4

    13606.9

    14657.4

    15707.9

    16758.4

    17808.9

    18859.4

    19909.9

    20960.4

    211,010.9

    221,061.4

    231,111.9

    241,162.4

    251,212.9

    261,263.4

    271,313.9

    281,364.4

    291,414.9

    301,465.4

    311,515.8

    321,566.3

    331,616.8

    341,667.3

    351,717.8

    361,768.3

    371,818.8

    381,869.3

    391,919.8

    401,970.3

    412,020.8

    422,071.3

    432,121.8

    442,172.3

    452,222.8

    462,273.3

    472,323.8

    482,374.3

    492,424.8

    502,475.3

    512,525.7

    522,576.2

    532,626.7

    542,677.2

    552,727.7

    562,778.2

    572,828.7

    582,879.2

    592,929.7

    602,980.2

    613,030.7

    623,081.2

    633,131.7

    643,182.2

    653,232.7

    663,283.2

    673,333.7

    683,384.2

    693,434.7

    703,485.2

    713,535.6

    723,586.1

    733,636.6

    743,687.1

    753,737.6

    763,788.1

    773,838.6

    783,889.1

    793,939.6

    803,990.1

    814,040.6

    824,091.1

    834,141.6

    844,192.1

    854,242.6

    864,293.1

    874,343.6

    884,394.1

    894,444.6

    904,495.1

    914,545.5

    924,596.0

    934,646.5

    944,697.0

    954,747.5

    964,798.0

    974,848.5

    984,899.0

    994,949.5

    1005,000.0

    2.3 Plane3

    Min1.0000.250Const3.8284754429

    MaxWP0.5147902325

    Change50.4957.573WP^2-0.000051479

    Extended5,000.000750.000UPR1.0934084825

    UPR^2-0.000728939

    WP*UPR0

    GUPR

    GWP0.37.815.423.030.538.145.753.360.868.476.083.691.198.7106.3113.8121.4129.0136.6144.1151.7159.3166.9174.4182.0189.6197.2204.7212.3219.9227.4235.0242.6250.2257.7265.3272.9280.5288.0295.6303.2310.8318.3325.9333.5341.0348.6356.2363.8371.3378.9386.5394.1401.6409.2416.8424.4431.9439.5447.1454.6462.2469.8477.4484.9492.5500.1507.7515.2522.8530.4537.9545.5553.1560.7568.2575.8583.4591.0598.5606.1613.7621.3628.8636.4644.0651.5659.1666.7674.3681.8689.4697.0704.6712.1719.7727.3734.9742.4750.0

    11.04.6212.921.029.137.145.052.860.568.275.783.290.697.9105.2112.3119.4126.4133.3140.1146.8153.5160.0166.5172.9179.2185.4191.6197.6203.6209.5215.3221.1226.7232.3237.7243.1248.4253.7258.8263.9268.8273.7278.5283.3287.9292.5296.9301.3305.6309.9314.0318.0322.0325.9329.7333.4337.1340.6344.1347.5350.8354.0357.1360.2363.2366.0368.8371.6374.2376.7379.2381.6383.9386.1388.2390.3392.3394.1395.9397.6399.3400.8402.3403.7405.0406.2407.3408.4409.3410.2411.0411.7412.3412.9413.3413.7414.0414.2414.3414.4

    251.530.538.746.954.962.970.878.686.494.0101.6109.1116.5123.8131.0138.2145.2152.2159.1165.9172.7179.3185.9192.4198.7205.1211.3217.4223.5229.5235.4241.2246.9252.6258.1263.6269.0274.3279.5284.7289.7294.7299.6304.4309.1313.8318.3322.8327.2331.5335.7339.8343.9347.9351.8355.6359.3362.9366.5370.0373.3376.6379.9383.0386.0389.0391.9394.7397.4400.1402.6405.1407.5409.8412.0414.1416.1418.1420.0421.8423.5425.1426.7428.1429.5430.8432.0433.2434.2435.2436.0436.8437.6438.2438.7439.2439.6439.9440.1440.2440.2

    3102.056.164.372.580.588.596.4104.2112.0119.6127.2134.7142.1149.4156.6163.8170.8177.8184.7191.5198.3204.9211.5217.9224.3230.7236.9243.0249.1255.1261.0266.8272.5278.2283.7289.2294.6299.9305.1310.3315.3320.3325.2330.0334.7339.4343.9348.4352.8357.1361.3365.4369.5373.5377.4381.2384.9388.5392.1395.5398.9402.2405.5408.6411.6414.6417.5420.3423.0425.6428.2430.7433.0435.3437.6439.7441.7443.7445.6447.4449.1450.7452.3453.7455.1456.4457.6458.8459.8460.8461.6462.4463.1463.8464.3464.8465.2465.4465.7465.8465.8

    4152.581.489.697.8105.9113.8121.7129.6137.3144.9152.5160.0167.4174.7181.9189.1196.2203.1210.0216.9223.6230.2236.8243.3249.7256.0262.2268.4274.4280.4286.3292.1297.8303.5309.0314.5319.9325.2330.4335.6340.7345.6350.5355.3360.0364.7369.2373.7378.1382.4386.6390.8394.8398.8402.7406.5410.2413.9417.4420.9424.3427.6430.8433.9437.0439.9442.8445.6448.3451.0453.5456.0458.4460.7462.9465.0467.1469.0470.9472.7474.4476.1477.6479.1480.5481.8483.0484.1485.1486.1487.0487.8488.5489.1489.7490.1490.5490.8491.0491.1491.2

    5203.0106.5114.7122.9130.9138.9146.8154.6162.4170.0177.6185.1192.5199.8207.0214.2221.2228.2235.1241.9248.7255.3261.9268.4274.7281.1287.3293.4299.5305.5311.4317.2322.9328.6334.1339.6345.0350.3355.5360.7365.7370.7375.6380.4385.1389.8394.3398.8403.2407.5411.7415.8419.9423.9427.8431.6435.3438.9442.5445.9449.3452.6455.9459.0462.0465.0467.9470.7473.4476.1478.6481.1483.5485.8488.0490.1492.1494.1496.0497.8499.5501.1502.7504.1505.5506.8508.0509.2510.2511.2512.0512.8513.6514.2514.7515.2515.6515.9516.1516.2516.2

    6253.5131.3139.5147.7155.7163.7171.6179.4187.2194.8202.4209.9217.3224.6231.8239.0246.0253.0259.9266.7273.5280.1286.7293.2299.6305.9312.1318.2324.3330.3336.2342.0347.7353.4358.9364.4369.8375.1380.3385.5390.5395.5400.4405.2409.9414.6419.1423.6428.0432.3436.5440.7444.7448.7452.6456.4460.1463.7467.3470.8474.1477.4480.7483.8486.9489.8492.