{"text_format":"1","workbook":"xlsx","n_sheets":6,"sheets":["ReadMe","Data","Triangle Di Schnieper","Triangle incurred Chain Ladder","Triangle nb UWY Reporting dvlpt","Summary"],"not_rendered":{"charts":0,"images":0,"macros":1,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":2},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"ReadMe","index":0,"n_rows":55,"n_cols":13,"rows_kept":55,"cut":false,"hidden":false,"merged":[[3,3,3,11],[30,3,30,11]]}
[]
[null,"How to run the macros ?"]
[]
[null,null,null,"Macro Mack1999"]
[]
[null,null,"Delete the sheet \"travail\""]
[]
[null,null,"Select the whole triangle with our mouse - See example below:"]
[]
[null,null,null,357848,1124788,1735330,2218270,2745596,3319994,3466336,3606286,3833515,3901463]
[null,null,null,352118,1236139,2170033,3353322,3799067,4120063,4647867,4914039,5339085]
[null,null,null,290507,1292306,2218525,3235179,3985995,4132918,4628910,4909315]
[null,null,null,310608,1418858,2195047,3757447,4029929,4381982,4588268]
[null,null,null,443160,1136350,2128333,2897821,3402672,3873311]
[null,null,null,396132,1333217,2180715,2985752,3691712]
[null,null,null,440832,1288463,2419861,3483130]
[null,null,null,359480,1421128,2864498]
[null,null,null,376686,1363294]
[null,null,null,344014]
[]
[null,null,"Click on:"]
[null,null,"-> View"]
[null,null,"-> Macro"]
[null,null,"-> View Macro"]
[null,null,"-> Mack1999"]
[null,null,"-> Run"]
[]
[null,null,"In the sheet \"travail\", CoVs and skewness are given"]
[]
[]
[null,null,null,"Macro OverallSkew1"]
[]
[null,null,"Delete the sheet \"travail1\""]
[]
[null,null,"On the sheet \"Summary\", select the correlation matrix as below:"]
[]
[null,null,null,1,1.0949535245043071E-2,2.6384172016761213E-4,4.8778234226012425E-5,2.5554548500495426E-5,2.7409978018500321E-5,2.7347078132516415E-5,3.3745649684038734E-5,1.9663853113923388E-5,8.9700037180104327E-6]
[null,null,null,1.0949535245043071E-2,1,2.5605800462365925E-3,4.7339205175904697E-4,2.4800652049791419E-4,2.6601343690970655E-4,2.6540299443359388E-4,3.2750103802138119E-4,1.9083740768386764E-4,8.7053755260594498E-5]
[null,null,null,2.6384172016761213E-4,2.5605800462365925E-3,1,6.3306354156620406E-2,3.316572080467349E-2,3.5573771855378106E-2,3.5492137853621139E-2,4.3796461352915261E-2,2.5520539418172419E-2,1.1641631583616106E-2]
[null,null,null,4.8778234226012425E-5,4.7339205175904697E-4,6.3306354156620406E-2,1,0.30457680658669195,0.32669110054221456,0.32594141614034483,0.40220402316082648,0.234367419424861,0.10691071640140326]
[null,null,null,2.5554548500495426E-5,2.4800652049791419E-4,3.316572080467349E-2,0.30457680658669195,1,0.17830523437596058,0.17789606298206115,0.21951954766327805,0.12791575155025989,5.8350963076788179E-2]
[null,null,null,2.7409978018500321E-5,2.6601343690970655E-4,3.5573771855378106E-2,0.32669110054221456,0.17830523437596058,1,0.20043058085416066,0.24732661144631504,0.1441191443691501,6.5742418504560599E-2]
[null,null,null,2.7347078132516415E-5,2.6540299443359388E-4,3.5492137853621139E-2,0.32594141614034483,0.17789606298206115,0.20043058085416066,1,0.26895528313107897,0.15672233995259841,7.1491582241056201E-2]
[null,null,null,3.3745649684038734E-5,3.2750103802138119E-4,4.3796461352915261E-2,0.40220402316082648,0.21951954766327805,0.24732661144631504,0.26895528313107897,1,0.24883616339174311,0.11351088201624794]
[null,null,null,1.9663853113923388E-5,1.9083740768386764E-4,2.5520539418172419E-2,0.234367419424861,0.12791575155025989,0.1441191443691501,0.15672233995259841,0.24883616339174311,1,0.19188058220657908]
[null,null,null,8.9700037180104327E-6,8.7053755260594498E-5,1.1641631583616106E-2,0.10691071640140326,5.8350963076788179E-2,6.5742418504560599E-2,7.1491582241056201E-2,0.11351088201624794,0.19188058220657908,1]
[]
[null,null,"Click on:"]
[null,null,"-> View"]
[null,null,"-> Macro"]
[null,null,"-> View Macro"]
[null,null,"-> OverallSkew1"]
[null,null,"-> Run"]
[]
[null,null,"In the sheet \"travail1\", the overall skewness is given."]

{"sheet":"Data","index":1,"n_rows":329,"n_cols":35,"rows_kept":329,"cut":false,"hidden":false,"merged":[[1,2,1,5],[1,15,1,18],[1,26,1,29]]}
[]
[null,null,"Individual claims - Cumulative",null,null,null,null,null,null,null,null,null,null,null,null,"Individual claims - Incremental",null,null,null,null,null,null,null,null,null,null,"IBNER calculation - Article R. Schnieper"]
[]
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[2014,861,"","",26617.072682688577,"","","","","","","","","","",26617.072682688577,"","","","","","","","",null,"","","","","","","","","",""]
[2014,881,"",2894.0734851830248,5737.8540083490107,"","","","","","","","","",2894.0734851830248,2843.7805231659859,"","","","","","","","",null,"",-2843.7805231659859,"","","","","","","",""]
[2014,882,"","",44081.144588162249,"","","","","","","","","","",44081.144588162249,"","","","","","","","",null,"","","","","","","","","",""]
[2014,883,"",3707897.6444286671,3717361.6339646839,"","","","","","","","","",3707897.6444286671,9463.9895360167138,"","","","","","","","",null,"",-9463.9895360167138,"","","","","","","",""]
[2014,886,"","",396730.3012934603,"","","","","","","","","","",396730.3012934603,"","","","","","","","",null,"","","","","","","","","",""]
[2014,1010,"",5683.1047079253985,5683.1047079253985,"","","","","","","","","",5683.1047079253985,0,"","","","","","","","",null,"",0,"","","","","","","",""]
[2014,1011,"",3871.2848357672624,3871.2848357672624,"","","","","","","","","",3871.2848357672624,0,"","","","","","","","",null,"",0,"","","","","","","",""]
[2014,1017,"","",31258.030823248246,"","","","","","","","","","",31258.030823248246,"","","","","","","","",null,"","","","","","","","","",""]
[2014,1020,"","",3813.3524364818122,"","","","","","","","","","",3813.3524364818122,"","","","","","","","",null,"","","","","","","","","",""]
[2014,1117,160.42818263663051,160.42818263663051,11451.516465348053,"","","","","","","","",160.42818263663051,0,11291.088282711422,"","","","","","","","",null,0,-11291.088282711422,"","","","","","","",""]
[2014,1127,"",3004809.0382479592,3032770.3335800017,"","","","","","","","","",3004809.0382479592,27961.2953320425,"","","","","","","","",null,"",-27961.2953320425,"","","","","","","",""]
[2014,1129,1388.4677235336949,16970.373272002616,17187.778924266146,"","","","","","","","",1388.4677235336949,15581.905548468922,217.40565226352919,"","","","","","","","",null,-15581.905548468922,-217.40565226352919,"","","","","","","",""]
[2014,1134,"",17229.795829242405,17488.581766709827,"","","","","","","","","",17229.795829242405,258.78593746742263,"","","","","","","","",null,"",-258.78593746742263,"","","","","","","",""]
[2014,1135,"",7031.4653857999365,7031.4653857999365,"","","","","","","","","",7031.4653857999365,0,"","","","","","","","",null,"",0,"","","","","","","",""]
[2014,1136,"",15662.119639787237,67825.470548042125,"","","","","","","","","",15662.119639787237,52163.350908254884,"","","","","","","","",null,"",-52163.350908254884,"","","","","","","",""]
[2014,1155,"",1463.9071665592533,7919.8682781388961,"","","","","","","","","",1463.9071665592533,6455.9611115796433,"","","","","","","","",null,"",-6455.9611115796433,"","","","","","","",""]
[2014,1156,"","",7423616.7993806424,"","","","","","","","","","",7423616.7993806424,"","","","","","","","",null,"","","","","","","","","",""]
[2014,1157,"",3675.5242557642309,3799.6651113759094,"","","","","","","","","",3675.5242557642309,124.14085561167849,"","","","","","","","",null,"",-124.14085561167849,"","","","","","","",""]
[2014,1158,"",1977.022703087524,1977.022703087524,"","","","","","","","","",1977.022703087524,0,"","","","","","","","",null,"",0,"","","","","","","",""]
[2014,1515,31250.391385979834,31250.391385979834,31250.391385979834,"","","","","","","","",31250.391385979834,0,0,"","","","","","","","",null,0,0,"","","","","","","",""]
[2015,897,"",221808.51460922323,"","","","","","","","","","",221808.51460922323,"","","","","","","","","",null,"","","","","","","","","",""]
[2015,1015,"",45465.792593061742,"","","","","","","","","","",45465.792593061742,"","","","","","","","","",null,"","","","","","","","","",""]
[2015,1021,"",27537.306563645914,"","","","","","","","","","",27537.306563645914,"","","","","","","","","",null,"","","","","","","","","",""]
[2015,1161,"",4629.8172945432352,"","","","","","","","","","",4629.8172945432352,"","","","","","","","","",null,"","","","","","","","","",""]
[2015,1164,200001,4436899.2218238255,"","","","","","","","","",200001,4236898.2218238255,"","","","","","","","","",null,-4236898.2218238255,"","","","","","","","",""]
[2015,1165,"",4436168.7006350337,"","","","","","","","","","",4436168.7006350337,"","","","","","","","","",null,"","","","","","","","","",""]
[2016,1022,15761.43232427658,"","","","","","","","","","",15761.43232427658,{"$f":"IF(AND(C323<>\"\",D323<>\"\"),D323-C323,\"\")","v":""},"","","","","","","","","",null,"","","","","","","","","",""]
[2016,1160,198063.87033945718,"","","","","","","","","","",198063.87033945718,"","","","","","","","","","",null,"","","","","","","","","",""]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Standard deviation",null,{"$f":"_xlfn.STDEV.S(N5:N324)","v":89071.352928759603},732010.13462721475,970351.67279747513,332358.12885980931,177257.38811273003,531209.61346423824,103043.94862727032,408681.66706722358,59555.093942076084,2441.2241224115878,{"$f":"_xlfn.STDEV.S(X5:X324)","v":1596.9146541005027},"Sum",{"$f":"SUM(Z5:Z324)","v":-7383231.6805217629},{"$f":"SUM(AA5:AA324)","v":-17541322.850061506},-4218839.1244343044,-2434632.6349026109,365269.50707271404,702833.3216519889,-3201474.8915672973,660584.68707858678,-13712.153277025303,1056.1522023578173]
[null,null,null,null,null,null,null,null,null,null,null,"Skewness coefficient",null,{"$f":"SKEW(N5:N324)","v":1.8139365038513033},4.7239692427173914,6.2873988288316403,9.0683270257642761,5.0813552812814988,13.611637386487619,-1.047331006128726,9.759971694040523,-0.1898669320522057,6.1359321155108955,{"$f":"SKEW(X5:X324)","v":4.8467775396787554},"di",{"$f":"Z326/SUM('Triangle incurred Chain Ladder'!B4:B13)","v":-5.8883492988155623},{"$f":"AA326/SUM('Triangle incurred Chain Ladder'!C4:C12)","v":-1.0912398068961244},{"$f":"AB326/SUM('Triangle incurred Chain Ladder'!D4:D11)","v":-0.11179380997002267},{"$f":"AC326/SUM('Triangle incurred Chain Ladder'!E4:E10)","v":-5.4661228299108106E-2},{"$f":"AD326/SUM('Triangle incurred Chain Ladder'!F4:F9)","v":8.3988728292371372E-3},{"$f":"AE326/SUM('Triangle incurred Chain Ladder'!G4:G8)","v":1.4754533715275193E-2},{"$f":"AF326/SUM('Triangle incurred Chain Ladder'!H4:H7)","v":-0.15841173872260608},{"$f":"AG326/SUM('Triangle incurred Chain Ladder'!I4:I6)","v":4.2834880950933671E-2},{"$f":"AH326/SUM('Triangle incurred Chain Ladder'!J4:J5)","v":-1.0126187129013895E-3},{"$f":"AI326/SUM('Triangle incurred Chain Ladder'!K4:K4)","v":6.1519908865986708E-4}]
[null,null,null,null,null,null,null,null,null,null,null,"Skewness",null,{"$f":"N327*N326^3","v":1281847107173950.8},1.8529271417732687E+18,5.7445827064655493E+18,3.3292475534038624E+17,2.8300401588665276E+16,2.0403663335167749E+18,-1145912450844342,6.6619907737517261E+17,-40105697616027.484,89269582622.772202,{"$f":"X327*X326^3","v":19737775517.217064},"1-di",{"$f":"1-Z327","v":6.8883492988155623},{"$f":"1-AA327","v":2.0912398068961244},1.1117938099700226,1.0546612282991081,0.99160112717076287,0.98524546628472476,1.1584117387226061,0.95716511904906632,1.0010126187129014,0.99938480091134019]
[null,null,null,null,null,null,null,null,null,null,null,"Mean",null,{"$f":"AVERAGE(N5:N324)","v":61154.021504727854},187447.74177564535,190389.07083212797,54385.61729413877,16022.709441234603,42248.77122158563,2740.4050470384418,24940.774468841984,-2706.5316664412599,422.88994522806473,{"$f":"AVERAGE(X5:X324)","v":272.57512173690361},"IBNER factor",{"$f":"PRODUCT(Z328:$AI328)","v":18.304581069249906},{"$f":"PRODUCT(AA328:$AI328)","v":2.6573247486734357},{"$f":"PRODUCT(AB328:$AI328)","v":1.27069346131925},{"$f":"PRODUCT(AC328:$AI328)","v":1.1429218708759603},{"$f":"PRODUCT(AD328:$AI328)","v":1.0836862493932702},{"$f":"PRODUCT(AE328:$AI328)","v":1.0928650842554453},{"$f":"PRODUCT(AF328:$AI328)","v":1.1092312744929897},{"$f":"PRODUCT(AG328:$AI328)","v":0.95754491897341432},{"$f":"PRODUCT(AH328:$AI328)","v":1.0003967966621323},{"$f":"PRODUCT(AI328:$AI328)","v":0.99938480091134019}]

{"sheet":"Triangle Di Schnieper","index":2,"n_rows":96,"n_cols":21,"rows_kept":96,"cut":false,"hidden":false,"merged":[[81,0,81,11],[0,2,0,4],[17,2,17,4],[32,0,32,9],[48,0,48,9],[48,11,48,20],[64,0,64,11]]}
[null,null,"Triangle Di - Article R. Schnieper"]
[]
[]
["Étiquettes de lignes","Somme de X13","Somme de X2-X12","Somme de X3-X22","Somme de X4-X32","Somme de X5-X42","Somme de X6-X52","Somme de X7-X62","Somme de X8-X72","Somme de X9-X82","Somme de X10-X92","Somme de X11-X102"]
[2006,null,79920.609603253804,12874.043346703413,-196394.33498642314,37363.214440253338,957.15782775449827,14654.66885001554,4336.0172695955962,-3787.5693357009254,-1673.9916914405549,1056.1522023578173]
[2007,null,-556246.52610617422,-7540494.1416994929,-59633.447317216487,1125810.8195403921,-3548.8369210631258,-401807.34397809173,-105973.63716762472,370704.33006941504,-12038.161585584749,0]
[2008,null,-1093819.9098224207,72297.087829151948,72633.223068962034,-65721.123890481147,-118782.42698766029,-172389.63153964514,1313796.3622634981,293667.92634487251,0,0]
[2009,null,-1165668.1217269464,-1580992.365233782,1208.6226378398405,-19675.370684792484,-12787.78136754761,470452.78079294314,-4413633.6339327665,0,0,0]
[2010,null,-351397.2439229372,-7246634.9111130247,-3744250.8616000596,-1385485.7965199256,484652.90312548942,791922.84752676706,0,0,0,0]
[2011,null,-50217.229346835637,-197062.78574740916,-125910.34026897402,-2082776.0698139097,14778.491395741097,0,0,0,0,0]
[2012,null,6676.8681725911938,-122379.32870153726,-196807.50121868972,-44148.307974146956,0,0,0,0,0,0]
[2013,null,0,-828150.65060300264,30315.515250258384,0,0,0,0,0,0,0]
[2014,null,-15581.905548468922,-110779.79813911379,0,0,0,0,0,0,0,0]
[2015,null,-4236898.2218238255,0,0,0,0,0,0,0,0,0]
[2016,null,0,0,0,0,0,0,0,0,0,0]
["Total général",null,-7383231.6805217639,-17541322.85006151,-4218839.1244343035,-2434632.6349026109,365269.50707271404,702833.3216519889,-3201474.8915672973,660584.68707858655,-13712.153277025303,1056.1522023578173]
[]
[null,null,"Triangle Di - Article R. Schnieper"]
[]
["UWY","Somme de X2-X12","Somme de X3-X22","Somme de X4-X32","Somme de X5-X42","Somme de X6-X52","Somme de X7-X62","Somme de X8-X72","Somme de X9-X82","Somme de X10-X92","Somme de X11-X102"]
[2006,79920.609603253804,12874.043346703413,-196394.33498642314,37363.214440253338,957.15782775449827,14654.66885001554,4336.0172695955962,-3787.5693357009254,-1673.9916914405549,1056.1522023578173]
[2007,-556246.52610617422,-7540494.1416994929,-59633.447317216487,1125810.8195403921,-3548.8369210631258,-401807.34397809173,-105973.63716762472,370704.33006941504,-12038.161585584749]
[2008,-1093819.9098224207,72297.087829151948,72633.223068962034,-65721.123890481147,-118782.42698766029,-172389.63153964514,1313796.3622634981,293667.92634487251]
[2009,-1165668.1217269464,-1580992.365233782,1208.6226378398405,-19675.370684792484,-12787.78136754761,470452.78079294314,-4413633.6339327665]
[2010,-351397.2439229372,-7246634.9111130247,-3744250.8616000596,-1385485.7965199256,484652.90312548942,791922.84752676706]
[2011,-50217.229346835637,-197062.78574740916,-125910.34026897402,-2082776.0698139097,14778.491395741097]
[2012,6676.8681725911938,-122379.32870153726,-196807.50121868972,-44148.307974146956]
[2013,0,-828150.65060300264,30315.515250258384]
[2014,-15581.905548468922,-110779.79813911379]
[2015,-4236898.2218238255]
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[]
["t2 k"]
[{"$f":"A21","v":2006},{"$f":"(B21-B$31*'Triangle incurred Chain Ladder'!B4)^2/'Triangle incurred Chain Ladder'!B4","v":6573336.2608262841},{"$f":"(C21-C$31*'Triangle incurred Chain Ladder'!C4)^2/'Triangle incurred Chain Ladder'!C4","v":673268.87696691009},{"$f":"(D21-D$31*'Triangle incurred Chain Ladder'!D4)^2/'Triangle incurred Chain Ladder'!D4","v":736.82256386006793},{"$f":"(E21-E$31*'Triangle incurred Chain Ladder'!E4)^2/'Triangle incurred Chain Ladder'!E4","v":9885.2929848473468},{"$f":"(F21-F$31*'Triangle incurred Chain Ladder'!F4)^2/'Triangle incurred Chain Ladder'!F4","v":105.56616200613723},{"$f":"(G21-G$31*'Triangle incurred Chain Ladder'!G4)^2/'Triangle incurred Chain Ladder'!G4","v":65.286423803401149},{"$f":"(H21-H$31*'Triangle incurred Chain Ladder'!H4)^2/'Triangle incurred Chain Ladder'!H4","v":43907.640135825466},{"$f":"(I21-I$31*'Triangle incurred Chain Ladder'!I4)^2/'Triangle incurred Chain Ladder'!I4","v":3471.470131267919},{"$f":"(J21-J$31*'Triangle incurred Chain Ladder'!J4)^2/'Triangle incurred Chain Ladder'!J4","v":2.2952080559360149E-3}]
[{"$f":"A22","v":2007},{"$f":"(B22-B$31*'Triangle incurred Chain Ladder'!B5)^2/'Triangle incurred Chain Ladder'!B5","v":31514639.975336641},{"$f":"(C22-C$31*'Triangle incurred Chain Ladder'!C5)^2/'Triangle incurred Chain Ladder'!C5","v":51868169.474677481},{"$f":"(D22-D$31*'Triangle incurred Chain Ladder'!D5)^2/'Triangle incurred Chain Ladder'!D5","v":92634.755756847619},{"$f":"(E22-E$31*'Triangle incurred Chain Ladder'!E5)^2/'Triangle incurred Chain Ladder'!E5","v":266297.20631468028},{"$f":"(F22-F$31*'Triangle incurred Chain Ladder'!F5)^2/'Triangle incurred Chain Ladder'!F5","v":833.11368228354172},{"$f":"(G22-G$31*'Triangle incurred Chain Ladder'!G5)^2/'Triangle incurred Chain Ladder'!G5","v":28990.4704729199},{"$f":"(H22-H$31*'Triangle incurred Chain Ladder'!H5)^2/'Triangle incurred Chain Ladder'!H5","v":260904.59339409615},{"$f":"(I22-I$31*'Triangle incurred Chain Ladder'!I5)^2/'Triangle incurred Chain Ladder'!I5","v":1546.497861495907},{"$f":"(J22-J$31*'Triangle incurred Chain Ladder'!J5)^2/'Triangle incurred Chain Ladder'!J5","v":3.3286213522732414E-4}]
[2008,{"$f":"(B23-B$31*'Triangle incurred Chain Ladder'!B6)^2/'Triangle incurred Chain Ladder'!B6","v":2550013.3293131352},{"$f":"(C23-C$31*'Triangle incurred Chain Ladder'!C6)^2/'Triangle incurred Chain Ladder'!C6","v":1971701.5065987771},{"$f":"(D23-D$31*'Triangle incurred Chain Ladder'!D6)^2/'Triangle incurred Chain Ladder'!D6","v":44207.543946961057},{"$f":"(E23-E$31*'Triangle incurred Chain Ladder'!E6)^2/'Triangle incurred Chain Ladder'!E6","v":872.68820321784165},{"$f":"(F23-F$31*'Triangle incurred Chain Ladder'!F6)^2/'Triangle incurred Chain Ladder'!F6","v":9090.8317995505058},{"$f":"(G23-G$31*'Triangle incurred Chain Ladder'!G6)^2/'Triangle incurred Chain Ladder'!G6","v":18886.500289619853},{"$f":"(H23-H$31*'Triangle incurred Chain Ladder'!H6)^2/'Triangle incurred Chain Ladder'!H6","v":1034932.1374942851},{"$f":"(I23-I$31*'Triangle incurred Chain Ladder'!I6)^2/'Triangle incurred Chain Ladder'!I6","v":23675.563501698824}]
[2009,{"$f":"(B24-B$31*'Triangle incurred Chain Ladder'!B7)^2/'Triangle incurred Chain Ladder'!B7","v":3130186.8226401289},{"$f":"(C24-C$31*'Triangle incurred Chain Ladder'!C7)^2/'Triangle incurred Chain Ladder'!C7","v":14706.209546345654},{"$f":"(D24-D$31*'Triangle incurred Chain Ladder'!D7)^2/'Triangle incurred Chain Ladder'!D7","v":36729.737397398909},{"$f":"(E24-E$31*'Triangle incurred Chain Ladder'!E7)^2/'Triangle incurred Chain Ladder'!E7","v":6908.0064061788034},{"$f":"(F24-F$31*'Triangle incurred Chain Ladder'!F7)^2/'Triangle incurred Chain Ladder'!F7","v":486.63999897519608},{"$f":"(G24-G$31*'Triangle incurred Chain Ladder'!G7)^2/'Triangle incurred Chain Ladder'!G7","v":41205.660895545894},{"$f":"(H24-H$31*'Triangle incurred Chain Ladder'!H7)^2/'Triangle incurred Chain Ladder'!H7","v":4086030.695380196}]
[2010,{"$f":"(B25-B$31*'Triangle incurred Chain Ladder'!B8)^2/'Triangle incurred Chain Ladder'!B8","v":3500336.6084528365},{"$f":"(C25-C$31*'Triangle incurred Chain Ladder'!C8)^2/'Triangle incurred Chain Ladder'!C8","v":44355173.264771022},{"$f":"(D25-D$31*'Triangle incurred Chain Ladder'!D8)^2/'Triangle incurred Chain Ladder'!D8","v":223853.11955023088},{"$f":"(E25-E$31*'Triangle incurred Chain Ladder'!E8)^2/'Triangle incurred Chain Ladder'!E8","v":3934.3149048931409},{"$f":"(F25-F$31*'Triangle incurred Chain Ladder'!F8)^2/'Triangle incurred Chain Ladder'!F8","v":4288.9501718673991},{"$f":"(G25-G$31*'Triangle incurred Chain Ladder'!G8)^2/'Triangle incurred Chain Ladder'!G8","v":4749.6422527113436}]
[2011,{"$f":"(B26-B$31*'Triangle incurred Chain Ladder'!B9)^2/'Triangle incurred Chain Ladder'!B9","v":532877.42441319861},{"$f":"(C26-C$31*'Triangle incurred Chain Ladder'!C9)^2/'Triangle incurred Chain Ladder'!C9","v":166088.93459265804},{"$f":"(D26-D$31*'Triangle incurred Chain Ladder'!D9)^2/'Triangle incurred Chain Ladder'!D9","v":398.5970327454574},{"$f":"(E26-E$31*'Triangle incurred Chain Ladder'!E9)^2/'Triangle incurred Chain Ladder'!E9","v":1867473.3157023368},{"$f":"(F26-F$31*'Triangle incurred Chain Ladder'!F9)^2/'Triangle incurred Chain Ladder'!F9","v":97.753523423642122}]
[2012,{"$f":"(B27-B$31*'Triangle incurred Chain Ladder'!B10)^2/'Triangle incurred Chain Ladder'!B10","v":2577649.6423643492},{"$f":"(C27-C$31*'Triangle incurred Chain Ladder'!C10)^2/'Triangle incurred Chain Ladder'!C10","v":72590.844158730746},{"$f":"(D27-D$31*'Triangle incurred Chain Ladder'!D10)^2/'Triangle incurred Chain Ladder'!D10","v":13208.604759047455},{"$f":"(E27-E$31*'Triangle incurred Chain Ladder'!E10)^2/'Triangle incurred Chain Ladder'!E10","v":7484.5767116124734}]
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[2015,{"$f":"(B30-B$31*'Triangle incurred Chain Ladder'!B13)^2/'Triangle incurred Chain Ladder'!B13","v":46793976.748421177}]
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[]
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[]
[]
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[2012,{"$f":"(B27-B$31*'Triangle incurred Chain Ladder'!B10)^3/'Triangle incurred Chain Ladder'!B10^1.5","v":4138432068.1242943},{"$f":"(C27-C$31*'Triangle incurred Chain Ladder'!C10)^3/'Triangle incurred Chain Ladder'!C10^1.5","v":19557924.724558499},{"$f":"(D27-D$31*'Triangle incurred Chain Ladder'!D10)^3/'Triangle incurred Chain Ladder'!D10^1.5","v":-1518047.6976514226},{"$f":"(E27-E$31*'Triangle incurred Chain Ladder'!E10)^3/'Triangle incurred Chain Ladder'!E10^1.5","v":647516.53929980868},null,null,null,null,null,null,{"$f":"'Triangle incurred Chain Ladder'!B10^1.5","v":19342478.843057614},{"$f":"'Triangle incurred Chain Ladder'!C10^1.5","v":110843062.46889058},{"$f":"'Triangle incurred Chain Ladder'!D10^1.5","v":750810669.65091038},{"$f":"'Triangle incurred Chain Ladder'!E10^1.5","v":7866650977.4305}]
[2013,{"$f":"(B28-B$31*'Triangle incurred Chain Ladder'!B11)^3/'Triangle incurred Chain Ladder'!B11^1.5","v":41333599303.176414},{"$f":"(C28-C$31*'Triangle incurred Chain Ladder'!C11)^3/'Triangle incurred Chain Ladder'!C11^1.5","v":4042961378.3310561},{"$f":"(D28-D$31*'Triangle incurred Chain Ladder'!D11)^3/'Triangle incurred Chain Ladder'!D11^1.5","v":15218107.533443097},null,null,null,null,null,null,null,{"$f":"'Triangle incurred Chain Ladder'!B11^1.5","v":202452214.33535388},{"$f":"'Triangle incurred Chain Ladder'!C11^1.5","v":6502212562.6722679},{"$f":"'Triangle incurred Chain Ladder'!D11^1.5","v":9086486872.3713036}]
[2014,{"$f":"(B29-B$31*'Triangle incurred Chain Ladder'!B12)^3/'Triangle incurred Chain Ladder'!B12^1.5","v":942276361.60108018},{"$f":"(C29-C$31*'Triangle incurred Chain Ladder'!C12)^3/'Triangle incurred Chain Ladder'!C12^1.5","v":22128619954.753513},null,null,null,null,null,null,null,null,{"$f":"'Triangle incurred Chain Ladder'!B12^1.5","v":5940139.036347772},{"$f":"'Triangle incurred Chain Ladder'!C12^1.5","v":17812775539.847843}]
[2015,{"$f":"(B30-B$31*'Triangle incurred Chain Ladder'!B13)^3/'Triangle incurred Chain Ladder'!B13^1.5","v":-320099453285.72137},null,null,null,null,null,null,null,null,null,{"$f":"'Triangle incurred Chain Ladder'!B13^1.5","v":89443389.921223342}]
["n-j",9,8,7,6,5,4,3,2,1]
[]
["SK(di)",{"$f":"SUM(B50:B59)/B60/SUM(L50:L59)","v":-89.23956978061338},{"$f":"SUM(C50:C59)/C60/SUM(M50:M59)","v":-2.65462932565773},-6.0949656116634475E-5,-2.650556986903922E-3,-8.024145414382116E-7,1.4245349904067401E-6,-4.2957008765656127E-2,3.7163771919347232E-5,2.4207286938770392E-15]
[]
[]
["mse (IBNERi)"]
[]
[null,{"$f":"'Triangle incurred Chain Ladder'!B3","v":"N"},{"$f":"'Triangle incurred Chain Ladder'!C3","v":"N+1"},{"$f":"'Triangle incurred Chain Ladder'!D3","v":"N+2"},{"$f":"'Triangle incurred Chain Ladder'!E3","v":"N+3"},{"$f":"'Triangle incurred Chain Ladder'!F3","v":"N+4"},{"$f":"'Triangle incurred Chain Ladder'!G3","v":"N+5"},{"$f":"'Triangle incurred Chain Ladder'!H3","v":"N+6"},{"$f":"'Triangle incurred Chain Ladder'!I3","v":"N+7"},{"$f":"'Triangle incurred Chain Ladder'!J3","v":"N+8"},{"$f":"'Triangle incurred Chain Ladder'!K3","v":"N+9"},{"$f":"'Triangle incurred Chain Ladder'!L3","v":"N+10"},"Total"]
[{"$f":"'Triangle incurred Chain Ladder'!A5","v":2007},null,null,null,null,null,null,null,null,null,null,0,{"$f":"SUM(B68:L68)","v":0}]
[{"$f":"'Triangle incurred Chain Ladder'!A6","v":2008},null,null,null,null,null,null,null,null,null,{"$f":"PRODUCT(L$78:$L$78)^2*L$79/L$78^2","v":0},0,{"$f":"SUM(B69:L69)","v":0}]
[{"$f":"'Triangle incurred Chain Ladder'!A7","v":2009},null,null,null,null,null,null,null,null,{"$f":"PRODUCT(K$78:$L$78)^2*K$79/K$78^2","v":1.9383970056262799E-10},{"$f":"PRODUCT(L$78:$L$78)^2*L$79/L$78^2","v":0},0,1.9383970056262799E-10]
[{"$f":"'Triangle incurred Chain Ladder'!A8","v":2010},null,null,null,null,null,null,null,{"$f":"PRODUCT(J$78:$L$78)^2*J$79/J$78^2","v":9.3103853000681244E-4},{"$f":"PRODUCT(K$78:$L$78)^2*K$79/K$78^2","v":1.9383970056262799E-10},{"$f":"PRODUCT(L$78:$L$78)^2*L$79/L$78^2","v":0},0,9.3103872384651303E-4]
[{"$f":"'Triangle incurred Chain Ladder'!A9","v":2011},null,null,null,null,null,null,{"$f":"PRODUCT(I$78:$L$78)^2*I$79/I$78^2","v":8.2053309748123873E-2},{"$f":"PRODUCT(J$78:$L$78)^2*J$79/J$78^2","v":9.3103853000681244E-4},{"$f":"PRODUCT(K$78:$L$78)^2*K$79/K$78^2","v":1.9383970056262799E-10},{"$f":"PRODUCT(L$78:$L$78)^2*L$79/L$78^2","v":0},0,8.2984348471970379E-2]
[{"$f":"'Triangle incurred Chain Ladder'!A10","v":2012},null,null,null,null,null,{"$f":"PRODUCT(H$78:$L$78)^2*H$79/H$78^2","v":6.0633365490350591E-4},{"$f":"PRODUCT(I$78:$L$78)^2*I$79/I$78^2","v":8.2053309748123873E-2},{"$f":"PRODUCT(J$78:$L$78)^2*J$79/J$78^2","v":9.3103853000681244E-4},{"$f":"PRODUCT(K$78:$L$78)^2*K$79/K$78^2","v":1.9383970056262799E-10},{"$f":"PRODUCT(L$78:$L$78)^2*L$79/L$78^2","v":0},0,8.3590682126873886E-2]
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[{"$f":"'Triangle incurred Chain Ladder'!A12","v":2014},null,null,null,{"$f":"PRODUCT(F$78:$L$78)^2*F$79/F$78^2","v":9.504500719942308E-3},{"$f":"PRODUCT(G$78:$L$78)^2*G$79/G$78^2","v":8.1854049607241051E-5},{"$f":"PRODUCT(H$78:$L$78)^2*H$79/H$78^2","v":6.0633365490350591E-4},{"$f":"PRODUCT(I$78:$L$78)^2*I$79/I$78^2","v":8.2053309748123873E-2},{"$f":"PRODUCT(J$78:$L$78)^2*J$79/J$78^2","v":9.3103853000681244E-4},{"$f":"PRODUCT(K$78:$L$78)^2*K$79/K$78^2","v":1.9383970056262799E-10},{"$f":"PRODUCT(L$78:$L$78)^2*L$79/L$78^2","v":0},0,9.3177036896423426E-2]
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[]
[]
["SK (IBNERi)"]
[]
[null,{"$f":"B67","v":"N"},{"$f":"C67","v":"N+1"},"N+2","N+3","N+4","N+5","N+6","N+7","N+8","N+9","N+10","Total"]
[{"$f":"A68","v":2007},null,null,null,null,null,null,null,null,null,null,0,{"$f":"SUM(B85:L85)","v":0}]
[{"$f":"A69","v":2008},null,null,null,null,null,null,null,null,null,{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,{"$f":"SUM(B86:L86)","v":0}]
[2009,null,null,null,null,null,null,null,null,{"$f":"PRODUCT(K$95:$L$95)^3*K$96/K$95^3","v":2.4162637515732897E-15},{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,2.4162637515732897E-15]
[2010,null,null,null,null,null,null,null,{"$f":"PRODUCT(J$95:$L$95)^3*J$96/J$95^3","v":3.7208028857657631E-5},{"$f":"PRODUCT(K$95:$L$95)^3*K$96/K$95^3","v":2.4162637515732897E-15},{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,3.7208028860073897E-5]
[2011,null,null,null,null,null,null,{"$f":"PRODUCT(I$95:$L$95)^3*I$96/I$95^3","v":-3.7714773232669613E-2},{"$f":"PRODUCT(J$95:$L$95)^3*J$96/J$95^3","v":3.7208028857657631E-5},{"$f":"PRODUCT(K$95:$L$95)^3*K$96/K$95^3","v":2.4162637515732897E-15},{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,-3.7677565203809542E-2]
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[2013,null,null,null,null,{"$f":"PRODUCT(G$95:$L$95)^3*G$96/G$95^3","v":-1.0473659320420814E-6},{"$f":"PRODUCT(H$95:$L$95)^3*H$96/H$95^3","v":1.9441932852220442E-6},{"$f":"PRODUCT(I$95:$L$95)^3*I$96/I$95^3","v":-3.7714773232669613E-2},{"$f":"PRODUCT(J$95:$L$95)^3*J$96/J$95^3","v":3.7208028857657631E-5},{"$f":"PRODUCT(K$95:$L$95)^3*K$96/K$95^3","v":2.4162637515732897E-15},{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,-3.7676668376456363E-2]
[2014,null,null,null,{"$f":"PRODUCT(F$95:$L$95)^3*F$96/F$95^3","v":-3.3732446034811917E-3},{"$f":"PRODUCT(G$95:$L$95)^3*G$96/G$95^3","v":-1.0473659320420814E-6},{"$f":"PRODUCT(H$95:$L$95)^3*H$96/H$95^3","v":1.9441932852220442E-6},{"$f":"PRODUCT(I$95:$L$95)^3*I$96/I$95^3","v":-3.7714773232669613E-2},{"$f":"PRODUCT(J$95:$L$95)^3*J$96/J$95^3","v":3.7208028857657631E-5},{"$f":"PRODUCT(K$95:$L$95)^3*K$96/K$95^3","v":2.4162637515732897E-15},{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,-4.1049912979937556E-2]
[2015,null,null,{"$f":"PRODUCT(E$95:$L$95)^3*E$96/E$95^3","v":-9.0995704123276617E-5},{"$f":"PRODUCT(F$95:$L$95)^3*F$96/F$95^3","v":-3.3732446034811917E-3},{"$f":"PRODUCT(G$95:$L$95)^3*G$96/G$95^3","v":-1.0473659320420814E-6},{"$f":"PRODUCT(H$95:$L$95)^3*H$96/H$95^3","v":1.9441932852220442E-6},{"$f":"PRODUCT(I$95:$L$95)^3*I$96/I$95^3","v":-3.7714773232669613E-2},{"$f":"PRODUCT(J$95:$L$95)^3*J$96/J$95^3","v":3.7208028857657631E-5},{"$f":"PRODUCT(K$95:$L$95)^3*K$96/K$95^3","v":2.4162637515732897E-15},{"$f":"PRODUCT(L$95:$L$95)^3*L$96/L$95^3","v":0},0,-4.1140908684060833E-2]
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["SK(di)",null,{"$f":"B62","v":-89.23956978061338},{"$f":"C62","v":-2.65462932565773},-6.0949656116634475E-5,-2.650556986903922E-3,-8.024145414382116E-7,1.4245349904067401E-6,-4.2957008765656127E-2,3.7163771919347232E-5,2.4207286938770392E-15,0]

{"sheet":"Triangle incurred Chain Ladder","index":3,"n_rows":20,"n_cols":16,"rows_kept":20,"cut":false,"hidden":false,"merged":[[0,2,0,4]]}
[null,null,"Incurred - Chain-ladder (Mack)"]
[]
["UWY","N","N+1","N+2","N+3","N+4","N+5","N+6","N+7","N+8","N+9","N+10","Reserves","CoV","Skewness","Kurtosis"]
[2006,161295.25876659516,541537.74457550736,1463061.0988817769,1659941.1747545165,1716881.4021247316,1709176.0747098804,1694521.405859865,1710571.8635607962,1715090.9090149475,1716764.9007063883,1723579.2787498108,0,0]
[2007,8189.4767517365672,844616.5027054036,8445206.2776768524,11710554.822555218,10948955.129715981,10945110.264600767,11696665.688981477,11809171.999943253,11826188.846458636,11855385.820768846,0,47057.742618169636,4.8210220102358099E-3,0,0]
[2008,100001,1520381.3882560951,2029839.225882228,1958706.1973068502,2029409.8258457663,2232183.4092611987,3207023.9878131398,1901909.5276953038,1608241.6013504313,0,0,10064.584726091474,0.24449514509266845,-0.53589951416021786,0.58191218983397341]
[2009,102001,1321073.5628814325,2917220.6617964231,2988581.6002503093,3107580.1596506881,4083554.2397073288,3611622.5911831758,8030480.9635877619,0,0,0,-92337.694617883302,-5.4249723291266374,-0.62181174584728405,2.4163383235925382]
[2010,202741.43411692797,888362.46698341449,16369437.311115783,20190576.562343311,21526660.982837398,28665051.115744878,27873128.268218111,0,0,0,0,4099822.8377718627,2.6619056011214042,0.42373019459952743,2.2275440685764134]
[2011,30001,423676.18808857672,1332416.2173657052,2076607.5425295543,4160813.4603522001,4186377.8822412798,0,0,0,0,0,660920.96459504031,4.7784071014842091,0.71417772768947041,2.872581042455606]
[2012,72056.763865083252,230748.56607258116,826076.54338462884,3955425.9161514272,4742006.8871682575,0,0,0,0,0,0,1800447.7722428367,2.2072554517489489,0.6924708059287551,3.0185873954915659]
[2013,344784.9926572413,3483700.2141236346,4354423.5387641741,5478547.6342176776,0,0,0,0,0,0,0,2706627.4460177142,1.8411520345297498,0.77639988561320761,3.4855355633899006]
[2014,32799.287292150162,6820576.1735263634,14857472.672870159,0,0,0,0,0,0,0,0,14564159.41421761,0.99670040412331684,0.69123891428004747,3.3823486286156585]
[2015,200001,9172509.3535193335,null,0,0,0,0,0,0,0,0,50258563.340094201,1.001234876774765,0.95751445182198769,3.7834985803622136]
[2016,213825.30266373375,null,null,0,0,0,0,0,0,0,0,27682338.393722624,1.8704675499725685,2.118208751032248,10.116153365207147]
[null,null,null,null,null,null,null,null,null,null,null,"Total",101737664.80138826,0.88394997810518028,1.7455032394228043,3.8589231811985436]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"CoV","Skewness","Kurtosis"]
[null,"Source:"]
[null,"a - Aggregated data from the sheet data"]
[null,"b - Reserves, CoV, Skewness, Kurtosis: Run macro Mack1999 (see ReadMe)"]
[null,null,"See the article “an approximation of the nonlife reserve risk distribution using the cornish-fisher expansion” available under https://ssrn.com/abstract=2965384"]

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[]
[null,null,"Number of claims - Cumulative"]
[]
["UWY","ClaimNb","X1","X2","X3","X4","X5","X6","X7","X8","X9","X10","X11",null,null,"Étiquettes de lignes","Somme de X1","Somme de X2","Somme de X3","Somme de X4","Somme de X5","Somme de X6","Somme de X7","Somme de X8","Somme de X9","Somme de X10","Somme de X11"]
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[2006,1451,{"$f":"IF(Data!C28<>\"\",1,IF(Data!C28=\"\",\"\",0))","v":""},{"$f":"IF(Data!D28<>\"\",1,IF(Data!D28=\"\",\"\",0))","v":1},{"$f":"IF(Data!E28<>\"\",1,IF(Data!E28=\"\",\"\",0))","v":1},{"$f":"IF(Data!F28<>\"\",1,IF(Data!F28=\"\",\"\",0))","v":1},{"$f":"IF(Data!G28<>\"\",1,IF(Data!G28=\"\",\"\",0))","v":1},{"$f":"IF(Data!H28<>\"\",1,IF(Data!H28=\"\",\"\",0))","v":""},{"$f":"IF(Data!I28<>\"\",1,IF(Data!I28=\"\",\"\",0))","v":""},{"$f":"IF(Data!J28<>\"\",1,IF(Data!J28=\"\",\"\",0))","v":""},{"$f":"IF(Data!K28<>\"\",1,IF(Data!K28=\"\",\"\",0))","v":""},{"$f":"IF(Data!L28<>\"\",1,IF(Data!L28=\"\",\"\",0))","v":""},{"$f":"IF(Data!M28<>\"\",1,IF(Data!M28=\"\",\"\",0))","v":""},null,null,2013,2,12,15,20,0,0,0,0,0,0,0,7.6954335731747712,0.70400924945268895,0.37061473378153681,2.723295781189357]
[2006,1453,{"$f":"IF(Data!C29<>\"\",1,IF(Data!C29=\"\",\"\",0))","v":""},{"$f":"IF(Data!D29<>\"\",1,IF(Data!D29=\"\",\"\",0))","v":""},{"$f":"IF(Data!E29<>\"\",1,IF(Data!E29=\"\",\"\",0))","v":1},{"$f":"IF(Data!F29<>\"\",1,IF(Data!F29=\"\",\"\",0))","v":1},{"$f":"IF(Data!G29<>\"\",1,IF(Data!G29=\"\",\"\",0))","v":1},{"$f":"IF(Data!H29<>\"\",1,IF(Data!H29=\"\",\"\",0))","v":1},{"$f":"IF(Data!I29<>\"\",1,IF(Data!I29=\"\",\"\",0))","v":1},{"$f":"IF(Data!J29<>\"\",1,IF(Data!J29=\"\",\"\",0))","v":1},{"$f":"IF(Data!K29<>\"\",1,IF(Data!K29=\"\",\"\",0))","v":1},{"$f":"IF(Data!L29<>\"\",1,IF(Data!L29=\"\",\"\",0))","v":1},{"$f":"IF(Data!M29<>\"\",1,IF(Data!M29=\"\",\"\",0))","v":1},null,null,2014,3,14,20,0,0,0,0,0,0,0,0,16.390511555450566,0.80297514433263628,1.1798830328403889,5.0179485982446046]
[2006,1456,{"$f":"IF(Data!C30<>\"\",1,IF(Data!C30=\"\",\"\",0))","v":""},{"$f":"IF(Data!D30<>\"\",1,IF(Data!D30=\"\",\"\",0))","v":""},{"$f":"IF(Data!E30<>\"\",1,IF(Data!E30=\"\",\"\",0))","v":1},{"$f":"IF(Data!F30<>\"\",1,IF(Data!F30=\"\",\"\",0))","v":1},{"$f":"IF(Data!G30<>\"\",1,IF(Data!G30=\"\",\"\",0))","v":1},{"$f":"IF(Data!H30<>\"\",1,IF(Data!H30=\"\",\"\",0))","v":1},{"$f":"IF(Data!I30<>\"\",1,IF(Data!I30=\"\",\"\",0))","v":1},{"$f":"IF(Data!J30<>\"\",1,IF(Data!J30=\"\",\"\",0))","v":1},{"$f":"IF(Data!K30<>\"\",1,IF(Data!K30=\"\",\"\",0))","v":1},{"$f":"IF(Data!L30<>\"\",1,IF(Data!L30=\"\",\"\",0))","v":1},{"$f":"IF(Data!M30<>\"\",1,IF(Data!M30=\"\",\"\",0))","v":1},null,null,2015,1,6,0,0,0,0,0,0,0,0,0,11.181093980278302,0.99780976673971655,1.4062202021866983,5.9096576708986133]
[2006,1472,{"$f":"IF(Data!C31<>\"\",1,IF(Data!C31=\"\",\"\",0))","v":""},{"$f":"IF(Data!D31<>\"\",1,IF(Data!D31=\"\",\"\",0))","v":""},{"$f":"IF(Data!E31<>\"\",1,IF(Data!E31=\"\",\"\",0))","v":""},{"$f":"IF(Data!F31<>\"\",1,IF(Data!F31=\"\",\"\",0))","v":1},{"$f":"IF(Data!G31<>\"\",1,IF(Data!G31=\"\",\"\",0))","v":1},{"$f":"IF(Data!H31<>\"\",1,IF(Data!H31=\"\",\"\",0))","v":1},{"$f":"IF(Data!I31<>\"\",1,IF(Data!I31=\"\",\"\",0))","v":1},{"$f":"IF(Data!J31<>\"\",1,IF(Data!J31=\"\",\"\",0))","v":1},{"$f":"IF(Data!K31<>\"\",1,IF(Data!K31=\"\",\"\",0))","v":1},{"$f":"IF(Data!L31<>\"\",1,IF(Data!L31=\"\",\"\",0))","v":1},{"$f":"IF(Data!M31<>\"\",1,IF(Data!M31=\"\",\"\",0))","v":1},null,null,2016,2,0,0,0,0,0,0,0,0,0,0,31.320909537509436,0.78478762664847368,1.0456113343372648,4.3097925200292249]
[2007,17,{"$f":"IF(Data!C32<>\"\",1,IF(Data!C32=\"\",\"\",0))","v":""},{"$f":"IF(Data!D32<>\"\",1,IF(Data!D32=\"\",\"\",0))","v":1},{"$f":"IF(Data!E32<>\"\",1,IF(Data!E32=\"\",\"\",0))","v":1},{"$f":"IF(Data!F32<>\"\",1,IF(Data!F32=\"\",\"\",0))","v":1},{"$f":"IF(Data!G32<>\"\",1,IF(Data!G32=\"\",\"\",0))","v":1},{"$f":"IF(Data!H32<>\"\",1,IF(Data!H32=\"\",\"\",0))","v":1},{"$f":"IF(Data!I32<>\"\",1,IF(Data!I32=\"\",\"\",0))","v":1},{"$f":"IF(Data!J32<>\"\",1,IF(Data!J32=\"\",\"\",0))","v":1},{"$f":"IF(Data!K32<>\"\",1,IF(Data!K32=\"\",\"\",0))","v":1},{"$f":"IF(Data!L32<>\"\",1,IF(Data!L32=\"\",\"\",0))","v":1},{"$f":"IF(Data!M32<>\"\",1,IF(Data!M32=\"\",\"\",0))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,"Total",92.850914450113237,0.37229024143951733,0.69603995821336029,3.4081384116464548]
[2007,54,{"$f":"IF(Data!C33<>\"\",1,IF(Data!C33=\"\",\"\",0))","v":""},{"$f":"IF(Data!D33<>\"\",1,IF(Data!D33=\"\",\"\",0))","v":1},{"$f":"IF(Data!E33<>\"\",1,IF(Data!E33=\"\",\"\",0))","v":1},{"$f":"IF(Data!F33<>\"\",1,IF(Data!F33=\"\",\"\",0))","v":1},{"$f":"IF(Data!G33<>\"\",1,IF(Data!G33=\"\",\"\",0))","v":1},{"$f":"IF(Data!H33<>\"\",1,IF(Data!H33=\"\",\"\",0))","v":1},{"$f":"IF(Data!I33<>\"\",1,IF(Data!I33=\"\",\"\",0))","v":1},{"$f":"IF(Data!J33<>\"\",1,IF(Data!J33=\"\",\"\",0))","v":1},{"$f":"IF(Data!K33<>\"\",1,IF(Data!K33=\"\",\"\",0))","v":1},{"$f":"IF(Data!L33<>\"\",1,IF(Data!L33=\"\",\"\",0))","v":1},{"$f":"IF(Data!M33<>\"\",1,IF(Data!M33=\"\",\"\",0))","v":""},null,null,null,null,"Source:"]
[2007,122,{"$f":"IF(Data!C34<>\"\",1,IF(Data!C34=\"\",\"\",0))","v":1},{"$f":"IF(Data!D34<>\"\",1,IF(Data!D34=\"\",\"\",0))","v":1},{"$f":"IF(Data!E34<>\"\",1,IF(Data!E34=\"\",\"\",0))","v":1},{"$f":"IF(Data!F34<>\"\",1,IF(Data!F34=\"\",\"\",0))","v":1},{"$f":"IF(Data!G34<>\"\",1,IF(Data!G34=\"\",\"\",0))","v":1},{"$f":"IF(Data!H34<>\"\",1,IF(Data!H34=\"\",\"\",0))","v":""},{"$f":"IF(Data!I34<>\"\",1,IF(Data!I34=\"\",\"\",0))","v":""},{"$f":"IF(Data!J34<>\"\",1,IF(Data!J34=\"\",\"\",0))","v":""},{"$f":"IF(Data!K34<>\"\",1,IF(Data!K34=\"\",\"\",0))","v":""},{"$f":"IF(Data!L34<>\"\",1,IF(Data!L34=\"\",\"\",0))","v":""},{"$f":"IF(Data!M34<>\"\",1,IF(Data!M34=\"\",\"\",0))","v":""},null,null,null,null,"a - Aggregated data from the number of cumulative claims table on this sheet"]
[2007,123,{"$f":"IF(Data!C35<>\"\",1,IF(Data!C35=\"\",\"\",0))","v":""},{"$f":"IF(Data!D35<>\"\",1,IF(Data!D35=\"\",\"\",0))","v":1},{"$f":"IF(Data!E35<>\"\",1,IF(Data!E35=\"\",\"\",0))","v":1},{"$f":"IF(Data!F35<>\"\",1,IF(Data!F35=\"\",\"\",0))","v":1},{"$f":"IF(Data!G35<>\"\",1,IF(Data!G35=\"\",\"\",0))","v":1},{"$f":"IF(Data!H35<>\"\",1,IF(Data!H35=\"\",\"\",0))","v":1},{"$f":"IF(Data!I35<>\"\",1,IF(Data!I35=\"\",\"\",0))","v":1},{"$f":"IF(Data!J35<>\"\",1,IF(Data!J35=\"\",\"\",0))","v":1},{"$f":"IF(Data!K35<>\"\",1,IF(Data!K35=\"\",\"\",0))","v":1},{"$f":"IF(Data!L35<>\"\",1,IF(Data!L35=\"\",\"\",0))","v":1},{"$f":"IF(Data!M35<>\"\",1,IF(Data!M35=\"\",\"\",0))","v":""},null,null,null,null,"b - Reserves, CoV, Skewness, Kurtosis: Run macro Mack1999 (see ReadMe)"]
[2007,135,{"$f":"IF(Data!C36<>\"\",1,IF(Data!C36=\"\",\"\",0))","v":""},{"$f":"IF(Data!D36<>\"\",1,IF(Data!D36=\"\",\"\",0))","v":1},{"$f":"IF(Data!E36<>\"\",1,IF(Data!E36=\"\",\"\",0))","v":1},{"$f":"IF(Data!F36<>\"\",1,IF(Data!F36=\"\",\"\",0))","v":1},{"$f":"IF(Data!G36<>\"\",1,IF(Data!G36=\"\",\"\",0))","v":""},{"$f":"IF(Data!H36<>\"\",1,IF(Data!H36=\"\",\"\",0))","v":""},{"$f":"IF(Data!I36<>\"\",1,IF(Data!I36=\"\",\"\",0))","v":""},{"$f":"IF(Data!J36<>\"\",1,IF(Data!J36=\"\",\"\",0))","v":""},{"$f":"IF(Data!K36<>\"\",1,IF(Data!K36=\"\",\"\",0))","v":""},{"$f":"IF(Data!L36<>\"\",1,IF(Data!L36=\"\",\"\",0))","v":""},{"$f":"IF(Data!M36<>\"\",1,IF(Data!M36=\"\",\"\",0))","v":""},null,null,null,null,null,"See the article “an approximation of the nonlife reserve risk distribution using the cornish-fisher expansion” available under https://ssrn.com/abstract=2965384"]
[2007,268,{"$f":"IF(Data!C37<>\"\",1,IF(Data!C37=\"\",\"\",0))","v":""},{"$f":"IF(Data!D37<>\"\",1,IF(Data!D37=\"\",\"\",0))","v":1},{"$f":"IF(Data!E37<>\"\",1,IF(Data!E37=\"\",\"\",0))","v":1},{"$f":"IF(Data!F37<>\"\",1,IF(Data!F37=\"\",\"\",0))","v":1},{"$f":"IF(Data!G37<>\"\",1,IF(Data!G37=\"\",\"\",0))","v":""},{"$f":"IF(Data!H37<>\"\",1,IF(Data!H37=\"\",\"\",0))","v":""},{"$f":"IF(Data!I37<>\"\",1,IF(Data!I37=\"\",\"\",0))","v":""},{"$f":"IF(Data!J37<>\"\",1,IF(Data!J37=\"\",\"\",0))","v":""},{"$f":"IF(Data!K37<>\"\",1,IF(Data!K37=\"\",\"\",0))","v":""},{"$f":"IF(Data!L37<>\"\",1,IF(Data!L37=\"\",\"\",0))","v":""},{"$f":"IF(Data!M37<>\"\",1,IF(Data!M37=\"\",\"\",0))","v":""}]
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[2007,285,{"$f":"IF(Data!C39<>\"\",1,IF(Data!C39=\"\",\"\",0))","v":""},{"$f":"IF(Data!D39<>\"\",1,IF(Data!D39=\"\",\"\",0))","v":1},{"$f":"IF(Data!E39<>\"\",1,IF(Data!E39=\"\",\"\",0))","v":1},{"$f":"IF(Data!F39<>\"\",1,IF(Data!F39=\"\",\"\",0))","v":1},{"$f":"IF(Data!G39<>\"\",1,IF(Data!G39=\"\",\"\",0))","v":1},{"$f":"IF(Data!H39<>\"\",1,IF(Data!H39=\"\",\"\",0))","v":1},{"$f":"IF(Data!I39<>\"\",1,IF(Data!I39=\"\",\"\",0))","v":1},{"$f":"IF(Data!J39<>\"\",1,IF(Data!J39=\"\",\"\",0))","v":1},{"$f":"IF(Data!K39<>\"\",1,IF(Data!K39=\"\",\"\",0))","v":1},{"$f":"IF(Data!L39<>\"\",1,IF(Data!L39=\"\",\"\",0))","v":1},{"$f":"IF(Data!M39<>\"\",1,IF(Data!M39=\"\",\"\",0))","v":""}]
[2007,347,{"$f":"IF(Data!C40<>\"\",1,IF(Data!C40=\"\",\"\",0))","v":""},{"$f":"IF(Data!D40<>\"\",1,IF(Data!D40=\"\",\"\",0))","v":1},{"$f":"IF(Data!E40<>\"\",1,IF(Data!E40=\"\",\"\",0))","v":1},{"$f":"IF(Data!F40<>\"\",1,IF(Data!F40=\"\",\"\",0))","v":1},{"$f":"IF(Data!G40<>\"\",1,IF(Data!G40=\"\",\"\",0))","v":1},{"$f":"IF(Data!H40<>\"\",1,IF(Data!H40=\"\",\"\",0))","v":1},{"$f":"IF(Data!I40<>\"\",1,IF(Data!I40=\"\",\"\",0))","v":1},{"$f":"IF(Data!J40<>\"\",1,IF(Data!J40=\"\",\"\",0))","v":1},{"$f":"IF(Data!K40<>\"\",1,IF(Data!K40=\"\",\"\",0))","v":1},{"$f":"IF(Data!L40<>\"\",1,IF(Data!L40=\"\",\"\",0))","v":1},{"$f":"IF(Data!M40<>\"\",1,IF(Data!M40=\"\",\"\",0))","v":""}]
[2007,613,{"$f":"IF(Data!C41<>\"\",1,IF(Data!C41=\"\",\"\",0))","v":""},{"$f":"IF(Data!D41<>\"\",1,IF(Data!D41=\"\",\"\",0))","v":1},{"$f":"IF(Data!E41<>\"\",1,IF(Data!E41=\"\",\"\",0))","v":1},{"$f":"IF(Data!F41<>\"\",1,IF(Data!F41=\"\",\"\",0))","v":1},{"$f":"IF(Data!G41<>\"\",1,IF(Data!G41=\"\",\"\",0))","v":1},{"$f":"IF(Data!H41<>\"\",1,IF(Data!H41=\"\",\"\",0))","v":1},{"$f":"IF(Data!I41<>\"\",1,IF(Data!I41=\"\",\"\",0))","v":1},{"$f":"IF(Data!J41<>\"\",1,IF(Data!J41=\"\",\"\",0))","v":1},{"$f":"IF(Data!K41<>\"\",1,IF(Data!K41=\"\",\"\",0))","v":1},{"$f":"IF(Data!L41<>\"\",1,IF(Data!L41=\"\",\"\",0))","v":1},{"$f":"IF(Data!M41<>\"\",1,IF(Data!M41=\"\",\"\",0))","v":""}]
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[2007,645,{"$f":"IF(Data!C43<>\"\",1,IF(Data!C43=\"\",\"\",0))","v":""},{"$f":"IF(Data!D43<>\"\",1,IF(Data!D43=\"\",\"\",0))","v":""},{"$f":"IF(Data!E43<>\"\",1,IF(Data!E43=\"\",\"\",0))","v":""},{"$f":"IF(Data!F43<>\"\",1,IF(Data!F43=\"\",\"\",0))","v":1},{"$f":"IF(Data!G43<>\"\",1,IF(Data!G43=\"\",\"\",0))","v":1},{"$f":"IF(Data!H43<>\"\",1,IF(Data!H43=\"\",\"\",0))","v":1},{"$f":"IF(Data!I43<>\"\",1,IF(Data!I43=\"\",\"\",0))","v":1},{"$f":"IF(Data!J43<>\"\",1,IF(Data!J43=\"\",\"\",0))","v":1},{"$f":"IF(Data!K43<>\"\",1,IF(Data!K43=\"\",\"\",0))","v":1},{"$f":"IF(Data!L43<>\"\",1,IF(Data!L43=\"\",\"\",0))","v":1},{"$f":"IF(Data!M43<>\"\",1,IF(Data!M43=\"\",\"\",0))","v":""}]
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{"sheet":"Summary","index":5,"n_rows":31,"n_cols":29,"rows_kept":31,"cut":false,"hidden":false,"merged":[[1,3,1,13],[19,1,19,10]]}
[]
[null,null,null,"Reserves, volatility and skewness based on individual claims analysis"]
[]
[null,null,"UWY","Known claims","Known claims incurred","IBNER","Future claims","CoV (N)","Stdev(N)","Var(N)","SK(N)","Stdev (SIC)","Var(SIC)","E(SIC)","Reserves (indiv based)","Reserves (chain-ladder)","Var (IBNER) factor","Standard deviation (indiv based)","Standard deviation chain-ladder","SK(SIC)","SK IBNER factor","Skewness (indiv based)","Skewness coef (indiv based)","Skewness coef chain ladder","Standard deviation per future claim","Standard deviation per future claim (CL)","Skewness^(1/3) per future claim","Skewness^(1/3) per future claim (CL)","E(X)xVar(X)"]
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[null,-6,2013,{"$f":"OFFSET('Triangle nb UWY Reporting dvlpt'!Z28,0,Summary!B11)","v":20},{"$f":"OFFSET('Triangle incurred Chain Ladder'!K11,0,Summary!B11)","v":5478547.6342176776},{"$f":"E11*(OFFSET(Data!$AI$329,0,Summary!B11)-1)","v":783004.27756545681},{"$f":"'Triangle nb UWY Reporting dvlpt'!AB28","v":7.6954335731747712},{"$f":"'Triangle nb UWY Reporting dvlpt'!AC28","v":0.70400924945268895},5.4176564140637948,29.351001020846578,{"$f":"'Triangle nb UWY Reporting dvlpt'!AD28*Summary!I11^3","v":58.932797463300886},{"$f":"OFFSET(Data!$X$326,0,Summary!B11)","v":177257.38811273003},31420181640.547005,{"$f":"MAX(0,OFFSET(Data!$X$329,0,Summary!B11))","v":16022.709441234603},{"$f":"G11*SUM(N$5:N11)+F11","v":1449799.1696336046},{"$f":"'Triangle incurred Chain Ladder'!M11","v":2706627.4460177142},{"$f":"'Triangle Di Schnieper'!M74","v":8.3672536176481127E-2},{"$f":"SQRT(SUM(M$5:M11)*(G11)+J11*SUM(N$5:N11)^2+E11^2*Q11)","v":2557232.2549573947},{"$f":"'Triangle incurred Chain Ladder'!N11*'Triangle incurred Chain Ladder'!M11","v":4983312.6289495751},{"$f":"OFFSET(Data!$X$328,0,Summary!B11)","v":2.8300401588665276E+16},{"$f":"'Triangle Di Schnieper'!M91","v":-3.7676668376456363E-2},{"$f":"SUM(T$5:T11)*(G11)+SUM(N$5:N11)^3*K11+3*J11*SUM(N$5:N11)*SUM(M$5:M11)-E11*U11","v":2.4850314400421745E+19},1.4860087502430521,{"$f":"'Triangle incurred Chain Ladder'!O11","v":0.77639988561320761},332305.15612161951,647567.49331457051,379208.03896191769,595177.98776602175,503436441017298.63]
[null,-7,2014,{"$f":"OFFSET('Triangle nb UWY Reporting dvlpt'!Z29,0,Summary!B12)","v":20},{"$f":"OFFSET('Triangle incurred Chain Ladder'!K12,0,Summary!B12)","v":14857472.672870159},{"$f":"E12*(OFFSET(Data!$AI$329,0,Summary!B12)-1)","v":4021820.704275392},{"$f":"'Triangle nb UWY Reporting dvlpt'!AB29","v":16.390511555450566},{"$f":"'Triangle nb UWY Reporting dvlpt'!AC29","v":0.80297514433263628},13.16117338192366,173.21648478905587,{"$f":"'Triangle nb UWY Reporting dvlpt'!AD29*Summary!I12^3","v":2689.8173291221942},{"$f":"OFFSET(Data!$X$326,0,Summary!B12)","v":332358.12885980931},110461925819.1936,{"$f":"MAX(0,OFFSET(Data!$X$329,0,Summary!B12))","v":54385.61729413877},{"$f":"G12*SUM(N$5:N12)+F12","v":6333435.8910824955},{"$f":"'Triangle incurred Chain Ladder'!M12","v":14564159.41421761},{"$f":"'Triangle Di Schnieper'!M75","v":9.3177036896423426E-2},{"$f":"SQRT(SUM(M$5:M12)*(G12)+J12*SUM(N$5:N12)^2+E12^2*Q12)","v":5825306.9998252997},{"$f":"'Triangle incurred Chain Ladder'!N12*'Triangle incurred Chain Ladder'!M12","v":14516103.573867101},{"$f":"OFFSET(Data!$X$328,0,Summary!B12)","v":3.3292475534038624E+17},{"$f":"'Triangle Di Schnieper'!M92","v":-4.1049912979937556E-2},{"$f":"SUM(T$5:T12)*(G12)+SUM(N$5:N12)^3*K12+3*J12*SUM(N$5:N12)*SUM(M$5:M12)-E12*U12","v":1.0216713423295798E+20},0.51683838107576052,{"$f":"'Triangle incurred Chain Ladder'!O12","v":0.69123891428004747},355407.27207431966,885640.66623288882,285218.63399977738,783069.44155683974,6007540023176210]
[null,-8,2015,{"$f":"OFFSET('Triangle nb UWY Reporting dvlpt'!Z30,0,Summary!B13)","v":6},{"$f":"OFFSET('Triangle incurred Chain Ladder'!K13,0,Summary!B13)","v":9172509.3535193335},{"$f":"E13*(OFFSET(Data!$AI$329,0,Summary!B13)-1)","v":15201826.759026168},{"$f":"'Triangle nb UWY Reporting dvlpt'!AB30","v":11.181093980278302},{"$f":"'Triangle nb UWY Reporting dvlpt'!AC30","v":0.99780976673971655},11.156604776356341,124.46983013581712,{"$f":"'Triangle nb UWY Reporting dvlpt'!AD30*Summary!I13^3","v":1952.7627322991921},{"$f":"OFFSET(Data!$X$326,0,Summary!B13)","v":970351.67279747513},941582368900.85828,{"$f":"MAX(0,OFFSET(Data!$X$329,0,Summary!B13))","v":190389.07083212797},{"$f":"G13*SUM(N$5:N13)+F13","v":18907496.382545982},{"$f":"'Triangle incurred Chain Ladder'!M13","v":50258563.340094201},{"$f":"'Triangle Di Schnieper'!M76","v":9.5516874093195384E-2},{"$f":"SQRT(SUM(M$5:M13)*(G13)+J13*SUM(N$5:N13)^2+E13^2*Q13)","v":6245285.7535456922},{"$f":"'Triangle incurred Chain Ladder'!N13*'Triangle incurred Chain Ladder'!M13","v":50320626.472695939},{"$f":"OFFSET(Data!$X$328,0,Summary!B13)","v":5.7445827064655493E+18},{"$f":"'Triangle Di Schnieper'!M93","v":-4.1140908684060833E-2},{"$f":"SUM(T$5:T13)*(G13)+SUM(N$5:N13)^3*K13+3*J13*SUM(N$5:N13)*SUM(M$5:M13)-E13*U13","v":3.6103843644572185E+20},1.4821648058271524,{"$f":"'Triangle incurred Chain Ladder'!O13","v":0.95751445182198769},558557.66569544969,4500510.1076382725,636844.66559632844,4435850.020777151,1.7926699232694835E+17]
[null,-9,2016,{"$f":"OFFSET('Triangle nb UWY Reporting dvlpt'!Z31,0,Summary!B14)","v":2},{"$f":"OFFSET('Triangle incurred Chain Ladder'!K14,0,Summary!B14)","v":213825.30266373375},{"$f":"E14*(OFFSET(Data!$AI$329,0,Summary!B14)-1)","v":3700157.2846014784},{"$f":"'Triangle nb UWY Reporting dvlpt'!AB31","v":31.320909537509436},{"$f":"'Triangle nb UWY Reporting dvlpt'!AC31","v":0.78478762664847368},24.580262260413573,604.18929279071176,{"$f":"'Triangle nb UWY Reporting dvlpt'!AD31*Summary!I14^3","v":15528.511185450961},{"$f":"OFFSET(Data!$X$326,0,Summary!B14)","v":732010.13462721475},535838837196.95306,{"$f":"MAX(0,OFFSET(Data!$X$329,0,Summary!B14))","v":187447.74177564535},{"$f":"G14*SUM(N$5:N14)+F14","v":19951655.004056063},{"$f":"'Triangle incurred Chain Ladder'!M14","v":27682338.393722624},{"$f":"'Triangle Di Schnieper'!M77","v":1.4709147047244617},{"$f":"SQRT(SUM(M$5:M14)*(G14)+J14*SUM(N$5:N14)^2+E14^2*Q14)","v":15098429.646665001},{"$f":"'Triangle incurred Chain Ladder'!N14*'Triangle incurred Chain Ladder'!M14","v":51778915.672817923},{"$f":"OFFSET(Data!$X$328,0,Summary!B14)","v":1.8529271417732687E+18},{"$f":"'Triangle Di Schnieper'!M94","v":-5.487750834704805},{"$f":"SUM(T$5:T14)*(G14)+SUM(N$5:N14)^3*K14+3*J14*SUM(N$5:N14)*SUM(M$5:M14)-E14*U14","v":4.4619829789064681E+21},1.2963807401922995,{"$f":"'Triangle incurred Chain Ladder'!O14","v":2.118208751032248},482055.91311399674,1653174.0756381387,525623.69864486367,2123121.4541045083,1.0044177998825653E+17]
[null,null,"Total",null,null,null,null,null,null,null,null,null,null,"Total",{"$f":"SUM(O5:O14)","v":51096924.132053509},{"$f":"SUM(P5:P14)","v":101737664.80138826},null,{"$f":"SQRT(MMULT(TRANSPOSE(R5:R14),MMULT(B22:K31,R5:R14)))","v":21484300.546647511},{"$f":"SQRT(MMULT(TRANSPOSE(S5:S14),MMULT(B22:K31,S5:S14)))","v":89931006.573659331},null,null,8.9396619082995031E+21,{"$f":"V15/R15^3","v":0.90148278342381194},{"$f":"'Triangle incurred Chain Ladder'!O15","v":1.7455032394228043}]
[]
[]
[]
[]
[null,"Correlation Mack 1993"]
["UWY / UWY",2007,2008,2009,2010,2011,2012,2013,2014,2015,2016]
[2007,1,1.0949535245043071E-2,2.6384172016761213E-4,4.8778234226012425E-5,2.5554548500495426E-5,2.7409978018500321E-5,2.7347078132516415E-5,3.3745649684038734E-5,1.9663853113923388E-5,8.9700037180104327E-6]
[2008,1.0949535245043071E-2,1,2.5605800462365925E-3,4.7339205175904697E-4,2.4800652049791419E-4,2.6601343690970655E-4,2.6540299443359388E-4,3.2750103802138119E-4,1.9083740768386764E-4,8.7053755260594498E-5]
[2009,2.6384172016761213E-4,2.5605800462365925E-3,1,6.3306354156620406E-2,3.316572080467349E-2,3.5573771855378106E-2,3.5492137853621139E-2,4.3796461352915261E-2,2.5520539418172419E-2,1.1641631583616106E-2]
[2010,4.8778234226012425E-5,4.7339205175904697E-4,6.3306354156620406E-2,1,0.30457680658669195,0.32669110054221456,0.32594141614034483,0.40220402316082648,0.234367419424861,0.10691071640140326]
[2011,2.5554548500495426E-5,2.4800652049791419E-4,3.316572080467349E-2,0.30457680658669195,1,0.17830523437596058,0.17789606298206115,0.21951954766327805,0.12791575155025989,5.8350963076788179E-2]
[2012,2.7409978018500321E-5,2.6601343690970655E-4,3.5573771855378106E-2,0.32669110054221456,0.17830523437596058,1,0.20043058085416066,0.24732661144631504,0.1441191443691501,6.5742418504560599E-2]
[2013,2.7347078132516415E-5,2.6540299443359388E-4,3.5492137853621139E-2,0.32594141614034483,0.17789606298206115,0.20043058085416066,1,0.26895528313107897,0.15672233995259841,7.1491582241056201E-2]
[2014,3.3745649684038734E-5,3.2750103802138119E-4,4.3796461352915261E-2,0.40220402316082648,0.21951954766327805,0.24732661144631504,0.26895528313107897,1,0.24883616339174311,0.11351088201624794]
[2015,1.9663853113923388E-5,1.9083740768386764E-4,2.5520539418172419E-2,0.234367419424861,0.12791575155025989,0.1441191443691501,0.15672233995259841,0.24883616339174311,1,0.19188058220657908]
[2016,8.9700037180104327E-6,8.7053755260594498E-5,1.1641631583616106E-2,0.10691071640140326,5.8350963076788179E-2,6.5742418504560599E-2,7.1491582241056201E-2,0.11351088201624794,0.19188058220657908,1]