fullTriangle
Description
calculates the projected claims for every origin and development period in the
lower half of the development triangle.fullTriangleTable
= fullTriangle(developmentTriangle
)
Examples
Creates Filled Development Triangles
Calculate the projected claims for every origin and development period in the lower half of the development triangle for a developmentTriangle
object containing simulated insurance claims data.
load InsuranceClaimsData.mat;
head(data)
OriginYear DevelopmentYear ReportedClaims PaidClaims __________ _______________ ______________ __________ 2010 12 3995.7 1893.9 2010 24 4635 3371.2 2010 36 4866.8 4079.1 2010 48 4964.1 4487 2010 60 5013.7 4711.4 2010 72 5038.8 4805.6 2010 84 5059 4853.7 2010 96 5074.1 4877.9
Use developmentTriangle
to convert the data to a development triangle, which is the standard form for representing claims data.
dT = developmentTriangle(data)
dT = developmentTriangle with properties: Origin: {10x1 cell} Development: {10x1 cell} Claims: [10x10 double] LatestDiagonal: [10x1 double] Description: "" TailFactor: 1 CumulativeDevelopmentFactors: [1.3069 1.1107 1.0516 1.0261 1.0152 1.0098 1.0060 1.0030 1.0010 1] SelectedLinkRatio: [1.1767 1.0563 1.0249 1.0107 1.0054 1.0038 1.0030 1.0020 1.0010]
Use the ultimateClaims
function to calculate CDFs and the percentage of total claims and return a table with the selected link ratios, CDFs, and percentage of total claims.
dT.SelectedLinkRatio = [1.1755, 1.0577, 1.0273, 1.0104, 1.0044, 1.0026, 1.0016, 1.0006, 1.0004]; selectedLinkRatiosTable = cdfSummary(dT)
selectedLinkRatiosTable=3×10 table
12-24 24-36 36-48 48-60 60-72 72-84 84-96 96-108 108-120 Ultimate
_______ _______ _______ _______ _______ _______ ______ ______ _______ ________
Selected 1.1755 1.0577 1.0273 1.0104 1.0044 1.0026 1.0016 1.0006 1.0004 1
CDF to Ultimate 1.303 1.1084 1.048 1.0201 1.0096 1.0052 1.0026 1.001 1.0004 1
Percent of Total Claims 0.76747 0.90216 0.95422 0.98027 0.99046 0.99482 0.9974 0.999 0.9996 1
Use the fullTriangle
function to create a table containing the filled development triangle.
fullTriangleTable = fullTriangle(dT)
fullTriangleTable=10×11 table
12 24 36 48 60 72 84 96 108 120 Ultimate
______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ________
2010 3995.7 4635 4866.8 4964.1 5013.7 5038.8 5059 5074.1 5084.3 5089.4 5089.4
2011 3968 4682.3 4963.2 5062.5 5113.1 5138.7 5154.1 5169.6 5179.9 5182 5182
2012 4217 5060.4 5364 5508.9 5558.4 5586.2 5608.6 5625.4 5628.8 5631 5631
2013 4374.2 5205.3 5517.7 5661.1 5740.4 5780.6 5803.7 5813 5816.5 5818.8 5818.8
2014 4499.7 5309.6 5628.2 5785.8 5849.4 5878.7 5894 5903.4 5906.9 5909.3 5909.3
2015 4530.2 5300.4 5565.4 5715.7 5772.8 5798.2 5813.3 5822.6 5826.1 5828.4 5828.4
2016 4572.6 5304.2 5569.5 5714.3 5773.7 5799.1 5814.2 5823.5 5827 5829.3 5829.3
2017 4680.6 5523.1 5854.4 6014.3 6076.8 6103.6 6119.4 6129.2 6132.9 6135.3 6135.3
2018 4696.7 5495.1 5812.2 5970.9 6032.9 6059.5 6075.2 6085 6088.6 6091.1 6091.1
2019 4945.9 5813.9 6149.4 6317.2 6382.9 6411 6427.7 6438 6441.8 6444.4 6444.4
Input Arguments
developmentTriangle
— Development triangle
developmentTriangle
object
Development triangle, specified as a previously created developmentTriangle
object.
Data Types: object
Output Arguments
fullTriangleTable
— Filled development triangle
table
Filled development triangle, returned as a table.
Version History
Introduced in R2020b
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