linkRatioAverages
Description
calculates different link ratio averages.LinkRatioAveragesTable
= linkRatioAverages(developmentTriangle
)
Examples
Calculate Link Ratio Averages for a Development Triangle
Calculate different link ratio averages 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 linkRatioAverages
function to calculate different link ratio averages.
LinkRatioAveragesTable = linkRatioAverages(dT)
LinkRatioAveragesTable=8×9 table
12-24 24-36 36-48 48-60 60-72 72-84 84-96 96-108 108-120
______ ______ ______ ______ ______ ______ _____ ______ _______
Simple Average 1.1767 1.0563 1.0249 1.0107 1.0054 1.0038 1.003 1.002 1.001
Simple Average - Latest 5 1.172 1.056 1.0268 1.0108 1.0054 1.0038 1.003 1.002 1.001
Simple Average - Latest 3 1.17 1.0533 1.027 1.0117 1.0057 1.0037 1.003 1.002 1.001
Medial Average - Latest 5x1 1.1733 1.0567 1.0267 1.0103 1.005 1.004 1.003 1.002 1.001
Volume-weighted Average 1.1766 1.0563 1.025 1.0107 1.0054 1.0038 1.003 1.002 1.001
Volume-weighted Average - Latest 5 1.172 1.056 1.0268 1.0108 1.0054 1.0038 1.003 1.002 1.001
Volume-weighted Average - Latest 3 1.1701 1.0534 1.027 1.0117 1.0057 1.0037 1.003 1.002 1.001
Geometric Average - Latest 4 1.17 1.055 1.0267 1.011 1.0055 1.0037 1.003 1.002 1.001
Input Arguments
developmentTriangle
— Development triangle
developmentTriangle
object
Development triangle, specified as a previously created developmentTriangle
object.
Data Types: object
Output Arguments
LinkRatioAveragesTable
— Link ratio averages
table
Link ratio averages, returned as a table. The table shows
Simple Average
, Medial
Average
, Geometric Average
, and
Volume-weighted-average
.
More About
Link Ratio Averages
The link ratio average is the average of the link ratios or the age-to-age factors.
Version History
Introduced in R2020b
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