# ultimateClaims

Compute projected ultimate claims for expectedClaims object

Since R2020b

## Description

example

projectedUltimateClaims = ultimateClaims(ec) computes the projected ultimate claims for each origin period, based on the earned premium and the selected claims ratios for an expectedClaims object.

## Examples

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Compute the projected ultimate claims for an expectedClaims object containing simulated insurance claims 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. Create two developmentTriangle objects, one for reported claims and one for paid claims.

dT_reported = developmentTriangle(data,'Origin','OriginYear','Development','DevelopmentYear','Claims','ReportedClaims')
dT_reported =
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]

dT_paid = developmentTriangle(data,'Origin','OriginYear','Development','DevelopmentYear','Claims','PaidClaims')
dT_paid =
developmentTriangle with properties:

Origin: {10x1 cell}
Development: {10x1 cell}
Claims: [10x10 double]
LatestDiagonal: [10x1 double]
Description: ""
TailFactor: 1
CumulativeDevelopmentFactors: [2.4388 1.4070 1.1799 1.0810 1.0378 1.0178 1.0080 1.0030 1.0010 1]
SelectedLinkRatio: [1.7333 1.1925 1.0914 1.0417 1.0196 1.0097 1.0050 1.0020 1.0010]

Create an expectedClaims object where the first input argument is the reported development triangle and the second input argument is the paid development triangle.

earnedPremium = [17000; 18000; 10000; 19000; 16000; 10000; 11000; 10000; 14000; 10000];
ec =
expectedClaims with properties:

ReportedTriangle: [1x1 developmentTriangle]
PaidTriangle: [1x1 developmentTriangle]
InitialClaims: [10x1 double]
CaseOutstanding: [10x1 double]
EstimatedClaimsRatios: [10x1 double]
SelectedClaimsRatios: [10x1 double]

Use ultimateClaims to compute the projected ultimate claims using Expected Claims Technique.

projectedUltimateClaims = ultimateClaims(ec)
projectedUltimateClaims = 10×1
103 ×

4.9910
5.1623
5.5856
5.8067
5.8990
5.9211
5.8895
6.1289
6.1374
6.6034

## Input Arguments

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Expected claims, specified as a previously created expectedClaims object.

Data Types: object

## Output Arguments

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Projected ultimate claims obtained using the expected claims technique, returned as a vector.

## Version History

Introduced in R2020b