# ultimateClaims

Compute ultimate claims for `developmentTriangle` object

## Syntax

``projectedUltimateClaims = ultimateClaims(dT)``

## Description

example

````projectedUltimateClaims = ultimateClaims(dT)` calculates the projected ultimate claims for each origin period, based on the observed claims and the cumulative development factors.```

## Examples

collapse all

Calculate the projected ultimate claims 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 ... ] SelectedLinkRatio: [1.1767 1.0563 1.0249 1.0107 1.0054 ... ] ```

Use the `cdfSummary` 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 `ultimateClaims` function to calculate the projected ultimate claims for each origin period, based on the observed claims and the cumulative development factors.

`projectedUltimateClaims = ultimateClaims(dT)`
```projectedUltimateClaims = 10×1 103 × 5.0894 5.1820 5.6310 5.8188 5.9093 5.8284 5.8293 6.1353 6.0911 6.4444 ```

## Input Arguments

collapse all

Development triangle, specified as a previously created `developmentTriangle` object.

Data Types: `object`

## Output Arguments

collapse all

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

## Version History

Introduced in R2020b