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Plotting Development Profiles

plot.profileLadder.Rd

The function provides a graphical representation of the functional profiles estimated by the PARALLAX, REACT, or MACRAME algorithm (see Maciak, Mizera, and Pesta (2022) for further details). The function takes an object of the class profileLadder which is the output of the parallelReserve() function or the mcReserve() function. Alternatively, the function can be also applied to visualise the run-off triangle itself—if the triangle is of the class profileLadder.

Usage

# S3 method for class 'profileLadder'
plot(
  x,
  xlab = "Development period",
  ylab = "Cumulative claims",
  main = "",
  default.legend = TRUE,
  ...
)

Arguments

x

an object of the class profileLadder (output form parallelReserve(), mcReserve(), or as.profileLadder()

xlab

label for the x axis

ylab

label for the y axis

main

title of the plot

default.legend

logical to indicate whether a default plot legend (utilizing the information from the R class profileLadder) should be provided (DEFAULT)

...

other graphical parameters to plot

Value

A graph with the observed functional development profiles from the input run-off triangle, the estimated/predicted functional segments (i.e., functional profile completion provided by the corresponding estimation method—PARALLAX, REACT, or MACRAME) the and the true future profiles (if these are available)

See also

as.profileLadder(), parallelReserve(), mcReserve()

Examples

## completed run-off triangle with the 'unknown' (future) payments
print(triangle <- GFCIB$bodilyInjury[1:15, 1:15])
#>          dev
#> origin       1    2    3     4     5     6     7     8     9    10    11    12
#>   2008_Q1  210 2040 3735  5633  7425  9307 10657 11803 12593 13359 13558 14168
#>   2008_Q2  628 2610 4394  7260  8562 10370 11083 14087 16116 16205 16252 16400
#>   2008_Q3  828 6064 9962 15918 16728 17788 18866 19317 20651 21024 21768 24789
#>   2008_Q4  642 3174 5733  7300 10183 11389 12965 13201 13477 13888 14825 15295
#>   2009_Q1  686 1831 2558  3576  3956  4429  4897  5185  5410  5466  5939  5953
#>   2009_Q2  429 2968 4734  6656  8479  9524 10085 11894 12384 13470 13681 14113
#>   2009_Q3  435 1994 5136  8318  9542 10834 12348 13904 14658 15644 15966 16215
#>   2009_Q4 1319 4062 7117  9160 11955 15795 18500 22596 23239 23791 24848 24885
#>   2010_Q1  250 1533 2566  2838  3381  3457  3546  3618  3788  4226  4278  4288
#>   2010_Q2 1264 2303 3346  5017  5905  7031  7495  8023  8256  8406  8927  9845
#>   2010_Q3 1032 2736 5216  7491 11314 12614 13193 19440 19896 20387 20979 21069
#>   2010_Q4  806 2607 4811  5973  6988  9749 10335 10551 13202 13721 13736 14039
#>   2011_Q1  674 1317 1864  2308  2546  2732  2781  3025  3035  3065  3246  3313
#>   2011_Q2  633 1680 3525  4424  5889  8475  9197  9879 10099 11027 11207 20216
#>   2011_Q3 2368 5186 6896  7601  9947 11374 12048 12397 12752 13907 15568 16946
#>          dev
#> origin       13    14    15
#>   2008_Q1 14482 14604 15157
#>   2008_Q2 16568 17202 19003
#>   2008_Q3 25186 25704 25956
#>   2008_Q4 16709 18926 19748
#>   2009_Q1  5984  5987  6115
#>   2009_Q2 14191 14505 14820
#>   2009_Q3 17311 18352 18808
#>   2009_Q4 25804 26195 26195
#>   2010_Q1  4288  4288  4296
#>   2010_Q2  9896 10315 10501
#>   2010_Q3 22559 23164 23526
#>   2010_Q4 14295 14718 14760
#>   2011_Q1  3340  3354  3354
#>   2011_Q2 20466 20486 21614
#>   2011_Q3 17043 17045 17168
plot(mcReserve(triangle))


## completed run-off triangle with unknown future
print(observed(triangle))
#>          dev
#> origin       1    2    3     4     5     6     7     8     9    10    11    12
#>   2008_Q1  210 2040 3735  5633  7425  9307 10657 11803 12593 13359 13558 14168
#>   2008_Q2  628 2610 4394  7260  8562 10370 11083 14087 16116 16205 16252 16400
#>   2008_Q3  828 6064 9962 15918 16728 17788 18866 19317 20651 21024 21768 24789
#>   2008_Q4  642 3174 5733  7300 10183 11389 12965 13201 13477 13888 14825 15295
#>   2009_Q1  686 1831 2558  3576  3956  4429  4897  5185  5410  5466  5939    NA
#>   2009_Q2  429 2968 4734  6656  8479  9524 10085 11894 12384 13470    NA    NA
#>   2009_Q3  435 1994 5136  8318  9542 10834 12348 13904 14658    NA    NA    NA
#>   2009_Q4 1319 4062 7117  9160 11955 15795 18500 22596    NA    NA    NA    NA
#>   2010_Q1  250 1533 2566  2838  3381  3457  3546    NA    NA    NA    NA    NA
#>   2010_Q2 1264 2303 3346  5017  5905  7031    NA    NA    NA    NA    NA    NA
#>   2010_Q3 1032 2736 5216  7491 11314    NA    NA    NA    NA    NA    NA    NA
#>   2010_Q4  806 2607 4811  5973    NA    NA    NA    NA    NA    NA    NA    NA
#>   2011_Q1  674 1317 1864    NA    NA    NA    NA    NA    NA    NA    NA    NA
#>   2011_Q2  633 1680   NA    NA    NA    NA    NA    NA    NA    NA    NA    NA
#>   2011_Q3 2368   NA   NA    NA    NA    NA    NA    NA    NA    NA    NA    NA
#>          dev
#> origin       13    14    15
#>   2008_Q1 14482 14604 15157
#>   2008_Q2 16568 17202    NA
#>   2008_Q3 25186    NA    NA
#>   2008_Q4    NA    NA    NA
#>   2009_Q1    NA    NA    NA
#>   2009_Q2    NA    NA    NA
#>   2009_Q3    NA    NA    NA
#>   2009_Q4    NA    NA    NA
#>   2010_Q1    NA    NA    NA
#>   2010_Q2    NA    NA    NA
#>   2010_Q3    NA    NA    NA
#>   2010_Q4    NA    NA    NA
#>   2011_Q1    NA    NA    NA
#>   2011_Q2    NA    NA    NA
#>   2011_Q3    NA    NA    NA
plot(mcReserve(observed(triangle)))


## the run-off triangle with future payments without MACRAME completion
plot(as.profileLadder(triangle))
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