ep-curve — Lattice component

ep-curve

EvidenceCanvasSeries

An exceedance-probability curve: the loss to expect once every N years, with return periods across on a log scale and up to four curves (OEP and AEP, gross and net).

Open in Playground

Use when the question is how big a loss to plan for: a reinsurance program's 1-in-100 and 1-in-250 losses, a cat model's output, a capital model's tail. Each point is {return period, loss}; a curve is a name with its points nested under it.

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When to use

  • How big a loss to plan for. An EP curve earns its slide when the question is the size of a rare loss: the 1-in-100 a program must cover, how much a reinsurance tower takes off the gross curve. For how often each loss band happens, use histogram.
  • Two to four curves. OEP and AEP, or gross and net, read best together: the gap between the curves is the story. Past four, split the slide.

When not to use

  • Return period written as a label. - 1-in-100 $410M` is a label and a value, which the chart cannot place. Write the point record, return period first: {100, $410M} ; the axis prints 1-in-100` for you.
  • A probability instead of a return period. Write the return period, not the annual probability: 1% is {100, …}, 0.4% is {250, …}.

Common mistakes

  • Writing the loss first ({$410M, 100}). The record is {return period, loss}: the return period runs across the bottom, the way the chart is drawn.

Authoring

<!-- _class: ep-curve -->

## A 1-in-100 year costs $410M.

- `{10, $120M}`
- `{50, $300M}`
- `{100, $410M}`
- `{250, $560M}`

Slots

SlotSelectorRequiredDescription
titleh2yesSlide heading — name the loss the audience should remember ('A 1-in-100 year costs $410M'), not 'EP curve'.
axesp > codenoOptional axis line, as ONE bracketed list in its own paragraph ABOVE the heading: the return-period axis, then the loss axis — [{Return period, 10..250}, {Loss}]. A return-period domain of at least 1 widens the axis past the points (a minimum below 1 is ignored); a loss domain raises the ceiling, while the floor stays zero or the lowest loss. The return-period axis is always log, so log changes nothing. Without the line the x axis is captioned 'Return period'. Same idiom as scatter and histogram.
curvesul > liyesA flat list of point records draws one curve: ` {100, $410M} is a 1-in-100 year loss of $410M, return period first. For several curves, write each curve's name and nest its points under it: - OEP then - {100, $410M}`. Up to four curves; a return period below 1 is not a point.

Data shape

  • Each point is {return period, loss}: the return period a number of years of at least 1, the loss any number Segno reads ($410M, 410).
  • A curve's points are drawn in return-period order whatever the order written; a return period given twice in one curve keeps the first.
  • lint:deck names a point it cannot read (a thousands separator, {1,000, $900M}, is the commonest), a return period given twice in one curve, and a fifth curve.

Anatomy

┌─────────────────────────────────────────┐
│  header                                 │
│        Where the pipeline leaks.        │
│                                         │
│   Visitors    [============]   12,000   │
│     62%        [========]      4,800    │
│   Activated    [=====]         2,160    │
│     40%        [==]              864    │
│   Paid         [=]               670    │
│                                         │
│  footer                           1/19  │
└─────────────────────────────────────────┘

Related

  • histogramhow often each band of loss happens, rather than the loss at each return period
  • towerthe reinsurance program the curve is priced against
  • linea quantity over time, on an evenly spaced axis