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Jackson · 2025年02月16日

Net premiums written.和 net premium earned 有什么区别?

NO.PZ2024101001000084

问题如下:

Question An analyst gathers the following information (in $ millions) of an insurer and evaluates the overall efficiency of its operation:

The insurer's combined ratio is:

选项:

A.A.64%. B.B.80%. C.C.120%.

解释:

Solution
  1. Incorrect because the combined ratio is incorrectly calculated as (Loss expense + Loss adjustment expense + Underwriting expense) / (Net premiums earned + Net premiums written)

  2. Incorrect because this is the Loss and loss adjustment expense ratio for the insurer. Loss and loss adjustment expense ratio = (Loss expense + Loss adjustment expense) / Net premiums earned.

  3. Correct because 120% is the combined ratio of the insurer.

    Combined ratio = Loss and loss adjustment expense ratio + Underwriting expense ratio.

    Loss and loss adjustment expense ratio = (Loss expense + Loss adjustment expense)/Net premiums earned.

    Underwriting expense ratio = Underwriting expense/Net premiums written.

Analysis of Financial Institutions
  • describe key ratios and other factors to consider in analyzing an insurance company

Net premiums written.和 net premium earned 有什么区别?

1 个答案

王园圆_品职助教 · 2025年02月16日

同学你好

1.首先,如果单独说written premium和earned premium是有区别的,就是你说的这个earned premium是当期的收入。然后written premium是预收的保费,比如你今年年中收了一年的保费,但是这个保费是今年年中到明年年中的,这个时候earned premium是当期的收入(今年年中到明年年底)。written premium就是预收的一整年的保费。

2.书上给的公式loss是用earned premiums,但是expense用的是written premium。同学可以看下,所以从精确计算角度,两者是有区别的

3.但是原版书也说了,有时候这两者也会混用,请看以下原版书截图,

综上,如果题目给了两个earned premium和written premium,你就按照讲义上最精准的公式来用。如果没有给两个,就给了其中一个,你就直接用,不用区别两者。

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