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29 Cards in this Set

  • Front
  • Back

Is positive homogeneity true for skewness?

No it’s not true, so that property doesn’t hold

Is translation invariance true for skewness?

No it’s not so that property doesn’t hold

What is the on level premium?

The value of the premium after it has been brought to the current rate level using the most recent base rate and relativities

What 3 things can affect rates for homeowners insurance?

1. Probability of natural disasters


2. Materials used to construct the home


3. Value of the home

Under inland marine insurance, what counts as personal property floater risks?

Construction equipment, personal jewelry and furs, agricultural equipment, and animals

Under inland marine insurance, what counts as instrumentalities of transportation and communication

Bridges, tunnels, etc

If you’re given one of the parameters for normal/lognormal, can use you the matching moments formula to find the other one?

No you can’t. So if you use matching moments, you need to estimate both

Special cases: matching moments Gamma, fixed α

θ=x/α

First property of Bayesian/Buhlmann graph

Buhlmann estimates are on a straight line

Second property of Bayesian/Buhlmann graph

Bayesian estimates are within the range of hypothetical means

Third property of Bayesian/Buhlmann graph

There are Bayesian estimates above and below the Buhlmann line

Fourth property of Bayesian/Buhlmann graph

Buhlmann estimates are between the sample mean and theoretical mean

d/dt[b^t]=?

lnb• b^t

When a<0 for non-uniform exposures, what does the credibility factor Z equal?

0

Bernoulli Shortcut

VarX= (a-b)^2•q•(1-q)



Where X=a with probability q and X=b with probability 1-q

True or False: you can do weighted averages with TVaR and VaR?

False, you can’t do weighted averages

What do you find when you want to minimize the squared loss function?

Posterior Mean

What do you find when you want to minimize the absolute loss function?

The posterior median

What do you find when you want to minimize the Zero-one loss function?

The Posterior Mode

An insurance policy pays for the portion of aggregate losses that exceed twice the expected value of X, how is this translated into math notation?

E[(x-d)+] with d being twice the expected value of X

When you have inflation, should you include it as part of the ultimate insurance formula or just use as a scale factor and modify the distribution?

Scale factor and modify the distribution

True or False? HSA’s are available for everyone

True, HSA’s are available for everyone, even the self-employed

True or False: An insurer must have a HDHP (high deductible health plan) to be eligible for an HSA

True, you need to be on a HDHP to qualify for an HSA

True or False: HSA contributions are made tax free?

True, they are made tax free

Trie or False? If you have an Buhlmann credibility problem with inflation, you should always trend to the last year- the year you want to predict?

True

True or False? With Bulhmann credibility problems with inflation, you have to trend u to the year you are predicting to?

True, trend u to the year you wanna predict

The Cramer Rai Lower Bound is also known as what?

Asymptotic Variance

With the phrase “Calculate the percent increase in the expected number of claims exceeding a 10,000 policy limit between 2009 and 2012”, what should you calculate?

(Survival function in 2012)/(Survival function in 2009)

When finding the number of claims that will be closed in a development year, what’s the order you should go in when making rows?


(The problem gives the selected claims closure rate for each development year)

1.) Open claims


2.) Closure Rate


3.) Claims Closed