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# Questions tagged [actuarial-science]

Actuarial science is a discipline that uses mathematics and statistics to assess risk. The mathematics involved in actuarial science includes probability, statistics, finance, life insurance mathematics, and more.

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### Difference between annual net premium and face amount.

I am doing the revision, and confusing about the face amount, net single premium and annual net premium. As I know the net single premium is the present value of the lump sum pay at time 0. How about ...
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### How to prove that $\mathring{e}_x \le \mathring{e}_{x+1} + 1$ - AMLCR Exercise 2.10a [duplicate]

I'm going through Actuarial Mathematics for Life Contingent Risks, 3rd. ed Exercise 2.10. Part a. is the following question: Show that $\mathring{e}_x \le \mathring{e}_{x+1} + 1$. Based on the ...
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### Survival Analysis - integrating the survival probability

recently I am doing 1 question A life aged (40) is subject to an extra risk for the next year only. Suppose the normal probability of death is 0.003, and that the extra risk may be expressed by adding ...
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### "Factorizing" a sum of GLMs

I was looking a little bit into insurance mathematics, which left me puzzling about a question. I'll give you some context first: When estimating the total claim amount for, say, a motor insurance, it ...
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### Comparing two mortage rates.

Say I buy a house and take a loan for amount, $a$. The monthly interest rate the bank charges me is $r$ (banks generally quote yearly rates; divide those by $12$ to get $r$), compounded monthly and ...