# Tagged Questions

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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### Given CDF, F(X), compute E(F(X)) [closed]

I am given Pr(x): 0.1 , x = −1.9 0.1 , x = −0.1 0.3 , x = 2 0.1 , x = 3 0.4 , x = 4 0 , otherwise and F(x): 0 , x < −1.9 0.1 , −1.9 ≤ x < −0.1 0.2 , −0.1 ≤ x < 2 0.5 , 2 ≤ x < 3 0.6 ...
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### Why these two distributions are different when I calculated them?

Two insurers provide bids on an insurance policy to a large company. The bids must be between 2000 and 2200 . The company decides to accept the lower bid if the two bids differ by 20 or more. ...
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### What is the meaning of this notation? $Z: (0,1)$

I understand that it is a mapping onto all real numbers and the piecewise part but not the $Z: (0,1)$ part. Image of Problem Here
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### Redington vs full immunization?

I understand that the present values and duration of liabilities and assets are required to be equal to each other under both cases, and furthermore for Redington immunization the convexity must also ...
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### Two questions on nominal rates of interest

I'm reading Marcel B. Finan's A Basic Course in the Theory of Interest and Derivatives Markets: A Preparation for the Actuarial Exam FM/2 and have difficulty with two of his questions. Problem 9.6 (...
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### Differential of Fisher-Weil Bond Price using discrete-time compunding

I would like to ask you if my calculations are correct regarding the differential of the price of a bond using a sequence of spot rates as discount factors. P(i^S ) = \sum_{t=1}^{T} ...
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