Q9. For a portfolio of fully discrete 40-year endowment insurances of 1 on independent lives age x, you are given: The premium mistakenly charged is the benefit premium for a fully discrete 40- year term insurance of 1 on (x). L is the loss-at-issue random variable for one policy. A₁ = 0.257 - X:40] Ax:401 = 0.268 2AX:40 = 0.0745 d = 0.05 By using the normal approximation, calculate the number of policies the insurer must issue so that the probability of a positive aggregate loss on the policies issued is 95%. -

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
For a portfolio of fully discrete 40-year endowment insurances of 1 on independent lives
age x, you are given:
The premium mistakenly charged is the benefit premium for a fully discrete 40-
year term insurance of 1 on (x).
L is the loss-at-issue random variable for one policy.
A₁ = 0.257
x:40
Ax:401 = 0.268
2Ax:401
d = 0.05
By using the normal approximation, calculate the number of policies the insurer must
issue so that the probability of a positive aggregate loss on the policies issued is 95%.
= 0.0745
Transcribed Image Text:For a portfolio of fully discrete 40-year endowment insurances of 1 on independent lives age x, you are given: The premium mistakenly charged is the benefit premium for a fully discrete 40- year term insurance of 1 on (x). L is the loss-at-issue random variable for one policy. A₁ = 0.257 x:40 Ax:401 = 0.268 2Ax:401 d = 0.05 By using the normal approximation, calculate the number of policies the insurer must issue so that the probability of a positive aggregate loss on the policies issued is 95%. = 0.0745
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman