Question

Company XYZ will pay a death benefit of $1000 to each of its 5000 employees who...

Company XYZ will pay a death benefit of $1000 to each of its 5000 employees who die in the upcoming year. There is 3% chance that an employee will die in the upcoming year.

Determine the amount of funds that Company XYZ needs to have if the company wants to have a 95% probability of having sufficient money to pay the benefits. (You may ignore the continuity correction.)

Homework Answers

Answer #1

The number of employees who die out of the 5000 employees in the coming year could be modelled here as:

This can be approximated to a normal distribution here as:

From standard normal tables, we have here:
P(Z < 1.645) = 0.95

Therefore the amount of funds here is computed as:
= Mean + 1.645*Sd

Therefore the funds amount here is computed as:
= 169.84*$1000

= $169,842.55

Therefore $169,842.55 is the required amount of funds here

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