You are given

${}_x=0\mathrm{.}04$ for any ages.

The force of interest, $,$ is $6\%.$

The policyholder whose current age is $60$ is about to make the $10-$year term

life insurance contract.

The death benefit is payable at the moment of death.

The death benefit amount is $$40,000.$

Q$1.$ Calculate the actuarial present value $($or expected present value$).$

$[$Express by two decimal points.$]$

Q$2.$ Calculate the standard deviation associated with present value

random variable. $($Risk$-$free question$)$

$[$Express by two decimal points.$]$

$-$Q$3.$ Calculate the probability that the present value of the death benefit

is less than $$24,000.$

$[$Express by four decimal points.$]$

Q$4$: Calculate the probability that the present value of the death benefit

is between $$18,000$ and $$28,000.$

$[$Express by four decimal points.$]$

$($Risk$-$free question$)$