Actuary Certification Actuary Certification Life Contingencies

Question 1

What does the curtate future lifetime K(x) represent for a life aged x?

Accepted Answer

The integer part of the future lifetime

Answer

The complete future lifetime in continuous time

Answer

The expected remaining years at exact age x

Answer

The force of mortality at age x

Question 2

The probability that a life aged 30 survives to age 40 is denoted as:

Accepted Answer

10p30

Answer

q30

Answer

10q30

Answer

p40

Question 3

Which life table function gives the expected number of deaths between exact ages x and x+1 out of a cohort of l0 lives?

Accepted Answer

dx

Answer

lx

Answer

qx

Answer

mx

Question 4

The force of mortality μ(x) is best described as:

Accepted Answer

The instantaneous rate of mortality at exact age x

Answer

The probability of death in the next year

Answer

The expected lifetime from birth

Answer

The number of survivors at age x

Question 5

Under the Uniform Distribution of Deaths (UDD) assumption, qx+t for 0 < t < 1 equals:

Accepted Answer

t · qx

Answer

(1−t) · qx

Answer

qx / t

Answer

qx^t

Question 6

The net single premium for a whole life insurance of 1 payable at the moment of death for (x) is denoted:

Accepted Answer

Āx

Answer

Ax

Answer

äx

Answer

ax