Actuarial Notes

SOA Exam FAM Sample Question 4.15

Study guide: Exam FAM

For a special whole life insurance on (x), you are given:

(i) Death benefits are payable at the moment of death

(ii) The death benefit at time t is b_{t} = e^{0.02t}, for t \ge 0

(iii) \mu_{x+t} = 0.04, for t \ge 0

(iv) \delta = 0.06

(v) Z is the present value at issue random variable for this insurance

Calculate Var(Z).

[Question 4 on the Fall 2016 exam]

  • A) 0.020
  • B) 0.036
  • C) 0.052
  • D) 0.068
  • E) 0.083

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Concepts tested

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