Actuarial Notes

SOA Exam FAM Sample Question 102

Study guide: Exam FAM

You are given:

(i) For any random variable X, the risk measure is \rho(X) = \mu_X + k\sigma_X.

(ii) The variables Y and Z are defined as follows:

y P(Y = y)
0 0.2
1 0.8

and Z is constant with Z = 1.

Calculate the largest value of k such that \rho has the monotonicity property with respect to Y and Z.

  • A) 0.50
  • B) 0.75
  • C) 1.00
  • D) 1.25
  • E) 1.50

Answer this question and see the worked solution

Concepts tested

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