Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 41

Study guide: Exam MAS-II

Two time series (X and Y) are shown in the graph below:

The autocorrelation variance function (acvf) and cross covariance function (ccvf) are estimated at lags 0, 1, 2 & 3 in the table below.

Lag acvf(x) acvf(y) ccvf(x,y)
0 4.165 4.655 2.626
1 1.594 1.960 3.422
2 1.123 0.518 0.950
3 0.478 1.064 0.389

Calculate the sample lag 1 cross-correlation.

  • A) Less than 0.30
  • B) At least 0.30, but less than 0.55
  • C) At least 0.55, but less than 0.80
  • D) At least 0.80, but less than 1.05
  • E) At least 1.05

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