Actuarial Notes

CAS Exam 6C Spring 2017, Question 12

Study guide: Exam 6C

The following information is available for a property and casualty insurance company as at December 31, 2016. All amounts are in thousands of dollars ($000s).

Held-to-Maturity Bond Portfolio Available-for-Sale Bond Portfolio Fair Value Option Bond Portfolio
Cash flow from 2017 1,000.0 500.0 2,000.0
Cash flow from 2018 1,000.0 750.0 1,500.0
Cash flow from 2019 500.0 1,000.0 1,500.0
Market Value 2,291.3 2,020.3 4,561.1

Calendar year claims payout pattern

2017 2018 2019
40% 35% 25%

Other information:

  • Effective market yield: 5%
  • Undiscounted losses and adjustment expenses: 5,000
  • Assume all asset and liability cash flows are made at the end of the year.
  • The market value of each bond corresponds to the present value of cash flows discounted at the effective yield.
  • MfAD for claims development: 8%
  • MfAD investment return rates: 0.5%
  • Assume that there are no income taxes.

A change in interest rates occurs on December 31, 2016 which causes the yield to decrease from 5% to 4%.

Calculate the impact of the rate decrease on the following:

  • i. Net Income
  • ii. Other Comprehensive Income
  • iii. Equity

Part a (3.5 points)

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