Actuarial Notes

CAS Exam 6C Spring 2019, Question 17

Study guide: Exam 6C

The following information is available for a property and casualty insurance company as at December 31, 2018.

Item Value
Risk cost of capital 10%
Risk-free interest rate 2%
Required margin (as a percentage of claims liabilities) 15%
Target capital to required capital ratio 3.0
Undiscounted value of liabilities to be commuted $5,000,000

Calendar year liability payment pattern:

Calendar year Liability payment pattern
2019 50%
2020 30%
2021 20%

All claim payments are made mid-year.

Calculate the commuted value of claims as at December 31, 2018.

Part a (2 points)

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Concepts tested

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