Actuarial Notes

CAS Exam 7 Spring 2013, Question 11

Study guide: Exam 7

Given the following information for an insurance company ($000,000):

Calendar Year 2013 Calendar Year 2014 Calendar Year 2015
Beginning US GAAP equity 100
Net income 15 16 17
Minimum capital needed at year-end to maintain current rating 110 120 130
  • Risk-free rate: 2.0%
  • Expected market return for peer companies: 10.0%
  • Insurance company's equity beta: 1.25
  • CAPM is an appropriate model for determining the company's risk-adjusted discount rate.
  • The company plans to maintain its current rating by meeting the minimum capital requirements.

Part a (3 points)

Determine the value of the insurance company as of January 1, 2013 based on the free cash flow to equity method.

Part b (0.5 points)

Explain why the free cash flow to equity method is preferable to the free cash flow to the firm method for valuing a property and casualty insurer.

No current syllabus covers this question; it is kept for the record.

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