Actuarial Notes

CAS Exam 7 Spring 2017, Question 19

Study guide: Exam 7

Given the following financial information for an insurer as of December 31, 2016:

Dividend payout ratio: 75.0%
Expected equity market risk premium: 5.0%
Risk-free rate: 2.3%
Insurer's equity beta: 1.10
Calendar Year Projections ($000) 2017 2018 2019
GAAP equity (beginning of period) 100,000
Net income 20,000 22,500 25,000

Part a (0.25 points)

Calculate the insurer's risk-adjusted discount rate using the Capital Asset Pricing Model.

Part b (1.75 points)

Calculate the value of this insurer as of December 31, 2016, using the dividend discount model.

Part c (1.25 points)

Calculate the value of this insurer as of December 31, 2016, using the abnormal earnings model, assuming forecast horizon abnormal earnings are constant after the projected periods.

Part d (0.5 points)

Explain the difference in the insurer's calculated value between the dividend discount model and the abnormal earnings method.

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

Answer this question and see the worked solution

Concepts tested

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