Actuarial Notes

CAS Exam 7 Spring 2018, Question 19

Study guide: Exam 7

A company's equity is valued at $276,716,000 based on the following assumptions:

2018 2019 2020
Net Income ($000) 22,000 28,000 34,000
Starting GAAP Equity ($000) 189,200 190,300 191,700
  • The risk free interest rate = 4.0%.
  • The equity market risk premium = 5.0%.
  • The company's beta = 0.8.
  • After 2020, the company's abnormal earnings decrease linearly until reaching zero in 2031.

Financial ratios for several peer companies are summarized below:

Price/Earnings Price/Sales Price/Cash Flow Price/Book
Peer 1 12.5 1.0 8.0 1.29
Peer 2 13.4 0.9 7.7 1.59
Peer 3 12.5 2.1 14.1 1.37
Peer 4 12.9 4.5 12.8 1.76

Part a (1.5 points)

Calculate the change in the estimated equity value if the abnormal earnings are assumed to decrease linearly to zero in 2023 instead of in 2031.

Part b (1 point)

Justify whether 2 years or 10 years of non-zero abnormal earnings after 2020 produces a more reasonable answer.

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

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Concepts tested

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