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Reading 49: Residual Income Valuation - LOS c, (Part 1) ~

1.Expert Systems has a beginning book value per share of $7.00, an expected growth rate of 15 percent, this year's forecasted earnings per share of $1.25, and a required rate of return of 17 percent. Assuming that the dividend remains constant at $0.75 per share, what is next year’s expected residual income per share?

A)   $1.44.

B)   $0.16.

C)   $0.13.

D)   $5.75.

2.Diamond Corp. (DC) has a beginning book value per share of $5.00, an expected growth rate of 15 percent, forecasted earnings per share of $1.20, and a required rate of return of 17 percent. Assuming that the dividend remains constant at $0.55 per share, what is next year’s expected residual income per share?

A)   $1.38.

B)   $0.42.

C)   $0.50.

D)   $5.83.

3.Craig Griffith, CFA, is valuing Specialty Steels, Inc. The following information is available:

Current market price per share

$18.00

Book value per share (FY 2002) BV0

$12.00

Consensus EPS estimates:

 

FY 2002

$ 2.00

FY 2003

$ 2.15

Dividends per share

 

FY 2002

$ 1.00

FY 2003

$ 1.00

FY 2002 NOPAT per share

$ 2.50

Specialty Steel’s (equity) Beta

1.10

Expected market rate of return

12.0%

Specialty Steel’s after-tax cost of debt

8.0

Risk-free rate

6.0%

Specialty Steel’s Debt to Total Assets

50%

What is Specialty Steel’s weighted average cost of capital (WACC)?

A)   12.60%.

B)   13.60%.

C)   11.07%.

D)   10.30%.

4.If the total capital per share is same as the book value, what is Specialty Steel’s economic value added (EVA®) per share for FY 2002?

A)   $1.264.

B)   $3.736.

C)   $0.646.

D)   $2.27.

5.What is Specialty Steel’s forecasted residual income for FY 2002 and 2003?

A)   2002, $0.51; 2003, $0.49.

B)   2002, $0.49; 2003, $0.51.

C)   2002, $0..98; 2003, $1.10.

D)   2002, $1.01; 2003, $1.13.

6.Using FY 2002 data, what is the market’s expectation of the growth in residual income?

A)   16.7%.

B)   8.2%.

C)   20.8%.

D)   4.4%.

7Expert Systems (ES) has a beginning book value per share of $6.00, an expected growth rate of 15 percent, forecasted earnings per share of $1.50, and a required rate of return of 17 percent. Assuming that the dividend remains constant at $0.75 per share, what is next year’s expected residual income per share?

A)   $0.58.

B)   $1.73.

C)   $0.50.

D)   $7.73.

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答案和详解如下:

1.Expert Systems has a beginning book value per share of $7.00, an expected growth rate of 15 percent, this year's forecasted earnings per share of $1.25, and a required rate of return of 17 percent. Assuming that the dividend remains constant at $0.75 per share, what is next year’s expected residual income per share?

A)   $1.44.

B)   $0.16.

C)   $0.13.

D)   $5.75.

The correct answer was B)

EPS next year = 1.25 × 1.15 = $1.44. Forecast book value per share = BV0 + EPS – D = 7.00 + 1.25 – 0.75 = $7.5. The per share equity charge is 7.5 × 0.17 = $1.28. Thus, residual income is expected to be 1.44 – 1.28 = $0.16.

2.Diamond Corp. (DC) has a beginning book value per share of $5.00, an expected growth rate of 15 percent, forecasted earnings per share of $1.20, and a required rate of return of 17 percent. Assuming that the dividend remains constant at $0.55 per share, what is next year’s expected residual income per share?

A)   $1.38.

B)   $0.42.

C)   $0.50.

D)   $5.83.

The correct answer was B)

EPS next year = 1.20 × 1.15 = $1.38. Forecast book value per share = BV0 + EPS – D = 5.00 + 1.20 – 0.55 = $5.65. The per share equity charge is 5.65 × 0.17 = $0.961. Thus, residual income is expected to be 1.38 – 0.961 = $0.42.

3.Craig Griffith, CFA, is valuing Specialty Steels, Inc. The following information is available:

Current market price per share

$18.00

Book value per share (FY 2002) BV0

$12.00

Consensus EPS estimates:

 

FY 2002

$ 2.00

FY 2003

$ 2.15

Dividends per share

 

FY 2002

$ 1.00

FY 2003

$ 1.00

FY 2002 NOPAT per share

$ 2.50

Specialty Steel’s (equity) Beta

1.10

Expected market rate of return

12.0%

Specialty Steel’s after-tax cost of debt

8.0

Risk-free rate

6.0%

Specialty Steel’s Debt to Total Assets

50%

What is Specialty Steel’s weighted average cost of capital (WACC)?

A)   12.60%.

B)   13.60%.

C)   11.07%.

D)   10.30%.

The correct answer was D)

 Ke    = rf + b (rm – rf)

= 6 + 1.10(12-6)

= 12.60%

WACC = Wdr*d + WeKe

  = 0.50 (8) + 0.50 (12.60) 

= 10.30%

4.If the total capital per share is same as the book value, what is Specialty Steel’s economic value added (EVA®) per share for FY 2002?

A)   $1.264.

B)   $3.736.

C)   $0.646.

D)   $2.27.

The correct answer was A)

 EVA per share = NOPAT per share – C% × TC (per share)

= 2.50 – (0.1030) × (12.00)

= 2.50 – 1.236

= $1.264

5.What is Specialty Steel’s forecasted residual income for FY 2002 and 2003?

A)   2002, $0.51; 2003, $0.49.

B)   2002, $0.49; 2003, $0.51.

C)   2002, $0..98; 2003, $1.10.

D)   2002, $1.01; 2003, $1.13.

The correct answer was B)

 

FY 2002

FY 2003

Beg. Book Value (BV0)

12.00

13.00

EPS (E)

2.00

2.15

DPS (D)

1.00

1.00

Forecast Book Value (BV0 + E –D)

13.00

14.15

Equity Charge per share (BV0 × r)

1.51

1.64

RI per share(E – Equity Charge)

0.49

0.51

6.Using FY 2002 data, what is the market’s expectation of the growth in residual income?

A)   16.7%.

B)   8.2%.

C)   20.8%.

D)   4.4%.

The correct answer was D)

g = r - {[b0x(ROE - r)] / (V0 - B0)}

ROE = 2.00/12.00 = 0.167

g = 0.126 - {[12x(0.167 - 0.126] / (18 - 12)}

  = .126 -0.082

  = 4.4%

7Expert Systems (ES) has a beginning book value per share of $6.00, an expected growth rate of 15 percent, forecasted earnings per share of $1.50, and a required rate of return of 17 percent. Assuming that the dividend remains constant at $0.75 per share, what is next year’s expected residual income per share?

A)   $0.58.

B)   $1.73.

C)   $0.50.

D)   $7.73.

The correct answer was A)

EPS next year = 1.50 × 1.15 = $1.73. Forecast book value per share = BV0 + EPS – D = 6.00 + 1.50 – 0.75 = $6.75. The per share equity charge is 6.75 × 0.17 = $1.15. Thus, residual income is expected to be 1.73 – 1.15 = $0.58.

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