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FINM7403 Equity Valuation Part II

Chapter 18 Problem Sets Qs 1-6, 8*, 9*, 12,13

Question 1

In what circumstances would you choose to use a dividend discount model rather than a free cash flow model to value a firm?

Question 2

In what circumstances is it most important to use multistage dividend discount models rather than constant-growth models?

Question 3

If a security is underpriced (i.e., intrinsic value > price), then what is the relationship between its market capitalization rate and its expected rate of return?

Question 4

Deployment Specialists pays a current (annual) dividend of $1.00 and is expected to grow at 20% for 2 years and then at 4% thereafter. If the required return for Deployment Specialists is 8.5%, what is the intrinsic value of its stock?

Question 5

Jand. Inc., currently pays a dividend of $ 1.22, which is expected to grow indefinitely at 5%. If the current value of Jand's shares based on the constant-growth dividend discount model is $32.03, what is the required rate of return?

Question 6

A firm pays a current dividend of $1.00. which is expected to grow at a rate of 5% indefinitely. If current value of the firm's shares is $35.00, what is the required return based on the constant-growth dividend discount model (DDM)?

Question 8

a. Computer stocks currently provide an expected rate of return of 16%. MBI. a large computer company, will pay a year-end dividend of $2 per share. If the stock is selling at $50 per share, what must be the market's expectation of the dividend growth rate?

b. If dividend growth forecasts for MBI are revised downward to 5% per year, what will happen to the price of MBI stock?

c. What (qualitatively) will happen to the company's price-earnings ratio?

Question 9

a. MF Corp, has an ROE of 16% and a plowback ratio of 50%. If the coming year's earnings are expected to be $2 per share, at what price will the stock sell? The market capitalization rate is 12%.

b. What price do you expect MF shares to sell for in three years?

Question 12

Eagle Products' EBIT is $300, its tax rate is 21%, depreciation is $20, capital expenditures are $60, and the planned increase in net working capital is $30. What is the free cash flow to the firm?

Question 13

FinCorp's free cash flow to the firm is reported as $205 million. The firm's interest expense is $22 million. Assume the corporate tax rate is 21% and the net debt of the firm increases by $3 million. What is the market value of equity if the FCFE is projected to grow at 3% indefinitely and the cost of equity is 12%?

Chapter 18 CFA Problems 1, 3*, 9*, 10*

Problem 1

At Litchfield Chemical Corp. (LCC). a director of the company said that the use of dividend discount models by investors is “proof that the higher the dividend, the higher the stock price.

a. Using a constant-growth dividend discount model as a basis of reference, evaluate the director's statement.

b. Explain how an increase in dividend payout would affect each of the following (holding all other factors constant):

i. Sustainable growth rate.

ii. Growth in book value.

Problem 3

Abbey Naylor, CFA, has been directed to determine the value of Sundanci's stock using the Free Cash Flow to Equity (FCFE) model. Naylor believes that Sundanci's FCFE will grow at 27% for two years and 13% thereafter. Capital expenditures, depreciation, and working capital are all expected to increase proportionately with FCFE.

a. Calculate the amount of FCFE per share for the year 2018, using the data from ® Table 18A.

b. Calculate the current value of a share of Sundanci stock based on the two-stage FCFE model.

c.

i. Describe one limitation of the two-stage DDM model that is addressed by using the two-stage FCFE model.

ii. Describe one limitation of the two-stage DDM model that is not addressed by using the two-stage FCFE model.

Table 18A Sundanci actual 2017 and 2018 financial statements for fiscal years ending May 31 ($ million, except per-share data)

hicome Statement

2017

2018

Revenue

$ 474

S 598

Depreciation

20

23

Other operating costs

36S

460

Income before taxes

S6

115

Taxes

26

35

Net income

60

SO

Dividends

18

24

Earnings per share

S 0 714

S 0 952

Dividend per share

S 0 214

S 0.2S6

Common shares outstanding (millions)

840

84.0

Balance Sheet

2017

2018

Current assets

S 201

$ 326

Net property, plant, and equipment

474

4S9

Total assets

$ 675

$ SI5

Current liabilities

57

141

Long-term debt

0

0

Total liabilities

$ 57

$ 141

Shareholders' equity

61S

674

Total liabilities and equity

675

815

Capital expenditures

34

38

Problem 9*

9. Rio National Corp, is a U.S.-based company and the largest competitor in its industry. ® Tables 18F through 181 present financial statements and related information for the company. © Table 18J presents relevant industiy and market data.

The portfolio manager of a large mutual fund comments to one of the fund's analysts, Katrina Shaar: "We have been considering the purcliase of Rio National Corp, equity shares, so I would like you to analyze the value of the company. To begin, based on Rio National's past performance, you can assume that the company will grow at the same rate as the industry?

a. Calculate the intrinsic value of a share of Rio National equity on December 31, 2020. using the Gordon constant-growth model and the capital asset pricing model.

b. Calculate the sustainable growth rate of Rio National on December 31, 2020. Use 2020 beginning-of-year balance sheet values.

Table 18F Rio National Corp, summary year-end balance sheets (U.S. $ millions)

 

2020

2109

Cash

$ 13.00

$ 5.87

Accounts receivable

30.00

27.00

Inventoiy

209.06

189.06

Current assets

$ 252.06

$ 221.93

Gross fixed assets

474.47

409.47

Accumulated depreciation

(154.17)

(90.00)

Net fixed assets

$ 320.30

$ 319.47

Total assets

$ 572.36

$ 541.40

Accounts payable

$ 25.05

$ 26.05

Notes payable

0.00

0.00

Current portion of long-term debt

0.00

0.00

Current liabilities

$ 25.05

$ 26.05

Long-term debt

240.00

245.00

Total liabilities

$ 265.05

$ 271.05

Common stock

160.00

150.00

Retained earnings

147.31

120.35

Total shareholders' equity

$ 307.31

$ 270.35

Total liabilities and shareholders' equity

$ 572.36

$ 541.40

 

Table 18J Industry and market data December 31, 2019

Risk-free rate of return

4.00%

Expected rate of return on market index

9.00%

Median industiy price/earnings (P/E) ratio

19.90

Expected industiy earnings growth rate

12.00%


Table 181 Rio National Corp, common equity data for 2019

Dividends paid (U.S. $ millions)

$3.20

Weighted-average shares outstanding

16.000.000

Dividend per share

$0.20

Earnings per share

$1.89

Beta

1.80

 

Table 181

Revenue

$300.8

Operating expenses

$(173.74)

Operating Profit

$127.06

Gain on Sale

$4.00

EBITDA

$131.06

Depreciation

$(71.17)

EBIT

$59.89

Interest

$(16.80)

Income tax expense

$(12.93)

Net income

$30.16

 

Problem 10

10. While valuing the equity of Rio National Corp, (see CFA Problem 9). Katrina Shaar is considering the use of either cash page ^12 flow from operations (CFO) or free cash flow to equity (FCFE) in her valuation process.

a. State two adjustments that Shaar should make to cash flow from operations to obtain free cash flow to equity.

b. Shaar decides to calculate Rio National's FCFE for the year 2019. starting with net income. Determine fbr each of the five supplemental notes given in ® Table 18H whether an adjustment should be made to net income to calculate Rio National's free cash flow to equity fbr the year 2019. and the dollar amount of any adjustment.

c. Calculate Rio National's free cash flow to equity for the year 2019.

Table 18H Rio National Corp, supplemental notes for 2019

Note 1:

Rio National had $75 million in capital expenditures during the year.

Note 2:

A piece of equipment that was originally purchased for $10 million was sold for $7 million at year- end, when it had a net book value of $ 3 million. Equipment sales are unusual for Rio National.

Note 3:

The decrease in long-term debt represents an unscheduled principal repayment; there was no new borrowing during the year.

Note 4:

On January 1,2019, the company received cash from issuing 400,000 shares of common equity at a price of $25.00 per share.

Note 5:

A new appraisal during the year increased the estimated market value of land held for investment by $2 million, which was not recognised in 2019 income.

 

The University of Queensland