Question #127

Reading: Reading 20 Discounted Dividend Valuation

PDF File: Reading 20 Discounted Dividend Valuation.pdf

Page: 52

Status: Unattempted

Part of Context Group: Q127-130 First in Group
Shared Context
of 135 The Gordon growth model is most likely to produce useful results when the dividend growth rate is: A) negative. B) greater than the required rate of return. C) equal to the required rate of return. A team of analysts at WSM investments are currently analyzing the equity value of Shotput Inc., which they believe may be a potential takeover target for some of its rivals. Three of the analysts, Jeff Capes, CFA, Sven Karlson, CFA, and Zydrunas Savickas, CFA, are using the dividend discount model to try to value the company. Jeff Capes, CFA, decided to use the constant growth Dividend Discount Model (DDM) to estimate the equity value. He is using the following information from Shotput's financial statements for the year just ended: Income Statement $m Revenues 850 COGS 580 SG&A 200 Depreciation expense 50 Earnings before tax 20 Taxes 10 Net income 10 Dividend 6 Balance Sheet $m Cash 10 Accounts receivable 450 Prepaid expenses 50 Fixed assets 400 Total assets 910 Current liabilities 550 Long-term debt 156 Equity 204 Total liabilities & equity 910 In order to calculate Return on Equity, Jeff calculates and uses the opening equity figure of $200m. Capes has identified a company in the same industry, Discus Inc., which has the same size and risk characteristics as Shotput. He has decided to use the following information on Discus to estimate a required return for equity holders of Shotput: Equity market value $62.94m Dividend just paid $5.5m Sustainable growth rate 3% Capes is also interested in calculating the present value of growth opportunities (PVGO) for Shotput. He is proposing to use the last dividend paid by Shotput and divide it by the required rate of return to get the value of its assets in place, and compare this to the fundamental value to get PVGO. Sven Karlson, CFA, is also estimating an equity value for Shotput using the DDM. He has estimated a required return for equity of 11% using the Capital Asset Pricing Model. He has also picked up the dividends just paid as $6m from the financial statements. Karlson, however, is uncertain about how dividends will grow and feels that Shotput has a competitive advantage over its rivals in the short term, which will lead to increased dividend growth for the next few years. He has therefore assumed that for the first three years the dividend growth rate will be 7% p.a., and then will decline linearly over the next six years to 2% p.a., a growth rate that will then be sustained for the foreseeable future. Zydrunas Savickas, however, has questioned the use of the DDM for the purposes of their research. They are hoping to present their findings to one of Shotput's competitors who they feel may be in a position to launch a takeover bid and realize a gain from Shotput's current undervaluation. Savickas states, "While I accept that a benefit of the dividend discount model is that the resulting valuation is not very sensitive to changes in the required rate of return assumption, as we are looking at a potential takeover, it may be more appropriate to consider a free cash flow model. The dividend discount model is most appropriate from the perspective of a minority shareholder."
Question
Using Shotput's financial statements and Jeff Cape's estimates, calculate an equity value for Shotput using the constant growth DDM:
Answer Choices:
A. $60.0m
B. $61.2m
C. $66.7m
Explanation
P0 = D0 (1 + g) / (r – g) g = RR × ROE = ($4m / $10m) × ($10m / $200m) = 0.4 × 0.05 = 0.02 Using information re: Discuss and rearranging the DDM: r = d0(1 + g) / P0 + g r = $5.5m(1.03) / $62.94m + 0.03 = 0.12 P0 = $6m(1.02) / (0.12 – 0.02) = $61.2m
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