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Expert-verified Found in: Page 440 ### Essentials Of Investments

Book edition 9th
Author(s) Zvi Bodie, Alex Kane, Alan Marcus, Alan J. Marcus
Pages 748 pages
ISBN 9780078034695

# Janet Ludlow’s firm requires all its analysts to use a two-stage DDM and the CAPM to value stocks. Using these measures, Ludlow has valued QuickBrush Company at $63 per share. She now must value SmileWhite Corporation.a. Calculate the required rate of return for SmileWhite using the information in the following table: December 2010 Quick brushSmile whiteBeta1.351.15Market price$45$30Intrinsic value$63?b. Ludlow estimates the following EPS and dividend growth rates for SmileWhite:First three years12% per yearYears thereafter9% per yearEstimate the intrinsic value of SmileWhite using the table above and the two-stage DDM. Dividends per share in 2010 were $1.72.c. Recommend QuickBrush or SmileWhite stock for purchase by comparing each company’s intrinsic value with its current market price.d. Describe one strength of the two-stage DDM in comparison with the constant-growth DDM. Describe one weakness inherent in all DDMs. a. 16% b.$28.89

c. QuickBrush has potential for abnormal returns while SmileWhite has below market risk adjusted returns.

d. Strength: It allows for separate valuation of two distinct periods in company’s future.

Weakness: They are very sensitive to input values.

See the step by step solution

## Step 1: Calculation of required rate of return ‘a’

Formula: k = rf + β [E(rM) – rf ]

= 0.045 + 1.15 x (0.145 - 0.045)

= 0.16 or 16%

## Step 2: Estimation of intrinsic value ‘b’

Year Dividends

2007 $1.722014 2008$1.72 x 1.12 = $1.932015 2009$1.72 x (1.12)2 = $2.162016 2010$1.72 x (1.12)3 = $2.422017 2011$1.72 x (1.12)3 x 1.09 = $2.63 Present value (PV) of dividends paid in years 2014 to 2016: Year PV of Dividends 2008$1.93/1.16 = $1.662014 2009$2.16/(1.16)2 = $1.61 2010$2.42/(1.16)3 = $1.55 Total:$4.82

P2010 = D2003 / k－g = $2.630 / 0.16－ 0.0 9 =$37.57

PV (in 2013) of P2010 = $37.57/(1.16)3 =$24.07

Intrinsic value of stock = $4.82 +$24.07 = \$28.89

## Step 3: Calculation of intrinsic values of two companies ‘c’

From the comparison of the Intrinsic values of two companies, it is noted that QuickBrish is selling below while QuickSmile is selling above intrinsic value. This implies that QuickBrush has the potential for abnormal returns while SmileWhite has slightly below market risk adjusted returns.

## Step 4: Explanation of one strength and one shortcoming of two-stage DDM compared to constant growth DDM

Strength: It allows for separate valuation of two distinct periods in company’s future.

Weakness: They are very sensitive to input values. ### Want to see more solutions like these? 