Question

New Stock Issue

Bynum and Crumpton Inc. (B&C), a small jewelry manufacturer, has been successful and has enjoyed a positive growth trend. Now B&C is planning to go public with an issue of common stock, and it faces the problem of setting an appropriate price for the stock. The company and its investment banks believe that the proper procedure is to conduct a valuation and select several similar firms with publicly traded common stock and to make relevant comparisons.
Several jewelry manufacturers are reasonably similar to B&C with respect to product mix, asset composition, and debt/equity proportions. Of these companies, Abercrombe Jewelers and Gunter Fashions are most similar. When analyzing the following data, assume that the most recent year has been reasonably "normal" in the sense that it was neither especially good nor especially bad in terms of sales, earnings, and free cash flows. Abercrombe is listed on the AMEX and Gunter on the NYSE, while B&C will be traded in the Nasdaq market.

Company data	Abercrombe		Gunter		B&C
Shares outstanding	6 million		10 million		500,000
Price per share	$32.00		$46.00		NA
Earnings per share	$2.20		$3.13		$2.60
Free cash flow per share	$1.63		$2.54		$1.90
Book value per share	$16.00		$23.00		$19.00
Total assets	$131 million		$280 million		$13.5 million
Total debt	$35 million		$50 million		$4 million

1. B&C is a closely held corporation with only 500,000 shares outstanding. Free cash flows have been low and in some years negative due to B&C's recent high sales growth rates, but as its expansion phase comes to an end B&C's free cash flows should increase. B&C anticipates the following free cash flows over the next 5 years:

   Year	1	2	3	4	5
   FCF	$1,000,000	$1,050,000	$1,208,000	$1,329,000	$1,462,000

   After Year 5, free cash flow growth will be stable at 7% per year. Currently, B&C has no non-operating assets, and its WACC is 12%. Using the free cash flow valuation model, estimate B&C's intrinsic value of equity and intrinsic per share price. Do not round intermediate calculations. Round your answers for the value of equity to the nearest dollar and for the value of equity per share to the nearest cent.

   Value of equity	$
   Per share value of equity	$

2. Calculate debt to total assets, P/E, market to book, P/FCF, and ROE for Abercrombe, Gunter, and B&C. For calculations that require a price for B&C, use the per share price you obtained with the corporate valuation model in Part a. Do not round intermediate calculations. Round your answers to two decimal places.

   	Abercrombe		Gunter		B&C
   D/A		%		%		%
   P/E
   Market/Book
   ROE		%		%		%
   P/FCF

3. Using Abercrombe's and Gunter's P/E, Market/Book, and Price/FCF ratios, calculate the range of prices for B&C's stock that would be consistent with these ratios. For example, if you multiply B&C's earnings per share by Abercrombe's P/E ratio you get a price. What range of prices do you get? Do not round intermediate calculations. Round your answers to the nearest cent.

   The range of prices:
   from $   to $  

Answer 1

Year FCF Discount rates @ 12% 1 $1,000,000.00 2 $1,050,000.00 3 $ 1,208,000.00 4 $1,329,000.00 5 $1,462,000.00 NPV at the end of 5th Year Present value of FCF's 0.8929 $ 892,857.14 0.7972 $ 837,053.57 0.7118 $ 859,830.54 0.6355 $ 844,603.53 0.5674 $ 829,578.06 $ 4,263,922.84 (a) Terminal Value Calculation (FCF of 5th year*(1+growth rate))/(WACC-Growth rate) =($1,462,000*(1.07))/(12%-7%) =$31,286,800 Present Value=$31,286,800/(1.1245) =$17,752,970.55 | $ 17,752,970.55 C=(a)+(b) $ Value of Equity Number of shares outstanding Per Share value of equity 22,016,893.39 500,000.00 44.03 E=C/D

D/A Debt/Asset Abrecombre Gunter B&C Abrecombre Gunter B&C 35Mn/131Mn 50Mn/280Mn 4Mn/13.5Mn $32/$2.20 $46/$3.13 $44.03/$2.60 26.72% 17.86% 29.63% 14.55 14.70 16.93 P/E Market Price/Earnings per share Price per share/Book Value Market Abrecombre to book Gunter B&C Abrecombre P/FCF Gunter B&C Abrecombre Gunter ROE $32/$16 $46/$23 $44.03/$19 $32/$1.63 $46/$2.54 $44.03/$1.90 $2.2/$16 $3.13/$23 2.00 2.00 2.32 19.63 18.11 23.17 13.75% 14.35% Price per share/Free cash flow B&C Earnings per share/Book value per share $2.6/$19 13.68%

Price based on Abrecombre's C1 PE B&C's EPS*P/E of abre B&C's EPS*P/E of Gunter $2.6*$14.55 $2.6*$14.70 $ 37.83 $ 38.22 $19*2 $ 38.00 Book value per share of B&C*M/B Price based on Gunter's PE Price based on Abrecombre's Market to book Price based on Gunter's Market to Book Price based on Abrecombre's Price/FCF Price based on Gunter's Price/FCF $19*2 $ 38.00 1.9*$19.63 $ 37.30 FCF per share of B&C*P/FCF 1.9*$18.11 $ 34.41

Year FCF Discount rates @ 12% 1,000,000.00 1,050,000.00 1,208,000.00 1,329,000.00 1,462,000.00 Net present value at the end of 5th year Present values of FCFS 0.892857143 $ 892,857.14 0.797193878 $ 837,053.57 0.711780248 $ 859,830.54 0.635518078 $ 844,603.53 0.567426856 $ 829,578.06 $ 4,263,922.84 Terminal Value $1,462,000.00*1.07 =$1,564,340 $1,564,340/(12%-7%)=$31,286,800 $31,286,800/1.1245 $ $ C(A=B) Value of equity No of shares outstanding per share value of equity 17,752,970.55 22,016,893.39 500000 44.03 $

D/A Debt/Asset Abrecombre Gunter B&C Abrecombre Gunter B&C 35Mn/131Mn 50Mn/280Mn 4Mn/13.5Mn $32/$2.20 $46/$3.13 $44.03/$2.60 26.72% 17.86% 29.63% 14.55 14.70 16.93 P/E Market Price/Earnings per share Price per share/Book Value Market Abrecombre to book Gunter B&C Abrecombre P/FCF Gunter B&C Abrecombre Gunter ROE $32/$16 $46/$23 $44.03/$19 $32/$1.63 $46/$2.54 $44.03/$1.90 $2.2/$16 $3.13/$23 2.00 2.00 2.32 19.63 18.11 23.17 13.75% 14.35% Price per share/Free cash flow B&C Earnings per share/Book value per share $2.6/$19 13.68%

Price based on Abrecombre's C1 PE B&C's EPS*P/E of abre B&C's EPS*P/E of Gunter $2.6*$14.55 $2.6*$14.70 $ 37.83 $ 38.22 $19*2 $ 38.00 Book value per share of B&C*M/B Price based on Gunter's PE Price based on Abrecombre's Market to book Price based on Gunter's Market to Book Price based on Abrecombre's Price/FCF Price based on Gunter's Price/FCF $19*2 $ 38.00 1.9*$19.63 $ 37.30 FCF per share of B&C*P/FCF 1.9*$18.11 $ 34.41