Question

Bynum and Crumpton, a small jewelry manufacturer, has been successful and has enjoyed a positive growth...

Bynum and Crumpton, 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 arc 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 5 million 10 million 500,000 Price per share $35.00 $47.00 NA Earnings per share $2.20 $3.13 $2.60 Free cash flow per share $1.63 $2.54 $2.00 Book value per share $16.00 $20.00 $18.00 Total assets 115 million 250 million 11 million Total debt 35 million 50 million 2 million.

a. B&C is a closely held corporation with 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 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.

b. 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.

c. Using Abercrombe's and Gunter's PM, 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? How does this compare with the price you get using the corporate valuation model?

Homework Answers

Answer #1

(a).

Year Free cash Flow Present value Factor @12% Present value of Cash flows
1 1000000 0.892 892000
2 1050000 0.797 836850
3 1208000 0.712 860096
4 1329000 0.635 843915
5 1462000 0.567 828954
Total 4261815

Growth rate is 7% per year after 5 years.

Cash flow after 5 years= 1462000 × 1.07 = 1564340

Today's price = 1564340/(0.12-0.07)

= $ 3,12,86,800

Discounted amount for 5th year@ 12% = 31286800 × 0.567

= $ 1,77,39,616

Total cash flow = 4261815 + 17739616 = $ 2,20,01,431

  • So, Intrinsic value of equity of B&C= $ 2,20,01,431
  • Intrinsic price per share of B&C = 22001431/500000 = $ 44 (rounded)

(b) .

Ratios Abercrombe Gunter B&C
Debt to total asset 35/115 = 30.43% 50/250= 20% 2/11= 18.18%
P/E 35/2.2 =15.91 47/3.13 = 15.02 44/2.6 = 16.92
Market to book
P/FCF 35/1.63 = 21.47 47/2.54= 18.50 44/2 =22
ROE
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