Estimating Share Value Using the ROPI Model Assume following are forecasts of Abercrombie & Fitch's sales, net operating profit after tax (NOPAT), and net operating assets (NOA) as of January 29, 2011. Refer to the information in the table to answer the following requirements.

	Reported	Horizon Period
(In millions)	2011	2012	2013	2014	2015	Terminal Period
Sales	$ 3,750	$ 4,500	$ 5,400	$ 6,480	$ 7,776	$ 7,853
NOPAT	464	581	679	815	957	978
NOA	1,350	1,624	1,922	2,306	2,798	2,796

Answer the following requirements assuming a discount rate (WACC) of 13.3%, a terminal period growth rate of 1%, common shares outstanding of 86.2 million, and net nonoperating obligations (NNO) of $(288) million (negative NNO reflects net nonoperating assets such as investments rather than net obligations). (a) Estimate the value of a share of Abercrombie & Fitch common stock using the residual operating income (ROPI) model as of January 29, 2011.

Rounding instructions:

Round answers to the nearest whole number unless noted otherwise.

Use your rounded answers for subsequent calculations.

Do not use negative signs with any of your answers.

	Reported	Horizon Period
(In millions)	2011	2012	2013	2014	2015	Terminal Period
ROPI (NOPAT - [NOABeg rw])
Discount factor [1 / (1 + rw)t ]	(Round5 decimal places)
Present value of horizon ROPI
Cum present value of horizon ROPI
Present value of terminal ROPI
NOA
Total firm value
NNO
Firm equity value
Shares outstanding (millions)		(round one decimal place)
Stock price per share		(round two decimal places)

(b) Assume Abercrombie & Fitch (ANF) stock closed at $77.56 on March 2, 2011. How does your valuation estimate compare with this closing price? What do you believe are some reasons for the difference?

Our stock price estimate is lower than the ANF market price, indicating that we believe that ANF stock is undervalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our lower stock price estimate might be due to more optimistic forecasts or a lower discount rate compared to other investors' and analysts' model assumptions.

Our stock price estimate is lower than the ANF market price, indicating that we believe that ANF stock is overvalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our lower stock price estimate might be due to more pessimistic forecasts or a higher discount rate compared to other investors' and analysts' model assumptions.

Stock prices are a function of many factors. It is impossible to speculate on the reasons for the difference.

Our stock price estimate is lower than the ANF market price, indicating that we believe that ANF stock is overvalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our lower stock price estimate might be due to more optimistic forecasts or a lower discount rate compared to other investors' and analysts' model assumptions.