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	582	650	818	965	995
NOA	1,359	1,631	1,935	2,311	2,760	2,826

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 $(279) 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. Use your rounded answers for subsequent calculations.

Reported	Horizon Period
(In millions)	2011	2012	2013	2014	2015	Terminal Period
ROPI (NOPAT - [NOABeg rw]) (rounded to nearest whole number)		Answer	Answer	Answer	Answer	Answer
Discount factor [1 / (1 + rw)t ] (rounded to 5 decimal places)		Answer	Answer	Answer	Answer
Present value of horizon ROPI(rounded to nearest whole number)		Answer	Answer	Answer	Answer
Cum present value of horizon ROPI	$ Answer	(use rounded numbers from above to calculate)
Present value of terminal ROPI	Answer	(rounded to nearest whole number)
NOA	Answer
Total firm value	Answer
NNO (negative NNO)	Answer
Firm equity value	$Answer
Shares outstanding (millions)	Answer	(rounded to one decimal place)
Stock price per share	$Answer	(rounded to 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?

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 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 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.