Reverse Engineering with the PB Ratio Assume the following table provides summary data for Family Dollar, Inc. (in millions). Analysts will often use the observed PB ratio to infer market expectations regarding a company's future performance under various assumptions. (Round your answers to one decimal place.) Market value of equity $56,000 Book value of equity $28,000 ROE (based on trailing 4 quarters) 12% EPS Growth (based on trailing 4 quarters) 13% (a) Assume that the market's expectations of future ROE and the discount rate are 12% and 9%, respectively. Solve for the implied growth rate. Do not round until your final answer. 7.5 * % (b) Assume that the market's expectations of future ROE and the growth rate are 12% and 4%, respectively. Solve for the implied discount rate. Do not round until your final answer. 6.7 X % (c) Assume that the market's expectations of th (b) Assume that the market's expectations of future ROE and the growth rate are 12% and 4%, respectively. Solve for the implied discount rate. Do not round until your final answer. 6.7 * % (c) Assume that the market's expectations of the discount rate and the growth rate are 9% and 4%, respectively. Solve for the implied future ROE. Do not round until your final answer. 19 * % (d) Do the market expectations implied from the results of parts (a) through (c) seem reasonable? yes The expectations from (a) will be difficult to obtain since the implied growth rate is in residual income, not total income. no The expectations from (b) will be difficult to obtain since the implied discount rate is higher than the growth rate. yes The expectations from (c) will be difficult to obtain since the implied future ROE greater than past ROE