Final answer:
To estimate Big Auto's growth rate, we can use the formula: ROE = (Earnings per Share / Book Value per Share) x (1 + Growth Rate).
Step-by-step explanation:
To estimate Big Auto's growth rate, we can use the formula: ROE = (Earnings per Share / Book Value per Share) x (1 + Growth Rate). We are given that the ROE is 8.6% and the Earnings per Share is $0.97. We can calculate the Book Value per Share by dividing the Earnings per Share by the ROE:
Book Value per Share = Earnings per Share / ROE = $0.97 / 0.086 = $11.2791
Next, we rearrange the formula to solve for the Growth Rate:
Growth Rate = (ROE / Book Value per Share) - 1 = (0.086 / 11.2791) - 1 = 0.0076 or 0.76%
Therefore, Big Auto's estimated growth rate is 0.76%.