WACC: The Following Table Gives Foust Company’s Earnings Per
Wacc The Following Table Gives Foust Companys Earnings Per Share For
WACC The following table gives Foust Company’s earnings per share for the last 10 years. The common stock, 7.8 million shares outstanding, is now (1/1/09) selling for $65.00 per share. The expected dividend at the end of the current year (12/31/09) is 55% of the 2008 EPS. Because investors expect past trends to continue, g may be based on the historical earnings growth rate. (Note that 9 years of growth are reflected in the 10 years of data.)
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The calculation of the Weighted Average Cost of Capital (WACC) for Foust Company involves understanding its earnings per share (EPS), dividend expectations, stock price, and growth rate. Analyzing these elements provides insight into the company's financial health and the required return for investors, which is foundational for valuation and investment decisions.
To accurately estimate WACC, one must first examine the historical earnings per share (EPS) over the last ten years. This historical data helps in assessing the company's growth trend, which in turn informs the expected future earnings growth rate (g). As indicated, nine years of growth are reflected in ten years of EPS data, which smooths out anomalies and provides a reliable basis for forecasting.
The current stock price is $65.00 per share, with 7.8 million shares outstanding. Thus, the market capitalization, or market value of equity, is calculated as:
\[ \text{Market Value of Equity} = 7.8\, \text{million shares} \times 65.00\, \text{USD/share} = 507\, \text{million USD} \]
The project's dividend at the end of 2009 is expected to be 55% of the 2008 EPS. If the EPS for 2008 is known from historical data (which would typically be included in the given table), the dividend D1 can be calculated as:
\[ D_1 = 0.55 \times \text{EPS}_{2008} \]
Next, to find the growth rate (g) in earnings, the compound annual growth rate (CAGR) over the nine-year period is calculated using the EPS in the first and last years of the period:
\[ g = \left( \frac{\text{EPS}_{2008}}{\text{EPS}_{2000}} \right)^{1/9} - 1 \]
This rate assumes that past growth will persist, aligning with investor expectations.
Once g is obtained, the cost of equity (k_e) can be estimated using the dividend discount model (DDM), given by:
\[ k_e = \frac{D_1}{P_0} + g \]
where \(P_0\) is the current stock price.
Assuming Foust Company has no debt (or that debt is negligible, or that specific debt information is not provided), the WACC simplifies to the cost of equity, as the company's capital structure appears to be predominantly equity-financed.
Putting it all together, the WACC for Foust Company entails the following steps:
1. Calculate the historical earnings growth rate (g) using EPS data.
2. Determine the expected dividend (D1) based on the latest EPS.
3. Calculate the cost of equity \(k_e\) using the dividend growth model.
4. Compute the market value of equity.
5. If debt figures are available, incorporate the cost of debt and the proportion of debt and equity to determine WACC; otherwise, use the estimated cost of equity as WACC.
In summary, understanding Foust Company's WACC requires careful analysis of its historical EPS, current stock valuation, dividend expectations, and growth projections. These components collectively reflect the company's risk profile and are critical in valuation, capital budgeting, and strategic planning.
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