Problem 10.20 (WACC) The following table gives Foust company's earnings Per share for the last 10 years. The comman Stock, 8.1 million shores outstanding, is now (1/1/22) selling for $51.00 per share, The expected dividend at the end of the current year (12/31/22) is 60% of the 2021 EPS. Because in

Essentials Of Investments
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**Problem (10.20) (WACC)**

The following information pertains to Faust Company's earnings per share over the last 10 years. The company has 8.1 million shares outstanding, and the common stock, as of January 1, 2022, is selling for $51.00 per share. The expected dividend at the end of the current year (December 31, 2022) is 60% of the 2021 EPS. This expectation is based on investors' anticipation that past trends will continue. Note that 9 years are reflected in the 10 years of data provided.

**Earnings Per Share (EPS) Data:**

| Year | EPS  | Year | EPS  |
|------|------|------|------|
| 2012 | 3.90 | 2017 | 5.73 |
| 2013 | 4.21 | 2018 | 6.19 |
| 2014 | 4.55 | 2019 | 6.68 |
| 2015 | 4.91 | 2020 | 7.22 |
| 2016 | 5.31 | 2021 | 7.80 |

**Financial Information:**

- The current interest rate on new debt: 10%
- Faust's marginal tax rate: 25%
- Target capital structure: 45% debt and 55% equity.

**Tasks:**

1. **Calculate Faust's after-tax cost of debt.**
   - Formula: After-tax cost of debt = (Interest rate on new debt) × (1 - Tax rate)

2. **Calculate Faust's cost of common equity.**
   - Formula: Cost of equity \( r_s = D_1 / P_0 + g \), where \( D_1 = \) Dividend in year 2022, \( P_0 = \) Current stock price, and \( g = \) growth rate.
   - Round the answers to two decimal places.

3. **Find Faust’s Weighted Average Cost of Capital (WACC).**

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This framework can be used to understand the process of calculating WACC, a critical concept in finance that reflects the average rate of return a company is expected to pay its investors.
Transcribed Image Text:Certainly! Here is a transcription and explanation suitable for an educational website: --- **Problem (10.20) (WACC)** The following information pertains to Faust Company's earnings per share over the last 10 years. The company has 8.1 million shares outstanding, and the common stock, as of January 1, 2022, is selling for $51.00 per share. The expected dividend at the end of the current year (December 31, 2022) is 60% of the 2021 EPS. This expectation is based on investors' anticipation that past trends will continue. Note that 9 years are reflected in the 10 years of data provided. **Earnings Per Share (EPS) Data:** | Year | EPS | Year | EPS | |------|------|------|------| | 2012 | 3.90 | 2017 | 5.73 | | 2013 | 4.21 | 2018 | 6.19 | | 2014 | 4.55 | 2019 | 6.68 | | 2015 | 4.91 | 2020 | 7.22 | | 2016 | 5.31 | 2021 | 7.80 | **Financial Information:** - The current interest rate on new debt: 10% - Faust's marginal tax rate: 25% - Target capital structure: 45% debt and 55% equity. **Tasks:** 1. **Calculate Faust's after-tax cost of debt.** - Formula: After-tax cost of debt = (Interest rate on new debt) × (1 - Tax rate) 2. **Calculate Faust's cost of common equity.** - Formula: Cost of equity \( r_s = D_1 / P_0 + g \), where \( D_1 = \) Dividend in year 2022, \( P_0 = \) Current stock price, and \( g = \) growth rate. - Round the answers to two decimal places. 3. **Find Faust’s Weighted Average Cost of Capital (WACC).** --- This framework can be used to understand the process of calculating WACC, a critical concept in finance that reflects the average rate of return a company is expected to pay its investors.
Expert Solution
Step 1: Introduction of weighted average cost of capital

Weighted average cost of capital refers to the average rate of interest for financing the assets or capital in the company such as debt and equity as per the proportion of investment which is helpful for investors in decision-making.


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