Barton Industries estimates its cost of common. equity by using three approaches: the CAPM, the band - yield - plus -risk- premium approach, and the DCF model. Burton expects next year's annual dividend, D₁, to be $1.70 and it expects dividends to grow at a constant rate 5 = 5,4% The firm's current common stock price, Po, is $20.00. The current risk-free rate, FRF, = 4.9% the market risk premium, RPM = 6.3%, and the firm's stock has a current beta, b, = 1.40. Assume that the firm's cast of debt, rd is 10.78%. The firm uses a 3.3% visk premium when amving at a ballpark estimate of its cost of equity using the bund-yield-risk-premium approach. What is the firm's cost of equity using each of these three approaches? CAPM cost of equity Bond yield plus risk premium: %. DCF Cost of equity: —% %

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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**Title: Calculating the Cost of Common Equity: An Analysis Using Various Approaches**

**Introduction**

Barton Industries estimates its cost of common equity using three primary approaches: the CAPM (Capital Asset Pricing Model), the bond-yield-plus-risk-premium approach, and the DCF (Discounted Cash Flow) model.

**Key Financial Data**

- Next year's annual dividend (\(D_1\)) is expected to be $1.10.
- The dividend is projected to grow at a constant rate of 5.5%.
- Current common stock price (\(P_0\)) is $70.00.
- Current risk-free rate (\(r_{\text{RF}}\)) is 4.9%.
- Market risk premium (RPM) is 6.3%.
- The stock's current beta (\(\beta\)) is 1.10.
- Cost of debt (\(r_d\)) is 10.18%.
- A risk premium of 3.3% is used in the bond yield plus risk premium approach.

**Objective**

Determine the firm's cost of equity using each of the three approaches.

**Methods**

1. **CAPM Cost of Equity**
   - Formula: \( \text{Cost of Equity} = r_{\text{RF}} + \beta \times \text{RPM} \)
   - Insert the appropriate values to calculate the cost of equity.

2. **Bond Yield Plus Risk Premium**
   - Formula: \( \text{Cost of Equity} = \text{Bond Yield} + \text{Risk Premium} \)
   - Here, bond yield is synonymous with cost of debt, and add the given risk premium.

3. **DCF Cost of Equity**
   - Formula: \( \text{Cost of Equity} = \frac{D_1}{P_0} + \text{Growth Rate} \)
   - Use the given dividend, stock price, and growth rate for calculation.

**Conclusion**

Calculate the respective percentages for each approach to determine the firm's cost of equity. This multi-faceted analysis aligns to obtain a comprehensive cost of equity estimate for Barton Industries.
Transcribed Image Text:**Title: Calculating the Cost of Common Equity: An Analysis Using Various Approaches** **Introduction** Barton Industries estimates its cost of common equity using three primary approaches: the CAPM (Capital Asset Pricing Model), the bond-yield-plus-risk-premium approach, and the DCF (Discounted Cash Flow) model. **Key Financial Data** - Next year's annual dividend (\(D_1\)) is expected to be $1.10. - The dividend is projected to grow at a constant rate of 5.5%. - Current common stock price (\(P_0\)) is $70.00. - Current risk-free rate (\(r_{\text{RF}}\)) is 4.9%. - Market risk premium (RPM) is 6.3%. - The stock's current beta (\(\beta\)) is 1.10. - Cost of debt (\(r_d\)) is 10.18%. - A risk premium of 3.3% is used in the bond yield plus risk premium approach. **Objective** Determine the firm's cost of equity using each of the three approaches. **Methods** 1. **CAPM Cost of Equity** - Formula: \( \text{Cost of Equity} = r_{\text{RF}} + \beta \times \text{RPM} \) - Insert the appropriate values to calculate the cost of equity. 2. **Bond Yield Plus Risk Premium** - Formula: \( \text{Cost of Equity} = \text{Bond Yield} + \text{Risk Premium} \) - Here, bond yield is synonymous with cost of debt, and add the given risk premium. 3. **DCF Cost of Equity** - Formula: \( \text{Cost of Equity} = \frac{D_1}{P_0} + \text{Growth Rate} \) - Use the given dividend, stock price, and growth rate for calculation. **Conclusion** Calculate the respective percentages for each approach to determine the firm's cost of equity. This multi-faceted analysis aligns to obtain a comprehensive cost of equity estimate for Barton Industries.
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The equity cost can be referred to as the cost expressed in percentage terms which depicts the cost of financing through equity issue to the public. This also reflects the minimum expected return rate which an investor would be required to bear zero losses from financing through equity sharing.

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