Pearson Motors has a target capital structure of 35% debt and 65% common equity, with no preferred stock. The yield to maturity on the company's outstanding bonds is 12%, and its tax rate is 25%. Pearson's CFO estimates that the company's WACC is 10.70%. What is Pearson's cost of common equity? Do not round intermediate calculations. Round your answer to two decimal places. Hide Feedback Incorrect

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Transcription for Educational Website**

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**Topic: Finance - Cost of Common Equity Calculation**

**Question:**

Pearson Motors has a target capital structure of 35% debt and 65% common equity, with no preferred stock. The yield to maturity on the company’s outstanding bonds is 12%, and its tax rate is 25%. Pearson’s CFO estimates that the company’s WACC is 10.70%. What is Pearson’s cost of common equity?

**Instructions:**

Do not round intermediate calculations. Round your answer to two decimal places.

**Feedback:**

*Incorrect*

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**Explanation:**

To find the cost of common equity, we use the formula for the weighted average cost of capital (WACC):

\[ \text{WACC} = (E/V) \times Re + (D/V) \times Rd \times (1 - Tc) \]

Where:
- E = Market value of equity
- V = Total market value of equity and debt
- Re = Cost of equity
- D = Market value of debt
- Rd = Cost of debt (yield to maturity on bonds)
- Tc = Corporate tax rate

Given values:
- E/V = 65% or 0.65
- D/V = 35% or 0.35
- Rd = 12% or 0.12
- Tc = 25% or 0.25
- WACC = 10.70% or 0.107

Plug these into the formula and solve for Re:

\[ 0.107 = 0.65 \times Re + 0.35 \times 0.12 \times (1 - 0.25) \]

Calculate the components, solve the equation, and ensure the answer is rounded to two decimal places.
Transcribed Image Text:**Transcription for Educational Website** --- **Topic: Finance - Cost of Common Equity Calculation** **Question:** Pearson Motors has a target capital structure of 35% debt and 65% common equity, with no preferred stock. The yield to maturity on the company’s outstanding bonds is 12%, and its tax rate is 25%. Pearson’s CFO estimates that the company’s WACC is 10.70%. What is Pearson’s cost of common equity? **Instructions:** Do not round intermediate calculations. Round your answer to two decimal places. **Feedback:** *Incorrect* --- **Explanation:** To find the cost of common equity, we use the formula for the weighted average cost of capital (WACC): \[ \text{WACC} = (E/V) \times Re + (D/V) \times Rd \times (1 - Tc) \] Where: - E = Market value of equity - V = Total market value of equity and debt - Re = Cost of equity - D = Market value of debt - Rd = Cost of debt (yield to maturity on bonds) - Tc = Corporate tax rate Given values: - E/V = 65% or 0.65 - D/V = 35% or 0.35 - Rd = 12% or 0.12 - Tc = 25% or 0.25 - WACC = 10.70% or 0.107 Plug these into the formula and solve for Re: \[ 0.107 = 0.65 \times Re + 0.35 \times 0.12 \times (1 - 0.25) \] Calculate the components, solve the equation, and ensure the answer is rounded to two decimal places.
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