HighGrowth Company has a stock price of $20. The firm will pay a dividend next year of $1.00, and its dividend is expected to grow at a rate of 4.0% per year thereafter. What is your estimate of HighGrowth's cost of equity capital? The required return (cost of capital) of levered equity is decimal place.) %. (Round to one

Essentials Of Investments
11th Edition
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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**Estimating the Cost of Equity Capital**

**Question:**

HighGrowth Company has a stock price of $20. The firm will pay a dividend next year of $1.00, and its dividend is expected to grow at a rate of 4.0% per year thereafter. What is your estimate of HighGrowth’s cost of equity capital?

The required return (cost of capital) of levered equity is ________ %. (Round to one decimal place.)

--- 

**Explanation:**

To estimate the cost of equity capital (required return on equity), we can use the Gordon Growth Model (Dividend Discount Model):

\[ R_E = \frac{D_1}{P_0} + g \]

Where:

- \(R_E\) is the cost of equity.
- \(D_1\) is the expected dividend next year.
- \(P_0\) is the current stock price.
- \(g\) is the constant growth rate of dividends.

Given the data:

- \(D_1 = $1.00\)
- \(P_0 = $20\)
- \(g = 4.0\% = 0.04\)

Plugging in these values:

\[ R_E = \frac{1.00}{20} + 0.04 \]
\[ R_E = 0.05 + 0.04 \]
\[ R_E = 0.09 \text{ or } 9.0\% \]

So, the estimated cost of equity capital for HighGrowth Company is **9.0%**.

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Transcribed Image Text:--- **Estimating the Cost of Equity Capital** **Question:** HighGrowth Company has a stock price of $20. The firm will pay a dividend next year of $1.00, and its dividend is expected to grow at a rate of 4.0% per year thereafter. What is your estimate of HighGrowth’s cost of equity capital? The required return (cost of capital) of levered equity is ________ %. (Round to one decimal place.) --- **Explanation:** To estimate the cost of equity capital (required return on equity), we can use the Gordon Growth Model (Dividend Discount Model): \[ R_E = \frac{D_1}{P_0} + g \] Where: - \(R_E\) is the cost of equity. - \(D_1\) is the expected dividend next year. - \(P_0\) is the current stock price. - \(g\) is the constant growth rate of dividends. Given the data: - \(D_1 = $1.00\) - \(P_0 = $20\) - \(g = 4.0\% = 0.04\) Plugging in these values: \[ R_E = \frac{1.00}{20} + 0.04 \] \[ R_E = 0.05 + 0.04 \] \[ R_E = 0.09 \text{ or } 9.0\% \] So, the estimated cost of equity capital for HighGrowth Company is **9.0%**. ---
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