# Estimating Coleman’s Cost of Capital
### Option A
#### 1. Sources of Capital for WACC Estimation
When estimating Coleman’s weighted average cost of capital (WACC), the following sources should be included:
– **Debt**: This includes long-term bonds. Coleman’s current bonds are a vital source since they provide insights into the cost of borrowing. The coupon rate, current market price, and the firm’s marginal tax rate are crucial in calculating the after-tax cost of debt.
– **Preferred Stock**: This is another source of capital, represented by the preferred shares that Coleman has issued. The cost of preferred stock can be derived from the dividend payments relative to the market price, adjusted for flotation costs.
– **Common Equity**: This encompasses retained earnings and new equity. Retained earnings are a less expensive form of equity as they do not incur flotation costs, while new equity incurs flotation costs that must be factored into the WACC calculation.
These components reflect the overall capital structure and the respective costs associated with each source.
#### 2. WACC After Retained Earnings Exhaustion
To calculate WACC after exhausting retained earnings and issuing new common stock, we need to determine the cost of each capital source and then apply the target capital structure.
– **Cost of Debt**:
– Current Price = $1,153.72
– Coupon Rate = 10% (semiannual payments) → \(C = 10\% \times 100/2 = 5\)
– Using the formula for bond pricing:
\[
P = \sum \frac{C}{(1+r)^t} + \frac{F}{(1+r)^n}
\]
Solving for \(r\) (yield to maturity) yields approximately 4.2% (you’d typically use a financial calculator for precision).
After-tax cost of debt:
\[
r_d = 4.2\% \times (1 – 0.4) = 2.52\%
\]
– **Cost of Preferred Stock**:
\[
r_{ps} = \frac{D_{ps}}{P_{ps}(1 – F)} = \frac{9}{105(1 – 0.048)} \approx 8.5\%
\]
– **Cost of New Common Stock using DCF Method**:
Last Dividend (\(D_0\)) = $4.19, Growth Rate (\(g\)) = 5%.
\[
r_e = \frac{D_1}{P_0} + g = \frac{4.19 \times 1.05}{50} + 0.05 = 0.0882 + 0.05 = 13.82\%
\]
Now, with Coleman’s target capital structure (30% debt, 10% preferred stock, and 60% common equity):
\[
WACC = w_d \times r_d + w_{ps} \times r_{ps} + w_e \times r_e
\]
\[
WACC = 0.30 \times 2.52\% + 0.10 \times 8.5\% + 0.60 \times 13.82\% = 0.756 + 0.85 + 8.292 = 9.898\%
\]
#### 3. Historical vs. New Costs
The costs used should be **marginal costs** rather than historical (embedded) costs. This is because WACC is intended to reflect the cost of new capital that the firm would incur if it were to raise funds today. Marginal costs provide a more accurate representation of the current market conditions and the firm’s financial position, allowing for better decision-making regarding new investments.
—
### Option C
#### 1. Bond-Yield-Plus-Risk-Premium Estimate
To estimate Coleman’s cost of retained earnings using the bond-yield-plus-risk-premium approach, we start with the yield on the company’s bonds and add a risk premium.
From the previous section, the yield on the bonds was approximately 4.2%. Given the risk premium of 4%, the calculation is as follows:
\[
\text{Cost of Retained Earnings} = \text{Bond Yield} + \text{Risk Premium} = 4.2\% + 4\% = 8.2\%
\]
This approach is beneficial as it links the cost of equity to the existing bond market, which provides a practical basis for estimating the required return on equity. It accounts for the additional risk associated with equity compared to debt, ensuring that shareholders are compensated for that risk.
—
Peer Response
To respond to a peer who addressed Option B, I would focus on discussing the implications of using retained earnings versus issuing new equity and the differences in cost structures. Specifically, I would emphasize how retained earnings generally incur no flotation costs, making them a cheaper source of equity compared to new stock, which can be subject to higher costs due to flotation fees and market conditions.
You were recently hired as an assistant to the financial VP of Coleman Technologies and your first task is to estimate Coleman’s cost of capital. The VP has provided you with the information below, which he believes is relevant to your task.
(1) The firm’s marginal tax rate is 40%.
(2) The current price of Coleman’s 15-year, 10% coupon (semiannual interest payments) bonds is $1,153.72. Coleman does not use short-term interest-bearing debt permanently. New bonds would be privately placed with no flotation costs.
(3) The current price of the firm’s 9%, $100 par value preferred stock is $105. Coleman would incur flotation costs of 4.8% to issue new preferred stock.
(4) Coleman’s common stock is currently selling at $50 per share. The company uses the average of the CAPM, DCF, and bond-yield-plus-risk premium calculations as its cost of equity. This average is 14%. Its last dividend (D0) was $4.19, and dividends are expected to grow at a constant rate of 5% in the foreseeable future. Coleman’s beta is 1.2, the yield on Treasury bonds is 7%, and the market risk premium is estimated at 6%.
(5) For the bond-yield-plus-risk-premium approach, the firm uses a 4%-point risk premium. The required return on retained earnings is 10%.
(6) Up to $300,000 of new common stock can be sold at a flotation cost of 15%. Above $300,000, the flotation cost would rise to 25%.
(7) Coleman’s target capital structure is 30% debt, 10% preferred stock, and 60% common equity.
(8) The firm is forecasting that it will retain earnings equal to $300,000 in the coming year.
After reviewing this information, the VP has asked you to do the following two things:
First, choose between option A and option B below. Your original post for all three requirements under each option must be at least 400 words without being redundant. Saying the same thing in several different ways will not earn you credit. The response to each question should be separate and identified.
Second, choose between option C and option D below. Your original post for each option must be at least 75 words without being redundant. Saying the same thing in several different ways will not earn you credit.
This assignment also requires you to respond to a peer’s posting and this response must address an option that your original response did not address (Option A or B) As an example, if you responded to Option A, then your peer reply needs to be to someone who responded to Option B. The peer response must be at least 75 words without the niceties and without being redundant.
I want to remind you that using any AI software and quoting information directly from those tools is considered plagiarism, as noted in the syllabus.
Option A
1. What sources of capital should be included when you estimate Coleman’s weighted average cost of capital? Explain.
2. What is the WACC after retained earnings have been exhausted and Coleman issued up to $300,000 of new common stock with a 15% flotation cost? Use the DCF method to calculate the cost of the new common stock. You must show your work as well as explain why.
3. Should the costs be historical (embedded) costs or new (marginal) costs? Explain.
Option B
1. What is Coleman’s overall, or weighted average, cost of capital (WACC) when retained earnings are used as the equity component? You must show your work as well as explain why.
2. Should the component costs be figured on a before-tax or an after-tax basis? Explain.
3. What is the WACC if more than $300,000 of new common equity is sold?
4. Use the DCF method to calculate the cost of the new common stock. You must show your work as well as explain your answer.
Option C
1. What is the bond-yield-plus-risk-premium estimate for Coleman’s cost of retained earnings? You must show your work as well as explain why.
Option D
2. Explain in words why the new common stock has a higher percentage cost than the cost of retained earnings.
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