Asset Pricing and Corporate Finance II
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Questions and Answers

What is the estimated equity cost of capital for Avco's plastics division?

  • 9.5%
  • 13.0% (correct)
  • 15.0%
  • 12.7%

What is the WACC for the plastics division according to the given calculations?

  • 10.0%
  • 14.8%
  • 8.3% (correct)
  • 6.0%

In the GPS inventory system scenario, what is the calculated equity cost of capital?

  • 14.0%
  • 15.0%
  • 12.7%
  • 16.0% (correct)

What factors contribute to the differences in costs of capital across different divisions?

<p>Business risk and leverage. (B)</p> Signup and view all the answers

What is the main purpose of the WACC method in capital budgeting?

<p>To incorporate the after-tax cost of capital as the discount rate (B)</p> Signup and view all the answers

What key assumption is made when using the WACC method?

<p>The project has average risk (C)</p> Signup and view all the answers

What does the Adjusted Present Value (APV) method primarily focus on?

<p>Considering the impact of interest tax shields separately (A)</p> Signup and view all the answers

Which method highlights the cash flow available to equity holders after debt payments?

<p>Flow-to-Equity method (C)</p> Signup and view all the answers

In the WACC method, what must be true about the firm's debt-equity ratio?

<p>It must remain constant over time (D)</p> Signup and view all the answers

What is the role of interest tax shield in capital budgeting decisions?

<p>To reduce the overall tax burden on the firm (A)</p> Signup and view all the answers

When capital budgeting for a project with leverage, what is considered an imperfection in the market?

<p>Corporate taxes (A)</p> Signup and view all the answers

What method is used to calculate the depreciation of the equipment?

<p>Straight-line method (B)</p> Signup and view all the answers

What is the expected WACC for Avco as calculated?

<p>6.8% (D)</p> Signup and view all the answers

How much new debt must Avco add to maintain its debt-to-value ratio after the RFX project?

<p>$30.625 million (B)</p> Signup and view all the answers

What is the NPV of the RFX project?

<p>$33.25 million (C)</p> Signup and view all the answers

What is the purpose of computing the value of the investment using the WACC?

<p>To assess the tax benefit of leverage (D)</p> Signup and view all the answers

By undertaking the RFX project, how much does the market value of Avco's equity increase?

<p>$30.625 million (D)</p> Signup and view all the answers

What will Avco do with the $2.625 million that remains after funding the RFX project?

<p>Pay it to shareholders as a dividend or share repurchase (A)</p> Signup and view all the answers

Which of the following is a step in the WACC method summarized?

<p>Compute the weighted average cost of capital (C)</p> Signup and view all the answers

Which tax rate is applied in the calculation of WACC for Avco?

<p>40% (C)</p> Signup and view all the answers

What is the present value of the interest tax shield when calculated using the APV method?

<p>$1.63 million (D)</p> Signup and view all the answers

Which calculation is required to determine the investment's value without leverage in the APV method?

<p>Estimating future cash flows (B)</p> Signup and view all the answers

What does the Flow-to-Equity method calculate?

<p>Cash flow available to equity holders (B)</p> Signup and view all the answers

In the Flow-to-Equity method, what adjustment is made to the cash flows regarding interest?

<p>Interest expenses are deducted before taxes (D)</p> Signup and view all the answers

How is net borrowing at date t calculated?

<p>$D_t - D_{t-1}$ (B)</p> Signup and view all the answers

What is the final step in the APV method?

<p>Adding unlevered value to the present value of the interest tax shield (C)</p> Signup and view all the answers

What should the cash flows to equity holders be discounted at in the Flow-to-Equity method?

<p>The equity cost of capital (D)</p> Signup and view all the answers

What effect does net borrowing have on the calculation of free cash flow to equity holders?

<p>It is added or subtracted depending on debt activity (A)</p> Signup and view all the answers

What represents the cash flow available to equity holders after accounting for all payments to debt holders?

<p>Free Cash Flow to Equity (FCFE) (A)</p> Signup and view all the answers

What is the purpose of calculating the free cash flow to equity in the Flow-to-Equity method?

<p>To assess the project’s profitability from the perspective of equity holders. (B)</p> Signup and view all the answers

How is NPV calculated in the provided example?

<p>By discounting free cash flows to equity using a cost of capital. (B)</p> Signup and view all the answers

What factors can cause the equity cost of capital for a project to differ from the firm's overall equity cost of capital?

<p>The project’s market risk and target leverage ratio. (D)</p> Signup and view all the answers

What is the unlevered cost of capital for Competitor 1, based on the provided information?

<p>9.6% (D)</p> Signup and view all the answers

What does the term 'project-based costs of capital' refer to?

<p>Costs that are influenced by the specific market risks and leverage of an individual project. (B)</p> Signup and view all the answers

Which method can be used to estimate the unlevered cost of capital for a new business division?

<p>Comparison with similar firms that operate in the same market. (B)</p> Signup and view all the answers

In the Flow-to-Equity method, which of the following is NOT a step in the process?

<p>Calculate the project’s internal rate of return. (B)</p> Signup and view all the answers

What impact does leverage have on the equity cost of capital for a specific project?

<p>Higher leverage tends to increase the equity cost of capital due to more risk. (B)</p> Signup and view all the answers

What is the formula for calculating Competitor 2's unlevered cost of capital?

<p>0.75 x 10.7% + 0.25 x 5.5% (D)</p> Signup and view all the answers

What is a key consideration when using the WACC or FTE method for project evaluation?

<p>The incremental debt associated with the new project. (C)</p> Signup and view all the answers

Flashcards

What is the WACC method?

The WACC method uses the after-tax cost of capital (WACC) as the discount rate to account for interest tax shields. This method assumes the firm maintains a constant debt-equity ratio over time. By discounting future free cash flows using the WACC, we can calculate the levered value of an investment.

What is the APV method?

The Adjusted Present Value (APV) method separates the value of an investment into two components: the value of the project if it were financed entirely with equity (unlevered value) and the present value of any financing side effects, such as interest tax shields. It allows for flexibility in financing decisions and is particularly useful when the debt-equity ratio is not constant or when there are other market imperfections.

What is the Flow-to-Equity (FTE) method?

The Flow-to-Equity (FTE) method directly discounts the project cash flows that are available to equity holders after paying debt expenses and interest. It assumes the firm's debt-equity ratio is constant, and is used in situations where financing is a significant factor in the valuation.

What is the project-based cost of capital?

The cost of capital for a particular project is its required rate of return. It depends on the project's risk and is used to discount project cash flows. This can be calculated using a variety of methods, including the CAPM, FAMA-French model, or a firm's own historical cost of capital.

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How to adjust valuation for imperfections?

These imperfections disrupt the perfect market assumptions and require adjustments to the valuation. Some common imperfections include taxes, financial distress costs, and agency costs. These factors directly affect the firm's debt capacity and the value of interest tax shields, requiring careful consideration in the valuation process.

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What is WACC?

The weighted average cost of capital (WACC) is the average cost of raising capital for a company, taking into account the cost of debt and equity financing. It is used to discount future cash flows in capital budgeting decisions.

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How is WACC calculated?

The WACC is calculated by weighting the cost of each source of capital by its proportion in the company's capital structure. The formula is rwacc = (E/V) * rE + (D/V) * rD * (1-t)

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What is Free Cash Flow?

The free cash flow (FCF) is the cash flow available to the company's investors after all operating expenses and investments are paid. It is used to value a project or company.

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How is a project's value determined with WACC?

The value of a project is estimated by discounting its future free cash flows at the company's WACC. This reflects the project's contribution to the company's value.

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What does a positive NPV signify?

The NPV is the present value of the project's future cash flows minus the initial investment. A positive NPV indicates that the project is expected to increase the company's value.

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When is WACC appropriate for valuing projects?

The WACC is used as a benchmark for valuing projects that have a similar risk profile to the company's existing investments. It should not be used for projects with significantly different risk profiles.

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When isn't WACC relevant?

The WACC is only relevant for companies that have debt in their capital structure. Companies that are purely equity-financed do not have a WACC.

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What is the limitation of using WACC?

The WACC is a useful tool for capital budgeting decisions, but it is important to remember that it is a theoretical measure. It does not take into account all the factors that may affect the actual cost of capital.

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What factors influence WACC?

The WACC is influenced by factors such as the company's debt-to-equity ratio, the risk-free rate, the market risk premium, and the company's beta.

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What is an interest tax shield?

The interest tax shield is the tax savings a company receives due to its interest expenses. It's a benefit arising from debt financing.

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How is the present value of the interest tax shield calculated?

The present value of the interest tax shield is calculated by discounting the expected future interest tax shields at the project's unlevered cost of capital.

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What is the unlevered cost of capital?

The unlevered cost of capital is the cost of capital for a company without any debt financing. It reflects the risk of the project itself.

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What is free cash flow to equity (FCFE)?

Free cash flow to equity (FCFE) is the cash flow that remains after adjusting for interest payments, debt issuance, and debt repayments.

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What is the equity cost of capital?

The equity cost of capital is the return required by investors for holding the company's equity. It reflects the risk of the company's equity.

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How are interest expenses and net borrowing treated in the FTE method?

In the FTE method, interest expenses are deducted before taxes, and the proceeds from the firm's net borrowing activity are added to the free cash flow.

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How can FCFE be calculated using the free cash flow?

The FCFE can be calculated using the free cash flow (FCF), after-tax interest expense, and net borrowing, representing the cash flow available to equity holders.

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How are FCFE discounted in the FTE method?

FCFE represents payments to equity holders and should be discounted at the project's equity cost of capital to find its present value.

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Project-based cost of capital

The cost of capital for a specific project, accounting for the project's unique risk and financing structure.

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Equity cost of capital (rE)

The rate of return required by investors for holding a company's stock, taking into account its specific business risk and financial leverage.

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Unlevered cost of capital (rU)

The cost of capital for a project financed entirely with equity, reflecting the project's inherent risk without considering any debt financing.

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Weighted average cost of capital (WACC)

The weighted average cost of capital for a project, taking into account the proportion of debt and equity financing used.

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Incremental leverage

The additional leverage taken on by a company to finance a specific project, impacting the project's cost of capital.

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Net Present Value (NPV) of FCFE

The value of a project calculated by discounting its free cash flow to equity (FCFE) using the equity cost of capital.

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Free Cash Flow to Equity (FCFE)

The cash flow available to equity holders after all operating expenses, debt payments, and investments are made.

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Equity Cost of Capital

The return required by investors for holding a company's equity, taking into account its risk profile.

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Flow-to-Equity (FTE) Method

A method of valuing a project by discounting its free cash flow to equity using the equity cost of capital.

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Adjusted Present Value (APV) Method

A method of valuing a project by discounting its unlevered cash flows using the unlevered cost of capital and then adding the present value of any tax savings from debt financing.

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Incremental Debt

The incremental debt that a company will take on as a result of a specific project.

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Target Leverage Ratio

The target level of debt that a company aims to maintain in its capital structure.

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Project Equity Cost of Capital

The cost of capital for a project, determined by the relationship between the project's risk and the target leverage ratio.

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Study Notes

Asset Pricing and Corporate Finance II - Capital Budgeting and Valuation with Leverage

  • Lecture Objectives:
    • Familiarization with three methods for incorporating interest tax shields in capital budgeting decisions.
    • Understanding the WACC method.
    • Understanding the Adjusted Present Value (APV) method.
    • Understanding the Flow-to-Equity method.
    • Adjusting valuation for imperfections.

Overview

  • Methods:
    • WACC method
    • Adjusted Present Value (APV) method
    • Flow-to-Equity method
  • Simplifying Assumptions:
    • Constant average project risk
    • Constant debt-to-equity ratio
    • Corporate taxes are the only market imperfection

The WACC Method

  • Discount Rate: The after-tax cost of capital is used as the discount rate.
  • Constant Debt-Equity Ratio: Assumes a consistent debt-to-equity ratio over time.
  • Levered Value Calculation: Future free cash flows are discounted using the WACC to compute the levered value of an investment.

The WACC Method - Example (Avco)

  • Product: New packaging line (RFX series).
  • Technology: Technology is obsolete after four years.
  • Sales: $60 million per year for four years.
  • Costs: Manufacturing ($25 million), Operating Expenses ($9 million), R&D/Marketing ($6.67 million), Equipment ($24 million).
  • Depreciation: Straight-line method over four years.
  • Working Capital: No net working capital requirements.
  • Tax Rate: 40%

The WACC Method - Incremental Earnings Forecast

  • Data: Financial data for each year (0 to 4) for revenue, costs, EBIT, income tax, net income, and free cash flow.

The WACC Method - Avco's WACC Calculation

  • Data: Avco's balance sheet data (cash, existing assets, total assets, debt, equity, total liabilities and equity).
  • Debt cost of capital: 6%
  • Equity cost of capital: 10%
  • WACC: 6.8%

The WACC Method - Project Valuation

  • NPV: The project's present value is $61.25 million, and the NPV of the project is $33.25 million.

The WACC Method - Summary

  • Steps: Determine free cash flow, compute WACC, compute levered investment value using WACC.
  • Use in Firm: Used as a company-wide cost of capital for comparable risk investments, maintaining a consistent debt-to-equity ratio.

The APV Method

  • Valuation: Determines the levered value of an investment by calculating the unlevered value (without leverage) and adding the value of the interest tax shield.
    • VL = APV = VU + PV(Interest Tax Shield)
  • Unlevered Cost of Capital: The project's cost of capital if there was no leverage.

The APV Method - Avco Example

  • Unlevered Cost of Capital: 8%.
  • Unlevered Project Value (VU): $59.62 million
  • Interest Tax Shield Calculation: The present value of the interest tax shield is calculated.
  • Levered Project Value (VL): $61.25 million

The APV Method - Summary

  • Steps: Determine unlevered investment value, calculate the present value of the interest tax shield, add unlevered value to the present value of the interest tax shield to determine the levered investment value.

The Flow-to-Equity Method

  • Valuation: Calculates the free cash flow available to equity-holders after considering payments to and from debt holders. Free cash flow to equity is adjusted for interest payments, debt issuance, and debt repayments.

The Flow-to-Equity Method - Incremental Earnings Forecast

  • Data: Financial data to estimate free cash flow to equity (FCFE) for each year (0 to 4), including sales, operating expenses, depreciation, interest expense, pretax income, net income, plus depreciation, less capital expenditure, less changes in working capital, plus net borrowing, to get FCFE.

The Flow-to-Equity Method - Project Valuation

  • Project NPV: The sum of discounted FCFE for the four years, discounted with Avco's equity cost of capital (10%), which yields a $33.25 million NPV.

The Flow-to-Equity Method - Summary

  • Steps: Determine the free cash flow to equity, calculate the equity cost of capital, compute equity value by discounting the free cash flow, using the equity cost of capital.

Project-Based Costs of Capital

  • Varying Project Risk: Projects may have differing market risk than the average firm project.
  • Varying Leverage: Projects may have different leverage than the average firm project.
  • Estimating Unlevered Cost of Capital: Estimating unlevered costs of capital for projects using comparable firms with similar business risk.

Project-Based Costs of Capital - Avco Example

  • Plastics Division: Avco is considering initiating a plastics division that requires a different cost of capital.
  • Approximation of Unlevered Cost of Capital Use data from comparable firms or use a 9.5% unlevered cost of capital.
  • Estimating the Equity Cost of Capital: This equity cost of capital can be computed considering the projects level of future leverage vs firm average level of leverage.
  • Divison WACC: Calculated considering the debt portion and equity (in the case of the example 0.5 / 0.5).

Other Effects of Financing

  • Taxes: Only taxes are considered, which impacts valuation.
  • Imperfections: Issuance costs, security mispricing, financial distress costs need to be considered for a more thorough valuation.
  • Transaction Costs: Fees charged by banks for loans or underwriting must be calculated as part of the project's investment.
  • Security Mispricing: If management believes securities are mispriced, the difference needs to be reflected in the project valuation.
  • Equity Issues: Reduced price received at equity issues impacts project valuation.
  • Financial Distress: Distress costs impact firm value, increasing sensitivity to market risk. This must be included in the cost of capital, which in turn must be included in the financial valuation model
  • Agency Costs: Agency costs impact the calculation of financial distress costs.

Specific Example (Gap Expansion Loan)

  • Loan Amount: $100 million
  • Interest Rate: 6% vs 5%
  • Loan Term: 5 years, all principal repaid in year 5.

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Test your understanding of capital budgeting and valuation methods, including WACC, APV, and Flow-to-Equity. Dive into how interest tax shields impact corporate finance decisions and valuation under market imperfections.

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