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Questions and Answers
What is the estimated equity cost of capital for Avco's plastics division?
What is the estimated equity cost of capital for Avco's plastics division?
What is the WACC for the plastics division according to the given calculations?
What is the WACC for the plastics division according to the given calculations?
In the GPS inventory system scenario, what is the calculated equity cost of capital?
In the GPS inventory system scenario, what is the calculated equity cost of capital?
What factors contribute to the differences in costs of capital across different divisions?
What factors contribute to the differences in costs of capital across different divisions?
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What is the main purpose of the WACC method in capital budgeting?
What is the main purpose of the WACC method in capital budgeting?
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What key assumption is made when using the WACC method?
What key assumption is made when using the WACC method?
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What does the Adjusted Present Value (APV) method primarily focus on?
What does the Adjusted Present Value (APV) method primarily focus on?
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Which method highlights the cash flow available to equity holders after debt payments?
Which method highlights the cash flow available to equity holders after debt payments?
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In the WACC method, what must be true about the firm's debt-equity ratio?
In the WACC method, what must be true about the firm's debt-equity ratio?
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What is the role of interest tax shield in capital budgeting decisions?
What is the role of interest tax shield in capital budgeting decisions?
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When capital budgeting for a project with leverage, what is considered an imperfection in the market?
When capital budgeting for a project with leverage, what is considered an imperfection in the market?
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What method is used to calculate the depreciation of the equipment?
What method is used to calculate the depreciation of the equipment?
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What is the expected WACC for Avco as calculated?
What is the expected WACC for Avco as calculated?
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How much new debt must Avco add to maintain its debt-to-value ratio after the RFX project?
How much new debt must Avco add to maintain its debt-to-value ratio after the RFX project?
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What is the NPV of the RFX project?
What is the NPV of the RFX project?
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What is the purpose of computing the value of the investment using the WACC?
What is the purpose of computing the value of the investment using the WACC?
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By undertaking the RFX project, how much does the market value of Avco's equity increase?
By undertaking the RFX project, how much does the market value of Avco's equity increase?
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What will Avco do with the $2.625 million that remains after funding the RFX project?
What will Avco do with the $2.625 million that remains after funding the RFX project?
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Which of the following is a step in the WACC method summarized?
Which of the following is a step in the WACC method summarized?
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Which tax rate is applied in the calculation of WACC for Avco?
Which tax rate is applied in the calculation of WACC for Avco?
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What is the present value of the interest tax shield when calculated using the APV method?
What is the present value of the interest tax shield when calculated using the APV method?
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Which calculation is required to determine the investment's value without leverage in the APV method?
Which calculation is required to determine the investment's value without leverage in the APV method?
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What does the Flow-to-Equity method calculate?
What does the Flow-to-Equity method calculate?
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In the Flow-to-Equity method, what adjustment is made to the cash flows regarding interest?
In the Flow-to-Equity method, what adjustment is made to the cash flows regarding interest?
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How is net borrowing at date t calculated?
How is net borrowing at date t calculated?
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What is the final step in the APV method?
What is the final step in the APV method?
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What should the cash flows to equity holders be discounted at in the Flow-to-Equity method?
What should the cash flows to equity holders be discounted at in the Flow-to-Equity method?
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What effect does net borrowing have on the calculation of free cash flow to equity holders?
What effect does net borrowing have on the calculation of free cash flow to equity holders?
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What represents the cash flow available to equity holders after accounting for all payments to debt holders?
What represents the cash flow available to equity holders after accounting for all payments to debt holders?
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What is the purpose of calculating the free cash flow to equity in the Flow-to-Equity method?
What is the purpose of calculating the free cash flow to equity in the Flow-to-Equity method?
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How is NPV calculated in the provided example?
How is NPV calculated in the provided example?
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What factors can cause the equity cost of capital for a project to differ from the firm's overall equity cost of capital?
What factors can cause the equity cost of capital for a project to differ from the firm's overall equity cost of capital?
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What is the unlevered cost of capital for Competitor 1, based on the provided information?
What is the unlevered cost of capital for Competitor 1, based on the provided information?
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What does the term 'project-based costs of capital' refer to?
What does the term 'project-based costs of capital' refer to?
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Which method can be used to estimate the unlevered cost of capital for a new business division?
Which method can be used to estimate the unlevered cost of capital for a new business division?
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In the Flow-to-Equity method, which of the following is NOT a step in the process?
In the Flow-to-Equity method, which of the following is NOT a step in the process?
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What impact does leverage have on the equity cost of capital for a specific project?
What impact does leverage have on the equity cost of capital for a specific project?
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What is the formula for calculating Competitor 2's unlevered cost of capital?
What is the formula for calculating Competitor 2's unlevered cost of capital?
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What is a key consideration when using the WACC or FTE method for project evaluation?
What is a key consideration when using the WACC or FTE method for project evaluation?
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Study Notes
Asset Pricing and Corporate Finance II - Capital Budgeting and Valuation with Leverage
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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
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Methods:
- WACC method
- Adjusted Present Value (APV) method
- Flow-to-Equity method
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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
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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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Description
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.