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FNCE90018 Chap.5 Cost of Capital and Project Risk

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Chapter 5 of 10 · FNCE90018

Cost of Capital and Project Risk

Define Weighted Average Cost of Capital

The course material gives this chapter a concrete anchor: The lecture develops cost of equity, cost of debt and project cost of capital through WACC.

That Weighted Average Cost of Capital anchor controls how Cost of Equity is explained and how Cost of Debt is tested in changed practice.

Cost of Capital and Project Risk is a quantitative decision problem built from Weighted Average Cost of Capital, Cost of Equity and Cost of Debt.

The aim is to match a projects risk and financing assumptions to a defensible required return; a numerical result earns meaning only when the variables, units, assumptions and comparison are all explicit.

Begin with Weighted Average Cost of Capital: state what quantity it represents, the scale on which it is measured and the condition under which it changes.

Then map every symbol in the Cost of Capital and Project Risk formula checkpoint to Weighted Average Cost of Capital before calculation begins.

Next connect Cost of Equity to the calculation. Show the Cost of Equity transformation line by line, preserve units and signs, and make any denominator or baseline visible.

A Cost of Equity calculator output is not a method; the reader must be able to reconstruct why that operation answers the question.

Use Cost of Debt to interpret or stress-test the result. Ask whether the Cost of Debt magnitude is plausible, whether a boundary case behaves as expected and which conclusion would reverse if an assumption changed.

This is where computation becomes analysis rather than arithmetic.

When the task is to match a projects risk and financing assumptions to a defensible required return, separate inputs supplied by the problem from quantities you derive.

Then report the Cost of Debt result in the language of the course and attach the relevant uncertainty, limitation or decision consequence.

Formula checkpoint: Weighted Average Cost of Capital

After-tax WACC
WACC=ED+ErE+DD+ErD(1τc)WACC=\frac{E}{D+E}r_E+\frac{D}{D+E}r_D(1-\tau_c)

Market-value weights combine the required returns on equity and after-tax debt under a stable financing policy.

Trace Cost of Equity

Build a representation check before solving.

Put Weighted Average Cost of Capital, Cost of Equity and Cost of Debt into a small symbol-and-units table, mark which values are observed and which are calculated, and predict the direction of the result before doing arithmetic.

A sign, scale or unit mismatch in Weighted Average Cost of Capital then becomes visible at setup instead of being hidden inside a polished final number.

Run one sensitivity test after the baseline answer. Change the input most closely connected to Cost of Equity, hold the remaining assumptions fixed and recompute only the affected steps. Explain whether the movement in Cost of Debt matches the mechanism.

This Cost of Equity sensitivity shows which assumption controls the conclusion and prevents a single scenario from being presented as universal.

Use a three-column Weighted Average Cost of Capital error log for FNCE90018: translation error, calculation error and interpretation error.

Record the exact line where the Cost of Equity solution first diverged, rewrite that line, and check it with a limiting case or an independent calculation.

Correcting the first failed Cost of Equity move is more useful than copying the complete solution again.

A complete response should make the task visible before the detail: identify what must be decided, define the relevant terms, connect the evidence to Cost of Equity, and use Cost of Debt to test the result.

The final sentence about Cost of Debt should answer the question actually asked rather than merely repeat the topic.

The controlling limit is specific: A company-wide WACC is unsuitable when project risk or financing differs materially from the firms benchmark.

Keep that Cost of Debt limit beside the worked example, because it separates a careful FNCE90018 answer from one that sounds confident but claims more than the task or evidence supports.

For revision, retrieve Weighted Average Cost of Capital, Cost of Equity and Cost of Debt without notes, explain their relationship aloud, then complete a changed version of the application: match a projects risk and financing assumptions to a defensible required return.

Record the first failed Cost of Equity reasoning move and repair it before attempting another case.

In this chapter

What this chapter covers

  • 01

    Weighted Average Cost of Capital

  • 02

    Cost of Equity

  • 03

    Cost of Debt

  • 04

    Applying Weighted Average Cost of Capital

  • 05

    Limits of Cost of Equity and Cost of Debt

Worked example · free

Cost of Capital and Project Risk: resolve the changed evidence

Q [11 marks]. Raise the projects operating risk while leaving the firms capital mix unchanged and reconsider the discount rate. Develop a response that uses Weighted Average Cost of Capital, makes the role of Cost of Equity inspectable, and lets Cost of Debt alter the conclusion.
  • 3Fix the case-specific meaning and evidential scale of Weighted Average Cost of Capital.
  • 3Show the operation or inferential link carried by Cost of Equity.
  • 3Use Cost of Debt to test the strongest plausible alternative.
  • 2Report the answer within this limit: A company-wide WACC is unsuitable when project risk or financing differs materially from the firms benchmark.
The response first fixes Weighted Average Cost of Capital at the scale stated in the scenario and excludes evidence that belongs to a different object. It then traces Cost of Equity through the relevant evidence rather than assuming the connection. The comparison supplied by Cost of Debt determines whether the initial position remains, narrows or reverses. The final claim stays conditional on this boundary: A company-wide WACC is unsuitable when project risk or financing differs materially from the firms benchmark.
Sia tip — Put the decisive Cost of Equity evidence beside the first conclusion it changes; use the Cost of Debt counter-case to reveal any unsupported leap in chapter 5.
Glossary

Key terms

Weighted Average Cost of Capital
The market-value weighted required return on the firms debt and equity under the financing assumptions used. Use this definition when the task is to match a projects risk and financing assumptions to a defensible required return.
Cost of Equity
The expected return required by equity investors for bearing the risk of the equity claim. Use this definition when the task is to match a projects risk and financing assumptions to a defensible required return.
Cost of Debt
The current required return on the firms debt before the tax adjustment used in WACC. Use this definition when the task is to match a projects risk and financing assumptions to a defensible required return.
FAQ

Cost of Capital and Project Risk FAQ

What has to line up before students can match a projects risk and financing assumptions to a defensible required return?

Match a projects risk and financing assumptions to a defensible required return. The lecture develops cost of equity, cost of debt and project cost of capital through WACC.

Is A company-wide WACC unsuitable when project risk or financing differs materially from the firms benchmark?

A company-wide WACC is unsuitable when project risk or financing differs materially from the firms benchmark. The expected return required by equity investors for bearing the risk of the equity claim.

Which conclusion should be retested after raising the projects operating risk while leaving the firms capital mix unchanged and reconsider the discount rate?

The response first fixes Weighted Average Cost of Capital at the scale stated in the scenario and excludes evidence that belongs to a different object. It then traces Cost of Equity through the relevant evidence rather than assuming the connection. The comparison supplied by Cost of Debt determines whether the initial position remains, narrows or reverses.

The final claim stays conditional on this boundary: A company-wide WACC is unsuitable when project risk or financing differs materially from the firms benchmark.

Study strategy

Exam move

Reconstruct the relationship among Weighted Average Cost of Capital, Cost of Equity and Cost of Debt; complete the chapter application without notes; then test the result against this limit: A company-wide WACC is unsuitable when project risk or financing differs materially from the firms benchmark..

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