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FNCE90056 Chap.4 CAPM, Beta and the Security Market Line

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Chapter 4 of 5 · FNCE90056

CAPM, Beta and the Security Market Line

CAPM, Beta and the Security Market Line develops this reasoning route: Connect covariance with the market to beta and use the security market line as an equilibrium expected-return benchmark. Start with systematic risk, which is Return risk associated with market-wide movements that diversification does not remove. Then use beta as a separate analytical move: An asset's covariance with the market scaled by market variance.

For systematic risk, a definition must classify an observed fact rather than decorate a paragraph; beta must then carry a mechanism or test an inference. The chapter application asks you to Estimate the CAPM required return for two securities, compare it with each expected return and explain the pricing signal.

The controlling limit is: CAPM prices beta risk under its assumptions; total volatility alone does not determine the benchmark expected return. A defensible systematic risk response compares security market line under the same criteria, identifies uncertainty and closes with a responsible actor, action and review trigger. Build the beta evidence chain in four passes.

First, state the decision and define systematic risk without importing a conclusion. Second, choose only facts that activate or challenge beta. Third, explain the intermediate mechanism so the first unsupported beta move is visible. Fourth, change one condition attached to security market line and decide whether the result remains, narrows or reverses.

That security market line variation turns the vocabulary into a transferable method and makes correction more precise than rereading. Keep definitions, observations, assumptions and judgements about systematic risk in separate sentences, especially when the case leaves evidence incomplete. Before finalising, audit the conclusion backwards from risk premium.

Ask which fact supports each claim, which concept gives that fact relevance and which uncertainty could defeat the risk premium connection. If systematic risk and beta appear to do the same job, rewrite one paragraph until their different effects become observable. When the security market line alternative cannot change the action, strengthen the comparison or remove it.

Finally, translate risk premium into a practical sequence: identify who decides, what happens next, which evidence is retained and when the judgement is reviewed. These controls keep the systematic risk conclusion from outrunning the chapter evidence.

In this chapter

What this chapter covers

  • 01

    Systematic risk

  • 02

    Beta

  • 03

    Security market line

  • 04

    Risk premium

  • 05

    Applied decision method

  • 06

    Boundary and transfer test

Worked example · free

Apply systematic risk to a changed case

Q [4 marks]. Estimate the CAPM required return for two securities, compare it with each expected return and explain the pricing signal. This is independently written practice, not an official assessment question or marking scheme.
  • 1Define systematic risk and state the decision boundary.
  • 1Connect the material facts to beta through an explicit mechanism.
  • 1Use security market line to test a credible alternative.
  • 1State the qualified conclusion and review condition.
Define systematic risk, tie it to the decisive fact, use beta to explain the mechanism and let security market line test the preferred account. The answer must remain inside this limit: CAPM prices beta risk under its assumptions; total volatility alone does not determine the benchmark expected return.
Sia tip — Write the systematic risk definition first, then underline the separate evidence needed for beta before concluding.
Glossary

Key terms

Systematic risk
Return risk associated with market-wide movements that diversification does not remove. Use it by tying the definition to a fact and a consequence in the chapter case.
Beta
An asset's covariance with the market scaled by market variance. Use it by tying the definition to a fact and a consequence in the chapter case.
Security market line
The CAPM relationship between beta and required expected return. Use it by tying the definition to a fact and a consequence in the chapter case.
FAQ

CAPM, Beta and the Security Market Line FAQ

Which inputs must be identified before calculating systematic risk?

State the definition first: Return risk associated with market-wide movements that diversification does not remove. Identify the fact that establishes the starting object, explain why it matters to the decision and keep the conclusion inside this boundary: CAPM prices beta risk under its assumptions; total volatility alone does not determine the benchmark expected return.

How would beta move if one stated assumption changed?

Use beta to carry the central relationship rather than repeat the opening label. Its chapter meaning is: An asset's covariance with the market scaled by market variance. Show the intermediate step and the evidence that could make that mechanism fail.

When is security market line the appropriate benchmark for this comparison?

Reverse the case condition closest to security market line and retrace only the affected steps. The relevant meaning is: The CAPM relationship between beta and required expected return. State whether the action remains, narrows or reverses and why.

What can and cannot be inferred from risk premium alone?

Treat risk premium as a constraint with analytical force: Expected return above the risk-free rate as compensation for bearing priced risk. Name the uncertainty, responsible actor and review trigger instead of presenting the chapter judgement as universal.

Study strategy

Exam move

Retrieve systematic risk, beta, security market line, risk premium without notes, apply them to a changed version of the case and repair the first step that violates this limit: CAPM prices beta risk under its assumptions; total volatility alone does not determine the benchmark expected return.

Working through CAPM, Beta and the Security Market Line in FNCE90056? Sia is AskSia’s AI Finance tutor — ask any FNCE90056 CAPM, Beta and the Security Market Line question and get a clear, step-by-step explanation grounded in how FNCE90056 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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