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Explain what risk tolerance and risk budgeting mean

CFA® Level I · Portfolio Management · Introduction to Risk Management · PM.7.b

The idea

Risk tolerance is the senior decision about how much risk the organisation is willing and able to bear in pursuit of its objectives, taken with reference to what it could survive as well as what it would prefer. Risk budgeting allocates that total to specific activities, so a limit exists before an exposure is taken rather than after it is questioned. The budget can be expressed in standard deviation, value at risk or contribution to total risk, and the last is the most informative because it accounts for how positions interact rather than treating each in isolation.

A practice question

From the question bank, with the reason each wrong option is wrong.

What does risk budgeting do?

  1. Allocates the organisation's total risk tolerance across specific activities — correct
  2. Sets the annual operating expense limitWhy not: A cost control exercise, unrelated to how much risk each activity may run.
  3. Determines the cost of hedgingWhy not: A market price, set by what the hedge trades at rather than by an internal allocation.

It converts a single tolerance decision into limits that can be applied before positions are taken.

A harder one

Why is allocating risk by contribution to total risk more informative than by standalone volatility?

  1. Because standalone volatility cannot be measuredWhy not: It is measured easily; the objection is that it ignores how positions interact.
  2. Because it accounts for correlations — correct
  3. Because contribution measures are required by regulationWhy not: Some regimes encourage them, which is a consequence of their usefulness rather than the reason for it.

A diversifying position is not penalised as heavily as a concentrating one. Two units with identical standalone volatility can have very different effects on the whole, and budgeting on standalone figures discourages exactly the diversifying exposures that should be encouraged.

The hardest tier

A board is comfortable with a loss that would leave the firm unable to meet its obligations. What has been overlooked?

  1. Capacity to bear the loss — correct
  2. The ease of measuring the exposureWhy not: Measurement is a separate question, and the exposure here has evidently been quantified.
  3. The regulator's reporting requirementsWhy not: Reporting is a disclosure duty. What is missing is the recognition that this loss ends the firm.

Capacity is a fact about survival rather than a preference. Willingness is the preference, and only one of the two binds.

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