Risk and return objectives: willingness vs ability to take risk
The return objective states what the portfolio must earn, often the spending need plus inflation, compounded. The risk objective states how much risk is acceptable, in absolute terms (volatility, a maximum loss) or relative to a benchmark. Risk tolerance combines ability to bear risk with willingness; when they disagree, the lower one usually wins.
Before this: The investment policy statement (IPS), Risk aversion, utility and indifference curves
On the exam
- Describe risk and return objectives and how they may be developed for a client
- Explain the difference between the willingness and the ability (capacity) to take risk in analyzing an investor’s financial risk tolerance
Describe risk and return objectives and explain willingness versus ability. Expect a client vignette: classify ability and willingness, give the overall tolerance, and sometimes compute a required return.
How deeply to learn each part
- Know the idea
- Understand it in general. It frames other topics, but you will not calculate with it.
- Use it
- Understand it well enough to solve a question with it. Recognize when it applies.
- Memorize
- Learn it by heart. The exam will not give it to you.
You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.
You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.
What is a return objective?
A return objective states what the portfolio should earn. It is half of the client’s objectives, and it must be realistic: consistent with the risk objective and with the market environment. A 12% nominal target might be reasonable when inflation runs at 8% and unrealistic when it runs at 2%. If a client’s expectations are unrealistic, the adviser counsels them on what is achievable.
- Required return Memorize what the client needs to meet a goal
- Desired return Know the idea what the client would like
- Absolute or relative Use it a number, or a margin over a benchmark
- Absolute for example, 6.6% a year
- Relative for example, benchmark plus one percentage point
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- State the basis Use it nominal or real; before or after fees and tax
- The required return is what the client must earn to meet a goal, such as a retirement income. The desired return is what the client would like. The investment policy statement (IPS) is built around the required return.
- A return objective can be absolute (a number) or relative (a margin over an index or a cash rate). Peer-group targets such as “top half of similar funds” are weak, because not everyone can be above average and a good benchmark must be investable.
- State the basis: nominal or real, before or after fees, and before or after tax. For a taxable investor the baseline is after tax.
How do you compute a required return?
Use it
If a client wants to keep the portfolio’s real value while spending a fixed amount, the portfolio must earn the spending rate and also keep up with inflation. The two effects multiply, so compound them.
Here is annual spending, the portfolio value and expected inflation. The additive shortcut is slightly too low, because it ignores inflation acting on the spending as well.
A portfolio of 1,500,000.00 must fund spending of 60,000.00 a year and keep its real value. Inflation is expected to be 2.50%. The required return is closest to:
(1 + 60,000.00 ÷ 1,500,000.00) × (1 + 0.025) − 1 = 6.60%
Required return6.60%
- 60000÷1500000+1=×1.025−1=a decimal, ×100 for percent
- 60000ENTER1500000÷1+1.025×1−a decimal, ×100 for percent
ENTER enter (on the HP, puts the number on the stack)
A different version of the same question gives a goal rather than a spending need. The goal is usually stated in today’s money, so the real growth needed is , and inflation is added on top by compounding.
An investor has 250,000.00 today and wants 600,000.00 in today's money in 18 years. Inflation is expected to average 2.00%. The annual return required is closest to:
(600,000.00 ÷ 250,000.00)^(1/18) × (1 + 0.02) − 1 = 7.08%
Required return7.08%
- 600000÷250000=y^x(1÷18)=×1.02−1=a decimal, ×100 for percent
y^x power
- 600000ENTER250000÷1ENTER18÷y^x1.02×1−a decimal, ×100 for percent
ENTER enter (on the HP, puts the number on the stack) · y^x power
Go deeper Why the return objective must not outrun the risk objective
Higher expected returns come with higher risk. If a client demands a high required return but accepts only low risk, the two objectives cannot both be met. The adviser’s job is to show the trade-off and ask the client to change something: a lower target, a higher risk, a larger contribution or a later retirement. Setting the return objective higher than the risk objective allows is a common planning error.
What is a risk objective?
Memorize
Risk objectives turn the client’s risk tolerance into limits on the portfolio. They come in three forms.
- Absolute Memorize self-standing, unrelated to market performance
- Maximum loss no loss above 8% in any calendar year
- Volatility standard deviation below 12%
- Value at risk a probability statement about losses
-
- Relative Memorize risk measured against a benchmark
- Tracking error standard deviation of return differences
- Limit versus the index not more than 4% below it in any year
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- Liability-relative Know the idea built around known future obligations (LDI)
An absolute risk objective stands on its own: “no loss greater than 8% in any calendar year”, “volatility below 12%”. Measures are standard deviation and value at risk (VaR). Because risky assets cannot promise “no loss”, such wishes are restated as probabilities: “with 95% probability, a loss of no more than 6% over any 12 months”.
A relative risk objective is measured against a benchmark: “do not trail the index by more than 4% in any year”, or a limit on tracking error , the standard deviation of the difference between portfolio and benchmark returns. It is a one-standard-deviation figure. A tracking error of 1.5% means that, if differences are roughly normal, returns stay within about 3 percentage points (two standard deviations) of the benchmark roughly 95% of the time.
A client who has known future obligations may want the portfolio built around them. That is liability-driven investment : the risk objective is to minimize the chance of failing to meet the payments, and a pension plan might aim to beat the discount rate of its liabilities. Insurers, defined benefit plans and retirees on a budget are typical cases.
Ability or willingness: which sets the risk?
Memorize
A client’s risk tolerance has two parts, and the exam wants you to keep them apart.
- Ability to bear risk Memorize objective facts
- Time horizon longer means more ability
- Income stable and secure means more ability
- Wealth versus needs a large cushion over spending or liabilities
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- Willingness to take risk Memorize attitude, a subjective factor
- Psychology personality and comfort with losses
- Experience and knowledge what the client has lived through
- Assessment discussion or a questionnaire
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| Ability to bear risk | Willingness to take risk | |
|---|---|---|
| Based on | objective facts: horizon, income stability, wealth relative to needs, liabilities | attitude: personality, experience, questionnaire answers |
| Raises it | long horizon, large wealth against spending, secure income, pension surplus | comfort with losses, investing experience |
| Lowers it | short horizon, large near-term needs, unstable income, underfunding | anxiety about losses, a past bad experience |
The ability to bear risk is judged mainly on objective factors. A 20-year investor can recover from losses; a 2-year investor cannot. The willingness to take risk , also called the risk attitude , is more subjective and is gauged by talking to the client or with a questionnaire. There is no single agreed method, and it can reflect knowledge and decision style as well as psychology.
Decision rule. When both are high, the tolerance is above average. When both are low, it is below average. When they disagree:
- Ability low, willingness high: go with ability. The overall tolerance is below average, and the adviser explains why.
- Ability high, willingness low: the adviser may counsel the client, explaining the conflict and the likely cost (lower expected return) of avoiding risk. The adviser should not try to change a willingness that does not rest on a miscalculation or misperception, because changing personality is not the adviser’s job. The prudent conclusion is the lower of the two, and the decision is documented.
Place each client card in the grid, then use the calculator under it to see how spending and inflation drive the required return.
Exam tip Compare, then pick the lower. Ability low and willingness high is the classic trap: the client “loves risk”, but cannot afford it.
Go deeper Why a questionnaire is only one input
A short questionnaire scores attitude to loss, comfort with the stock market and the importance of safety against returns. It is a useful prompt for conversation, but answers shift with recent market moves, wording and mood. Behavioral biases explain why willingness can be unreliable, which is a reason to cross-check it against the client’s actual behavior in past falls.
Go deeper Institutions: ability, stakeholders and conflict
A pension plan with a large surplus of assets over liabilities, or a strong sponsor, has high ability. Different stakeholders may want different risk: trustees of a well-funded plan may prefer low risk to protect the funding, while the sponsor wants higher expected returns to cut its future contributions. A trustee with a fiduciary duty to the beneficiaries acts in the beneficiaries’ best interests.
Memorize this
MemorizeAbility, willingness and overall risk tolerance
| Willingness LOW | Willingness HIGH | |
|---|---|---|
| Ability LOW | below-average tolerance | conflict: go with ability (below average), explain and document |
| Ability HIGH | conflict: usually go with willingness (below average); educate if it is a misunderstanding; document | above-average tolerance |
Memory hook The lower of the two sets the risk. Ability is facts, willingness is feelings, and facts win when they are worse.
Know it cold Required return that keeps real value: . Compound, never add.
MemorizeRisk objectives in one line each
Memory hook Absolute stands alone (σ, VaR, maximum loss). Relative needs a benchmark (tracking error, shortfall versus the index).
Know it cold Tracking error is one standard deviation: about 95% of the time returns stay within 2 × tracking error of the benchmark.
- Required return Memorize what the client needs to meet a goal
- Desired return Know the idea what the client would like
- Absolute or relative Use it a number, or a margin over a benchmark
- Absolute for example, 6.6% a year
- Relative for example, benchmark plus one percentage point
-
- State the basis Use it nominal or real; before or after fees and tax
- Absolute Memorize self-standing, unrelated to market performance
- Maximum loss no loss above 8% in any calendar year
- Volatility standard deviation below 12%
- Value at risk a probability statement about losses
-
- Relative Memorize risk measured against a benchmark
- Tracking error standard deviation of return differences
- Limit versus the index not more than 4% below it in any year
-
- Liability-relative Know the idea built around known future obligations (LDI)
- Ability to bear risk Memorize objective facts
- Time horizon longer means more ability
- Income stable and secure means more ability
- Wealth versus needs a large cushion over spending or liabilities
-
- Willingness to take risk Memorize attitude, a subjective factor
- Psychology personality and comfort with losses
- Experience and knowledge what the client has lived through
- Assessment discussion or a questionnaire
-
Quick example
Portfolio 600,000, spending 27,000 a year (4.5%), inflation 1.8%. 1.045 × 1.018 − 1 = 6.38% (adding gives 6.30%, which falls short).
- 27000÷600000+1=×1.018−1= 0.06381
- 27000ENTER600000÷1+1.018×1− 0.06381
ENTER enter (on the HP, puts the number on the stack)
Quick example
Invest 150,000 now to have 420,000 in today’s money in 25 years, inflation 2.0%. (2.8)^(1/25) × 1.02 − 1 = 1.0420 × 1.02 − 1 = 6.29%.
- 420000÷150000=y^x(1÷25)=×1.02−1= 0.0629
y^x power
- 420000ENTER150000÷1ENTER25÷y^x1.02×1− 0.0629
ENTER enter (on the HP, puts the number on the stack) · y^x power
How it is asked
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Compute the required return
EUR 3,200,000 portfolio, EUR 112,000 spending, 2.4% inflation. Return needed?
112,000 ÷ 3,200,000 = 3.50%; 1.035 × 1.024 − 1 = 5.98%. Traps: 3.50% (no inflation), 5.90% (added).
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Ability low, willingness high
Modest savings, unstable income, large mortgage, "loves risk". Overall tolerance?
Below average (ability is low). Trap: above average.
-
Ability high, willingness low
Wealthy, secure income, but panicked in the last downturn. What does the adviser do?
Go with the lower: below average. Explain the cost of low risk, document.
-
Absolute or relative?
"Do not underperform the global equity index by more than 4% in any year."
Relative risk objective (it refers to an index). Absolute ones stand alone.
Exam traps
- Taking the higher of ability and willingness. The lower one usually sets the overall risk tolerance.
- Treating willingness as fixed when it rests on a misunderstanding. Educate first, then document.
- Adding spending and inflation when options are close. Compound them: (1 + s)(1 + inflation) − 1.
Checkpoint
5 exam-style questions. About 90 seconds each.
1A retiree has a EUR 2,400,000 portfolio and needs EUR 90,000 a year for spending. Inflation is expected to be 2.0%. The return needed to fund spending and preserve the portfolio's real value is closest to:
2A young entrepreneur with modest savings, an unpredictable income and a large mortgage says they love risky investments. The client's risk tolerance is best described as:
3'The portfolio should not underperform the global equity index by more than 4% in any year' is best described as:
4An investor has USD 350,000 today and wants USD 800,000, in today's money, in 22 years. Inflation is expected to average 2.5% a year. The annual return required is closest to:
5A client wants the portfolio's annual standard deviation of returns to stay below 10%. This is best described as:
Key takeaways
- Return objective: what the portfolio must earn. Compound spending and inflation.
- Risk objective: absolute (standard deviation, VaR, maximum loss) or relative (tracking error, shortfall versus a benchmark).
- Ability to bear risk is based on facts; willingness is attitude.
- When they conflict, the lower one usually wins. Explain the conflict and document the decision.
Quick example
Portfolio 600,000, spending 27,000 a year (4.5%), inflation 1.8%. 1.045 × 1.018 − 1 = 6.38% (adding gives 6.30%, which falls short).
- 27000÷600000+1=×1.018−1= 0.06381
- 27000ENTER600000÷1+1.018×1− 0.06381
ENTER enter (on the HP, puts the number on the stack)
Quick example
Invest 150,000 now to have 420,000 in today’s money in 25 years, inflation 2.0%. (2.8)^(1/25) × 1.02 − 1 = 1.0420 × 1.02 − 1 = 6.29%.
- 420000÷150000=y^x(1÷25)=×1.02−1= 0.0629
y^x power
- 420000ENTER150000÷1ENTER25÷y^x1.02×1− 0.0629
ENTER enter (on the HP, puts the number on the stack) · y^x power
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Practice exam-style questions on Basics of Portfolio Planning and Construction
Questions about this lesson?
Where this comes back
- IPS constraints: liquidity, time horizon, taxes, legal and unique circumstances Basics of Portfolio Planning and Construction
- The Behavioral Biases of Individuals Portfolio Construction
Questions candidates ask
What is the difference between ability and willingness to take risk?
Ability to bear risk rests on objective facts: time horizon, income stability and wealth relative to needs and liabilities. Willingness is a subjective attitude to losses, shaped by personality and experience. Overall risk tolerance combines the two, and when they conflict the lower one usually sets the risk.
How do you calculate a required return for a client?
Divide annual spending by portfolio value to get the spending rate s, then compound with inflation: (1 + s)(1 + inflation) − 1. For a goal in today's money use (G ÷ V)^(1/N) × (1 + inflation) − 1. Always compound; adding the rates understates the need.
What is an absolute vs relative risk objective?
An absolute risk objective stands alone, such as 'no loss above 8% in any calendar year' or 'volatility below 12%'. A relative risk objective is set against a benchmark, such as 'tracking error below 2%' or 'never trail the index by more than 4%'.
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