FRM Part II · FRM Exam Part II
Performing Due Diligence on Specific Managers and Funds: formula sheet
Key formulas
- Sharpe ratio
- Sharpe = (Rp − Rf) ÷ σp
- Excess return per unit of total volatility. Use annualised figures consistently. Smoothed returns understate σ and inflate Sharpe.
- Alpha from a single-factor regression
- Rp − Rf = α + β(Rm − Rf) + ε
- α is the return not explained by market exposure. Extend with more factors in multi-factor attribution.
- Information ratio
- IR = α ÷ tracking error
- Active return per unit of active risk against a benchmark.
- Maximum drawdown
- MDD = (Trough value − Prior peak) ÷ Prior peak
- Largest peak-to-trough loss. Compare it with the fund's stated risk limits.
- Return decomposition
- Total return = Beta return + Factor return + Alpha
- Only the alpha part is evidence of manager skill.
- Annualised volatility from monthly data
- σ(annual) = σ(monthly) × √12
- Valid when monthly returns are roughly uncorrelated. Positive autocorrelation from smoothing makes this understate risk.
- ODD scope
- ODD = people + processes + valuation + service providers + legal/governance + compliance
- Use this as a checklist to organise any answer. It is not a numeric formula.
- Independence test
- Independent check = administrator + auditor + custodian/prime broker not controlled by the manager
- If the manager controls or is the same entity as these roles, fraud risk rises sharply.
- Segregation of duties
- Trade initiation ≠ trade confirmation ≠ cash movement ≠ valuation
- One person controlling several of these steps is a control weakness.
- Red flag principle
- Multiple red flags + weak explanations → reject or escalate
- A single flag may be explainable. A cluster is stronger evidence. Unresolved serious flags justify a decline.
- Gross exposure
- Gross exposure = Long market value + |Short market value|
- Gross exposure as a percentage of fund equity (NAV) is a common leverage measure.
- Net exposure
- Net exposure = Long market value − |Short market value|
- Shows directional market risk. A fund can have low net but high gross exposure.
- Leverage ratio
- Leverage = Gross exposure ÷ Net asset value (NAV)
- Define the measure used; notional-based leverage for derivatives can differ from balance-sheet leverage.
- Liquidity mismatch test
- Days to liquidate portfolio vs. redemption notice period plus payment period
- If assets take longer to sell than investors need to be paid, the fund has a mismatch.
- Valuation hierarchy
- Level 1: quoted prices; Level 2: observable inputs; Level 3: unobservable inputs
- Level 3 carries the most model and judgement risk.
- Management fee
- Management fee = fee rate × assets under management (or NAV)
- Charged regardless of performance. Check whether it is based on opening, average or closing NAV.
- Incentive fee with high-water mark
- Incentive fee = incentive rate × max(0, ending NAV − max(HWM, beginning NAV)) when fees are measured on NAV per unit
- Fee is due only on gains above the highest NAV on which a fee was paid. After a loss, the fund must first recover to the HWM.
- Hard hurdle incentive fee
- Incentive fee = incentive rate × max(0, profit − hurdle amount)
- The manager earns the fee only on the excess above the hurdle.
- Soft hurdle incentive fee
- If profit > hurdle amount, incentive fee = incentive rate × total profit; otherwise 0
- Once the hurdle is cleared, the fee applies to the whole profit.
- Net return
- Net return = gross return − management fee − incentive fee (as a % of starting NAV)
- Fees are usually calculated in order: management fee first, then incentive fee on profit after it, unless the documents say otherwise.
Quick revision
- Due diligence has two parts: investment review and operational review. Both are needed.
- Check that strategy is clear, repeatable and consistent with what the manager says it does.
- A track record needs context: length, market conditions, size of assets then and now, and consistency of strategy.
- Style drift means the fund moves away from its stated strategy and is a warning sign.
- Judge returns alongside risk, such as volatility and drawdown, not returns alone.
- Match asset liquidity to redemption terms; illiquid assets with frequent redemptions create a run risk.
- Independent valuation is key; manager-controlled pricing of hard-to-value assets is a red flag.
- Independent administrator, auditor and prime broker or custodian reduce fraud risk.
- Weak controls, key-person dependence and unexplained returns are common fraud and failure signals.
- Check the manager's background, references, past conflicts and any regulatory or legal history.
- Governance includes board oversight, conflicts policy and clear fee and side-letter terms.
- Ask whether some investors get better liquidity or transparency terms than others, and what that means for you.
Common mistakes
- Treating due diligence as only a performance review. Fix: Remember that operational and legal review is a separate, equal pillar. Many failures are operational.
- Believing due diligence ends once you invest. Fix: Include ongoing monitoring and trigger-based re-review, such as key-person loss, style drift or redemptions.
- Treating high past returns as proof of skill. Fix: Always attribute returns to beta, factors and alpha, and ask whether the edge explains them.
- Ignoring capacity when assets have grown. Fix: Compare current assets and position sizes with market liquidity. Expect lower returns if the strategy has outgrown its capacity.
- Treating strong, steady returns as evidence of quality. Fix: Remember Madoff. Returns that are too smooth for the stated strategy are a red flag that needs explanation.
- Accepting that a big-name feeder fund has done the due diligence. Fix: Feeder funds often failed to verify the underlying manager. You remain responsible for checking independence and controls.
- Treating fund liquidity and asset liquidity as the same thing. Fix: Asset liquidity concerns selling positions. Fund liquidity concerns investor redemption terms. Always compare the two.
- Assuming that a fund with low net exposure has low leverage. Fix: Check gross exposure and financing. Leverage is measured against NAV using gross figures.
- Treating a high-water mark and a hurdle rate as the same thing. Fix: The HWM is about prior peak NAV and recovering losses. The hurdle is a minimum return over a period. A fund can have both.
- Charging the incentive fee on the full profit when the hurdle is hard. Fix: Hard hurdle: fee only on profit above the hurdle. Soft hurdle: fee on the whole profit once the hurdle is beaten.
Exam tips
- Questions often ask which source is most reliable. Choose independent third-party verification over manager statements.
- If the stem mentions valuation, fraud or controls, the answer is usually an operational due diligence item.
- Remember both phases: before investing and ongoing monitoring.
- Watch for words like first, best and most important, and rank your options accordingly.
- When a question gives raw returns, look for the hidden step: strip out beta or factor exposure before judging skill.
- Very smooth returns in an illiquid strategy usually point to smoothing or valuation issues, not exceptional skill.
- If assets have grown a lot, think capacity first, especially in small-cap, distressed or niche strategies.
- Between two plausible options, choose the one that requests independent evidence such as position-level data or attribution.