CFA Level III Exam 1

✅ Correct answer: Reject the censure and have a hearing panel review it

📌 Explanation: Under the Professional Conduct Program, a member who receives a proposed sanction from Professional Conduct staff may accept or reject it. If she rejects it, the matter is referred to a hearing panel of the Disciplinary Review Committee, which reviews the evidence and decides whether a violation occurred and which sanction applies.

❌ Why the other options are wrong: The disciplinary process is run by CFA Institute, not by a national regulator, so the securities regulator has no role in reviewing a censure; staff findings are only proposals, and the member is entitled to reject them and have a hearing panel decide the matter.

📋 Objective: 5.1 (Code of Ethics and Standards of Professional Conduct)

✅ Correct answer: He violated the Standard by accepting the lodge stay

📌 Explanation: Standard I(B) allows an analyst to accept issuer-paid travel only when commercial transport is not available, as with the estates' airstrip. A three-night family stay at a luxury lodge has no research purpose and is a lavish gift that could reasonably be expected to compromise his independence just before the rating review, so accepting it violates the Standard.

❌ Why the other options are wrong: Issuer-paid arrangements are acceptable only when modest and needed for the research, so calling them normal practice ignores the lavish lodge stay; the charter flight is permitted because no scheduled flights serve the airstrip, so it is not the breach.

📋 Objective: 5.2 (Guidance for Standard I: Professionalism)

✅ Correct answer: She complied, as her conclusion rests on a mosaic of sources

📌 Explanation: The mosaic theory allows an analyst to reach a material conclusion by combining public information with nonmaterial nonpublic information. Satellite images bought commercially and published freight volumes are public, and drivers' casual remarks at a truck stop are nonmaterial on their own, so her sell recommendation does not breach Standard II(A).

❌ Why the other options are wrong: The drivers' remarks are nonpublic but immaterial on their own and were not passed on by the company in breach of a duty, so they do not create a violation; the Standards do not require analysts to wait for company results before acting on legitimate research.

📋 Objective: 5.3 (Guidance for Standard II: Integrity of Capital Markets)

✅ Correct answer: She violated it by voting without regard to clients' interests

📌 Explanation: Standard III(A) Loyalty, Prudence, and Care treats proxy voting rights as client assets that must be exercised in clients' best interests. A cost-benefit approach may justify routine votes with management, but a contested merger that Odhiambo's own analysis shows would harm minority shareholders is material, so voting for it under a blanket policy breaches her duty.

❌ Why the other options are wrong: A firm policy cannot override the duty of loyalty when a vote is material, so following it does not make the vote compliant; cost-benefit analysis can excuse limited effort on routine matters, but not a contested merger that her analysis shows harms the pension clients.

📋 Objective: 5.4 (Guidance for Standard III: Duties to Clients)

Rolling yield = yield to maturity 17.5% + rolldown 0.7% = 18.2%.

Expected price change from the yield rise = −3.8 × 1.2% = −4.56%.

Expected bond return = 18.2% − 4.56% − 0 credit losses = 13.64%.

Required return = 5.0% spending + 16.0% inflation + 0.5% costs = 21.5%.

Bonds alone fall short: 13.64% is about 7.9 percentage points below 21.5%, so a bond-only portfolio would erode the endowment's real value.

📋 Objective: 1.2 (Capital market expectations: forecasting asset class returns)

Expected return = dividend yield + (real earnings growth + inflation) − change in shares outstanding + repricing = 5.5% + (3.5% + 16.0%) − 1.0% + (−1.5%) = 22.5%.

Net new share issuance of 1.0% a year is dilution: it dilutes existing holders because each existing share claims a smaller part of aggregate earnings, so it is subtracted.

The expected P/E contraction of 1.5% a year is a negative repricing return, because investors are expected to pay a lower multiple for the same earnings.

At 22.5%, equities exceed the 21.5% requirement and offer 22.5 − 13.64 = 8.86 percentage points more than bonds.

📋 Objective: 1.2 (Capital market expectations: forecasting asset class returns)

Reject the proposal in its current form; at most, phase in a smaller increase. High nominal yields are compensation for risks that the vignette makes clear:

• Economic concentration: crude oil dominates exports and government revenue, so an oil-price fall hits the naira, public finances, bond yields and share prices together, and diversification within Nigerian assets is limited.
• Market liquidity: the index is dominated by a few banks and telecoms groups and most other shares see thin trading, so large positions are illiquid and slow to sell.

The university's own income is also tied to the Nigerian economy, so 80% in domestic assets would concentrate the sponsor's and the fund's risks.

📋 Objective: 1.2 (Capital market expectations: forecasting asset class returns)

✅ Correct answer: He complied, because he obtained his employer's written consent first

📌 Explanation: Standard IV(B) requires a member to obtain written consent from all parties involved before accepting compensation that might create a conflict with the employer's interest. Nkosi disclosed the nature, amount and terms of the bonus to his employer in writing and received written consent before accepting, so he complied with the Standard.

❌ Why the other options are wrong: The Standard does not ban client-paid bonuses; it requires disclosure to, and written consent from, the employer, which Nkosi obtained; consent from his other clients is not required, because the arrangement creates a potential conflict with his employer, not with them.

📋 Objective: 5.5 (Guidance for Standard IV: Duties to Employers)

✅ Correct answer: She violated it by not testing the model across varied market conditions

📌 Explanation: Standard V(A) requires diligence and a reasonable and adequate basis for investment actions, including understanding a quantitative model's assumptions and testing it across a range of conditions. A two-year backtest over a steadily rising market, with no transaction costs or stress tests, does not support launching a fund, so Molefe violated the Standard.

❌ Why the other options are wrong: Strong results over a single rising market say little about how the model behaves in falls, so they do not provide a reasonable basis; showing past model returns in marketing materials adds a performance claim rather than curing the lack of testing.

📋 Objective: 5.6 (Guidance for Standard V: Investment Analysis, Recommendations, and Actions)

✅ Correct answer: It violates Standard VI(A), because her directorship is not disclosed

📌 Explanation: Standard VI(A) Disclosure of Conflicts requires members to make full and fair disclosure of matters that could reasonably be expected to impair their independence and objectivity. A paid board seat at the company she recommends is such a conflict, so omitting it from the note breaches the Standard even though the analysis is sound.

❌ Why the other options are wrong: Director fees paid by the company deepen the conflict rather than removing it, because part of her income depends on the issuer; relying on public information addresses Standard II(A) but does not satisfy the separate duty to disclose the directorship to clients.

📋 Objective: 5.7 (Guidance for Standard VI: Conflicts of Interest)

✅ Correct answer: He violated it by revealing which topics the exam tested

📌 Explanation: Standard VII(A) prohibits conduct that compromises the integrity, validity or security of CFA Institute exams, including disclosing which topics or formulas were tested. By telling later candidates that currency overlays and variance swaps were examined, Moyo disclosed confidential exam content, even though he gave no actual questions.

❌ Why the other options are wrong: Naming broad topics still discloses confidential information that gives later candidates an unfair advantage, so it is not permitted; the duty of confidentiality continues after a testing window closes, because the content of each exam must stay secret.

📋 Objective: 5.8 (Guidance for Standard VII: Responsibilities as a CFA Institute Member or CFA Candidate)

Weakness: no separation of duties or independent oversight. The chief investment officer writes and approves the IPS, sets the strategic allocation and then reports on his own results against a benchmark he picks, a self-review the board cannot challenge.

Changes: (1) Establish an investment committee with qualified members, reporting to the board, to approve the IPS and the strategic asset allocation, leaving the CIO to implement them. (2) Have performance measured independently, for example by the custodian or an external consultant, against a benchmark approved by the committee, and reported directly to the board.

📋 Objective: 1.3 (Overview of asset allocation)

Current surplus = 5600 − 5000 = GHS 600 million.

After a 1 percentage point fall in yields: assets rise by 5600 × 4.5 × 0.01 = GHS 252 million; liabilities rise by 5000 × 9.0 × 0.01 = GHS 450 million.

New surplus = 600 + 252 − 450 = GHS 402 million, a fall of 198 million (33%).

The insurer has a large duration mismatch: the liabilities are twice as rate-sensitive as the assets (money duration 25200 versus 45000, a money duration gap of −19800), so falling yields erode the surplus. It is exposed to interest rate and reinvestment risk.

📋 Objective: 1.3 (Overview of asset allocation)

Adopt the actuary's liability-relative (surplus) approach.

• The insurer exists to pay policy liabilities, so risk should be measured as surplus volatility, not the volatility of the assets alone.
• The consultant's asset-only allocation ignores the liabilities: 45% in short-term bills would widen the duration mismatch and leave the surplus exposed to falling yields.
• A hedging portfolio matched to the liabilities' duration of 9.0 protects the surplus, and the return-seeking assets are funded only from the GHS 600 million surplus.

📋 Objective: 1.3 (Overview of asset allocation)

✅ Correct answer: It is inadequate, because small trades can still front-run client orders

📌 Explanation: Standard VI(B) Priority of Transactions requires client and employer transactions to take priority over personal ones, and the guidance recommends pre-clearance of personal trades in securities the firm trades, blackout periods and timely reporting. An EGP 2 million threshold leaves smaller trades free to front-run client orders, and annual reporting is too infrequent, so the policy is inadequate.

❌ Why the other options are wrong: Front-running can be profitable at any trade size, so a large-trade threshold does not control the conflict; reporting holdings once a year detects problems too late and is no substitute for pre-clearance and blackout periods around client trades.

📋 Objective: 5.9 (Application of the Code and Standards: Level III)

✅ Correct answer: It signals to clients a firm-wide commitment to putting their interests first

📌 Explanation: The Asset Manager Code sets out the ethical and professional responsibilities of firms that manage assets for clients. Adopting it firm-wide shows clients and prospects that the manager has committed to placing client interests first and to honest, transparent practices, which can strengthen trust and help the firm stand out.

❌ Why the other options are wrong: The Code supplements applicable law and does not override it, so Egyptian securities law still applies in full; adopting the Code does not verify performance, because GIPS verification is a separate review carried out by an independent verifier.

📋 Objective: 5.10 (Asset Manager Code of Professional Conduct)

✅ Correct answer: She breached the Code, which applies to her unpaid treasurer role

📌 Explanation: The Code of Ethics requires members to act with integrity, competence and diligence and to place clients' interests above their own in their professional activities, paid or unpaid. Managing the charity's reserve is professional investment activity, and investing it with a relative's firm without disclosing the conflict breaches those obligations.

❌ Why the other options are wrong: The Code and Standards apply to members in their professional capacities, including unpaid roles, so the absence of pay is irrelevant; the charity need not be an employer's client, because Farouk herself owes it loyalty and disclosure as its treasurer.

📋 Objective: 5.1 (Code of Ethics and Standards of Professional Conduct)

✅ Correct answer: He violated it by presenting others' work as his own

📌 Explanation: Standard I(C) Misrepresentation prohibits plagiarism: copying or using material prepared by others without acknowledging the source. Mansour reproduced a broker's charts and analysis as if they were his own work, so he violated the Standard; he should have cited the broker or produced his own analysis.

❌ Why the other options are wrong: Public availability does not remove the need to credit the author, because readers would still believe the analysis was his; reformatting borrowed charts does not make them original work, so the source must still be acknowledged.

📋 Objective: 5.2 (Guidance for Standard I: Professionalism)

Weakness: the optimiser is highly sensitive to its inputs. A 0.4 percentage point change in one expected return moved real estate from 12% to 58% and removed global equities, an unstable and concentrated corner solution. Because of estimation error, the optimiser acts as an error maximiser, overweighting assets whose returns happen to be overestimated.

Remedy: use reverse optimisation and the Black–Litterman model: start from market-capitalisation weights, infer the returns they imply and adjust them only for views held with confidence. This produces more diversified and stable allocations. (Resampled optimisation or sensible weight constraints are alternatives.)

📋 Objective: 1.4 (Principles of asset allocation)

Risk-adjusted expected return U = E(R) − 0.5 × λ × σ², with λ = 4.

Allocation P: 8.6% − 0.5 × 4 × 0.09² = 8.6% − 1.62% = 6.98%.

Allocation Q: 10.4% − 0.5 × 4 × 0.14² = 10.4% − 3.92% = 6.48%.

Allocation R: 7.0% − 0.5 × 4 × 0.06² = 7.0% − 0.72% = 6.28%.

Allocation P is most appropriate: it has the highest certainty-equivalent return. Q's extra 1.8 points of expected return do not compensate for its much higher variance, and R gives up too much return.

📋 Objective: 1.4 (Principles of asset allocation)

It is not appropriate: Moroccan equities should be underweighted.

On the family's economic balance sheet, the argan business (MAD 1200 million) is 60% of total wealth of MAD 2000 million and is tied to the Moroccan economy. Adding the portfolio's 45% in Moroccan equities (MAD 360 million) means about 78% of the family's wealth depends on Morocco.

Recommendation: reduce Moroccan equities and real estate and raise global equities, so the financial portfolio diversifies the business exposure rather than adding to it. Because the business already earns EUR export revenue, non-European global assets diversify further.

📋 Objective: 1.4 (Principles of asset allocation)

✅ Correct answer: 5.3%

📌 Explanation: Trend growth = growth in labour input + growth in labour productivity. Labour input grows 2.8% − 0.2% = 2.6%, because the falling participation rate offsets part of labour force growth. Productivity grows by 1.5% total factor productivity + 0.4 × 3.0% capital deepening = 2.7%. Trend growth = 2.6% + 2.7% = 5.3%.

❌ Why the other options are wrong: 4.1% leaves out the 1.2% contribution from capital deepening and counts only total factor productivity; 5.5% uses labour force growth of 2.8% without deducting the 0.2% decline in the participation rate.

📋 Objective: 1.1 (Capital market expectations: framework and macro considerations)

✅ Correct answer: 6.75%

📌 Explanation: Taylor rule rate = neutral real rate + inflation forecast + 0.5 × (inflation forecast − target) + 0.5 × output gap = 1.5% + 4.5% + 0.5 × 0.5% + 0.5 × 1.0% = 6.75%. Because 6.75% is above the current 6.00%, the rule suggests policy is loose and short-term rates are likely to rise.

❌ Why the other options are wrong: 6.25% leaves out the positive output gap term; 5.75% subtracts the output gap term instead of adding it, treating an economy operating above potential as if it had spare capacity.

📋 Objective: 1.1 (Capital market expectations: framework and macro considerations)

✅ Correct answer: 11.20%

📌 Explanation: Observed return = (1 − λ) × true return + λ × last year's observed return. Solving for the true return: (9.6% − 0.4 × 7.2%) ÷ (1 − 0.4) = (9.6% − 2.88%) ÷ 0.6 = 11.20%. Unsmoothed returns are more volatile than appraisal returns, so using them avoids understating real estate risk in the forecast.

❌ Why the other options are wrong: 6.72% removes the lagged term but does not divide by 1 − λ, so it understates the true return; 16.80% divides by the smoothing parameter of 0.4 instead of by 0.6, which overstates it.

📋 Objective: 1.1 (Capital market expectations: framework and macro considerations)

✅ Correct answer: Shorten bond duration and trim exposure to cyclical equities

📌 Explanation: In a late expansion, inflation and capacity use are high and the central bank is raising short-term rates, which flattens the curve and pushes bond yields up. Shortening duration limits losses as yields rise, and trimming cyclical equities reduces exposure to slowing earnings growth and rising volatility as the cycle matures.

❌ Why the other options are wrong: Lengthening duration suits the later slowdown, once short rates have peaked and yields are expected to fall; high-beta cyclical shares lead in the early recovery phase, not when tightening policy is about to slow growth.

📋 Objective: 1.1 (Capital market expectations: framework and macro considerations)

Reject the proposal: the government bonds are the better diversifier of equity risk.

In the three worst equity quarters the fund of funds lost 8.5% on average, while the bonds gained 2.1% as investors sought a flight to quality. A low average correlation hides the fact that correlation rises and hedge funds show equity beta in crises, just when protection is needed.

The bonds are also liquid and cheap, whereas the fund of funds has quarterly redemption with 90 days' notice and two layers of fees, which would reduce liquidity when grants and capital calls must be paid.

📋 Objective: 2.3 (Asset allocation to alternative investments)

• East African growth buyout fund: capital growth.
• Ugandan farmland and timber fund: inflation protection (real assets).
• Global macro hedge fund: risk diversifier.

Grouping by role is a risk-based view: it shows the economic factor each holding adds, so the trustees can see overlap (private equity behaves like public equity) and plan the total exposure to equity, inflation and diversifying risks, instead of treating every alternative as one diversifying bucket.

📋 Objective: 2.3 (Asset allocation to alternative investments)

Grants = 5% × 420 = UGX 21.0 billion.

Capital calls = 40% × 55 = UGX 22.0 billion.

Distributions = UGX 12.5 billion.

Net cash need = 21.0 + 22.0 − 12.5 = UGX 30.5 billion.

Cash and treasury bills of UGX 26 billion leave a shortfall of UGX 4.5 billion.

Action: slow the commitment pacing of new private equity funds (or sell part of a fund interest on the secondary market, or arrange a standby credit line), so capital calls and grants can be met without forced sales of bonds and equities at poor prices. The trustee's switch into a less liquid fund of funds would make the gap worse.

📋 Objective: 2.3 (Asset allocation to alternative investments)

✅ Correct answer: Large-cap value

📌 Explanation: Size is judged by market capitalisation relative to the market: KES 180 billion places Lutaro among the ten largest listed firms. Its price-to-book ratio of 1.1 against 2.0 for the market, a dividend yield of 7.5% against 5.0% and below-market earnings growth are value characteristics, so it is a large-cap value stock.

❌ Why the other options are wrong: A growth classification would need above-market earnings growth and valuation multiples, the opposite of Exhibit 1; a small-cap label ignores that a KES 180 billion market capitalisation ranks among the largest companies on the exchange.

📋 Objective: 2.1 (Overview of equity portfolio management)

✅ Correct answer: KES 2.52 million

📌 Explanation: Gross fee = KES 1,800 million × 0.60% × 4/12 = KES 3.60 million. The lending agent keeps 30%, so the fund earns 3.60 × 0.70 = KES 2.52 million. Because collateral is government securities rather than cash, there is no reinvestment income or rebate to include.

❌ Why the other options are wrong: KES 3.60 million is the gross fee before the agent's 30% share is deducted; KES 7.56 million applies the fund's 70% share to a full year's fee instead of scaling it to the four-month loan.

📋 Objective: 2.1 (Overview of equity portfolio management)

✅ Correct answer: Other shareholders gain from success without sharing its costs

📌 Explanation: Shareholder engagement can improve governance and value, but its costs, such as analyst time, legal advice and vote campaigns, fall on the engaging fund, while the benefits are shared by the whole shareholder base. This free-rider problem means Mwangi must judge whether the fund's 3% stake justifies the expense.

❌ Why the other options are wrong: Active managers are among the most common engagers, so no such prohibition exists; engagement does not by itself breach insider dealing rules, although the firm must control any material nonpublic information it receives during meetings.

📋 Objective: 2.1 (Overview of equity portfolio management)

✅ Correct answer: KES 0.30

📌 Explanation: Midpoint = (44.80 + 45.20) ÷ 2 = KES 45.00. Effective spread for a buy = 2 × (execution price − midpoint) = 2 × (45.15 − 45.00) = KES 0.30, about 0.67% of the midpoint. It is smaller than the quoted spread because the order was filled inside the quotes.

❌ Why the other options are wrong: KES 0.15 is the distance from the midpoint without doubling it, which is only half the effective spread; KES 0.40 is the quoted spread, which ignores the price improvement the order received.

📋 Objective: 2.6 (Trading costs and electronic markets)

Discount rate = 17% + 3% = 20%; earnings grow 12% a year for six years.

PV of earnings by year: 150 ÷ 1.20 = 125.00; 168.00 ÷ 1.20² = 116.67; 188.16 ÷ 1.20³ = 108.89; 210.74 ÷ 1.20⁴ = 101.63; 236.03 ÷ 1.20⁵ = 94.85; 264.35 ÷ 1.20⁶ = 88.53.

Human capital = NGN 635.6 million.

Economic net worth = financial capital 2400 + home 600 + human capital 635.6 − mortgage 250 = NGN 3385.6 million.

The 3% occupational risk premium is added for earnings risk: his bonus depends on the insurer's profits and the financial sector, so riskier earnings are worth less than a bond-like income stream.

📋 Objective: 2.4 (Overview of private wealth management)

Ability: above average. His economic net worth of NGN 3385.6 million is large relative to his spending, which his income covers, and the education costs are modest relative to his wealth.

However, his wealth is concentrated: his human capital is equity-like and correlated with the Nigerian financial sector, and NGN 900 million (37.5% of financial capital) is in his employer's shares, so a downturn at the insurer would hit his job, bonus and portfolio at once.

Recommendations: (1) sell down the Ambeli Werani shares in stages to reduce the concentration; (2) reinvest in assets with low correlation to his human capital, such as global equities and government bonds, and do not add Nigerian insurers or banks.

📋 Objective: 2.4 (Overview of private wealth management)

✅ Correct answer: Enhanced indexing matching the benchmark's primary risk factors

📌 Explanation: An enhanced indexing mandate keeps the portfolio's primary risk factors, such as duration and sector weights, close to the benchmark while allowing small tilts to add modest value. A tracking error limit of 0.6%, duration within 0.3 years of the index and small corporate holdings match that description.

❌ Why the other options are wrong: Pure indexing would not permit duration tilts or off-index corporate bonds and would target tracking error close to zero; active total-return management allows much larger mismatches, such as wide duration bets, than a 0.6% tracking error limit permits.

📋 Objective: 2.2 (Overview of fixed-income portfolio management)

✅ Correct answer: −5.69%

📌 Explanation: Percentage price change ≈ −modified duration × Δy + ½ × convexity × (Δy)² = −7.4 × 0.008 + 0.5 × 72 × 0.008² = −5.92% + 0.23% = −5.69%. Positive convexity cushions the loss when yields rise.

❌ Why the other options are wrong: −5.92% uses duration alone and omits the convexity adjustment; −6.15% subtracts the convexity term, treating positive convexity as if it added to the loss.

📋 Objective: 2.2 (Overview of fixed-income portfolio management)

✅ Correct answer: 7.5%

📌 Explanation: Expected return ≈ yield income + rolldown return − duration × expected change in yields − expected credit losses = 9.8% + 0.5% − 6.5 × 0.40% − 0.2% = 9.8% + 0.5% − 2.6% − 0.2% = 7.5%. The currency term is zero because the fund holds only ZAR assets.

❌ Why the other options are wrong: 7.0% leaves out the 0.5% rolldown return; 10.1% ignores the 2.6% price loss expected from the 40 bp rise in yields.

📋 Objective: 2.2 (Overview of fixed-income portfolio management)

✅ Correct answer: 10.0%

📌 Explanation: Leveraged return = return on the bond holdings + (borrowed funds ÷ equity) × (return on holdings − borrowing rate) = 9.2% + (300 ÷ 600) × (9.2% − 7.6%) = 9.2% + 0.8% = 10.0%. Leverage added return only because the bonds earned more than the 7.6% repo rate.

❌ Why the other options are wrong: 11.6% applies the total-assets-to-equity ratio of 1.5 to the spread instead of the borrowing ratio of 0.5; 13.8% grosses up the 9.2% return by 1.5 and ignores the cost of the repo financing.

📋 Objective: 2.2 (Overview of fixed-income portfolio management)

Active Share = ½ × Σ|fund weight − benchmark weight| = ½ × (20 + 0 + 15 + 15 + 10 + 30) = ½ × 90 = 45%.

The fund resembles a factor bettor (sector rotator): an Active Share of 45% is modest, yet active risk is high at 9.0%.

Its holdings overlap heavily with the index, so stock-specific bets are limited; the high active risk comes from large systematic bets on sectors and factors. A concentrated stock picker would combine high Active Share with high active risk, and a closet indexer would be low on both.

📋 Objective: 6.3 (Active equity investing: portfolio construction)

Position = 4% × 6000 = GHS 240 million.

Maximum daily sale = 20% × 2.5 = GHS 0.5 million.

Days to exit = 240 ÷ 0.5 = 480 trading days, about two years, double the 240 days needed at GHS 3000 million.

Recommendation: soft close the fund to new investors. Further asset growth forces ever larger positions in thinly traded African shares, raising market impact and trading costs, or pushes the team into larger, index-like companies, which dilutes the strategy and its expected alpha.

📋 Objective: 6.3 (Active equity investing: portfolio construction)

✅ Correct answer: A tilt toward smaller companies and higher rebalancing turnover

📌 Explanation: An equal-weighted index gives each of the 180 shares the same weight, so smaller companies receive far more weight than in a cap-weighted index, creating a size tilt and a contrarian rebalancing effect. Weights must be reset as prices move, which raises turnover and trading costs, especially in thinly traded Egyptian shares.

❌ Why the other options are wrong: Moving away from cap weights increases tracking error against a cap-weighted policy benchmark rather than lowering it; it is cap weighting, not equal weighting, whose weights adjust with prices and so need little rebalancing.

📋 Objective: 6.1 (Index-based equity strategies)

✅ Correct answer: Stratified sampling of liquid shares across the index's sectors

📌 Explanation: With 180 constituents, many of them thinly traded, full replication would be costly and hard to execute. Stratified sampling divides the index into cells, such as sectors and size bands, and holds a smaller set of liquid shares that matches each cell's weight, keeping tracking error low at a lower trading cost.

❌ Why the other options are wrong: Full replication of illiquid constituents raises trading costs and market impact, which can widen tracking error; a single-counterparty swap adds counterparty and liquidity risk in a thin local derivatives market and is not the usual solution.

📋 Objective: 6.1 (Index-based equity strategies)

✅ Correct answer: 0.47%

📌 Explanation: Tracking error is the standard deviation of active returns. The mean active return is 0.22%; the squared deviations sum to 0.0324 + 0.2704 + 0.4624 + 0.1024 + 0.0004 = 0.868; dividing by n − 1 = 4 gives 0.217, whose square root is 0.47%.

❌ Why the other options are wrong: 0.22% is the average active return, which measures tracking difference rather than its variability; 0.42% divides the squared deviations by 5 instead of 4, giving the population rather than the sample measure.

📋 Objective: 6.1 (Index-based equity strategies)

✅ Correct answer: 23.67%

📌 Explanation: Account return = index return + cash drag − management fee + securities lending income. Cash drag = 3% × (22.0% − 24.0%) = −0.06%. Account return = 24.0% − 0.06% − 0.35% + 0.08% = 23.67%. The cash holding cost return because the index outperformed cash this year.

❌ Why the other options are wrong: 23.59% omits the 0.08% securities lending income; 23.79% adds the cash effect instead of subtracting it, as if cash had beaten the index.

📋 Objective: 6.1 (Index-based equity strategies)

Present value = 600 ÷ 1.032^7 = MAD 481.28 million, so each portfolio's market value of 482 covers it.

Choose Portfolio X. Its Macaulay duration of 7.0 matches the seven-year horizon, and its convexity of 55 is just above the liability's 52.6, which minimises cash-flow dispersion and so the structural risk from non-parallel shifts and twists in the yield curve.

Portfolio Y matches duration but its convexity of 96 (a barbell) means wide dispersion and more exposure to curve reshaping. Portfolio Z's duration of 5.6 is too short, leaving reinvestment risk if yields fall.

📋 Objective: 6.4 (Liability-driven and index-based strategies)

Required present value = 1000 ÷ 1.034^4 = MAD 874.82 million.

Cushion = 900 − 874.82 = MAD 25.18 million.

If the trade loses 26 million, the portfolio falls to MAD 874 million, below the 874.82 million needed, so the cushion is exhausted. The manager must stop active management and immunise the remaining portfolio at once, matching its duration to the four-year horizon to lock in a value as close as possible to the MAD 1000 million floor. A loss of this size would breach the trigger point, so the trade is too large for the cushion.

📋 Objective: 6.4 (Liability-driven and index-based strategies)

✅ Correct answer: Quantitative, because systematic factor rules drive a broad, diversified portfolio

📌 Explanation: Quantitative managers apply systematic rules to large universes, using factors such as value, momentum and quality, and hold many positions with risk controlled by a model. Ambeli Tesoro screens 900 shares, rebalances on a schedule and holds 250 names with little company contact, which is a quantitative process.

❌ Why the other options are wrong: Value and quality measures are used by managers of both styles, so they do not make a process fundamental; monthly rebalancing of 250 names is a model output, not the deep company-by-company research of a bottom-up fundamental manager.

📋 Objective: 6.2 (Active equity investing: strategies)

✅ Correct answer: z = +2.50; sell Kisora, buy Rutaga

📌 Explanation: z = (current ratio − mean ratio) ÷ standard deviation = (2.60 − 2.40) ÷ 0.08 = +2.50. The ratio is far above its mean, so Kisora is expensive relative to Rutaga: the strategy sells Kisora and buys Rutaga, expecting the ratio to revert to its mean.

❌ Why the other options are wrong: +0.25 divides the 0.20 gap by 0.80 rather than 0.08 and so finds no signal; buying Kisora and selling Rutaga bets on the ratio widening further, the reverse of a mean-reversion trade.

📋 Objective: 6.2 (Active equity investing: strategies)

✅ Correct answer: 0.54

📌 Explanation: Fundamental law: information ratio ≈ transfer coefficient × information coefficient × √breadth = 0.6 × 0.06 × √225 = 0.6 × 0.06 × 15 = 0.54. Breadth is the number of independent active decisions a year, not the number of shares in the universe.

❌ Why the other options are wrong: 0.72 uses the 400-share universe as breadth instead of the 225 independent decisions; 0.90 omits the transfer coefficient of 0.6, which captures how the long-only constraint dilutes the manager's insights.

📋 Objective: 6.2 (Active equity investing: strategies)

✅ Correct answer: −0.27, value

📌 Explanation: Weighted score = 0.40 × (−0.90) + 0.30 × (−0.30) + 0.20 × 0.50 + 0.10 × 0.80 = −0.36 − 0.09 + 0.10 + 0.08 = −0.27. That is below the −0.25 threshold, so the portfolio is classified as value.

❌ Why the other options are wrong: +0.03 is the simple average of the four scores and ignores the portfolio weights; +0.27 reverses the sign of the weighted result, which would wrongly label a value-heavy portfolio as growth.

📋 Objective: 6.2 (Active equity investing: strategies)

After one year the bond has four years left and is priced off the 14.2% four-year yield instead of 15.0%.

Rolldown gain ≈ (15.0% − 14.2%) × 3.3 = 2.64%.

Expected return (rolling yield) ≈ 15.0% + 2.64% = 17.64%.

Excess over the 12.5% treasury bill = 17.64 − 12.5 = 5.14 percentage points.

The bond is more attractive: with an upward-sloping curve that is expected to stay stable, buying and holding the bond earns carry plus rolldown well above the bill rate. The risk is that yields rise by more than the forward curve implies, which would reduce or erase this advantage.

📋 Objective: 6.5 (Yield curve strategies)

Recommend a butterfly: sell part of the five-year holding (the body) and use the proceeds to buy a barbell of two-year and ten-year bonds (the wings), sized so that the money duration bought equals the money duration sold.

If five-year yields rise relative to two-year and ten-year yields, the body falls in price while the wings hold their value, so the position gains.

Because money duration is matched, a parallel shift in yields has little effect. The barbell also has more convexity than the bullet (4 and 45 against 18 for the body), which adds return if rates become more volatile.

📋 Objective: 6.5 (Yield curve strategies)

✅ Correct answer: KES 9.62

📌 Explanation: Put–call parity: put = call − share price + present value of the strike. PV of the strike = 180 ÷ 1.10^0.5 = KES 171.62. Put = 18.00 − 180.00 + 171.62 = KES 9.62. A put priced differently would let Chebet create a synthetic put from the call, shares and borrowing more cheaply than the traded one.

❌ Why the other options are wrong: KES 1.64 discounts the strike for a full year instead of six months; KES 18.00 uses the undiscounted strike, which sets the put equal to the call for an at-the-money option.

📋 Objective: 4.1 (Options strategies)

✅ Correct answer: KES 173.50

📌 Explanation: A covered call is long the shares at KES 180.00 and short a call that brings in KES 6.50. The premium cushions losses, so breakeven = 180.00 − 6.50 = KES 173.50. The maximum gain is 200 − 180 + 6.50 = KES 26.50 per share, earned if the share price is at or above 200 at expiry.

❌ Why the other options are wrong: KES 186.50 adds the premium to the share price, as if the call had been bought rather than written; KES 193.50 deducts the premium from the 200 strike instead of from the 180 price paid for the shares.

📋 Objective: 4.1 (Options strategies)

✅ Correct answer: 330,000

📌 Explanation: Each written call has a delta of −0.35 per share. The short calls' delta = −2,000 × 100 × 0.35 = −70,000 share equivalents. Net delta = 400,000 − 70,000 = 330,000, so for small price moves the position behaves like a holding of 330,000 shares.

❌ Why the other options are wrong: 70,000 is only the delta of the written calls, not of the combined position; 470,000 adds the calls' delta as if they had been bought rather than written.

📋 Objective: 4.1 (Options strategies)

✅ Correct answer: KES 8.50

📌 Explanation: The bull call spread costs 18.00 − 6.50 = KES 11.50 net. Its payoff is capped at the strike difference of 200 − 180 = KES 20.00, so the maximum profit is 20.00 − 11.50 = KES 8.50, earned when the share price is at or above 200 at expiry; the breakeven is KES 191.50.

❌ Why the other options are wrong: KES 20.00 is the maximum payoff before deducting the net premium paid; KES 31.50 adds the net premium to the strike difference instead of subtracting it.

📋 Objective: 4.1 (Options strategies)

Excess spread return ≈ spread × t − change in spread × spread duration − t × (probability of default × loss given default), with t = 1.

Dasoro: 4.50% − 0.50% × 3.5 − 2.0% × 0.60 = 4.50% − 1.75% − 1.20% = 1.55%.

Ferani: 3.20% − (−0.20%) × 5.0 − 0.8% × 0.50 = 3.20% + 1.00% − 0.40% = 3.80%.

Recommend Ferani. Despite its lower starting spread, its expected tightening (helped by deleveraging and positive rating watch) and lower expected credit loss give the higher excess return. Dasoro's wide spread does not compensate for expected widening and high default losses.

📋 Objective: 6.6 (Fixed-income active management: credit strategies)

Buy protection on Ambeli Hesoro Bank Plc. A protection buyer is short credit risk and gains when the spread widens, which offsets losses on the Eurobonds without selling them.

Upfront payment = (CDS spread − coupon) × effective spread duration × notional = (5.60% − 5.00%) × 4.2 × 20000000 = 2.52% × 20000000 = USD 504000, paid by the protection buyer because the spread is above the coupon.

If the spread widens to 7.00%: gain ≈ (7.00% − 5.60%) × 4.2 × 20000000 = 5.88% × 20000000 = USD 1176000.

📋 Objective: 6.6 (Fixed-income active management: credit strategies)

✅ Correct answer: ZAR 4,941 million

📌 Explanation: Swap notional = (target duration − portfolio duration) ÷ swap duration × portfolio value = (4.0 − 6.8) ÷ (−3.4) × 6,000 = ZAR 4,941 million. A pay-fixed swap has a duration of about 0.25 − 3.65 = −3.4, so adding it lowers the portfolio's duration.

❌ Why the other options are wrong: ZAR 4,603 million uses the fixed leg's duration of 3.65 and ignores the offsetting 0.25 of the floating leg; ZAR 4,200 million divides by the target duration of 4.0 instead of by the swap's duration.

📋 Objective: 4.2 (Swaps, forwards, and futures strategies)

✅ Correct answer: Buy USD 40 million spot and sell it three months forward

📌 Explanation: The expiring forward obliges the bank to deliver USD 40 million that it has not yet received. Buying USD 40 million spot settles the maturing contract, and selling USD 40 million three months forward re-establishes the short-USD hedge until the delayed repayment arrives; together the two legs form one FX swap.

❌ Why the other options are wrong: Selling spot and buying forward reverses both legs, leaving the maturing contract unsettled and the bank long USD in three months; selling both spot and forward doubles the short-USD exposure instead of rolling the existing hedge.

📋 Objective: 4.2 (Swaps, forwards, and futures strategies)

✅ Correct answer: ZAR 6.60 million

📌 Explanation: Variance notional = vega notional ÷ (2 × strike) = 1,500,000 ÷ 40 = 37,500. Settlement = variance notional × (realised volatility² − strike²) = 37,500 × (576 − 400) = ZAR 6.60 million, received by the desk as the long side because realised volatility exceeded the strike.

❌ Why the other options are wrong: ZAR 6.00 million uses the vega approximation of 1,500,000 × (24 − 20), which ignores the convexity of a variance payoff; ZAR 13.20 million divides the vega notional by the strike without the factor of 2.

📋 Objective: 4.2 (Swaps, forwards, and futures strategies)

✅ Correct answer: 60%

📌 Explanation: Implied probability of a cut = (current rate − futures-implied rate) ÷ size of the move = (7.00% − 6.85%) ÷ 0.25% = 60%. The futures price reflects a 60% chance of a 25 bp cut and a 40% chance that the rate is held.

❌ Why the other options are wrong: 40% is the implied probability that the rate is held, not that it is cut; 30% divides the 15 bp gap by a 50 bp move rather than the 25 bp move in question.

📋 Objective: 4.2 (Swaps, forwards, and futures strategies)

Paper portfolio gain = 200000 × (12.60 − 12.00) = GHS 120000.

Actual gain = 150000 × (12.60 − 12.25) − 6000 = 52500 − 6000 = GHS 46500.

Implementation shortfall = 120000 − 46500 = GHS 73500, or 73500 ÷ (200000 × 12.00) = 3.06% = 306 bps.

Components: delay = 150000 × (12.10 − 12.00) = 15000; execution = 150000 × (12.25 − 12.10) = 22500; opportunity = 50000 × (12.60 − 12.00) = 30000; fees = 6000; total 73500.

The largest component is the opportunity cost of the 50000 unfilled shares. Working an order with short-lived alpha passively with limit orders in a rising market was too slow: a more aggressive, arrival-price approach was needed.

📋 Objective: 6.7 (Trade strategy and execution)

Recommend a schedule-based algorithm, such as a participation (percentage-of-volume) or VWAP algorithm spread over several days, measured against the interval VWAP benchmark.

The trade is a rebalancing with no new information, so there is no alpha decay and low urgency: the family accepts completion within two weeks.

The order is about 62% of average daily volume in a thinly traded stock whose spreads widen on large orders, so trading quickly would cause heavy market impact. Spreading it at a modest participation rate over the window keeps impact low and lets the order trade in line with market volume.

📋 Objective: 6.7 (Trade strategy and execution)

✅ Correct answer: Macro attribution of the returns from the owner's allocation decisions

📌 Explanation: Macro attribution measures the effect of the asset owner's own decisions, such as the strategic split between equities and bonds, against policy benchmarks and a risk-free asset. Fahmy sets the 60/40 allocation himself, so evaluating that choice needs macro attribution, whereas micro attribution analyses the manager's decisions within the equity mandate.

❌ Why the other options are wrong: Micro attribution explains the manager's sector and security choices, not the owner's allocation; fixed-income attribution decomposes a bond manager's duration, curve and spread decisions and says nothing about the weight given to equities.

📋 Objective: 3.1 (Portfolio performance evaluation)

✅ Correct answer: 0.90%

📌 Explanation: Selection effect = benchmark sector weight × (portfolio sector return − benchmark sector return) = 0.30 × (31% − 28%) = 0.90%. Using the benchmark weight isolates stock-picking skill within banks from the decision to overweight the sector.

❌ Why the other options are wrong: 0.60% is the allocation effect, (0.40 − 0.30) × (28% − 22%), which rewards the overweight in banks rather than stock selection; 1.20% multiplies by the portfolio weight of 40%, combining selection with the interaction effect.

📋 Objective: 3.1 (Portfolio performance evaluation)

✅ Correct answer: It does not reflect the manager's small and mid-cap universe

📌 Explanation: A valid benchmark should be representative of the manager's style and investable universe, as well as specified in advance, investable and measurable. A cap-weighted index of the 30 largest shares does not reflect a manager with about 70% in small and mid-sized companies outside it, so the benchmark is misspecified and the excess return largely reflects a size bet.

❌ Why the other options are wrong: The mandate set the benchmark before the year began, so it was specified in advance; calculation by an independent provider supports measurability and is a strength of the benchmark, not a weakness.

📋 Objective: 3.1 (Portfolio performance evaluation)

✅ Correct answer: 0.75

📌 Explanation: Sortino ratio = (portfolio return − minimum acceptable return) ÷ downside deviation = (26.0% − 20.0%) ÷ 8.0% = 0.75. It penalises only returns below the client's 20.0% target, which suits a client who cares mainly about shortfalls.

❌ Why the other options are wrong: 0.50 divides by the total standard deviation of 12.0%, which treats upside and downside variability alike; 3.25 divides the total return by downside deviation without deducting the 20.0% target.

📋 Objective: 3.1 (Portfolio performance evaluation)

Euro-area equities: (1 + 6.0%) × (1 + 1.5%) − 1 = 1.06 × 1.015 − 1 = 7.59%.

USD bonds: (1 + 4.0%) × (1 − 3.0%) − 1 = 1.04 × 0.97 − 1 = 0.88%.

Foreign sleeve: 0.70 × 7.59% + 0.30 × 0.88% = 5.31% + 0.26% = 5.58%.

The EUR's appreciation against the MAD added to the equities' local return, while the USD's depreciation removed most of the bonds' local return.

📋 Objective: 4.3 (Currency management: an introduction)

Position the USD bonds close to passive hedging, fully hedged (a hedge ratio near 100%) back to MAD.

Currency risk dominates the risk of the bonds: USD/MAD volatility is about twice the bonds' local volatility, and last year the USD's 3.0% fall wiped out most of the 4.0% local return. The trustees are conservative, review results quarterly and see the bonds as the safe asset, and grants are paid in MAD, all of which favour removing currency risk from this part of the portfolio rather than taking active currency views.

📋 Objective: 4.3 (Currency management: an introduction)

Current hedge ratio = 20 ÷ 46 = 43.5%, below the 50% policy because the equities have risen from EUR 40 million to EUR 46 million.

Required hedge = 50% × 46 = EUR 23 million.

Sell an additional EUR 3 million forward against MAD (23 − 20), for example in a contract matching the two-month maturity of the existing forward, to restore the 50% ratio.

📋 Objective: 4.3 (Currency management: an introduction)