Asset Allocation Strategies - Series 66

  1. An adviser is establishing strategic asset allocations for two clients, both aged 45 with $400,000 in invested assets and similar stated risk tolerance. Client W is a tenured professor whose defined-benefit pension will cover basic retirement expenses. Client X is a real estate agent whose income depends on commissions and who has no pension. The adviser is using an integrated asset allocation approach that treats human capital as part of each client's total economic balance sheet.
    Which allocation adjustment is most consistent with this approach?
    Answer: Give Client W a higher equity allocation than Client X, because her stable salary and pension are bond-like sources of wealth that increase her capacity to bear portfolio risk. Integrated asset allocation treats human capital as part of the client's total economic balance sheet. Stable sources of wealth—such as Client W's salary from a tenured position and defined-benefit pension—are bond-like, so the financial portfolio can hold more equity without making her total economic portfolio too aggressive. Client X's commission-dependent income is riskier and more equity-like, so his financial portfolio should be more conservative. The same-allocation option ignores human capital, the option giving Client X more equity would add financial risk when his human capital is already risky, and the option making both clients more aggressive treats Client X's variable human capital as though it were stable.
  2. An adviser is establishing a $750,000 total portfolio for a client in a 35% federal and state tax bracket. The client has $500,000 in a taxable brokerage account and $250,000 in a traditional IRA. The strategic allocation is 40% fixed income and 60% equity. Taxable bond interest will be taxed annually at ordinary rates; equity returns will consist mostly of qualified dividends and long-term capital gains. No municipal bonds are being considered.
    Which account placement is most tax-efficient while maintaining the overall 40/60 target?
    Answer: Hold all $250,000 of the IRA in bonds, with the remaining $50,000 of bonds and $450,000 of equities in the taxable account. Tax-efficient asset placement puts assets taxed annually at ordinary income rates, such as taxable bonds, into tax-deferred accounts first. Equity returns receive preferential qualified dividend and long-term capital gain treatment and can also benefit from tax deferral in a taxable account. The bond target is $300,000, so the adviser should fill the $250,000 IRA entirely with bonds and place only the unavoidable $50,000 of bonds in the taxable account. The option that puts all bonds in taxable and equities in the IRA is the least efficient; the mirror allocation and the split-bond allocation fail to concentrate the most tax-inefficient assets inside the IRA.
  3. A client will retire in one year with a $1,500,000 portfolio and plans to spend $60,000 per year for at least 25 years. The adviser proposes a bucketing strategy: a cash bucket covers the first two years of spending, a bond bucket covers years three through eight, and an equity bucket is reserved for later years. Withdrawals from the cash bucket are replenished by selling from the bond bucket, so equity sales are not forced immediately after market declines.
    Which statement about this strategy is correct?
    Answer: The bucket strategy reduces sequence-of-returns risk by funding early retirement from cash and bonds while giving the equity bucket time to recover. Bucketing is a time-horizon-based asset allocation strategy: near-term spending is funded from low-volatility cash and bonds, while longer-term assets are invested for growth. This reduces sequence-of-returns risk by avoiding forced equity sales after a market decline. Bucketing does not avoid required minimum distributions, it is not a tactical strategy driven by capital market forecasts, and the equity bucket remains subject to market loss when it is eventually spent.
  4. A portfolio's strategic target is 55% equities, 35% bonds, and 10% alternatives. The investment policy statement requires rebalancing whenever an asset class is more than five percentage points away from its target weight or more than 25% above or below its target weight, whichever occurs first. Current market values are $121,000 in equities, $63,000 in bonds, and $16,000 in alternatives.
    Based only on these facts, which action is required?
    Answer: Sell $11,000 of equities and use $7,000 to buy bonds and $4,000 to buy alternatives, restoring the portfolio to its 55/35/10 targets. The total portfolio value is $200,000, so the actual weights are 60.5% equities, 31.5% bonds, and 8.0% alternatives. The equity weight exceeds its 55% target by 5.5 percentage points, so the five-point absolute band is breached even though no asset class is more than 25% away on a relative basis. Target amounts are $110,000 of equities, $70,000 of bonds, and $20,000 of alternatives. The required trades are therefore to sell $11,000 of equities, buy $7,000 of bonds, and buy $4,000 of alternatives.
  5. A 62-year-old client has a $2,000,000 portfolio and plans to withdraw $90,000 in the first year, adjusted for inflation, over a 35-year planning horizon. She wants to avoid outliving the portfolio, and she also wants the portfolio to keep pace with inflation. Her planning rule is that the selected allocation must have at least a 75% probability of success; among allocations meeting that requirement, she prefers the highest projected median terminal value. A Monte Carlo simulation produced these results: 80% equity/20% bonds: 54% success, $2.8 million median terminal value. 60% equity/40% bonds: 76% success, $2.1 million median terminal value. 40% equity/60% bonds: 88% success, $1.5 million median terminal value. 20% equity/80% bonds: 91% success, $1.0 million median terminal value.
    Which allocation is most consistent with the client's stated planning rule?
    Answer: 60/40, because it is the most growth-oriented allocation that still meets the client's 75% minimum success threshold. Monte Carlo simulation helps evaluate whether a proposed asset allocation can support a spending stream across many possible market paths. The 80/20 allocation has only a 54% success rate, below the client's 75% floor. Among the remaining allocations, 60/40 has the highest median terminal value at $2.1 million, so it satisfies the client's stated rule. The 40/60 and 20/80 allocations have higher success rates but lower median terminal values, and the client's rule prioritizes the highest terminal value once the 75% success threshold is met.
  6. Which of the following statements comparing buy-and-hold and constant-weighting asset allocation strategies is true?
    Answer: Constant-weighting tends to outperform buy-and-hold in a fluctuating, mean-reverting market and to underperform in a trending market, since it sells winners and buys laggards. Constant-weighting (constant-mix) asset allocation rebalances to a fixed target allocation, selling assets that have appreciated relative to their targets and buying assets that have lagged. That behavior tends to improve performance versus buy-and-hold in a fluctuating, mean-reverting market, but it hurts in a sustained trending market because the strategy sells winners before the trend runs its course. The statement that constant-weighting outperforms in trending markets is therefore incorrect. The statement that buy-and-hold outperforms in all market environments is also incorrect: buy-and-hold may avoid rebalancing costs and defer capital gains, but it can lag constant-weighting in oscillating markets. Finally, constant-weighting does not generally have lower turnover than buy-and-hold; band rebalancing limits trades, but a buy-and-hold strategy makes no rebalancing trades at all, so the reverse is true.
  7. Which of the following statements regarding the risk-reduction benefit of adding an asset class to a portfolio is true?
    Answer: The risk reduction from adding an asset class depends on its correlation with the existing portfolio, its standard deviation, and the weight allocated to it. Under modern portfolio theory, the portfolio variance formula shows that a new asset's risk contribution depends on three factors: the correlation of its returns with the existing portfolio, its own standard deviation, and the allocation weight given to it. The statement naming correlation, standard deviation and weight correctly identifies all three. The statement that correlation below +1.0 always reduces risk overstates the benefit of imperfect correlation: even with correlation below +1.0, a very high-variance asset added at an unfavourable weight can increase portfolio risk. The statement that expected return determines the benefit identifies the wrong determinant; expected return affects portfolio return, not the diversification benefit. The statement that more than 20 asset classes eliminate nearly all risk ignores the persistence of systematic risk; even a large multi-asset portfolio remains exposed to economy-wide risk factors.
  8. A client's taxable account IPS targets 60% equities, 35% bonds, and 5% cash, with a plus-or-minus five percentage point band. A rally has pushed the portfolio to 72% equities, 26% bonds, and 2% cash. The IPS directs that when an asset class is outside its band, the portfolio should be rebalanced to the nearest band limit. The client is in the highest federal tax bracket, has no capital losses, and has no immediate cash-flow need.
    Which rebalancing action is most consistent with both the IPS and tax efficiency?
    Answer: Sell enough equities to bring the equity weight to 65%, use the proceeds to bring bonds to 30% and cash to 5%, and select the highest-basis tax lots. Under the IPS, the equity allocation at 72% is above its 55%-65% band and the bond allocation at 26% is below its 30%-40% band, so the portfolio should move to the nearest band limits: 65% equities and 30% bonds. The remaining sale proceeds bring cash to its 5% target. In a taxable account, identifying the highest-basis tax lots minimizes the current realized gain. Restoring exact 60/35/5 targets immediately would create more taxable gain than the IPS requires; deferring rebalancing violates the IPS; and selecting the lowest-basis shares maximizes the realized gain.
  9. Which of the following statements regarding the core-satellite approach to asset allocation is true?
    Answer: The core-satellite approach allocates the majority of the portfolio to a broadly diversified, passively managed core and holds smaller, actively managed satellite positions intended to add alpha. Core-satellite investing is an asset-allocation strategy that combines a broad, passively managed core—typically low-cost index exposure—with smaller, actively managed satellite positions intended to generate alpha. The statement that the majority of the portfolio is in the passively managed core and the satellites are smaller active positions is correct. The statement that the core and satellites are held in roughly equal amounts is wrong: the core is meant to be the majority of the portfolio. The statement that core and satellite positions must be in the same asset class to maximize correlation is wrong: satellites are typically used for different exposures or strategies, and high correlation with the core would defeat their purpose. The statement that core-satellite is a tactical technique that shifts the entire portfolio based on short-term forecasts is wrong: it is a strategic construction framework, not a wholesale market-timing shift.
  10. Two clients begin with identical portfolios of $600,000 in a stock index fund and $400,000 in bonds. Client A's adviser follows a constant-mix 60/40 strategy and rebalances at the end of each month. Client B's adviser follows a strict buy-and-hold strategy and never rebalances. Over the next two months, the stock index falls 20% in the first month and then rises 25% in the second month, returning to its starting level. Bonds are unchanged. Ignore taxes, trading costs, and cash flows.
    At the end of the two months, which statement is correct?
    Answer: Client A has more than $1,000,000 because the constant-mix strategy bought stocks after the decline and sold stocks after the recovery. A constant-mix strategy is contrarian: after the 20% decline, the stock weight falls below 60%, so the adviser buys stocks; after the 25% recovery, the stock weight rises above 60%, so the adviser sells stocks. That round trip adds value in a flat but volatile market. Client A ends with exactly $1,012,000, while Client B, who never rebalanced, ends with $1,000,000. The statement that Client B has more ignores the rebalancing gain; the equal-values statement assumes away the rebalancing effect; and the statement that Client A has less than Client B reverses the actual constant-mix trades.
  11. Which of the following statements regarding tactical asset allocation is true?
    Answer: Tactical asset allocation permits temporary deviations from policy portfolio weights based on short-term market views, then reverts to strategic target weights. Strategic vs. tactical asset allocation: strategic allocation sets long-term policy weights from the client's risk tolerance, goals, and time horizon. Tactical allocation permits deliberate, temporary deviations from those weights based on short-term market views, then reverts to strategic target weights when the view resolves. The statement that tactical allocation permits temporary deviations and then reverts is correct. The statement that tactical allocation revises the strategic policy weights when risk tolerance or time horizon changes describes strategic allocation, not tactical allocation. The statement that tactical allocation makes strategic allocation unnecessary is wrong because tactical shifts operate within the strategic framework. The statement that tactical allocation maintains constant asset class weights under all market conditions describes a fixed-weight approach, not tactical allocation.
  12. A client's current portfolio is 100% large-cap equity with an expected return of 9% and a standard deviation of 18%. The adviser is considering a 20% allocation to investment-grade bonds with an expected return of 4%, a standard deviation of 8%, and a correlation of 0.2 with the equity portfolio. The risk-free rate is 3%.
    After the proposed 80/20 change, which combination best describes the expected return, expected standard deviation, and risk-adjusted performance?
    Answer: 8.0% expected return, 14.8% standard deviation, and a slightly higher Sharpe ratio than that of the 100% equity portfolio. The expected return is 0.8(9%) + 0.2(4%) = 8.0%. The portfolio variance is 0.64(18218^2) + 0.04(828^2) + 2(0.8)(0.2)(0.2)(18)(8), which is about 219.1, so the standard deviation is approximately 14.8%. The Sharpe ratio rises from (9% - 3%) / 18% = 0.333 to (8% - 3%) / 14.8% = 0.338. The 14.5% figure omits the covariance term; the 16.0% figure effectively treats the assets as perfectly correlated; and the conclusion that a lower expected return necessarily means lower risk-adjusted performance ignores the risk reduction from diversification.
  13. An adviser with discretionary authority manages a client account under an investment policy statement (IPS) with strategic targets of 60% equity, 30% fixed income, and 10% real assets. The IPS authorizes temporary tactical departures of up to five percentage points from any target weight, but it does not define the conditions for making such departures. Based on an interest-rate forecast, the adviser plans to move the portfolio to 65% equity, 25% fixed income, and 10% real assets for six months, then return to the strategic targets.
    Which statement about the proposed change is correct?
    Answer: It is a tactical allocation move; because the six-month shift is within the IPS range, the adviser may implement it while documenting the rationale and the plan to return to the strategic targets. Asset allocation theory distinguishes strategic asset allocation, which sets long-term policy targets, from tactical asset allocation, which permits temporary departures from those targets in response to market or economic forecasts. Here the shift is within the five-percentage-point range the IPS authorizes, is temporary (six months), and the adviser has discretionary authority, so implementation is permitted; documenting the rationale and plan to return is consistent with prudent IPS management. The statement limiting tactical allocation to liquidity needs is too narrow; calling the shift strategic confuses a temporary deviation with a revised policy; and requiring a new written agreement before each tactical departure is unsupported because the IPS itself authorizes departures of up to five percentage points.
  14. Which of the following statements regarding systematic risk in a diversified multi-asset portfolio is true?
    Answer: Unsystematic risk is largely eliminated through diversification, and systematic risk remains because economy-wide factors that drive asset class returns cannot be diversified away. Modern portfolio theory distinguishes unsystematic (asset-specific) risk, which diversification can substantially reduce, from systematic (market) risk, which arises from broad economic factors and cannot be diversified away. The statement that unsystematic risk is largely eliminated while systematic risk remains is correct. The statement that unsystematic risk is caused primarily by broad economic factors is wrong: unsystematic risk is asset-specific, and broad economic factors are the source of systematic risk. The statement that both types of risk can be eliminated by holding negatively correlated asset classes is wrong because systematic risk is not eliminated by diversification. The statement that a portfolio's systematic risk equals the weighted average of the standard deviations of its individual asset classes is wrong: standard deviations measure total risk, and a diversified portfolio's standard deviation is less than the weighted average of its assets' standard deviations when correlations are less than 1; systematic risk is measured by beta.
  15. An investment policy statement sets a 60% equity / 40% fixed-income target with a 5-percentage-point absolute rebalancing band and no allowance for tactical deviations. The portfolio's equity weight has risen to 66%, and the adviser expects equities to continue outperforming. Which action does the threshold rebalancing policy require?
    Answer: Sell equities and rebalance to the 60/40 target immediately, because the band is breached and threshold rebalancing ignores market forecasts. Threshold (percentage-of-portfolio) rebalancing. The 5-percentage-point band around the 60% equity target runs from 55% to 65%. At 66% equity, the band's upper edge is breached, so the policy requires selling equities and restoring the 60/40 target. Threshold rebalancing is mechanical: the breach itself triggers the trade, regardless of the adviser's short-term market outlook. The statement that no action is required until equity reaches 71% is wrong because the band is measured from the target allocation, not from the current allocation. The statement that the trade may wait until the next scheduled review date is wrong because threshold rebalancing is event-driven, not calendar-driven. The statement that the portfolio should be held at 66% because of the adviser's outperformance expectation is wrong because the policy statement allows no tactical deviations.

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