Reading 30 Monitoring and Rebalancing Flashcards

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1
Q

The reasons for monitoring and rebalancing

A
  • First, clients’ needs and circumstances change, and portfolio managers must respond to these changes to ensure that the portfolio reflects those changes.
  • Second, capital market conditions change.
  • Third, fluctuations in the market values of assets create differences between a portfolio’s current asset allocation and its strategic asset allocation.
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2
Q

How often should the review of asset allocation be done?

A
  • In the field of private wealth management, reviews are usually semiannual or quarterly.
  • In institutional investing, the asset allocation review is a natural time for reviewing the range of changes in circumstance. Such reviews are often held annually.
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3
Q

Variable prepaid forward

A

In effect, combines a collar with a loan against the value of the shares.

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4
Q

Rebalancing Benefits

A

There are also several practical risk management benefits to rebalancing.

  • First, if higher-risk assets earn higher returns on average and we let the asset mix drift, higher-risk assets will tend to represent ever-larger proportions of the portfolio over time. Thus the level of portfolio risk will tend to drift upward. Portfolio risk will tend to be greater than that established for the client in the investment policy statement. Rebalancing controls drift in the overall level of portfolio risk.
  • Second, as asset mix drifts, the types of risk exposures drift. Rebalancing maintains the client’s desired systematic risk exposures.
  • Finally, not rebalancing may mean holding assets that have become overpriced, offering inferior future rewards.
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5
Q

Rebalancing Costs

A

These costs are of two types—transaction costs and, for taxable investors, tax costs.

Transaction costs consist of more than just explicit costs such as commissions. They include implicit costs, such as those related to the bid–ask spread and market impact. Market impact is the difference between realized price and the price that would have prevailed in the absence of the order. That cost is inherently unobservable.

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6
Q

Calendar Rebalancing

A

Calendar rebalancing involves rebalancing a portfolio to target weights on a periodic basis, for example, monthly, quarterly, semiannually, or annually. Quarterly rebalancing is one popular choice; the choice of rebalancing frequency is sometimes linked to the schedule of portfolio reviews.

Calendar rebalancing is the simplest rebalancing discipline. It does not involve continuously monitoring portfolio values within the rebalancing period. If the rebalancing frequency is adequate given the portfolio’s volatility, calendar rebalancing can suffice in ensuring that the actual portfolio does not drift far away from target for long periods of time.

A drawback of calendar rebalancing: It is unrelated to market behavior. On any given rebalancing date, the portfolio could be very close to or far away from optimal proportions.

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7
Q

Percentage-of-Portfolio Rebalancing

A

Percentage-of-portfolio rebalancing (also called percent-range or interval rebalancing) offers an alternative to calendar rebalancing. Percentage-of-portfolio rebalancing involves setting rebalancing thresholds or trigger points stated as a percentage of the portfolio’s value.

Percentage-of-portfolio rebalancing requires monitoring of portfolio values at an agreed-upon frequency in order to identify instances in which a trigger point is breached. To be implemented with greatest precision, monitoring should occur daily.

An obvious and important question is: How are the corridors for asset classes determined?

Investors sometimes set ad hoc corridors. However, ad hoc approaches are open to several criticisms (do not account for differences in transaction costs in rebalancing, for example).

The literature suggests that at least five factors should play a role in setting the corridor for an asset class:

  • transaction costs;
  • risk tolerance concerning tracking risk versus the strategic asset allocation;
  • correlation with other asset classes;
  • volatility;
  • volatilities of other asset classes.

The more expensive it is to trade an asset class (or the lower its liquidity), the wider its corridor should be, because the marginal benefit in rebalancing must at least equal its marginal cost. The higher the risk tolerance (i.e., the lower the investor’s sensitivity to straying from target proportions), the wider corridors can be.

Correlations also should be expected to play a role. In a two asset-class case, a higher correlation should lead to wider tolerance bands.

A higher volatility should lead to a narrower corridor, all else equal. It hurts more to be a given percent off target for a more highly volatile asset class because it has a greater chance of a further large move away from target.

!!! It is important to remember that if the tolerance band is triggered for one asset class then all asset classes shoudl be rebalanced !!!

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8
Q

Factors Affecting Optimal Corridor Width

A

1. Transaction costs

The higher the transaction costs, the wider the optimal corridor. (High transaction costs set a high hurdle for rebalancing benefits to overcome).

2. Risk tolerance

The higher the risk tolerance, the wider the optimal corridor. (Higher risk tolerance means less sensitivity to divergences from target).

3. Correlation with rest of portfolio

The higher the correlation, the wider the optimal corridor. (When asset classes move in synch, further divergence from targets is less likely).

4. Asset class volatility

The higher the volatility of a given asset class, the narrower the optimal corridor. (A given move away from target is potentially more costly for a high-volatility asset class, as a further divergence becomes more likely).

5. Volatility of rest of portfolio

The higher this volatility, the narrower the optimal corridor. (Makes large divergences from strategic asset allocation more likely).

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9
Q

Calendar-and-percentage-of-portfolio rebalancing

A

In this approach, the manager monitors the portfolio at regular frequencies, such as quarterly. The manager then decides to rebalance based on a percentage-of-portfolio principle (has a trigger point been exceeded?).

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10
Q

Equal probability rebalancing

A

In this discipline, the manager specifies a corridor for each asset class as a common multiple of the standard deviation of the asset class’s returns. Rebalancing to the target proportions occurs when any asset class weight moves outside its corridor. In this discipline each asset class is equally likely to trigger rebalancing if the normal distribution describes asset class returns. However, equal probability rebalancing does not account for differences in transaction costs or asset correlations.

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11
Q

Tactical rebalancing

A

A variation of calendar rebalancing that specifies less frequent rebalancing when markets appear to be trending and more frequent rebalancing when they are characterized by reversals. This approach seeks to add value by tying rebalancing frequency to expected market conditions that most favor rebalancing to a constant mix.

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12
Q

Rebalancing to Target Weights versus Rebalancing to the Allowed Range

A
  • The alternative, applicable to rebalancing approaches that involve corridors, is to rebalance the asset allocation so that all asset class weights are within the allowed range but not necessarily at target weights.
  • Compared with rebalancing to target weight, rebalancing to the allowed range results in less close alignment with target proportions but lower transaction costs; it also provides some room for tactical adjustments.
  • A number of studies have contrasted rebalancing to target weights to rebalancing to the allowed range based on particular asset classes, time periods, and measures of the benefits of rebalancing. They have reached a variety of conclusions which do not permit one to state that one discipline is unqualifiedly superior to the other.
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13
Q

Setting Optimal Thresholds

A

The optimal portfolio rebalancing strategy should maximize the present value of the net benefit of rebalancing to the investor. Equivalently, the optimal strategy minimizes the present value of the sum of two costs: expected utility losses (from divergences from the optimum) and transaction costs (from rebalancing trades). Despite the apparent simplicity of the above formulations, finding the optimal strategy in a completely general context remains a complex challenge:

  • If the costs of rebalancing are hard to measure, the benefits of rebalancing are even harder to quantify.
  • The return characteristics of different asset classes differ from each other, and at the same time interrelationships (correlations) exist among the asset classes that a rebalancing strategy may need to reflect.
  • The optimal rebalancing decisions at different points in time are linked; one decision affects another.
  • Accurately reflecting transaction costs may be difficult; for example, transaction costs can be nonlinear in the size of a rebalancing trade.
  • The optimal strategy is likely to change through time as prices evolve and new information becomes available.
  • Rebalancing has tax implications for taxable investors.
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14
Q

Buy-and-Hold Strategies

A

A buy-and-hold strategy is a passive strategy of buying an initial asset mix (e.g., 60/40 stocks/Treasury bills) and doing absolutely nothing subsequently. Whatever the market does, no adjustments are made to portfolio weights. It is a “do-nothing” strategy resulting in a drifting asset mix.

A buy-and-hold strategy would work well for an investor whose risk tolerance is positively related to wealth and stock market returns.

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15
Q

Constant-Mix Strategies

A
  • Constant mix is a “do-something” (or “dynamic”) strategy in that it reacts to market movements with trades.
  • Strong bull and bear markets favor a buy-and-hold strategy.
  • On the other hand, the constant-mix strategy tends to offer superior returns compared with buy-and-hold strategies if the equities returns are characterized more by reversals than by trends.
  • A constant-mix strategy is consistent with a risk tolerance that varies proportionately with wealth.
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16
Q

Constant-Proportion Strategy: CPPI

A

A constant-proportion strategy is a dynamic strategy in which the target equity allocation is a function of the value of the portfolio less a floor value for the portfolio. The following equation is used to determine equity allocation:

Target investment in stocks = m × (Portfolio value – Floor value)

A characteristic of constant-proportion strategies is that they are consistent with a zero tolerance for risk (and hence no holdings in stocks) when the cushion is zero. Buy-and-hold strategy is a special case of a constant-proportion strategy in which m = 1. (For a buy-and-hold strategy, there is no distinction between the actual and target investment in stocks. The desired investment is whatever the actual level is.) When m exceeds 1, the constant-proportion strategy is called constant-proportion portfolio insurance (CPPI).

CPPI is consistent with a higher tolerance for risk than a buy-and-hold strategy (when the cushion is positive), because the investor is holding a larger multiple of the cushion in stocks. Whereas a buy-and-hold strategy is do-nothing, CPPI is dynamic, requiring a manager to sell shares as stock values decline and buy shares as stock values rise. The floor in a buy-and-hold strategy is established with a fixed investment in bills; by contrast, in a CPPI strategy it is established dynamically.

To manage transaction costs, a CPPI strategy requires some rules to determine when rebalancing to the stated multiple of the cushion should take place. One approach transacts when the portfolio value changes by a given percentage.

We expect a CPPI strategy to earn high returns in strong bull markets because the share purchases as the cushion increases are profitable. In a severe bear market, the sale of shares also is profitable in avoiding losses on them. By contrast, CPPI performs poorly in markets characterized more by reversals than by trends. CPPI requires a manager to sell shares after weakness and buy shares after strength; those transactions are unprofitable if drops are followed by rebounds and increases are retraced. The CPPI strategy is just the opposite of the constant-mix strategy in using liquidity and being momentum oriented.

17
Q

Linear, Concave, and Convex Investment Strategies

A
  • A buy-and-hold strategy has been called a linear investment strategy because portfolio returns are a linear function of stock returns.
  • The share purchases and sales involved in constant-mix and CPPI strategies introduce nonlinearities in the relationship.
  • For constant-mix strategies, the relationship between portfolio returns and stock returns is concave; that is, portfolio return increases at a decreasing rate with positive stock returns and decreases at an increasing rate with negative stock returns.
  • In contrast, a CPPI strategy is convex. Portfolio return increases at an increasing rate with positive stock returns, and it decreases at a decreasing rate with negative stock returns.
  • Convex strategies represent the purchase of portfolio insurance, concave strategies the sale of portfolio insurance. That is, convex strategies dynamically establish a floor value while concave strategies provide or sell the liquidity to convex strategies.
18
Q

Relative Return Performance of Different Strategies in Various Markets

A

1. Market Condition Up

  • Constant Mix:* Underperform
  • Buy and Hold*: Outperform
  • CPPI:* Outperform

2. Market Condition Flat (but oscillating)

  • Constant Mix:* Outperform
  • Buy and Hold:* Neutral
  • CPPI*: Underperform

3. Market Condition Down

  • Constant Mix*: Underperform
  • Buy and Hold*: Outperform
  • CPPI*: Outperform

4. Payoff curve

  • Constant Mix:* Concave
  • Buy and Hold:* Linear
  • CPPI:* Convex

5. Portfolio insurance

  • Constant Mix:* Selling insurance
  • Buy and Hold:* None
  • CPPI:* Buying insurance

6. Multiplier

  • Constant Mix:* 0 < m < 1
  • Buy and Hold:* m = 1
  • CPPI:* m > 1
19
Q

Cash Market Trades

A
  • Cash market* trades generally are more costly, and slower to execute, than equivalent derivative trades. For taxable investors, however, tax considerations may favor cash market trades over derivative market trades.
  • First*, there may be no exact derivative market equivalent to a cash market trade on an after-tax basis.
  • Second*, in some tax jurisdictions such as the United States, derivative market trades may have unfavorable tax consequences relative to cash market trades. In addition, even if differences in taxation are irrelevant (as in the case of tax-exempt investors), not all asset class exposures can be closely replicated using derivatives, and individual derivative markets may have liquidity limitations.
20
Q

Derivative Trades

A

Rebalancing through derivatives markets, for the portion of the portfolio that can be closely replicated through derivative markets, has a number of major advantages:

  • lower transaction costs;
  • more rapid implementation—in derivative trades one is buying and selling systematic risk exposures rather than individual security positions; and
  • leaving active managers’ strategies undisturbed—in contrast to cash market trades, which involve trading individual positions, derivative trades have minimal impact on active managers’ strategies.
21
Q

Would a change in economic forecast affect the Investment Policy Statement?

A

The Investment Policy Statement depends on the client’s particular circumstances, including risk tolerance, time horizon, liquidity and legal constraints, and unique needs. Therefore, a change in economic forecast would not affect the Investment Policy Statement.

22
Q

Critique a percentage-of-portfolio discipline that involves establishing a corridor of target percentage allocation ± 5% for each asset class in the foundation’s portfolio.

A

The suggested approach has several disadvantages:

  • A fixed ±5% corridor takes no account of differences in transaction costs among the asset classes. For example, private equity has much higher transaction costs than inflation-protected bonds and should have a wider corridor, all else equal.
  • The corridors do not take account of differences in volatility. Rebalancing is most likely to be triggered by the highest volatility asset class.
  • The corridors do not take account of asset class correlations.
23
Q

How would the investment results of the recommended rebalancing discipline be affected if markets were nontrending?

A

Such markets tend to be characterized by reversal and enhance the investment results from rebalancing to the strategic asset allocation, according to Perold–Sharpe analysis.

24
Q

The primary drawback to calendar rebalancing

A

The primary drawback to calendar rebalancing is that it is unrelated to market behavior.

25
Q

Identify the relative investor risk tolerance characteristics of each of the following investing strategies: (1) buy-and-hold, (2) constant-mix, (3) constant-proportion portfolio insurance (CPPI)

A

1) Buy-and-hold: the investors tolerance for risk is zero of the value of investors assets falls below the floor value (zero equity allocation) but increases as stocks increase in value.
2) Constant-mix: Investor`s relative risk tolerance remains constant regardless of their wealth level. They will hold stocks at all levels of wealth.
3) CPPI: Investor risk tolerance is similar to that of the buy-and-hold methodology. Investor risk tolerance drops to zero when assets drop berlow the floor value.

26
Q

For each of the following, state whether the optimal corridor width should be wide or narrow and justify your response with one reason: High aversion to risk, Illiquid assets, High volatility.

A

High aversion to risk: narrow corridor witdth - investors have a high level of risk aversion meaning they have below-average risk tolerance and are averse to changes in the portfolio allocation and thus require frequent rebalancing.

Illiquid assets: wide corridor width - illiquid assets imply high transaction costs to buy and sell the assets; therefore, to minimize transaction costs, the corridor should be set wider, resulting in less rebalancing and reducing transaction cost.

High volatility: narrow corridor witdth - assets that exhibit a lot of volatility should have a narrow corridor width to be able to detect when the asset is out of range and to quickly rebalance before the asset allocation gets farther out of the desired range.

27
Q

Common feature of Buy-and-Hold and CPPI

A

In each of these strategies, risk tolerance is zero when the value of the assets drops below the floor. Under buy and hold, the floor value is the original amount invested in T-bills.

28
Q

Best rebalancing strategies that have convex payoff diagram?

A

Because convex strategies sell stocks as prices fall and buy as prices rise, they perform poorly in flat, by oscilating market - selling in weakness only to see the market renound, and buying on strength only to see the market fall.

*the constant mix strategy has a concave payoff diagram

29
Q

When Buy-and-Hold is better than CPPI?

A

Whereas the level of volatility results in market, characterized more by reversals than by trends the CPPI requires a manager to sell shares s after weakness and buy shares after strenght; those transactions are unprofitable if drops are followed by rebounds and increases are retraced. Transaction costs, such as theu may be, will also work against the investor. Under this volatility scenario, buy-and-hold should outperform CPPI.

However, if the level of volatility does not result in reversals dominating the upward trend, CPPI could be expected to outperform buy-and-hold.