Section 3Function 3: Investment Products, Recommendations & Records
Portfolio analysis and asset allocation
49 min read
· Lesson 15 of 19
About This Lesson
This chapter is the why behind diversification. Modern portfolio theory gives you the vocabulary, correlation, beta, alpha, the efficient frontier, and asset allocation puts it to work. The exam keeps returning to two splits: risk that diversifies away versus risk that cannot, and allocation set once versus allocation traded actively.
What you'll cover
MPT foundations: correlation, the efficient frontier, and the systematic/unsystematic risk split
CAPM, beta, alpha, and the Sharpe ratio
asset classes, strategic versus tactical allocation (and the account-type suitability link), rebalancing, and the DCA math
This is the fifteenth chapter of the products module.
Modern Portfolio Theory, Harry Markowitz's framework, rests on one insight: combine assets that do not move in lockstep and the portfolio's risk drops without giving up expected return. Five terms carry the questions:
Diversification: Adding securities with different risk/return
profiles reduces the portfolio's overall volatility. The benefit of diversification
comes from combining assets that do not move in perfect lockstep.
Correlation: Ranges from +1.0 (perfect positive) to -1.0
(perfect negative). The lower the correlation between assets, the greater the
diversification benefit. A perfectly negatively correlated pair eliminates
risk entirely in theory.
Efficient frontier: The set of portfolios that provide the
highest expected return for each level of risk. Portfolios on the efficient
frontier are optimally diversified — no other portfolio offers more return
for the same risk.
Systematic risk (market risk): Cannot be diversified away.
Affects the entire market (recessions, interest rate changes, inflation). Measured by beta.
Unsystematic risk (specific risk): Company- or industry-specific
risk that CAN be eliminated through diversification (holding enough uncorrelated securities).
Beta measures a security against the market: 1.0 moves with the market; above 1.0, more volatile; below 1.0, less; zero, uncorrelated; negative, opposite the market (gold, certain inverse ETFs).
Systematic vs. Unsystematic Risk and Diversification
Total risk splits into two pieces, and only one of them responds to diversification:
Systematic (market) risk
Cannot be diversified away
Affects the entire market: interest rate risk, inflation risk, recession risk, geopolitical events. Measured by beta. No matter how many securities you hold, systematic risk remains.
Unsystematic (specific) risk
Can be eliminated through diversification
Affects only a single company or industry: management failures, product recalls, lawsuits, competitive disruption. Adding 15–20 uncorrelated securities virtually eliminates unsystematic risk.
That asymmetry is MPT's punchline: unsystematic risk earns no premium, because it could have been diversified away, so rational investors hold diversified portfolios, and the efficient frontier maps the ones that deliver maximum expected return for each level of risk.
Correlation runs from -1.0 to +1.0 and sets the size of the diversification benefit: -1.0 offsets perfectly, +1.0 offers nothing, and most real-world pairs land between 0 and +0.7.
Concept Check
Which of the following best describes the efficient frontier in Modern Portfolio Theory?
The efficient frontier is the boundary of the set of optimally diversified portfolios. Any portfolio on the efficient frontier is optimal — it provides the maximum expected return for a given level of risk, or equivalently, the minimum risk for a given expected return. Portfolios below the frontier are suboptimal (more risk for the same return, or less return for the same risk). Rational investors choose a point on the frontier based on their risk tolerance.
Concept Check
An investor holds a diversified portfolio of 30 large-cap stocks. A financial news event causes the entire stock market to drop 15%. Which type of risk did the investor's diversification strategy fail to protect against?
Systematic (market) risk affects the entire market and cannot be eliminated through diversification — it is the risk that remains after a portfolio is fully diversified. The broad market decline is a classic systematic risk event. Unsystematic risk is company- or industry-specific risk that diversification can eliminate. Holding 30 stocks in multiple sectors eliminates most unsystematic risk but provides no protection against a market-wide decline.
Concept Check
A registered representative is explaining the limits of diversification to a customer concerned about market volatility. Which type of risk CANNOT be eliminated through portfolio diversification?
Systematic risk — also called market risk — affects all securities within an asset class simultaneously and cannot be diversified away by holding additional positions. The risk that a recession, rate hike, or broad market panic moves the entire equity universe lower is captured by beta and remains in any equity portfolio regardless of how many holdings it contains. Business risk, industry risk, and issuer-specific credit risk are all forms of unsystematic risk that decline as the portfolio adds uncorrelated positions. Modern portfolio theory recognizes this distinction explicitly: diversification eliminates unsystematic risk only.
Section 2 of 3~10 min · 5 concept checks
CAPM, Alpha, Beta & Performance Ratios
CAPM, Alpha, Beta, and Performance Ratios
Beta measures a security’s volatility relative to the market (S&P 500 = 1.0).
Beta > 1.0: More volatile than the market (amplifies both gains and losses)
Beta = 1.0: Moves exactly with the market
Beta < 1.0: Less volatile than the market (defensive)
Beta = 0: No correlation with market movements (e.g., T-bills)
Negative beta: Moves inversely to the market (e.g., gold in some periods)
Portfolio beta = the weighted average of individual security betas.
CAPM Expected Return = Rf + β × (Rm − Rf)
Alpha = Actual return − CAPM expected return. Positive alpha means the manager added value above what was expected given the risk taken.
Risk-Adjusted Performance Ratios
Sharpe ratio
Formula
(Return − Rf) ÷ Std deviation
Measures
Excess return per unit of total risk. Best for standalone portfolio evaluation.
Treynor ratio
Formula
(Return − Rf) ÷ Beta
Measures
Excess return per unit of market risk. Best for comparing diversified portfolios.
Alpha
Formula
Actual return − CAPM expected
Measures
Value added (or destroyed) by active management beyond beta prediction.
Concept Check
Portfolio A has an annual return of 14% with a standard deviation of 18%. Portfolio B has an annual return of 11% with a standard deviation of 10%. The risk-free rate is 3%. Which portfolio has the higher Sharpe ratio?
Sharpe ratio = (Return − Risk-free rate) ÷ Standard deviation. Portfolio A: (14% − 3%) ÷ 18% = 11/18 = 0.61. Portfolio B: (11% − 3%) ÷ 10% = 8/10 = 0.80. Portfolio B has a higher Sharpe ratio (0.80 vs. 0.61), meaning it delivers more return per unit of risk taken. Even though Portfolio A has a higher absolute return, its much higher volatility makes it less efficient on a risk-adjusted basis.
Concept Check
An investor holds two securities. Security A has a beta of 1.8 and Security B has a beta of 0.4. The investor holds equal dollar amounts of each. Approximately what is the portfolio's beta?
Portfolio beta is the weighted average of the individual securities' betas. With equal weights (50% each): Portfolio beta = (0.50 x 1.8) + (0.50 x 0.4) = 0.9 + 0.2 = 1.10. A portfolio beta of 1.10 means the portfolio is expected to move about 10% more than the market in either direction. Adding the low-beta security (0.4) significantly reduced the portfolio's overall market exposure from the 1.8 single-security level.
Concept Check
A common stock has a beta of 1.4. If the broad market index rises by 10%, an investor would expect the stock’s price to
Beta measures the sensitivity of a security’s price to movements in the broader market. A beta of 1.4 means the stock historically moves 1.4 times as much as the index, in the same direction. A 10% market rise would project to a 14% rise in the stock under the linear assumption of CAPM. A beta below 1.0 implies reduced sensitivity, contradicting the given 1.4 figure. A beta of 1.0 implies index-matching movement. Beta is rarely negative in practice and never implied by a positive value above 1.0, ruling out the inverse-correlation interpretation.
Concept Check
An investor's portfolio returned 15% in a year when the market returned 12% and the risk-free rate was 3%. The portfolio had a beta of 1.2. What is the portfolio's alpha?
CAPM expected return = Risk-free rate + Beta x (Market return - Risk-free) = 3% + 1.2 x (12% - 3%) = 3% + 10.8% = 13.8%. Alpha = Actual return - CAPM expected return = 15% - 13.8% = +1.2%. The portfolio beat what was expected given its level of market risk. Positive alpha indicates value added by the manager. The +3% raw outperformance does not account for the higher beta — the manager took more risk, so some outperformance was expected.
Concept Check
A portfolio manager generates a return of 12% during a year in which the CAPM-predicted return for the portfolio’s risk level was 9%. The portfolio’s alpha for the year is
Alpha is the difference between actual portfolio return and the return predicted by CAPM for the portfolio’s level of systematic risk. The manager generated 12% versus a 9% predicted return, producing alpha of plus 3 percent. Positive alpha represents value added through skill beyond what beta exposure would have delivered. Negative alpha would imply underperformance versus the risk-adjusted benchmark, the opposite of the scenario described. Zero alpha would mean the realized return matched expectations, again contradicting the figures. Adding the two returns together produces a meaningless number with no analytical significance.
Section 3 of 3~22 min · 5 concept checks
Asset Allocation in Practice
Asset Classes: The Building Blocks of Allocation
Allocation starts with sorting investments into classes by how they earn and how they behave. The exam works with five:
Asset Class
Examples
Primary Role
Equities
Common stocks, equity mutual funds, equity ETFs
Long-term capital growth; highest expected return; highest volatility.
Fixed Income
Treasuries, corporates, munis, bond funds
Income generation and lower volatility; inverse sensitivity to interest rates.
Cash & Equivalents
Money market funds, T-bills, savings deposits
Capital preservation and liquidity; lowest return; minimal credit risk.
Diversification through low correlation with traditional asset classes.
Real Assets
Real estate, REITs, infrastructure, precious metals
Inflation protection and tangible-asset exposure; income plus appreciation.
Why classes matter: The
whole purpose of allocating across classes is to capture imperfect
correlation — returns from one class do not perfectly track another.
When equities decline, fixed income often rises (or falls less). When
inflation spikes, real assets typically outperform. The combination smooths
portfolio returns more than any single class can alone.
Asset Allocation Models and Strategies
Four allocation tools, one screen. The three blocks after this one take strategic-versus-tactical, rebalancing, and DCA each in depth; this is the map:
Strategic asset allocation
Establishes long-term target weights (e.g., 60% equities, 40% bonds) based on the investor's objectives and risk tolerance. Periodically rebalanced back to targets when weights drift. "Set it and rebalance it."
Tactical asset allocation
Deviates from long-term targets based on short-term market views. Active management of allocation weights to capitalize on expected near-term opportunities or avoid risks.
Dollar-cost averaging (DCA)
Investing a fixed dollar amount at regular intervals regardless of price. Buys more shares when prices are low, fewer when high. Reduces average cost per share over time. Reduces timing risk.
Rebalancing
Selling outperforming assets and buying underperforming ones to restore target weights. Enforces "buy low, sell high" discipline. May trigger capital gains — less efficient in taxable accounts.
Alpha and the Sharpe Ratio
Alpha: A measure of a portfolio manager's value-add above the
expected return for the level of risk taken (based on the capital asset pricing model, CAPM).
Positive alpha means the manager outperformed on a risk-adjusted basis; negative alpha means underperformance.
Sharpe ratio: (Portfolio return − Risk-free rate) ÷ Portfolio standard deviation.
Measures return per unit of total risk. Higher is better. Used to compare portfolios with different risk levels.
Strategic vs. Tactical Asset Allocation
Strategic versus tactical is more than a style difference; each implies its own account type, fee structure, and customer, and the exam tests that link directly:
Strategic Allocation
Long-term, target-weight based
Sets long-term target weights (e.g., 60% equities / 40% fixed income) based on the investor’s objectives, time horizon, and risk tolerance.
Rebalances periodically back to target weights but does not attempt to time markets.
Buy-and-hold philosophy with infrequent trading.
Account fit: Standard commission-based brokerage account; low transaction frequency keeps costs proportional.
Tactical Allocation
Short-term, market-timing based
Adjusts allocation actively based on market conditions, valuation, or economic outlook.
Attempts to overweight outperforming asset classes and underweight underperforming ones.
High trading frequency; commission costs accumulate quickly under per-trade pricing.
Account fit: Fee-based or wrap account; flat-rate fees decouple costs from trade volume.
Suitability link tested directly
on the exam: A customer practicing tactical allocation — frequent
trading to time the market — is a candidate for a fee-based account. A
customer using strategic allocation typically should NOT be in a fee-based
account because low trading volume makes the flat fee uneconomical.
Rebalancing: Restoring Target Allocations
Markets move and weights drift: winners swell past their targets while laggards shrink. Rebalancing sells the swollen and buys the shrunken to restore the plan.
Rebalancing Triggers
Calendar-based: Rebalance on a fixed schedule — quarterly, semiannually, or annually.
Threshold-based: Rebalance when an asset class drifts beyond a stated band, typically +/−5% of its target weight.
Hybrid: Check thresholds on a regular schedule and rebalance only if the drift exceeds the band.
Why Rebalancing Adds Discipline
The deeper point is behavioral: rebalancing forces sell-high, buy-low, the exact opposite of performance-chasing. The method matters less than the habit; over long stretches, rebalanced portfolios run lower volatility and better risk-adjusted returns than drifting ones.
Tax considerations:
Rebalancing in a taxable account creates capital gains liability when
appreciated positions are sold. Investors often rebalance using new
contributions or redirect dividend reinvestments rather than selling
positions, particularly when sell-side rebalancing would generate
short-term gains taxed at ordinary rates.
Dollar-Cost Averaging: Why Average Cost Is Always Lower Than Average Price
DCA means investing a fixed dollar amount on a fixed schedule, and it carries a guarantee the exam loves: your average cost per share comes out below the simple average of the prices you paid. Sounds like a trick; it is arithmetic.
Why it works: the fixed dollars buy more shares when the price is low and fewer when it is high, so the lows get weighted more heavily in the average.
Example: invest $500/month at prices of $50, $25, $100.
Shares purchased: 10 + 20 + 5 = 35 shares. Total invested: $1,500.
Average cost = $1,500 ÷ 35 = $42.86.
Arithmetic average price = ($50 + $25 + $100) ÷ 3 = $58.33.
As long as prices fluctuate, $42.86 beats $58.33 every time. DCA does not guarantee a profit; it guarantees this property.
Concept Check
A customer concerned about long-term inflation impact on a retirement portfolio asks for an allocation suggestion that would provide some inflation protection. Which asset class is most commonly recommended for that purpose?
Real assets — real estate, REITs, infrastructure, and commodity exposure — typically provide the most reliable long-term inflation protection because their underlying values rise with general price levels. REITs deliver this through rising rents and property values; commodities through direct input-price exposure. Long-duration corporate bonds suffer most when inflation forces rates higher because their prices fall sharply. Short-term Treasury bills preserve nominal capital but offer no real return premium. High-yield bonds carry significant credit risk and serve income objectives, not inflation protection.
Concept Check
A customer practices tactical asset allocation, actively shifting weights between equities and fixed income based on near-term market outlook. Which account structure is most suitable?
A tactical asset allocator generates frequent trading volume that would accumulate substantial commissions under a per-trade pricing structure. Fee-based or wrap accounts decouple cost from trade frequency by charging a flat annual percentage of assets under management, making them the natural fit for high-turnover strategies. A standard commission-based account would suit a strategic allocator with low trading volume. The discretionary advisory and direct-purchase distractors do not address the cost-versus-trade-volume tradeoff that drives the suitability analysis here.
Concept Check
A customer with a 25-year retirement horizon establishes target weights of 70% equities and 30% fixed income, intending to hold those weights over time. This approach is best described as
Strategic asset allocation establishes long-term target weights derived from the investor’s objectives, time horizon, and risk tolerance, with rebalancing back to those targets but no attempt at market timing. The customer’s 25-year horizon and explicit target weights match the strategic profile precisely. Tactical allocation by contrast adjusts weights based on near-term market outlook, the opposite philosophy. Sector rotation and momentum management are active strategies that similarly involve continual repositioning, contrasting with the buy-and-hold-with-rebalancing nature of strategic allocation.
Concept Check
An investor with a 60/40 target allocation finds that strong equity performance has shifted the portfolio to 70/30. The discipline of rebalancing back to the original target requires the investor to
Rebalancing back to the 60/40 target requires selling some of the over-weighted asset class (equities) and adding to the under-weighted class (fixed income). This is the textbook sell-high, buy-low discipline that gives rebalancing its long-term benefit. Continuing to add to equities would compound the drift, producing the opposite of rebalancing. Maintaining the 70/30 mix abandons the strategic allocation entirely. Liquidating the full portfolio is unnecessary and creates avoidable transaction costs and tax consequences when simple proportional adjustments would suffice.
Concept Check
An investor uses dollar-cost averaging (DCA) to invest $500 per month into a mutual fund over 4 months. The prices are $20, $25, $10, and $25. What is the investor's average cost per share?
DCA average cost = Total invested / Total shares purchased. Shares: $500/$20=25, $500/$25=20, $500/$10=50, $500/$25=20. Total shares = 115. Total invested = $2,000. Average cost = $2,000 / 115 = $17.39. The arithmetic average price is ($20+$25+$10+$25)/4 = $20. DCA produces a lower average cost because more shares are purchased at the lowest price ($10 → 50 shares) than at higher prices. This illustrates DCA's core benefit: naturally buying more shares when prices fall.
SummaryExam Essentials — high-yield review
Chapter Summary
Ch 22 Exam Essentials — Portfolio Analysis and Asset Allocation
Beta: Measures a security's sensitivity to market movements. Beta 1.0 = moves with market. Beta >1.0 = more volatile. Beta <1.0 = less volatile. Negative beta = inverse relationship (gold, some inverse ETFs). Portfolio beta = weighted average.
Alpha: Return above/below what CAPM predicts given the level of risk. Positive alpha = manager added value. CAPM expected return = Rf + β(Rm − Rf). Alpha = actual return − CAPM expected return.
Sharpe ratio: (Portfolio return − Risk-free rate) ÷ Standard deviation. Measures return per unit of total risk. Higher = better. Used to compare portfolios of different risk levels on a risk-adjusted basis.
Systematic vs. unsystematic risk: Systematic (market) risk = cannot be diversified away; measured by beta. Unsystematic (specific) risk = company/industry risk; eliminated through diversification. Efficient portfolios hold only systematic risk.
Dollar-cost averaging: Fixed dollar amount at regular intervals. Buys more shares when prices are low, fewer when high. Average cost per share is always lower than the arithmetic average price. Reduces timing risk.
Portfolio Analysis Exam Traps — Consolidated
Twelve portfolio traps the exam recycles. One pass before test day; each line settles a recurring question:
1. Strategic allocation = long-term target weights, infrequent
trades. Tactical allocation = active timing, frequent trades. The
fee-based account fits tactical, not strategic.
2. Tactical traders are candidates for fee-based or wrap
accounts. Flat-rate fees protect them from commission accumulation
under heavy trading volumes.
3. A strategic-allocation customer in a fee-based account is
unsuitable. Low trade volume means the flat fee exceeds what they
would pay in commissions. Reverse churning concerns apply.
4. Beta of 1.0 = moves with the market. Beta of 1.5 = 50%
more volatile than the market index. Beta of 0.75 = 25% less volatile. The
market index always has a beta of 1.0 by definition.
5. Positive alpha = outperformance vs. risk-adjusted benchmark.
Negative alpha = underperformance. A skilled active manager seeks to generate
positive alpha; index funds target zero alpha by design.
6. Rebalancing forces sell-high, buy-low discipline.
Calendar-based, threshold-based, or hybrid triggers; the choice of method
matters less than the discipline itself.
7. Asset classes provide diversification through imperfect
correlation. Equities, fixed income, cash, alternatives, real
assets. Combination smooths returns more than any single class.
8. Five asset classes vs. simplistic stock/bond split.
Modern allocation includes alternatives and real assets, especially for
high-net-worth and institutional clients with longer time horizons.
9. Sharpe ratio = excess return per unit of total risk.
Higher Sharpe means better risk-adjusted return. Compares portfolios across
different risk levels meaningfully.
10. Efficient frontier = optimal risk/return combinations.
Every point on the frontier offers the highest possible return for its level
of risk; portfolios below the frontier are inefficient.
11. CAPM links risk to expected return through beta.
Expected return = risk-free rate + beta × market risk premium. The
foundation of MPT-based portfolio construction.
12. Diversification reduces unsystematic (security-specific) risk.
It does NOT eliminate systematic (market) risk. The latter is captured by
beta and remains regardless of how broadly the investor diversifies.