NASAA Series 66 — All Questions

A 30-year-old client with stable income, a long time horizon, and high risk tolerance wants aggressive growth. Which asset allocation is MOST suitable?

• a.70% investment-grade bonds, 30% cash
• b.80% diversified equities, 20% bonds✓
• c.90% money market, 10% Treasury bills
• d.100% short-term CDs

A young investor with a long horizon and high risk tolerance seeking growth is best served by an equity-heavy allocation that can compound over time and weather volatility. Cash-heavy or bond-heavy portfolios would not meet the aggressive growth objective. Suitability aligns the portfolio with the client's profile.

A retired client living on a fixed income needs current cash flow and capital preservation. Which recommendation best fits this profile?

• a.Leveraged index options
• b.A private, illiquid venture fund
• c.A laddered portfolio of high-quality bonds and dividend-paying stocks✓
• d.A concentrated position in a single speculative small-cap stock

A retiree needing income and preservation is well served by high-quality bonds laddered to manage reinvestment risk plus dividend-paying equities for some inflation protection. Speculative, leveraged, or illiquid holdings conflict with income and preservation goals. Matching investments to the profile is the core of suitability.

Bond laddering is a strategy primarily used to manage which risk?

• a.Interest-rate and reinvestment risk✓
• b.Currency risk
• c.Political risk
• d.Business risk

A bond ladder staggers maturities so that portions of the portfolio mature at intervals, reducing exposure to reinvesting all funds at a single rate and smoothing interest-rate risk. It provides regular liquidity and flexibility. It does not primarily address currency or political risk.

An investor holds municipal bonds. The interest is generally MOST attractive to which type of investor?

• a.A foreign investor with no U.S. tax liability
• b.A tax-exempt pension fund
• c.A high-income investor in a high marginal tax bracket✓
• d.A young investor with minimal income

Municipal bond interest is generally exempt from federal income tax, so its after-tax yield is most valuable to high-bracket investors. Tax-exempt entities and low-income investors gain little from the exemption. Comparing taxable-equivalent yield is essential in suitability.

Under the strategic asset allocation approach, an investor primarily:

• a.Concentrates in whatever sector performed best last quarter
• b.Frequently times the market based on short-term forecasts
• c.Avoids equities entirely
• d.Sets long-term target weights across asset classes and periodically rebalances✓

Strategic asset allocation establishes long-term target weights based on the client's goals and risk tolerance, then rebalances periodically back to those targets. It contrasts with tactical allocation, which makes shorter-term shifts. This disciplined approach reduces emotional, performance-chasing decisions.

A client sells stock held for 14 months at a gain. This gain is generally taxed as:

• a.A short-term capital gain, taxed as ordinary income
• b.A long-term capital gain, taxed at preferential rates✓
• c.Tax-free
• d.Subject to a 10% early withdrawal penalty

Assets held longer than one year produce long-term capital gains, which are taxed at preferential rates below ordinary income rates. A 14-month holding period exceeds the one-year threshold. Short-term gains, from holdings of one year or less, are taxed as ordinary income.

An investor sells a stock at a loss and repurchases the same stock 10 days later. The wash-sale rule will:

• a.Trigger a 50% penalty
• b.Allow the full loss immediately
• c.Disallow the loss and add it to the basis of the repurchased shares✓
• d.Convert the loss into a gain

The wash-sale rule disallows a loss when substantially identical securities are purchased within 30 days before or after the sale. The disallowed loss is added to the basis of the replacement shares, deferring the benefit. This prevents harvesting losses without a real change in position.

The Sharpe ratio measures:

• a.Total return without regard to risk
• b.A portfolio's dividend yield
• c.Risk-adjusted return, using excess return over the risk-free rate per unit of total risk (standard deviation)✓
• d.The correlation between two assets

The Sharpe ratio divides a portfolio's return in excess of the risk-free rate by its standard deviation, expressing return per unit of total risk. Higher values indicate better risk-adjusted performance. It is a key tool in performance measurement.

Beta measures a security's:

• a.Volatility relative to the overall market (systematic risk)✓
• b.Company-specific, diversifiable risk
• c.Absolute dollar return
• d.Dividend growth rate

Beta gauges a security's sensitivity to overall market movements, capturing systematic, non-diversifiable risk. A beta above 1 indicates greater volatility than the market. It is used in the capital asset pricing model to estimate required return.

A client's investment policy calls for rebalancing when any asset class drifts more than five percentage points from target. Equities have risen sharply, pushing the equity weight above the band. The adviser should:

• a.Do nothing because winners should always run
• b.Double the equity allocation to capture momentum
• c.Sell some equities and buy the underweighted classes to restore targets✓
• d.Move the entire portfolio to cash

Disciplined rebalancing means trimming the overweight asset class and adding to underweighted ones to restore the target allocation and control risk. Ignoring the policy or chasing momentum abandons the client's agreed risk profile. Rebalancing enforces buy-low, sell-high discipline.

Dollar-cost averaging involves:

• a.Investing a lump sum all at once at the market peak
• b.Selling fixed amounts each month
• c.Investing a fixed dollar amount at regular intervals regardless of price✓
• d.Timing purchases to buy only at market bottoms

Dollar-cost averaging invests a constant dollar amount at regular intervals, buying more shares when prices are low and fewer when high, lowering the average cost per share over time. It reduces the risk of a poorly timed lump-sum entry. It is a systematic, discipline-based approach.

Diversification across uncorrelated asset classes primarily reduces which type of risk?

• a.Interest-rate risk on all bonds
• b.Systematic (market) risk
• c.Unsystematic (company- or sector-specific) risk✓
• d.Inflation risk entirely

Diversification lowers unsystematic risk, the portion of risk unique to a company or sector, by spreading exposure. It cannot eliminate systematic risk that affects the entire market. Combining low-correlation assets improves the risk-return tradeoff.

A client contributes to a Roth IRA. Which statement is correct?

• a.Contributions are made with after-tax dollars, and qualified distributions are tax-free✓
• b.Earnings are taxed annually
• c.Contributions are tax-deductible and withdrawals are always taxed
• d.Required minimum distributions begin at age 59.5

Roth IRA contributions are made with after-tax dollars, so qualified distributions of both contributions and earnings are tax-free. There are no lifetime required minimum distributions for the original owner. This makes Roths attractive for investors expecting higher future tax rates.

A married couple wants to pass assets to heirs while minimizing estate tax and retaining some control. An appropriate estate-planning tool to discuss is:

• a.An irrevocable trust that removes assets from the taxable estate✓
• b.A variable-rate demand note
• c.A margin account
• d.A day-trading strategy

An irrevocable trust can remove assets from the grantor's taxable estate while providing for distribution according to the grantor's wishes. It is a common estate-planning vehicle for tax efficiency and control over succession. Margin accounts and trading strategies are unrelated to estate transfer.

A client asks about the tax treatment of qualified dividends. Qualified dividends are generally:

• a.Taxed as ordinary income at the highest rate
• b.Subject to payroll taxes
• c.Completely tax-free
• d.Taxed at preferential long-term capital gains rates✓

Qualified dividends meet holding-period and other requirements and are taxed at the lower long-term capital gains rates rather than as ordinary income. This favorable treatment enhances after-tax returns on eligible equity income. Nonqualified dividends are taxed as ordinary income.

When determining suitability, the FIRST and most fundamental step is to:

• a.Gather and understand the client's financial situation, objectives, risk tolerance, and time horizon✓
• b.Recommend the highest-commission product
• c.Buy whatever is trending in the market
• d.Place the client entirely in cash

Suitability begins with a thorough understanding of the client, including financial situation, goals, risk tolerance, time horizon, and constraints. Only after building this profile can appropriate recommendations follow. Skipping this step undermines the entire advisory process.

The present value of a future sum will be lower when:

• a.The discount rate is zero
• b.The discount rate is higher✓
• c.There is no interest
• d.The time period is very short

Present value falls as the discount rate rises, because future dollars are discounted more heavily. A higher rate or a longer horizon reduces present value. This time-value-of-money concept underlies bond pricing and retirement planning.

An investor wants exposure to a broad market index at low cost with high tax efficiency and intraday liquidity. Which vehicle is MOST appropriate?

• a.A single micro-cap stock
• b.A leveraged inverse ETN held long term
• c.A broad-market exchange-traded fund (ETF)✓
• d.A non-traded REIT

A broad-market ETF offers diversified index exposure, low expense ratios, intraday trading, and generally strong tax efficiency due to its structure. Leveraged or inverse products are unsuitable for long-term index exposure, and single stocks lack diversification. The ETF best matches the stated needs.

A client in the accumulation phase of a variable annuity is concerned about outliving assets in retirement. Annuitization with a life payout option primarily addresses:

• a.Reinvestment risk
• b.Currency risk
• c.Longevity risk✓
• d.Interest-rate risk

A life-contingent annuity payout provides income for as long as the annuitant lives, directly addressing longevity risk, the danger of outliving one's assets. It transfers that risk to the insurer. It does not specifically hedge interest-rate or currency risk.

An adviser notices a client has an unusually large, concentrated position in the client's employer stock. The primary concern the adviser should raise is:

• a.Concentration risk, since both the client's job income and portfolio depend on one company✓
• b.Long-term capital gains treatment
• c.The stock's beta is exactly 1.0
• d.The stock pays qualified dividends

A concentrated position in employer stock exposes the client to significant unsystematic risk, compounded because both employment income and investment value depend on the same company. Diversification would reduce this concentration risk. Tax features are secondary to the risk concern.

The alpha of a portfolio measures:

• a.The portfolio's total risk
• b.The dividend yield
• c.The excess return relative to what its beta would predict✓
• d.The correlation to the benchmark

Alpha represents the return earned above or below what the portfolio's market risk, or beta, would predict under a model such as CAPM. Positive alpha suggests value added by the manager. It is a common measure of active management skill.

A client withdraws funds from a traditional IRA before age 59.5 without qualifying for an exception. The tax consequence is generally:

• a.No tax at all
• b.Ordinary income tax plus a 10% early withdrawal penalty✓
• c.A 50% excise tax
• d.Tax-free treatment like a Roth

Early distributions from a traditional IRA before age 59.5 are generally subject to ordinary income tax plus a 10% penalty, absent a qualifying exception such as certain medical or first-home costs. Traditional IRA withdrawals are not tax-free. The penalty discourages premature use of retirement funds.

Modern portfolio theory suggests that the efficient frontier represents portfolios that:

• a.Guarantee no losses
• b.Offer the highest expected return for a given level of risk✓
• c.Contain only one asset class
• d.Have the lowest possible return

The efficient frontier plots portfolios offering the maximum expected return for each level of risk, or the minimum risk for a given return. Rational investors select portfolios on this frontier. Combining assets with low correlation shifts the frontier favorably.

An adviser recommends tax-loss harvesting near year-end. The primary benefit is to:

• a.Avoid the wash-sale rule automatically
• b.Increase the client's taxable income
• c.Realize losses that can offset capital gains and up to a limited amount of ordinary income✓
• d.Guarantee a higher return

Tax-loss harvesting realizes capital losses to offset capital gains and, beyond that, a limited amount of ordinary income per year, with excess carried forward. It improves after-tax returns without necessarily changing overall strategy. The wash-sale rule must still be respected.

A client has a short time horizon of one year for a down payment on a home. The MOST suitable investment is:

• a.A long-dated zero-coupon bond
• b.A short-term, high-quality money market instrument✓
• c.A concentrated growth stock
• d.A leveraged equity fund

For a short horizon and a near-term spending goal, capital preservation and liquidity dominate, making short-term, high-quality instruments most suitable. Volatile equities or long-duration bonds could lose value right when the funds are needed. Time horizon strongly shapes suitability.

Duration is used to estimate a bond's:

• a.Credit rating
• b.Coupon payment date
• c.Price sensitivity to changes in interest rates✓
• d.Callability

Duration measures the sensitivity of a bond's price to interest-rate changes; longer duration implies greater price movement for a given rate shift. It helps advisers manage interest-rate risk. It is distinct from credit quality or call features.

A client wants growth but panics and sells during every market decline. This behavioral tendency is best described as:

• a.Loss aversion driving poorly timed selling✓
• b.Rational rebalancing
• c.Tax-loss harvesting
• d.Strategic asset allocation

Loss aversion causes investors to feel losses more acutely than equivalent gains, prompting panic selling at market lows that locks in losses. Recognizing this behavioral bias helps the adviser coach the client and design a suitable, resilient plan. It is not a disciplined strategy.

A 529 plan is primarily used for:

• a.Short-term trading
• b.Estate liquidity
• c.Qualified education expenses with tax-advantaged growth✓
• d.Retirement income

A 529 plan offers tax-advantaged growth and tax-free withdrawals when used for qualified education expenses. It is a common tool in education funding within a financial plan. It is not designed for retirement income or trading.

When comparing two portfolios with the same return, the one with the LOWER standard deviation is generally considered:

• a.Guaranteed to outperform
• b.Riskier and less desirable
• c.Less volatile and thus more attractive on a risk-adjusted basis✓
• d.Identical in every respect

Standard deviation measures total volatility; for equal returns, the portfolio with lower standard deviation delivers those returns with less risk. Risk-averse investors prefer the less volatile portfolio. This underlies risk-adjusted performance comparisons.

An investor is subject to the alternative minimum tax and holds private-activity municipal bonds. The adviser should note that interest on certain private-activity bonds may be:

• a.Always fully tax-free under all circumstances
• b.A preference item includable for AMT purposes✓
• c.Exempt from all federal reporting
• d.Taxed as a capital gain

Interest on certain private-activity municipal bonds is a tax-preference item that can be added back for alternative minimum tax purposes, reducing its benefit for AMT-affected clients. General obligation municipal interest is typically not an AMT preference. Tax status must be evaluated per client.

A client nearing retirement wants to gradually reduce portfolio risk. A glide-path approach would:

• a.Shift the allocation progressively toward more conservative assets as the target date approaches✓
• b.Keep the allocation permanently fixed
• c.Move fully into a single stock
• d.Increase equity exposure each year

A glide path gradually reduces equity exposure and increases conservative holdings as a target date, such as retirement, nears. This aligns risk with a shortening time horizon and rising need for capital preservation. Target-date funds commonly use this method.

A high-net-worth client asks how to reduce estate taxes through lifetime giving. The adviser should mention:

• a.That gifts always trigger immediate income tax to the recipient
• b.That there is no annual gift exclusion
• c.The annual gift tax exclusion, which allows tax-free gifts up to a set amount per recipient each year✓
• d.That gifting is prohibited under securities law

The annual gift tax exclusion permits gifts up to an indexed amount per recipient each year without using the lifetime exemption or incurring gift tax. Systematic gifting can reduce the taxable estate over time. Recipients generally do not owe income tax on gifts.

An adviser evaluates a mutual fund's performance against a benchmark index. The value that shows how closely the fund tracks the benchmark is best captured by:

• a.The fund's sales load
• b.The fund's expense ratio alone
• c.The fund's turnover ratio
• d.R-squared and tracking error relative to the benchmark✓

R-squared indicates how much of a fund's movement is explained by the benchmark, and tracking error measures deviation from it. Together they show how closely the fund follows its index. Expense ratios and loads relate to cost, not tracking fidelity.

A client holds appreciated stock and wishes to donate to charity in a tax-efficient way. Donating the appreciated shares directly, rather than selling first, generally allows the client to:

• a.Avoid capital gains tax on the appreciation and potentially deduct the fair market value✓
• b.Convert the gift into ordinary income
• c.Pay double capital gains tax
• d.Eliminate the need for any records

Donating long-term appreciated securities directly to a qualified charity generally lets the donor avoid capital gains tax on the appreciation and claim a deduction for fair market value, subject to limits. Selling first would trigger capital gains. This is a common tax-efficient giving strategy.

An adviser must recommend a suitable rollover for a client leaving an employer with a 401(k). The option that generally preserves tax deferral without immediate taxation is:

• a.A direct rollover to a traditional IRA✓
• b.Withdrawing and spending the funds
• c.Taking a full cash distribution
• d.Converting to a Roth and ignoring the tax bill

A direct rollover from a 401(k) to a traditional IRA preserves tax deferral and avoids immediate taxation and withholding. A cash distribution triggers taxes and possible penalties. A Roth conversion is taxable, so the client must plan for that liability.

In building a client profile, which of the following is a NONFINANCIAL consideration?

• a.The client's overall net worth, computed as the sum of all assets minus all outstanding liabilities
• b.The client's total annual gross income from wages, self-employment, bonuses, and other recurring sources
• c.The client's prior investment experience and personal attitude toward taking risk✓
• d.The client's current federal marginal income-tax bracket and any applicable state income taxes

Nonfinancial factors such as age, investment experience, and attitude toward risk shape the profile alongside financial factors (income, net worth, tax bracket). Experience and risk attitude are nonfinancial. A complete suitability profile weighs both categories.

A client's time horizon is best defined as:

• a.The length of time until the client expects to need the invested funds✓
• b.The proportion of the portfolio that can be converted to cash quickly without a meaningful loss
• c.The total dollar amount of income the client currently earns each year before any taxes are applied
• d.The client's emotional willingness to tolerate short-term declines in the market value of the portfolio

Time horizon is the period until the money is needed, distinct from risk tolerance (willingness to bear volatility) and liquidity (ease of converting to cash). A longer horizon generally supports more volatility and equity exposure.

A client has a high emotional willingness to take risk but only a small, fixed income and little savings. The adviser should recognize that the client's risk CAPACITY is:

• a.Low, because limited financial resources reduce the ability to absorb losses✓
• b.Irrelevant, because only the client's stated willingness to take risk should ever determine suitability
• c.Equal to the client's willingness, so an aggressive all-equity portfolio is clearly appropriate for this person
• d.Best measured solely by the client's self-reported comfort with market volatility on a questionnaire

Risk capacity (the financial ability to absorb losses) differs from risk tolerance (the emotional willingness). Suitability generally uses the lower of the two. Limited resources mean low capacity despite high willingness.

A client may face a large, unexpected medical bill within 60 days. In the investment policy, this is primarily a:

• a.Time-horizon consideration that argues for shifting the entire portfolio into long-dated government bonds
• b.Liquidity constraint favoring readily accessible, stable-value holdings✓
• c.Legal constraint that requires the account to be retitled into an irrevocable trust almost immediately
• d.Tax consideration that makes municipal bonds the single most appropriate holding for this client's account

A near-term cash obligation creates a liquidity constraint: the need to convert assets to cash without loss. It calls for stable, accessible holdings rather than volatile or illiquid ones.

An existing client retires and their income drops sharply. Under suitability obligations, the adviser should:

• a.Ignore the change unless the client submits a formal written request to alter the strategy in triplicate
• b.Continue the prior aggressive growth strategy unchanged because the account was suitable when it was first opened
• c.Update the client profile and reassess whether the current allocation still fits✓
• d.Automatically liquidate the entire portfolio to cash and wait indefinitely for the client's further instructions

A material change in circumstances, such as retirement and reduced income, triggers a suitability review and a profile update. Ongoing suitability requires reassessing the allocation against the new situation.

Compared with a retail customer, a large institutional investor such as a pension plan is generally presumed to:

• a.Have identical suitability protections and disclosure requirements as an unsophisticated first-time investor
• b.Have greater capacity to evaluate investment risk independently✓
• c.Require substantially more hand-holding and far more detailed explanations of every basic product feature
• d.Be prohibited from investing in any derivative, alternative, or privately placed securities whatsoever

Institutional investors are presumed more sophisticated, which changes the nature of the suitability analysis. They are generally capable of independently assessing risk, unlike a typical retail customer.

A client states three goals: maximum current income, maximum growth, and complete safety of principal. The adviser should explain that:

• a.These objectives conflict and must be prioritized and traded off against one another✓
• b.Complete safety of principal is guaranteed by any diversified portfolio of common stocks over any time period
• c.Maximum growth and maximum income are really the same objective and can simply be treated as one combined goal
• d.All three objectives can be fully and simultaneously achieved by purchasing a single high-yield junk bond fund

Objectives such as safety, income, and growth involve trade-offs; no single portfolio maximizes all at once. The adviser must help the client prioritize among competing goals.

The primary purpose of documenting a client's financial profile before making recommendations is to:

• a.Establish a reasonable basis that recommendations fit the client's needs✓
• b.Enable the firm to charge the highest possible performance-based fee that is permitted for that type of account
• c.Satisfy a marketing requirement so that testimonials from the client can later be used in the firm's advertising
• d.Shift all responsibility for any investment losses onto the client regardless of what was actually recommended

Profiling creates the reasonable-basis foundation for suitability, documenting that advice fits the client's objectives, risk tolerance, and constraints. It supports suitable recommendations, not fee maximization.

Why can a longer time horizon justify a higher allocation to equities?

• a.More time allows short-term volatility to be smoothed by long-run compounding✓
• b.A longer horizon converts every capital gain into tax-free income under current federal income-tax rules
• c.Equities are legally required to be the majority holding in any account with a horizon of more than ten years
• d.A longer horizon eliminates all market risk entirely and guarantees that equities will not lose value over time

Time diversification: a longer horizon lets compounding work and gives short-term volatility time to average out. It does not eliminate market risk, but it improves the case for equities.

For a 35-year-old saving for retirement in 30 years, an all-cash portfolio is risky primarily because:

• a.Money market funds are legally prohibited from being held for periods longer than five consecutive years
• b.Cash instruments carry very high default risk and are likely to lose their entire principal value over the period
• c.Cash produces large taxable capital gains each year that create an unexpectedly heavy annual tax burden
• d.Inflation erodes purchasing power over long horizons (purchasing-power risk)✓

Over a long horizon, purchasing-power (inflation) risk is the key danger of an all-cash portfolio: real returns can be negative. Growth assets are needed to outpace inflation.

Which objective is BEST served by a portfolio of dividend-paying stocks, high-quality bonds, and REITs?

• a.Complete elimination of interest-rate risk together with total protection against any decline in market value
• b.Current income✓
• c.Aggressive long-term capital appreciation with maximum exposure to early-stage, non-dividend-paying companies
• d.Speculative short-term trading profits earned by frequently buying and selling volatile momentum stocks

Dividend-paying stocks, high-quality bonds, and REITs all generate cash flow, making them well suited to a current-income objective. They are not primarily growth or speculative vehicles.

A risk-tolerance questionnaire labels a client 'aggressive,' but the client became distressed and sold during the last downturn. The adviser should:

• a.Assume the client's earlier panic was irrational and can safely be ignored in constructing the current plan
• b.Weigh the client's actual behavior, which suggests lower true risk tolerance✓
• c.Rely strictly on the questionnaire score and immediately raise the equity allocation to its maximum permitted level
• d.Disregard the client's actual behavior because a signed questionnaire always overrides real-world experience

Demonstrated behavior can reveal true risk tolerance better than a questionnaire. The adviser should reconcile stated and revealed tolerance, leaning toward the more conservative real-world evidence.

A client has a 2-year goal (a home down payment) and a 25-year goal (retirement). The MOST appropriate approach is to:

• a.Fund only the nearer goal now and postpone any retirement investing entirely until the down payment has been spent
• b.Match each goal to its own horizon: conservative assets for the near goal and growth assets for the far one✓
• c.Place every dollar for both goals in short-term cash so that each goal is funded with the maximum possible liquidity
• d.Invest all funds for both goals identically in one aggressive growth portfolio, ignoring the differing horizons, just to keep the account simple to administer

Goal-based (bucketing) planning matches each objective's assets to its time horizon and liquidity needs: conservative for the 2-year goal, growth-oriented for the 25-year goal.

Before implementing a long-term investment plan, a general financial-planning principle is that a client should first:

• a.Concentrate the entire portfolio in a single high-conviction stock to accelerate the accumulation of wealth
• b.Borrow on margin to increase the amount of capital available for immediate investment in growth equities
• c.Establish an adequate emergency cash reserve✓
• d.Purchase the maximum permissible amount of variable annuities to shelter all current income from taxation

The financial-planning pyramid puts an emergency reserve (commonly three to six months of expenses) and debt management before long-term investing. A cushion prevents forced liquidation of investments.

A passive (indexing) investment approach is BEST described as:

• a.Frequently trading securities in an attempt to exploit short-term mispricings and outperform the benchmark index
• b.Selecting only deeply undervalued stocks through intensive fundamental analysis of each individual company
• c.Rotating aggressively among sectors each quarter based on the manager's macroeconomic forecasts and market views
• d.Seeking to match a benchmark index's return at low cost✓

Passive management replicates a benchmark index to match its return with low turnover and low cost. It contrasts with active security selection and market timing.

A critic of active management relying on the efficient market hypothesis would argue that:

• a.Markets are so inefficient that virtually any manager can reliably earn large excess returns with very little effort
• b.After fees, most active managers struggle to consistently beat their benchmark✓
• c.Active managers are guaranteed by regulation to outperform passive index funds over every ten-year measurement period
• d.Index funds are prohibited from being sold to retail investors because they systematically underperform active strategies

The efficient market hypothesis holds that prices reflect available information, so after costs active managers rarely beat the index consistently. This argument supports low-cost indexing.

A value investing style focuses on:

• a.Companies with rapidly rising sales and earnings that trade at high price-to-earnings multiples relative to peers
• b.A fixed replica of a broad market index that is rebalanced only when the index provider changes its components
• c.Stocks trading below their intrinsic worth, often with low P/E or P/B ratios✓
• d.Securities chosen exclusively by their recent price momentum over the trailing three to six months of trading

Value investing seeks securities priced below intrinsic value, typically with low price-to-earnings or price-to-book ratios. It contrasts with growth investing, which pays up for expansion.

A growth investing style is characterized by:

• a.Passive replication of a bond index with periodic rebalancing to maintain a constant target duration
• b.Buying only securities that are currently trading at a steep discount to their stated book value per share
• c.Emphasis on companies with above-average earnings growth, often reinvesting profits rather than paying dividends✓
• d.A strong preference for very high current dividend yields and mature, slow-growing companies concentrated in defensive, low-volatility industries

Growth investing targets firms with above-average earnings growth. Such companies often reinvest earnings instead of paying dividends and tend to trade at higher valuations.

Tactical asset allocation differs from strategic asset allocation because it:

• a.Sets permanent target weights that are never changed regardless of market or broad economic conditions
• b.Requires the client to personally approve every individual trade in writing before it can actually be executed
• c.Completely avoids the use of any equities and instead invests only in federally insured certificates of deposit
• d.Makes shorter-term shifts away from target weights to exploit perceived opportunities✓

Tactical allocation temporarily deviates from strategic targets to exploit short-term opportunities, then reverts. Strategic allocation sets the long-term baseline mix.

A buy-and-hold strategy's main advantages include:

• a.Generating large short-term capital gains each year that happen to be taxed at favorable long-term rates anyway
• b.Lower transaction costs and deferral of taxable capital gains✓
• c.Eliminating all market and interest-rate risk because the securities are simply never sold before their maturity
• d.Guaranteeing that the portfolio will always outperform an actively traded portfolio in every possible market cycle

Buy-and-hold minimizes trading costs and defers capital-gains taxation while reducing timing errors. It does not eliminate market risk or guarantee outperformance.

A 'core-satellite' portfolio construction typically combines:

• a.A low-cost index 'core' with smaller active 'satellite' positions✓
• b.A single balanced mutual fund held for life, with absolutely no other holdings of any kind ever added to it
• c.Only actively managed sector funds, with no low-cost index component included anywhere in the overall portfolio
• d.Exclusively individual small-cap stocks chosen for their maximum speculative short-term appreciation potential

Core-satellite pairs a passive, low-cost core for broad market exposure with smaller active satellite positions that aim to add return. It blends passive and active management.

A contrarian investor tends to:

• a.Always follow the prevailing market consensus and crowd sentiment as closely as it is possibly possible to do
• b.Trade only in the direction of the strongest recent price momentum over the trailing twelve-month time window
• c.Buy assets that are out of favor and sell those that are widely popular✓
• d.Hold a static index fund and never take any position that differs from the benchmark's exact composition

Contrarian investing goes against prevailing sentiment, buying unpopular assets and selling popular ones, betting on mean reversion. It is the opposite of momentum following.

Studies of portfolio returns commonly conclude that the largest driver of a diversified portfolio's variability over time is:

• a.The individual security-selection decisions made within each asset class by the portfolio's manager
• b.The specific brokerage firm selected to custody the assets and to execute the portfolio's transactions
• c.The precise day and time at which each individual security order happens to be entered into the market
• d.The overall asset allocation among stocks, bonds, and cash✓

Research generally finds that asset-allocation policy, the mix of stocks, bonds, and cash, explains most of the variability of portfolio returns over time, more than security selection or market timing.

Combining two assets with a correlation coefficient of -1.0 would:

• a.Have no effect whatsoever on the combined portfolio's total risk relative to holding either asset by itself
• b.Increase the portfolio's total volatility above the weighted average of the two assets' standard deviations
• c.Allow risk to be reduced to zero in the right proportion, since the two assets move perfectly oppositely✓
• d.Guarantee a higher expected return than either of the two assets could ever produce individually on its own

A correlation of -1.0 means the assets move perfectly opposite, so a properly weighted combination can eliminate volatility. Lower correlation improves the diversification benefit.

Two assets have a correlation coefficient of +1.0. Combining them in a portfolio will:

• a.Completely eliminate the unsystematic risk associated with each of the two individual securities being held
• b.Create a portfolio whose expected return is far greater than either of the two assets could achieve alone
• c.Reduce the portfolio's standard deviation well below the weighted average of the two assets' standard deviations
• d.Provide no diversification benefit, since the assets move in perfect lockstep✓

Perfectly positively correlated (+1.0) assets move together, so combining them yields portfolio risk equal to the weighted average, producing no diversification benefit.

As more securities are added to a diversified stock portfolio, unsystematic risk:

• a.Declines with diminishing benefit, approaching the market's systematic risk✓
• b.Remains completely unchanged, because diversification has no measurable effect on a portfolio's total risk
• c.Increases steadily without any limit until it eventually dominates the entire risk of the overall portfolio
• d.Is fully eliminated after adding exactly two securities drawn from the very same industry sector as the first

Adding securities reduces unsystematic (diversifiable) risk with diminishing returns, approaching the floor of systematic (market) risk, which cannot be diversified away.

Adding international equities to a U.S.-only portfolio is primarily intended to:

• a.Convert the portfolio's dividends into completely tax-free income under current U.S. federal income-tax rules
• b.Improve diversification through exposure to markets that may not move in step with the U.S.✓
• c.Guarantee higher returns every single year because foreign markets always outperform the U.S. market over time
• d.Eliminate currency risk entirely and remove all exposure to foreign political and economic developments

International diversification adds assets with imperfect correlation to domestic markets, potentially improving the risk-return tradeoff. It also introduces currency and political risk.

Systematic rebalancing back to target weights tends to:

• a.Maximize returns by always shifting the entire portfolio into whichever asset class happened to rise most last year
• b.Enforce selling relatively high and buying relatively low✓
• c.Guarantee that the portfolio will never experience a loss in any calendar quarter at any point going forward
• d.Increase overall portfolio risk by allowing the single best-performing asset class to grow without any limit

Rebalancing trims outperforming asset classes and adds to underperformers, imposing a buy-low/sell-high discipline and controlling the drift of portfolio risk away from targets.

Holding 15 different large-cap U.S. equity mutual funds that own broadly similar stocks is an example of:

• a.A barbell fixed-income strategy that has simply been applied to the equity portion of the client's overall portfolio
• b.An ideal, fully diversified portfolio that has successfully eliminated both systematic and unsystematic risk entirely
• c.Redundant overlap that adds cost without meaningfully improving diversification✓
• d.A tax-loss-harvesting strategy specifically designed to offset a large amount of ordinary income each and every year

Owning many funds with overlapping holdings ('diworsification') adds fees and complexity without real diversification benefit. True diversification requires low-correlation exposures.

Portfolio X returns 8% with a standard deviation of 12%. Portfolio Y returns 8% with a standard deviation of 16%. A rational, risk-averse investor would say portfolio X:

• a.Is inferior to Y, because taking on additional standard deviation always leads to superior long-run investment outcomes
• b.Cannot be compared to Y without first knowing each portfolio's current dividend yield and its total expense ratio
• c.Is identical to Y in every respect that could possibly matter to a risk-averse investor comparing the two choices
• d.Dominates Y, since it offers the same return with less risk✓

With equal expected return, the lower-standard-deviation portfolio (X) dominates and lies closer to the efficient frontier. Risk-averse investors prefer less risk per unit of return.

A portfolio holds 60% in Stock A (expected return 12%) and 40% in Bond B (expected return 5%). The portfolio's expected return is:

• a.9.2%✓
• b.17.0%, found by simply adding the two expected returns together without applying any portfolio weights
• c.11.2%, because the higher-returning asset should dominate the calculation of the blended expected return
• d.8.5%, found by taking a simple unweighted average of the two individual assets' expected returns

Portfolio expected return is a weighted average: 0.60 x 12% + 0.40 x 5% = 7.2% + 2.0% = 9.2%. Multiply each weight by its return and sum.

A portfolio is 70% in a fund with a beta of 1.4 and 30% in a fund with a beta of 0.6. The portfolio's beta is:

• a.2.00, found by simply adding the two individual betas together without weighting them by portfolio value
• b.1.00, since beta always defaults to the market beta of one for any reasonably diversified equity portfolio
• c.0.98, found by taking a simple average of the two betas without regard to their respective portfolio weights
• d.1.16✓

Portfolio beta is a weighted average of the component betas: 0.70 x 1.4 + 0.30 x 0.6 = 0.98 + 0.18 = 1.16.

Using CAPM, if the risk-free rate is 3%, the expected market return is 10%, and a stock's beta is 1.2, the stock's required return is:

• a.8.4%, calculated by multiplying the stock's beta by the market's total expected return of ten percent
• b.13.0%, calculated by simply adding the market return to the product of the beta and the risk-free rate
• c.15.0%, calculated by adding the risk-free rate, the market return, and the beta all together directly
• d.11.4%✓

CAPM: required return = Rf + beta x (Rm - Rf) = 3% + 1.2 x (10% - 3%) = 3% + 1.2 x 7% = 3% + 8.4% = 11.4%.

A portfolio's CAPM-expected return is 11%, but it actually returned 13%. Its alpha is:

• a.+2%✓
• b.0%, because a portfolio's realized return and its CAPM-expected return are, by definition, always equal to each other
• c.-2%, indicating that the manager destroyed value relative to what the model would have predicted for the period
• d.+24%, found by adding the expected return and the actual realized return together into a single combined figure

Alpha = actual return - CAPM-expected return = 13% - 11% = +2%. A positive alpha indicates outperformance versus the risk-adjusted expectation.

A portfolio returns 12%, the risk-free rate is 2%, and the portfolio's standard deviation is 8%. Its Sharpe ratio is:

• a.10.0, computed by subtracting the risk-free rate from the return without dividing by any measure of risk at all
• b.1.25✓
• c.0.17, computed by dividing the risk-free rate of two percent by the portfolio's standard deviation of eight
• d.1.50, computed by dividing the portfolio's total return of twelve percent by its standard deviation of eight

Sharpe ratio = (Rp - Rf) / standard deviation = (12% - 2%) / 8% = 10 / 8 = 1.25. It measures excess return per unit of total risk.

Fund A has a Sharpe ratio of 0.9; Fund B has a Sharpe ratio of 0.6. This indicates that:

• a.Fund A necessarily carries a higher standard deviation than Fund B and is therefore the riskier of the two funds
• b.The two funds are equally attractive on a risk-adjusted basis despite their clearly different Sharpe ratios
• c.Fund B produced a higher total return than Fund A over the measurement period that is being compared here
• d.Fund A delivered more return per unit of total risk✓

A higher Sharpe ratio means more excess return per unit of total risk (standard deviation). Fund A is more efficient on a risk-adjusted basis than Fund B.

A portfolio has an expected return of 8% and a standard deviation of 10%. Assuming returns are normally distributed, about 68% of annual outcomes should fall between:

• a.0% and 16%, reflecting a range of roughly two full standard deviations around the expected annual return
• b.-2% and 18%✓
• c.-12% and 28%, reflecting a range of roughly three full standard deviations around the expected annual return
• d.6% and 10%, reflecting a range of only about one-fifth of a standard deviation on each side of the mean

About 68% of outcomes lie within plus or minus one standard deviation: 8% +/- 10% = -2% to 18%. Roughly 95% lie within two standard deviations.

A U.S. Treasury bill used as the risk-free asset has a beta of:

• a.Undefined, because beta simply cannot be calculated for any fixed-income instrument under the CAPM framework
• b.0✓
• c.1.0, exactly the same beta as the overall market portfolio against which every other asset's beta is measured
• d.Greater than 1.0, because short-term government debt is actually more volatile than the broad equity market

The risk-free asset has zero systematic risk, so its beta is 0. By comparison, the overall market portfolio has a beta of 1.0.

Under CAPM, an investor is compensated with a higher expected return for bearing:

• a.Unsystematic risk, the company-specific risk that can be substantially eliminated through broad diversification
• b.Liquidity risk arising from holding securities that are difficult to sell quickly at a fair current market price
• c.Systematic (market) risk, as measured by beta✓
• d.Total risk, including both the diversifiable and the non-diversifiable components of risk combined together

CAPM holds that only systematic (non-diversifiable) risk, measured by beta, is rewarded. Unsystematic risk can be diversified away and therefore earns no risk premium.

Adding a risk-free asset to the risky portfolios on the efficient frontier creates:

• a.A region below the frontier consisting entirely of inefficient and clearly dominated investment portfolios
• b.A single point representing the only portfolio that any rational investor could ever reasonably choose to hold
• c.The capital market line, a straight line from the risk-free rate through the market portfolio✓
• d.A downward-curving line demonstrating that adding the risk-free asset actually increases the total risk and lowers the expected return of every combined portfolio

Combining the risk-free asset with the optimal risky (market) portfolio produces the capital market line, a straight risk-return tradeoff superior to the efficient frontier alone.

The correlation coefficient between two assets can range:

• a.From 0 to 100, expressed as a whole-number percentage of the shared movement between the two different assets
• b.From -1.0 to +1.0✓
• c.From 0 to positive 1.0 only, since two different assets can never move in genuinely opposite directions at all
• d.From negative infinity to positive infinity, depending on the magnitude of each asset's annual investment returns

Correlation ranges from -1.0 (perfectly opposite) to +1.0 (perfectly together), with 0 meaning no linear relationship. Lower correlation improves diversification.

Two investors both choose portfolios on the efficient frontier but pick different points on it. The best explanation is that they:

• a.Are using different benchmarks and therefore cannot both actually be on the same efficient frontier at the same time
• b.Must have different time horizons that force one of them to hold only cash and other short-term instruments
• c.Have different risk tolerances✓
• d.Made an error, because only one single portfolio on the entire efficient frontier can ever be correct for anyone

All portfolios on the efficient frontier are efficient; where an investor sits depends on personal risk tolerance and utility. More risk-averse investors select lower-risk points.

A criticism of standard deviation as a risk measure is that it:

• a.Cannot be calculated at all for any portfolio that happens to hold more than one asset class at the same time
• b.Always understates true risk because it completely ignores the historical returns of the securities being measured
• c.Is mathematically identical to beta and therefore provides investors with no additional information beyond beta
• d.Treats upside and downside volatility the same, though investors mainly fear the downside✓

Standard deviation penalizes upside and downside movements equally, while investors chiefly fear downside. Measures such as the Sortino ratio use downside deviation instead.

Which bond has the GREATEST interest-rate (price) risk, all else equal?

• a.A 5-year bond with a floating coupon that resets to prevailing market rates every three months automatically
• b.A 1-year Treasury bill, because the shortest maturities react most sharply to any change in prevailing rates
• c.A 2-year note with a high coupon, since higher coupons always increase a bond's price sensitivity to interest rates
• d.A 30-year zero-coupon bond✓

Interest-rate risk rises with duration. A long-maturity zero-coupon bond has the highest duration (no interim cash flows) and therefore the greatest price sensitivity to rate changes.

Purchasing-power (inflation) risk is MOST damaging to which holding?

• a.A diversified portfolio of common stocks held for several decades across multiple full business cycles
• b.A long-term fixed-rate bond✓
• c.A commodity fund whose value tends to increase during periods of accelerating consumer price inflation
• d.A Treasury Inflation-Protected Security whose principal is adjusted upward as the consumer price index rises

Inflation (purchasing-power) risk most harms long-term fixed-rate bonds, whose fixed payments lose real value. Stocks, TIPS, and commodities offer some inflation protection.

Reinvestment risk is the danger that:

• a.Inflation will steadily erode the real purchasing power of the fixed coupon payments over the bond's entire life
• b.Rising interest rates will cause the market price of a currently held long-term bond to fall sharply before maturity
• c.A bond issuer will default on its scheduled interest payments and ultimately fail to return the investor's principal
• d.Coupon or principal proceeds must be reinvested at lower rates than the original✓

Reinvestment risk is that cash flows (coupons or maturing principal) must be reinvested at lower prevailing rates, reducing total return. Zero-coupon bonds avoid coupon reinvestment risk.

Credit (default) risk is BEST described as the risk that:

• a.Broad stock-market declines will reduce the value of the entire portfolio regardless of the specific holdings owned
• b.The issuer fails to make timely interest or principal payments✓
• c.The investor will be unable to sell the security quickly without accepting a substantial concession on its price
• d.Prevailing market interest rates will rise and push the price of an outstanding bond below its original par value

Credit/default risk is the chance an issuer cannot meet its interest or principal obligations. It is highest for low-rated (junk) issuers, and rating agencies assess it.

An investor in a thinly traded, non-listed limited partnership faces significant:

• a.Systematic risk that could easily be diversified away simply by adding a few more units of the same partnership
• b.Interest-rate risk that will force the partnership to mark all of its underlying holdings to market value every day
• c.Reinvestment risk requiring the frequent reinvestment of large coupon payments at unpredictable future rates
• d.Liquidity risk✓

Liquidity (marketability) risk is the difficulty of selling an asset quickly at a fair price. Non-listed partnerships and private placements are illiquid and hard to exit.

Which of the following is a form of SYSTEMATIC risk?

• a.The risk that one firm's management team makes a strategic error that harms only that particular company's stock
• b.The risk that a single issuer is downgraded by the rating agencies following a poor quarterly earnings report
• c.Market risk affecting nearly all securities at once✓
• d.The risk that a specific company's new product launch fails and that company's share price consequently falls

Systematic risk (market, interest-rate, inflation, currency) affects broad markets and is non-diversifiable. The other choices describe unsystematic, company-specific risks.

A U.S. investor holding unhedged European stocks faces currency risk, meaning returns can fall if:

• a.The European companies decide to increase the dividend payments they make to their shareholders during the year
• b.The stocks are added to a widely followed European equity index and thereby attract new institutional buyers
• c.U.S. interest rates decline while European corporate earnings simultaneously rise over the same holding period
• d.The euro weakens against the U.S. dollar✓

Currency (exchange-rate) risk: for a U.S. investor, a decline in the foreign currency (the euro) against the dollar reduces the dollar value of returns. Hedging can offset it.

The risk that a change in tax law removes the federal tax exemption on certain municipal bonds is an example of:

• a.Default risk, stemming from the issuing municipality's deteriorating financial condition and weakening credit rating
• b.Interest-rate risk, caused by a broad rise in market yields across the entire fixed-income market at the same time
• c.Legislative (political) risk✓
• d.Reinvestment risk, arising from having to reinvest maturing bond proceeds at unexpectedly lower prevailing yields

Legislative/political risk is the danger that new laws or regulations adversely affect an investment, such as altering the favorable tax treatment of municipal bond interest.

Using the Rule of 72, approximately how long will it take money to double at an 8% annual compound return?

• a.About 9 years✓
• b.About 12 years, found by dividing the interest rate of eight into a constant value of ninety-six
• c.About 5.6 years, found by dividing the interest rate of eight into a constant value of one hundred
• d.About 15 years, found by multiplying the interest rate of eight by a constant value of roughly two

Rule of 72: years to double is approximately 72 / rate = 72 / 8 = 9 years. The rule estimates doubling time at a given compound rate of return.

Using the Rule of 72, what approximate annual return is needed to double an investment in 6 years?

• a.About 12%✓
• b.About 18%, found by adding the six-year doubling period to a Rule-of-72 constant value of about twelve
• c.About 8%, found by dividing the number of years into a modified constant value of roughly forty-eight instead
• d.About 6%, found by subtracting the six-year doubling period from the Rule-of-72 constant value of seventy-two

Rule of 72: rate is approximately 72 / years = 72 / 6 = 12%. Rearranging the rule solves for the compound return required to double in a given time.

An investor deposits $10,000 at a 10% annual compound return for 3 years. The approximate future value is:

• a.$13,310✓
• b.$11,000, found by applying the 10% return only one single time rather than compounding it over three years
• c.$30,000, found by multiplying the original ten-thousand-dollar deposit by the three-year holding period directly
• d.$13,000, found by adding simple interest of one thousand dollars for each of the three years that were invested

Future value = PV x (1 + r)^n = 10,000 x (1.10)^3 = 10,000 x 1.331 = $13,310. Compounding applies the return to the accumulated balance each year.

What is the approximate present value of $20,000 to be received in 2 years, discounted at 5% annually?

• a.$18,000, found by simply subtracting a flat 10% from the future value rather than discounting it each year
• b.$22,050, found by adding two years of 5% growth to the future amount instead of discounting it back to today
• c.$19,048, found by discounting the future amount for only one single year at the five-percent discount rate
• d.$18,141✓

Present value = FV / (1 + r)^n = 20,000 / (1.05)^2 = 20,000 / 1.1025 = $18,141. A higher discount rate or a longer horizon lowers the present value.

For a given stated annual rate, increasing the compounding frequency from annual to monthly will:

• a.Reduce the future value of a deposit, because interest ends up being credited in smaller individual increments
• b.Increase the effective annual yield✓
• c.Leave the effective annual yield completely unchanged, since the stated annual rate is the only figure that matters
• d.Decrease the effective annual yield, because more frequent compounding spreads the interest out more thinly over time

More frequent compounding raises the effective annual yield (and the future value) because interest starts earning interest sooner. Effective yield exceeds the nominal rate as frequency rises.

An investor contributes $5,000 at the end of each year for 30 years. Compared with contributing the same total amount all at once at year 30, the annual-contribution plan will:

• a.Accumulate more, because earlier contributions compound for longer✓
• b.Accumulate exactly the same amount, since the total dollars contributed over time are identical under both plans
• c.Accumulate less, because spreading the contributions out over many years actually reduces the total interest earned
• d.Produce a guaranteed loss, because annual investing exposes each separate contribution to additional market risk

By the time value of money, earlier contributions compound longer, so a stream of annual contributions accumulates more than a single lump sum deposited at the end of the period.

If inflation averages 3% per year, approximately how long until the purchasing power of a dollar is cut in half?

• a.About 33 years, found by dividing a constant value of one hundred by the three-percent annual inflation rate
• b.About 3 years, which would mean that the general price level roughly doubles every three years at 3% inflation
• c.About 24 years✓
• d.About 48 years, found by multiplying the three-percent inflation rate by a constant value of sixteen instead

The Rule of 72 applies to inflation: 72 / 3 = 24 years for purchasing power to halve (for prices to double). It illustrates purchasing-power risk over long horizons.

An investment's internal rate of return (IRR) is the discount rate at which:

• a.The net present value of all cash flows equals zero✓
• b.The investment's coupon rate becomes exactly equal to the prevailing risk-free rate available in the market
• c.The total undiscounted cash inflows happen to equal exactly twice the amount of the initial cash outflow
• d.The investment's future value exactly equals its stated par or face value at the final scheduled maturity date

IRR is the discount rate that makes the net present value of an investment's cash flows equal zero. It is compared with the required return to judge whether to accept the investment.

A portfolio earns a nominal 7% while inflation is 3%. The approximate real rate of return is:

• a.About 2.3%, found by dividing the inflation rate by the nominal return that was earned during the same period
• b.About 21%, found by multiplying the nominal return by the annual rate of consumer price inflation for the year
• c.About 10%, found by adding the inflation rate to the nominal return that was earned by the portfolio that year
• d.About 4%✓

Real return is approximately nominal return minus inflation = 7% - 3% = 4% (the exact Fisher calculation gives about 3.9%). It reflects the true gain in purchasing power.

$1,000 invested at 7% compounded annually grows to about $1,967 after 10 years. After 20 years it will be worth approximately:

• a.$3,934, found by simply doubling the ten-year future value because the number of years has itself doubled exactly
• b.$3,870✓
• c.$2,400, found by adding another ten years of simple interest at seven percent onto the ten-year future value
• d.$1,967, because compound growth stops once an investment has already doubled from its original starting amount

Future value = 1,000 x (1.07)^20 = about 1,000 x 3.87 = $3,870. Doubling the horizon more than doubles the value because compounding accelerates over time.

Two zero-coupon bonds both pay $1,000 at maturity in 10 years. Bond X is discounted at 4% and Bond Y at 8%. Which has the higher present value (price) today?

• a.Bond Y, because a higher discount rate always produces a higher present value for a given future payment amount
• b.Bond X✓
• c.Neither can be valued, because the present value of a zero-coupon bond cannot be computed without a coupon rate
• d.They have identical present values, since both bonds ultimately pay the exact same one-thousand-dollar face amount

A lower discount rate produces a higher present value, so Bond X (4%) is worth more today than Bond Y (8%). Present value and the discount rate move inversely.

A client wants a quick estimate of how many years it takes to double at a 9% annual return. The best estimate is:

• a.About 12 years, found by subtracting the nine-percent return from a constant value of twenty-one instead
• b.About 8 years✓
• c.About 4 years, found by dividing the nine-percent return into a constant value of roughly thirty-six instead
• d.About 6 years, found by dividing the nine-percent return into a modified constant value of about fifty-four

Rule of 72: 72 / 9 = 8 years to double. The rule provides a fast mental estimate of the compound doubling time at a given return.

A bond has a modified duration of 6. If interest rates rise by 1%, the bond's price will approximately:

• a.Remain unchanged, because modified duration measures only the timing of the bond's periodic coupon cash flows
• b.Rise by about 6%, because higher prevailing interest rates increase the market value of an existing fixed-rate bond
• c.Fall by about 6%✓
• d.Fall by about 1%, because the percentage price change simply matches the size of the change in the interest rate

Approximate price change is roughly minus modified duration times the change in yield = -6 x 1% = -6%. Prices fall as rates rise, scaled by duration.

A bond portfolio has a duration of 8. If interest rates fall by 0.5%, the portfolio's value will approximately:

• a.Rise by about 4%✓
• b.Remain flat, because a duration of 8 would fully offset any half-percent move in prevailing market interest rates
• c.Rise by about 0.5%, because the percentage price change simply equals the size of the change in interest rates
• d.Fall by about 4%, because falling interest rates generally reduce the market value of previously issued bonds

Price change is roughly minus duration times the change in yield = -8 x (-0.5%) = +4%. Falling rates raise bond prices, magnified by the portfolio's duration.

A barbell bond strategy concentrates holdings in:

• a.Intermediate maturities clustered tightly around the portfolio's single average duration target, with nothing else
• b.Only floating-rate notes whose coupons reset to prevailing short-term rates every ninety-day period automatically
• c.Short-term and long-term maturities, with little in between✓
• d.A single long-term maturity chosen specifically to maximize the portfolio's overall yield to maturity at any cost

A barbell concentrates in short and long maturities while avoiding intermediates, blending the liquidity and lower rate risk of short bonds with the higher yield of long bonds.

A bullet bond strategy involves:

• a.Spreading maturities as evenly as possible across many consecutive years so that a roughly equal portion of the portfolio matures every year
• b.Concentrating maturities around a single target date to fund a known future liability✓
• c.Continuously trading bonds to profit from very small short-term movements in prevailing market interest rates
• d.Splitting the portfolio between only the very shortest and the very longest maturities available on the market

A bullet clusters maturities near one date, useful for funding a specific future obligation. A ladder spreads maturities evenly, while a barbell uses the two extremes.

Portfolio immunization seeks to protect a bond portfolio from interest-rate risk by:

• a.Buying the highest-yielding junk bonds available to maximize income regardless of their assigned credit ratings
• b.Matching the portfolio's duration to the investor's time horizon✓
• c.Frequently trading bonds to time interest-rate movements and repeatedly capture small short-term capital gains
• d.Investing only in Treasury bills so that the portfolio never holds any single security longer than one year at a time

Immunization matches portfolio duration to the investment horizon so that price risk and reinvestment risk offset each other, locking in a target return over that horizon.

Positive convexity in a bond is desirable because, for a large change in yields, it means:

• a.The bond's duration will stay perfectly constant no matter how far interest rates move in either direction at all
• b.The issuer is legally obligated to redeem the bond early at a premium whenever market rates decline meaningfully
• c.The bond's coupon rate will automatically rise whenever prevailing market interest rates increase sharply overall
• d.Prices rise more when rates fall than they fall when rates rise by the same amount✓

Positive convexity means the price-yield relationship curves favorably: gains from falling rates exceed losses from equal-sized rising rates. It refines the linear duration estimate.

'Riding the yield curve' is a strategy in which an investor, in an upward-sloping yield-curve environment:

• a.Buys a longer bond and sells it before maturity as it 'rolls down' to a lower yield and a higher price✓
• b.Buys only the shortest available Treasury bills and then rolls them over continuously as each one matures in turn
• c.Holds every bond all the way to its final stated maturity date and simply collects each scheduled coupon along the way, never selling any bond early
• d.Immediately sells any bond whose credit rating is downgraded by a major nationally recognized rating agency

Riding (rolling down) the yield curve buys a longer-maturity bond and sells it later as its remaining maturity shortens, capturing price gains when the curve is upward-sloping.

A bond with a 5% coupon and $1,000 par is trading at $800. Its current yield is:

• a.6.25%✓
• b.5.00%, because the current yield of a bond is always equal to its stated annual coupon rate whatever the price
• c.4.00%, found by multiplying the coupon rate of five percent by the discounted market price of eight hundred
• d.8.00%, found by dividing the bond's discounted market price by its annual coupon payment instead of the reverse

Current yield = annual coupon / market price = $50 / $800 = 6.25%. Buying a bond below par raises its current yield above the stated coupon rate.

For a bond trading at a premium above par, the correct ordering of yields from lowest to highest is:

• a.Yield to maturity, then current yield, then nominal coupon yield, arranged from the very lowest up to the highest
• b.All three yields are exactly equal to one another whenever a bond happens to trade at any price other than par
• c.Yield to maturity, current yield, nominal (coupon) yield✓
• d.Current yield, then nominal coupon yield, then yield to maturity, arranged from the very lowest up to the highest

For a premium bond: yield to maturity is less than current yield, which is less than the nominal (coupon) yield. For a discount bond, this ordering reverses.

To fund a child's college tuition due in exactly 12 years, which bond choice best eliminates reinvestment risk?

• a.A money market fund that is rolled over continuously until the tuition payment finally comes due in twelve years
• b.A zero-coupon bond maturing in 12 years✓
• c.A portfolio of high-coupon corporate bonds whose semiannual interest payments must be reinvested as they arrive
• d.A bond ladder that staggers maturities across the next twelve years and reinvests the proceeds of each maturing rung

A zero-coupon bond pays no interim coupons, so there is nothing to reinvest, eliminating reinvestment risk and locking in a known maturity value for the target date.

During the year a client realizes $8,000 of long-term capital gains and $3,000 of long-term capital losses. The net capital gain is:

• a.$0, because capital gains and capital losses of the same character always fully cancel one another out completely
• b.$5,000 long-term gain✓
• c.$3,000, which is the maximum net capital loss a taxpayer may deduct against ordinary income in a single tax year
• d.$11,000, found by adding the capital gains and the capital losses together rather than netting them against each other

Gains and losses of the same character net against each other: $8,000 - $3,000 = $5,000 net long-term capital gain, which is taxed at the preferential long-term rate.

A client has a net capital loss of $9,000 for the year and no capital gains. On this year's return the client may deduct against ordinary income:

• a.The full $9,000, since a net capital loss is always fully deductible against ordinary income in the year it occurs
• b.$3,000, carrying the remaining $6,000 forward to future years✓
• c.$4,500, which is exactly one-half of the total net capital loss that was realized during the current tax year
• d.$0, because capital losses can offset only capital gains and can never offset any amount of ordinary income at all

Net capital losses offset ordinary income up to $3,000 per year, and the excess ($6,000) carries forward indefinitely to offset future gains or income.

A municipal bond yields 4% tax-free. For an investor in the 25% federal tax bracket, the taxable-equivalent yield is:

• a.3.00%, found by reducing the four-percent municipal yield by the investor's twenty-five-percent marginal tax bracket
• b.5.00%, found by multiplying the four-percent municipal yield by the investor's marginal tax bracket of twenty-five
• c.5.33%✓
• d.4.25%, found by simply adding the investor's marginal tax bracket directly onto the municipal bond's tax-free yield

Taxable-equivalent yield = tax-free yield / (1 - tax rate) = 4% / (1 - 0.25) = 4% / 0.75 = 5.33%. It lets a muni be compared with taxable bonds.

A municipal bond yields 3.5% tax-free. For an investor in the 32% bracket, the taxable-equivalent yield is approximately:

• a.2.38%, found by reducing the municipal yield by the investor's thirty-two-percent marginal federal income-tax bracket
• b.3.82%, found by simply adding the investor's thirty-two-percent tax bracket directly to the municipal bond's yield
• c.4.20%, found by dividing the municipal yield by the investor's marginal tax bracket of thirty-two percent instead
• d.5.15%✓

Taxable-equivalent yield = 3.5% / (1 - 0.32) = 3.5% / 0.68 = 5.15%. A higher tax bracket raises the taxable-equivalent yield, making munis more attractive.

A corporate bond yields 6%. For an investor in the 30% bracket, the after-tax yield is:

• a.2.00%, found by dividing the corporate bond's six-percent yield by the investor's marginal tax bracket of thirty
• b.6.00%, because interest income from a corporate bond is exempt from federal income tax just like a municipal bond
• c.7.80%, found by adding the investor's thirty-percent tax bracket onto the corporate bond's stated pre-tax yield
• d.4.20%✓

After-tax yield = taxable yield x (1 - tax rate) = 6% x (1 - 0.30) = 6% x 0.70 = 4.20%. This can then be compared with a municipal bond's tax-free yield.

An investor in the 35% bracket compares a 4% municipal bond with a 6% corporate bond. Which is better after tax, and why?

• a.The corporate bond, because its stated 6% yield is simply higher than the municipal bond's stated 4% yield before tax
• b.The muni, because its taxable-equivalent yield of about 6.15% exceeds the corporate's 6%✓
• c.They are identical after tax, because both bonds ultimately provide the investor with the same after-tax income stream
• d.The corporate bond is clearly better, because municipal bond interest is actually fully taxable at the investor's top ordinary income rate in every state

The muni's taxable-equivalent yield = 4% / (1 - 0.35) = 6.15%, which beats the 6% corporate. Bonds must be compared on an equivalent after-tax basis.

Which action would trigger the wash-sale rule and disallow a loss?

• a.Selling a stock at a loss and instead buying a different company operating in an entirely unrelated industry sector
• b.Selling a bond at a loss and then purchasing a completely unrelated common stock roughly two months afterward
• c.Buying the same stock 20 days BEFORE selling other shares of it at a loss✓
• d.Selling a stock at a loss and then waiting a full 45 days before repurchasing that very same company's shares again

The wash-sale rule applies to purchases of substantially identical securities within 30 days before or after the loss sale, including a purchase made before the sale.

An investor sells 100 shares at a $500 loss that is disallowed under the wash-sale rule, then holds the replacement shares bought for $4,000. The replacement shares' adjusted basis is:

• a.$3,500, found by reducing the replacement cost of the shares by the amount of the disallowed capital loss on the sale
• b.$4,000, because a disallowed wash-sale loss has no effect at all on the cost basis of the replacement shares held
• c.$500, which equals only the disallowed loss itself and ignores the actual price paid for the replacement shares
• d.$4,500✓

A disallowed wash-sale loss is added to the replacement shares' basis: $4,000 + $500 = $4,500. This defers the loss until the replacement shares are eventually sold.

A donor gifts stock (original cost $10,000) now worth $15,000. The recipient later sells it for $18,000. The recipient's cost basis for computing the gain is generally:

• a.$0, because gifts are received completely free of any tax basis, making the entire sale price a taxable gain
• b.$10,000 (the donor's carryover basis)✓
• c.$18,000, which is simply the price at which the recipient eventually sold the shares in the open market
• d.$15,000, the fair market value of the stock on the date that the gift was actually made to the recipient

For gifted securities sold at a gain, the recipient generally uses the donor's carryover basis ($10,000), producing an $8,000 gain. Inherited property instead gets a stepped-up basis.

An investor inherits stock the decedent had bought for $20,000; it is worth $50,000 on the date of death. The heir's cost basis is generally:

• a.$50,000 (stepped up to date-of-death value)✓
• b.$35,000, which is the average of the decedent's original cost basis and the fair market value on the date of death
• c.$0, because inherited property is treated as having no cost basis and is therefore fully taxable when later sold
• d.$20,000, the decedent's original purchase price, which simply carries over unchanged to the heir who inherits it

Inherited securities generally receive a stepped-up basis equal to fair market value at the date of death ($50,000), so the decedent's prior appreciation escapes income tax.

For a dividend to be a 'qualified dividend' taxed at long-term capital-gains rates, the investor generally must:

• a.Reinvest the dividend automatically rather than receiving it as cash in the brokerage account where it was paid
• b.Meet a minimum holding-period requirement around the ex-dividend date✓
• c.Purchase the shares directly from the issuing corporation rather than on a national securities exchange or market
• d.Hold the underlying stock for at least five full years before the dividend is declared by the company's board

Qualified dividends require satisfying a holding-period test (more than 60 days within the 121-day window around the ex-dividend date) and payment by a qualified corporation.

Which of the following is generally the MOST tax-efficient 'asset location' decision?

• a.Placing the fastest-growing, highest-return equities inside a traditional IRA so that all of the growth is eventually taxed later as ordinary income
• b.Holding tax-inefficient bonds in tax-deferred accounts and tax-efficient stocks in taxable accounts✓
• c.Keeping every asset class in taxable accounts so that losses can always be harvested against ordinary income each year
• d.Holding tax-free municipal bonds inside a traditional IRA in order to layer a second tax advantage on top of the first, even though the interest was already exempt

Asset location places tax-inefficient, income-generating assets (bonds) in tax-deferred accounts and tax-efficient assets (long-term stocks) in taxable accounts. Munis in an IRA waste the exemption.

A traditional 401(k) contribution made through payroll:

• a.Reduces current taxable income, with withdrawals taxed later as ordinary income✓
• b.Can be withdrawn at any age with no tax and no penalty, simply because the money was originally earned through work
• c.Is never subject to any required minimum distributions at all during the account owner's entire lifetime whatsoever
• d.Is made with after-tax dollars, so that all qualified withdrawals taken in retirement later come out completely tax-free

Traditional 401(k) contributions are pre-tax, reducing current taxable income. Withdrawals in retirement are taxed as ordinary income, and required minimum distributions eventually apply.

For earnings in a Roth IRA to be withdrawn completely tax-free, the account generally must satisfy:

• a.A requirement that every contribution be made only in those years in which the account owner happened to have no wage or self-employment income whatsoever
• b.A five-year holding period and that the owner be 59.5 (or another qualifying event)✓
• c.A rule prohibiting any withdrawal of contributions at all until the account owner finally reaches the age of seventy-three
• d.A requirement that the account first be converted from a traditional IRA at least one full year before any withdrawal

Qualified tax-free Roth earnings require a five-year holding period plus a qualifying event (age 59.5, death, disability, or a first-home purchase). Contributions can always be withdrawn tax-free.

'Catch-up' contributions to IRAs and 401(k) plans are additional amounts allowed for individuals who are:

• a.Earning below a specified low income threshold that is set annually by the Internal Revenue Service for that year
• b.Age 50 or older✓
• c.Self-employed individuals who do not have access to any employer-sponsored retirement plan of any kind at all
• d.First-time investors who have never previously contributed to any tax-advantaged retirement account before this year

Catch-up contributions let individuals age 50 and older contribute above the standard annual limit to IRAs and 401(k) plans, helping accelerate late-career retirement saving.

Required minimum distributions from a traditional IRA generally must begin:

• a.At age 73 under current law✓
• b.Immediately upon retirement, regardless of the account owner's actual age at the time they stop working entirely
• c.At age 65, coinciding with the age at which most individuals first become eligible to enroll in Medicare coverage
• d.At age 59.5, which is also the age at which the 10% early-withdrawal penalty on distributions no longer applies

Under SECURE 2.0, required minimum distributions from a traditional IRA begin at age 73. A Roth IRA has no RMDs during the original owner's lifetime.

Converting pre-tax traditional IRA assets to a Roth IRA:

• a.Is always completely tax-free, because both accounts are individual retirement arrangements under the federal tax code
• b.Is strictly prohibited for anyone whose income happens to exceed the annual limit for direct Roth IRA contributions
• c.Triggers an automatic 10% early-withdrawal penalty on the entire converted amount regardless of the owner's age
• d.Is a taxable event, adding the converted amount to ordinary income in the year of the conversion✓

A Roth conversion is taxable: pre-tax amounts converted are added to ordinary income for that year. Future qualified Roth withdrawals are then tax-free, and no income limit applies to conversions.

A key advantage of a 529 college-savings plan over a Coverdell ESA is that the 529 plan generally:

• a.Requires no beneficiary to be named, so the account owner may simply keep all of the funds indefinitely for themselves
• b.Guarantees a fixed minimum investment return that is backed by the full faith and credit of the U.S. government
• c.Allows the funds to be withdrawn completely tax-free for any purpose at all, including ordinary household living expenses
• d.Permits much higher total contributions✓

A 529 plan allows substantially higher total contributions than a Coverdell ESA, which has a low annual cap. Both offer tax-free growth for qualified education expenses.

Assets held in an UGMA/UTMA custodial account:

• a.Are completely exempt from all taxation, because they are held in the name of a minor child rather than an adult
• b.Belong irrevocably to the minor and pass to their control at the age of majority✓
• c.Can be reclaimed by the donor at any time and freely used for the donor's own personal expenses without restriction
• d.Remain the permanent legal property of the custodian and never transfer to the minor under any circumstances at all

UGMA/UTMA gifts are irrevocable; the minor legally owns the assets, which pass to the minor's control at the age of majority. Earnings may be subject to the 'kiddie tax.'

An investor takes an indirect (60-day) rollover distribution from a 401(k). A key pitfall is that:

• a.The plan must withhold 20% for taxes, which the investor must replace to roll over the full amount✓
• b.The rollover must be completed within just 24 hours of receiving the check, or else the entire distribution immediately becomes taxable ordinary income
• c.The investor may complete an unlimited number of such indirect rollovers within any single rolling twelve-month period
• d.Indirect rollovers are completely prohibited, and the only method ever permitted is a direct trustee-to-trustee transfer

Employer plans must withhold 20% on an indirect rollover. To roll over the full balance within 60 days, the investor has to make up the withheld amount from other funds; a direct rollover avoids this.

Under a commonly cited '4% rule,' a retiree with a $1,000,000 portfolio could plan to withdraw an initial annual amount of about:

• a.$100,000, an amount equal to 10% of the portfolio that is designed to exhaust the assets over exactly ten years
• b.$4,000, which represents only about four-tenths of one percent of the retiree's total accumulated portfolio value
• c.$400,000, after which the entire portfolio would be fully depleted at the end of the very first year of retirement
• d.$40,000✓

The 4% guideline suggests an initial withdrawal of 4% of the portfolio: 4% x $1,000,000 = $40,000, adjusted for inflation thereafter, aiming to sustain income over a long retirement.

A qualified retirement plan under ERISA is characterized by:

• a.Pre-tax contributions and tax-deferred growth, subject to nondiscrimination rules✓
• b.No limit whatsoever on annual contributions and no requirement ever to distribute the accumulated funds at any age
• c.Complete freedom for the employer to provide plan benefits only to its highest-paid executives and business owners
• d.After-tax contributions that then produce fully taxable distributions of both principal and earnings at retirement

Qualified (ERISA) plans offer pre-tax contributions and tax-deferred growth, and they must satisfy nondiscrimination and coverage rules that protect rank-and-file employees.

An investor buys a stock at $50, receives $2 in dividends, and sells it at $54. The total return is:

• a.12%✓
• b.4%, counting only the two-dollar dividend as a percentage of the original fifty-dollar purchase price of the stock
• c.20%, found by adding the four-dollar price gain and the two-dollar dividend onto an incorrect cost-basis figure
• d.8%, counting only the capital appreciation from fifty to fifty-four and completely ignoring the dividend received

Total return = (price change + income) / cost = ($4 + $2) / $50 = $6 / $50 = 12%. It captures both price appreciation and income.

An investment gains 21% in total over a 3-year holding period. Its approximate annualized (compound) return is:

• a.63%, found by simply multiplying the total holding-period return of twenty-one percent by the three years it was held
• b.About 7%✓
• c.21%, because the total holding-period return and the annualized return are always exactly the same regardless of years
• d.10.5%, found by dividing the total three-year return of twenty-one percent by two rather than by three years instead

Annualized return = (1.21)^(1/3) - 1, which is about 6.6%, roughly 7%. The compound annual figure is less than the simple total divided by the number of years.

A fund reports a 9% nominal return in a year when inflation was 4%. Its real return is closest to:

• a.36%, found by multiplying the fund's nominal return by the year's rate of consumer price inflation for the period
• b.2.25%, found by dividing the fund's nominal return by the year's rate of consumer price inflation instead of subtracting
• c.About 5%✓
• d.13%, found by simply adding the year's inflation rate onto the fund's nominal return for the same period instead

Real return is approximately nominal return minus inflation = 9% - 4% = 5%. It reflects the gain in purchasing power after accounting for inflation.

To evaluate a portfolio MANAGER's skill independent of the timing of client cash flows, the preferred measure is:

• a.The nominal coupon yield of whichever individual bonds happen to be held within the portfolio at the very year end
• b.The time-weighted return✓
• c.The simple average of only the beginning and ending account values over the full measurement period being studied
• d.The dollar-weighted return, which is heavily influenced by the timing and the size of client deposits and withdrawals

Time-weighted return removes the effect of client cash-flow timing, isolating the manager's performance. Dollar-weighted return (an IRR) instead reflects the investor's own timing decisions.

A large-cap U.S. equity fund returned 15% while its benchmark, the S&P 500, returned 18%. The most accurate assessment is that the fund:

• a.Matched its benchmark almost exactly, since both the fund and the index produced returns somewhere in the mid-teens
• b.Outperformed its benchmark, because any positive double-digit return is by definition a strong result for an equity fund
• c.Cannot be judged at all, because a fund's return should never be compared against any market index whatsoever ever
• d.Underperformed its benchmark by 3 percentage points✓

Performance is judged relative to an appropriate benchmark: 15% versus 18% is 3 percentage points of underperformance. Selecting a suitable benchmark is essential to the comparison.

Two index funds track the same benchmark; Fund A charges 0.05% and Fund B charges 0.75%. Over time, Fund A will most likely:

• a.Perform identically to Fund B, because a fund's expense ratio has no measurable effect on its net return to investors
• b.Outperform Fund B by roughly the difference in fees✓
• c.Outperform Fund B by exactly 0.75%, which is the full amount of the more expensive fund's total annual expense ratio
• d.Underperform Fund B, because a higher expense ratio reliably signals superior active management and better stock picking

For funds tracking the same index, net return differs mainly by cost. Lower expenses (0.05% versus 0.75%) give roughly a 0.70-percentage-point annual edge that compounds over time.

The Treynor ratio measures a portfolio's excess return per unit of:

• a.Systematic risk, as measured by beta✓
• b.Total risk, as measured by the portfolio's standard deviation of returns over the full measurement period being studied
• c.Unsystematic risk, the company-specific risk that can be substantially reduced through adequate portfolio diversification
• d.Liquidity risk, reflecting how quickly the portfolio's holdings could be sold without a significant concession on price

The Treynor ratio divides excess return (over the risk-free rate) by beta, measuring reward per unit of systematic risk. The Sharpe ratio instead uses total risk (standard deviation).

Fund X returned 14% with a standard deviation of 20%; Fund Y returned 10% with a standard deviation of 8%. The risk-free rate is 2%. Which statement is best supported?

• a.Fund X is clearly and unambiguously superior, because a higher raw total return always indicates better overall performance no matter how much risk was taken to achieve it
• b.Fund Y has the higher Sharpe ratio (1.0 vs 0.6), indicating better risk-adjusted performance✓
• c.The two funds are essentially identical on a risk-adjusted basis, because higher returns will always exactly compensate for the higher risk that produced them
• d.Fund Y is clearly the inferior choice, simply because its total return of ten percent is lower than Fund X's total return of fourteen percent

Sharpe X = (14 - 2) / 20 = 0.6; Sharpe Y = (10 - 2) / 8 = 1.0. Fund Y earns more return per unit of total risk despite its lower raw return.

A bond fund advertises a '6% distribution yield,' but its share price fell during the year. An investor should understand that:

• a.A distribution yield and a total return are really the same measure and will therefore always produce the identical figure
• b.The 6% distribution yield fully guarantees a minimum 6% total return no matter what happens to the fund's share price
• c.A decline in the fund's share price has no bearing whatsoever on the investor's actual total return for the same year
• d.Total return also reflects price changes, so it can be lower than the distribution yield✓

Total return equals income (the yield) plus price change. A high distribution yield can be offset by price declines, so total return may end up well below the stated yield.

A client needs their portfolio to at least preserve purchasing power. If inflation is 3%, the MINIMUM nominal return required just to break even in real terms is:

• a.About 3%✓
• b.About 1.5%, representing roughly one-half of the annual rate of consumer price inflation for the year being considered
• c.About 6%, which represents double the annual inflation rate in order to provide a comfortable margin of safety over prices
• d.0%, because simply avoiding any nominal loss of the original principal is enough to fully preserve real purchasing power

To merely preserve purchasing power, the nominal return must at least equal inflation (about 3%), leaving a real return near zero. Beating inflation requires earning more than that.