Series 66 Client Recommendations and Strategies Practice Questions

  1. Question 1

    Under Modern Portfolio Theory, a portfolio that lies on the 'efficient frontier' is best described as one that:

    • A. Is diversified across every asset class available in the market
    • B. Guarantees the highest possible return regardless of the risk level assumed
    • C. Contains only risk-free assets, eliminating standard deviation entirely
    • D. Offers the maximum expected return for a given level of risk, or equivalently, the minimum risk for a given level of expected return
    Show answer and explanation

    Correct answer: D. Offers the maximum expected return for a given level of risk, or equivalently, the minimum risk for a given level of expected return

    The efficient frontier is the set of portfolios that provide the best possible tradeoff between risk and expected return: for any given level of risk (standard deviation), no other combination of assets produces a higher expected return, and for any given expected return, no other combination produces lower risk. Portfolios below the frontier are considered inefficient because a better risk/return combination exists.

    • A. Incorrect — efficient frontier portfolios are optimally diversified for their risk/return tradeoff, but that doesn't require holding every available asset class.
    • B. Incorrect — no portfolio guarantees the highest possible return regardless of risk; the efficient frontier represents an optimal risk/return tradeoff, not a risk-free guarantee.
    • C. Incorrect — the efficient frontier includes portfolios with varying levels of risk assets, not just risk-free holdings, and doesn't eliminate standard deviation.
    • D. Correct — under Modern Portfolio Theory, the efficient frontier is the set of portfolios offering the highest expected return for a given risk level, or equivalently the lowest risk for a given expected return.
  2. Question 2

    A portfolio produced an average annual return of 11% with a standard deviation of 8%. The risk-free rate during the period averaged 3%. What is the portfolio's Sharpe ratio?

    • A. 0.50
    • B. 8.00
    • C. 1.00
    • D. 1.375
    Show answer and explanation

    Correct answer: C. 1.00

    Sharpe ratio = (Portfolio Return - Risk-Free Rate) / Standard Deviation = (11% - 3%) / 8% = 8/8 = 1.00. Choice C results from dividing the raw return by the standard deviation without first subtracting the risk-free rate.

    • A. Incorrect — 0.50 doesn't match the calculation using the given return, standard deviation, and risk-free rate figures.
    • B. Incorrect — 8.00 mistakes the numerator, 8%, for the final ratio without dividing by the standard deviation.
    • C. Correct — Sharpe ratio = (11% − 3%) ÷ 8% = 8 ÷ 8 = 1.00.
    • D. Incorrect — 1.375 would result from dividing by the wrong denominator or a similar miscalculation, not from (return minus risk-free rate) divided by standard deviation.
  3. Question 3

    An IAR is considering adding a second equity fund to a client's portfolio, which currently holds only a large-cap growth fund, in order to reduce overall volatility. Historical data show the candidate fund's returns have a correlation coefficient of +0.95 with the existing fund. Which statement is most accurate?

    • A. Correlation coefficients are irrelevant to diversification; only the total number of holdings in the portfolio matters
    • B. Adding the fund will substantially reduce portfolio volatility, because it holds a different set of underlying securities
    • C. A correlation of +0.95 indicates the two funds' returns tend to move in opposite directions, providing strong diversification benefit
    • D. Because the correlation is close to +1.0, adding the fund will provide minimal diversification benefit, since the two funds tend to move in the same direction at nearly the same time
    Show answer and explanation

    Correct answer: D. Because the correlation is close to +1.0, adding the fund will provide minimal diversification benefit, since the two funds tend to move in the same direction at nearly the same time

    Diversification benefit comes from combining assets whose returns do not move in lockstep. A correlation coefficient of +0.95 is very close to the maximum value of +1.0, meaning the two funds' returns are highly synchronized — when one rises or falls, the other tends to do the same, by a similar magnitude. Simply holding different securities does not guarantee diversification if the underlying return patterns are highly correlated; true risk reduction requires assets with low or negative correlation.

    • A. Incorrect — correlation between holdings' returns is central to diversification benefit; simply increasing the number of holdings without regard to correlation does not meaningfully reduce risk.
    • B. Incorrect — a correlation of +0.95 means the funds' returns move almost in lockstep, so adding the second fund would not substantially reduce volatility despite holding different underlying securities.
    • C. Incorrect — a correlation of +0.95 is strongly positive, meaning returns move together in the same direction, not opposite directions as this choice claims.
    • D. Correct — with correlation near +1.0, the two funds' returns move together almost identically, so combining them offers little diversification benefit despite being two distinct funds.
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  5. Question 4

    A client holds 500 shares of stock currently trading at $40 and wants to limit her downside risk without selling the position today. Which order would MOST directly accomplish this goal?

    • A. A buy limit order at $35
    • B. A sell limit order at $45
    • C. A market order to sell immediately
    • D. A sell stop order at $35
    Show answer and explanation

    Correct answer: D. A sell stop order at $35

    A sell stop order placed below the current market price becomes a market order to sell if the stock falls to (or through) the stop price, protecting the client from further downside without requiring an immediate sale today.

    • A. A buy limit order is used to purchase shares at a favorable price, not to protect an existing long position from downside risk.
    • B. A sell limit order at $45 is placed above the current price to lock in gains on the upside, not to protect against a decline.
    • C. A market order to sell immediately liquidates the position now, which contradicts her goal of not selling today.
    • D. Correct: a sell stop order at $35 triggers a market sell if the price falls to that level, directly limiting downside risk while letting her keep the position today.

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