Series 66 Practice Exam

Answer: C
The cost of the Series 66 exam is $177. The remaining figures are distractors and do not represent the official fee.

Answer: A
Although either joint owner may generally trade, changes to address and disbursement instructions are a classic elder-abuse and account-takeover pattern, so firms apply heightened verification and commonly require both owners to authorize them. Silent processing followed by delayed notification defeats the control's purpose.

Answer: C
Exercising discretion without documented authority beyond the limited grace period is an enumerated unethical practice, alongside unsuitable recommendations, churning, misrepresenting qualifications, borrowing from clients and failing to disclose conflicts. Disclosed hourly fees, no-load recommendations and declining an unsuitable engagement are all proper conduct.

Answer: D
Custody turns on the ability to obtain possession of client assets, so trading authority alone does not create it. Deducting advisory fees directly from the account, serving as trustee, or holding client login credentials that permit transfers generally do. Independent custodian statements sent directly to clients are a control against misappropriation rather than a source of custody.

Answer: A
For an ongoing advisory relationship, the duty of care includes providing advice that remains suitable over time, which requires periodic updating of the client's objectives, circumstances and risk profile. A material life event such as divorce, job loss or inheritance is precisely the trigger for reassessment rather than something to await a client request about.

Answer: B
Sponsors of wrap fee programs must deliver a specific wrap brochure, Form ADV Part 2A Appendix 1, because the bundled structure creates distinct conflicts: an adviser paid a flat fee has an incentive to trade less, and the client may pay for execution capacity they do not use. Suitability of the wrap structure itself must be evaluated for each client.

Answer: A
Steering a large purchase into a share class with no breakpoint and higher continuing distribution fees increases the investor's total cost and can increase the representative's compensation, a conflict regulators pursue directly. The suitability analysis must compare total cost over the client's expected holding period across available classes.

Answer: B
Reportable customer complaints, arbitrations and civil suits meeting the disclosure criteria require timely Form U4 amendment, generally within 30 days of learning of the event, so the information appears in public disclosure records. Reporting is triggered by the allegation meeting the criteria, not by an eventual finding of liability.

Answer: A
State rules treat an adviser that collects substantial fees, commonly more than 500 dollars, six or more months in advance as holding client funds in a sense, and require an audited or unaudited balance sheet with the ADV filing plus compliance with minimum net worth conditions. The concept tested is that prepayment carries financial-responsibility consequences.

Answer: A
Bunching orders can lower costs, but it must operate under a disclosed written policy allocating fills fairly, typically at the average execution price, with partial fills allocated pro rata. Cherry-picking, assigning favorable executions to preferred or proprietary accounts after the fact, is a serious violation and a recurring enforcement theme.

Answer: D
The antifraud provisions reach any device, scheme or artifice to defraud and any materially untrue statement or omission in connection with the offer or sale, so the misstatement itself is the violation whether or not the client acts. Investment losses, competitive pricing and declining engagements outside one's competence are not fraud.

Answer: A
Hedge clauses that suggest a client has waived non-waivable rights of action are misleading and prohibited, because federal and state securities law rights cannot be waived. Client initials do not cure it, since the defect is the misleading impression the clause creates rather than the absence of consent.

Answer: B
Regulation S-P requires privacy notices and, through its safeguards provision, written policies to protect customer records against unauthorized access and to dispose of consumer report information properly. Regulation SHO governs short sales, Regulation M addresses distribution manipulation, and Regulation T sets margin credit terms.

Answer: A
Replacing an annuity commonly triggers a surrender charge, restarts a multi-year surrender schedule and can forfeit accrued living or death benefit guarantees. A Section 1035 exchange addresses income tax deferral only and says nothing about suitability, so the adviser must compare costs and features and document why the replacement benefits the client.

Answer: A
Records advisers are required to make and keep are subject to examination by the Administrator at any time, without client consent or a subpoena, and obstructing an examination is itself a violation. Confidentiality obligations to clients do not override the regulator's inspection authority over required records.

Answer: A
The code of ethics rule requires a standard of business conduct, compliance with securities laws, reporting of personal holdings and transactions by access persons, pre-approval of investments in initial public offerings and limited offerings, and prompt internal reporting of violations. It regulates personal trading rather than banning it.

Answer: C
Compensation that varies with the product recommended is a material conflict requiring full and fair disclosure, whoever pays it. The fiduciary standard requires informed consent, which a client cannot give without knowing the incentive. Waiting to be asked is not disclosure, and quietly declining the bonus does not address the proprietary product conflict itself.

Answer: B
The marketing rule requires that gross performance never be shown without net performance presented with at least equal prominence and calculated over the same period and methodology, with prescribed time periods. Cherry-picking a single favorable account and presenting undisclosed hypothetical results are both prohibited as misleading.

Answer: A
Misstating professional designations, qualifications, experience or the nature of services is a prohibited practice and is treated seriously because clients rely on credentials in choosing an adviser. Intent to recertify is irrelevant, and using a lapsed mark also typically violates the certifying body's own rules.

Answer: A
The duty of care requires advice with a reasonable basis in light of the client's objectives and circumstances, tested at the time the advice is given. Subsequent performance does not cure an unsuitable recommendation; a strategy inconsistent with a stated income and low-volatility objective is a breach whether it makes money or loses it.

Answer: A
A power of attorney and discretionary authority granted by an individual terminate on that person's death, so continuing to trade afterward is unauthorized. The adviser freezes discretionary activity, obtains a death certificate and letters of appointment, and takes direction only from the executor or administrator once appointed.

Answer: B
Paid endorsements and solicitations require clear and prominent disclosure of the compensation and any material conflicts, generally a written agreement with the promoter, adviser oversight of compliance, and disqualification screening. Very small compensation arrangements have reduced conditions, but disclosure of the paid relationship remains the core requirement.

Answer: C
Email accounts are routinely compromised, so a matching address proves nothing, and replying by email reaches whoever controls the inbox. Out-of-band verification using contact details already on file is the standard control, and a first-time overseas wire to a new destination is among the highest-risk patterns a firm encounters.

Answer: A
Advisory contracts must state the services, the formula for compensation, the term, and provide that no assignment occurs without client consent, with notice of changes in partnership membership where applicable. Hedge clauses purporting to waive client rights are prohibited, and any provision waiving compliance with the securities laws is void.

Answer: A
A trustee has authority over trust assets, which constitutes custody and triggers qualified custodian, notice and surprise examination obligations. It also layers trust fiduciary duties owed to beneficiaries on top of advisory duties and creates a conflict where the adviser both selects and is paid for the investment management.

Answer: A
The de minimis standard exempts an adviser with no place of business in the state that has had no more than five non-institutional clients there in the preceding twelve months. Opening an office in the state defeats it regardless of client count, and no exemption ever reaches the antifraud provisions.

Answer: B
Diversification reduces unsystematic (company- or industry-specific) risk by spreading exposure across many holdings, but it cannot remove systematic (market) risk, which affects the market as a whole and cannot be diversified away.

Answer: B
Entity accounts require documentation establishing who may act: a corporate resolution, partnership agreement or LLC operating agreement, together with beneficial ownership information under AML rules. Title alone does not confer authority, and accepting instructions from an undocumented officer exposes the firm to liability if the transaction is later disputed.

Answer: A
A general partnership passes income through to the partners and exposes each to unlimited joint liability. A C corporation provides limited liability but is taxed at the entity level, creating double taxation on dividends. An LLC combines pass-through taxation with limited liability, and a limited partnership must have at least one general partner with unlimited liability.

Answer: A
Distributions before age 59 and a half generally incur ordinary income tax plus a 10 percent additional tax unless an exception applies, such as disability, substantially equal periodic payments, certain medical expenses or a first-time home purchase up to the statutory limit. The 50 percent figure historically related to failing to take a required minimum distribution, a different penalty.

Answer: C
Best execution requires seeking the most favorable terms reasonably available under the circumstances, weighing price, speed, likelihood of execution, settlement reliability and total cost. It is not a mandate to pay the lowest commission, and advisers must periodically and systematically evaluate the brokers they use against alternatives.

Answer: A
When a client directs brokerage, the adviser may be unable to negotiate rates, aggregate the client's orders with others, or select the venue offering the best terms, and the client may therefore receive worse execution or pay more. The adviser must disclose these consequences so the direction is an informed choice.

Answer: A
Deductibility phases out based on modified adjusted gross income when the taxpayer or spouse is covered by an employer plan. Without such coverage the deduction is generally available regardless of income. Age affects the catch-up contribution amount rather than deductibility, and the custodian type is irrelevant.

Answer: A
A simple trust must distribute all income currently, makes no charitable contributions and distributes no principal in the year. A complex trust may accumulate income, distribute principal or make charitable gifts. A grantor trust is one where the grantor retains sufficient control that its income is taxed to the grantor personally.

Answer: A
A buy limit sets a ceiling and executes at the limit or better, meaning lower, but may not execute at all if the price never reaches it. A buy stop sits above the market and is used to enter on a breakout or to protect a short position. Limit orders control price and risk non-execution; market orders guarantee execution and risk price.

Answer: A
Loss aversion makes realizing a loss psychologically costly, and anchoring fixes the client on the purchase price as the reference point rather than the position's forward prospects. Recognizing the pattern lets the adviser reframe the decision around whether the client would buy the position today, which is the economically relevant question.

Answer: A
A 529 plan provides tax-free growth and withdrawals for qualified education expenses, allows the account owner to retain control and to change the beneficiary to another family member, and permits front-loading several years of annual exclusion gifts. A UTMA is irrevocable and vests in the minor, and a Roth IRA requires the beneficiary to have earned income.

Answer: A
A revocable living trust avoids probate and provides incapacity management, but retained power to revoke means the grantor never gave up control, so the assets remain in the gross estate. An irrevocable trust properly structured can remove assets from the estate, which is the trade-off: estate exclusion in exchange for surrendering control.

Answer: D
Risk capacity is objective: time horizon, income stability, liquidity needs, existing assets and the consequences of falling short. Risk tolerance is psychological willingness to endure volatility. The two frequently diverge, and the binding constraint is whichever is lower, since a client who can afford risk but panics and sells will not realize the expected return.

Answer: A
Gifted property carries over the donor's basis for computing gain, so the built-in appreciation transfers with the asset. A special dual-basis rule applies where the asset has declined: for computing a loss, the basis is the lower of carryover basis or fair market value at the gift date. Inherited property, by contrast, gets a step-up.

Answer: A
ERISA imposes duties of loyalty and prudence measured against a prudent expert familiar with such matters, requires acting for the exclusive benefit of participants and beneficiaries, mandates diversification and prohibits specified transactions with parties in interest. It is a demanding standard layered on top of the adviser's own fiduciary duty.

Answer: A
The C corporation pays corporate tax and shareholders pay again on dividends, the classic double taxation. An S corporation election passes income, losses, deductions and credits through to shareholders, avoiding entity-level tax, but imposes eligibility limits on the number and type of shareholders and permits only one class of stock.

Answer: A
A UTMA gift is irrevocable and belongs to the minor, who receives control at the statutory age. There may be only one custodian and one minor per account, and the custodian, not the minor, directs the account until transfer. Assets are also counted as the student's on financial aid formulas, which weighs against UTMA for education funding.

Answer: A
Wash sale rules disallow a loss when a substantially identical security is repurchased within the restricted window, and repurchasing inside an IRA is treated even more harshly because the disallowed loss cannot later be added to the IRA's cost basis, effectively losing the tax benefit permanently; this is not a guaranteed refund strategy, is not unrestricted, and the concern applies regardless of whether the fund tracks an index.

Answer: A
A margin account permits a client to borrow funds from the broker-dealer to purchase securities, using the securities in the account as collateral for the loan, which allows leveraged buying power; a cash account requires full payment for purchases, a discretionary account concerns trading authority rather than borrowing, and an omnibus account is a broker-level pooled account structure, neither of which describes purchasing on borrowed funds.

Answer: B
Joint tenants with right of survivorship provides that upon the death of one owner, that owner's interest passes automatically to the surviving joint owner outside of probate; tenants in common instead allows a deceased owner's share to pass to their estate rather than the co-owner, and the other options describe custodial or single-owner arrangements that do not fit a two-party account with survivorship.

Answer: A
A market order instructs the broker to execute immediately at the best price currently available, prioritizing speed of execution over a specific price; a limit order sets a specific price threshold, a stop order becomes a market order only once a trigger price is reached, and good-till-canceled describes an order's duration rather than its execution type.

Answer: A
Income-related monthly adjustment amounts add a surcharge to Medicare Part B and Part D premiums for higher-income beneficiaries, and the determination typically looks back to modified adjusted gross income from an earlier tax year, so a past spike from a Roth conversion can raise premiums years later. The distractor claiming the surcharge is permanent and non-appealable is incorrect, since beneficiaries can request reconsideration after certain life-changing events such as retirement or loss of income. The surcharge is not tied specifically to Roth conversions, nor to which Medicare plan type is chosen.

Answer: A
Tenancy by the entirety is a form of ownership available only to married couples that requires the consent of both spouses before the property can be transferred or encumbered and that automatically passes to the surviving spouse at the first spouse's death. Tenants in common, the tempting distractor, allows each owner to transfer or encumber his or her own interest unilaterally and carries no automatic survivorship feature, the opposite of the protections described here. Joint tenancy without survivorship rights is not a recognized standard form, and a transfer-on-death deed is a separate, unilateral instrument.

Answer: D
An appropriate performance benchmark should closely match the portfolio's asset class, investment style, and risk profile, so a broad large-cap U.S. equity index is the fair comparison here. A small-cap international index, the most tempting wrong answer, might seem like a reasonable market benchmark, but its very different market capitalization, geography, and risk characteristics make it economically meaningless for judging this manager's results. The client's personal inflation rate and the risk-free rate serve other purposes but are not equity performance benchmarks.

Answer: A
Dollar-cost averaging involves investing a fixed dollar amount at regular intervals regardless of price, which mathematically results in purchasing more shares when prices are low and fewer when prices are high, potentially lowering the average cost per share over time. Tactical asset allocation is a plausible-sounding alternative, but it refers to shifting the mix between asset classes based on market opportunities, not the systematic, price-independent timing of periodic purchases into the same investment described here.

Answer: B
Because municipal bond interest is typically exempt from federal income tax, the appropriate comparison is the bond's tax-equivalent (after-tax) yield against a comparable taxable bond, which is especially meaningful for investors in higher tax brackets.

Answer: A
Preferred stock generally pays a fixed dividend and holds a senior claim to common stock on dividends and on assets in the event of liquidation, while common stock typically carries voting rights and residual claims.

Answer: B
A short-term, high-credit-quality debt instrument generally has lower price volatility and lower credit risk, aligning with a conservative investor's goal of preserving principal while accepting a modest return. The other choices carry substantially higher risk of principal loss.

Answer: B
A zero-coupon bond makes no periodic interest payments; it is purchased at a discount to par and the investor's return is the difference between the discounted purchase price and the face value received at maturity.

Answer: A
In a variable annuity, the contract owner bears investment risk because the account value and the eventual payout vary with the performance of the underlying subaccounts, unlike a fixed annuity where the insurer guarantees a set rate.

Answer: B
A call option gives the buyer the right, but not the obligation, to purchase the underlying stock at the strike price before expiration. If the option expires worthless, the buyer's loss is limited to the premium paid for the option.

Answer: B
A mutual fund's NAV per share equals the total value of the fund's assets, less its liabilities, divided by the number of shares outstanding. Open-end fund shares are priced at NAV (plus any applicable sales charge).

Answer: B
The longer a bond's maturity, the longer the stream of fixed cash flows exposed to discounting. A change in market interest rates therefore has a larger cumulative effect on the bond's present value, making longer-maturity bonds more price-sensitive (greater interest-rate risk) than otherwise comparable shorter-maturity bonds.

Answer: B
Interest-rate risk is the risk that a bond's market price will decline when prevailing interest rates rise, because existing bonds with lower coupons become less attractive relative to newly issued bonds.

Answer: D
ETFs trade like stocks throughout the session, so they carry bid-ask spreads and can trade at premiums or discounts to NAV, and they support margin and short sales. Mutual fund orders receive the next computed NAV. The creation and redemption mechanism operates between the sponsor and authorized participants, not retail investors.

Answer: A
Life insurance death proceeds are generally excluded from the beneficiary's gross income. That is an income tax rule, not an estate tax rule: if the insured owned the policy or held incidents of ownership, the proceeds are still includable in the gross estate, which is why an irrevocable life insurance trust is a common planning structure.

Answer: D
Variable life and variable universal life pass investment risk to the policyholder, making them securities as well as insurance contracts, so a producer must hold both an insurance license and the appropriate securities registration. Whole life and traditional universal life have insurer-guaranteed elements and are insurance products only.

Answer: A
An immediate annuity converts a lump sum into guaranteed lifetime income, and a cost of living rider addresses purchasing power erosion, at the cost of a lower starting payment and loss of liquidity. Variable subaccounts and equity concentration reintroduce market risk, and zero-coupon bonds pay nothing until maturity, providing no income at all.

Answer: A
A front-end load is deducted at purchase and is reduced at breakpoints as investment size increases, with a letter of intent or rights of accumulation allowing an investor to reach a breakpoint. A contingent deferred sales charge applies at redemption and declines with holding period. Failing to apply available breakpoints is a well-known sales practice violation.

Answer: A
Hedge funds rely on private placement exemptions, restrict participation to accredited investors or qualified purchasers, impose lock-ups and redemption gates, and charge management plus performance fees. They may use leverage, derivatives and short selling. The transparency and daily liquidity of a registered fund are precisely what they do not offer.

Answer: A
A straight life or life-only payout produces the highest income because the insurer's obligation ends at the annuitant's death with nothing to beneficiaries. Adding a period certain, a refund feature or a joint and survivor provision each reduces the payment in exchange for continuing benefits. This trade-off is central to a retirement income recommendation.

Answer: A
A DPP passes income, gains, losses and credits through to investors without entity-level tax, and a limited partner's liability is generally limited to the amount invested provided they do not participate in management. The general partner bears unlimited liability. DPP interests are typically illiquid with restricted transferability, which is a central suitability concern.

Answer: A
TIPS adjust their principal value based on changes in the Consumer Price Index, which helps preserve the investor's purchasing power as inflation rises; they are backed by the U.S. government so default risk is minimal, and the inflation adjustment feature does not specifically address liquidity or reinvestment concerns.

Answer: B
Duration approximates a bond fund's price sensitivity to interest rate changes, so a fund with a longer duration of 7 years will see a proportionally larger price swing for a given change in rates than a fund with a shorter duration of 3 years; duration is not equivalent to reacting identically across funds, and the fund with the shorter duration is actually the less rate-sensitive one.

Answer: B
When rates fall well below a bond's coupon, the issuer has a strong incentive to call the bond and refinance at a lower rate, leaving the investor to reinvest proceeds in a lower-rate environment; the other risks listed relate to inflation, changes in law, or currency exposure, none of which is the primary concern created by a falling-rate, premium-priced callable bond.

Answer: A
Because REITs must pass through most of their taxable income to retain favorable tax status, they tend to generate meaningful current income for investors; REITs commonly do own real estate directly, many trade on exchanges, and their distributions are generally taxable, not tax-free, so those alternatives misstate REIT characteristics.

Answer: A
ETFs trade on an exchange throughout the day at prices that fluctuate with market supply and demand, unlike open-end mutual funds, which transact only once daily at the calculated net asset value; a UIT and a CD do not offer the intraday, market-priced trading flexibility the client is seeking.

Answer: D
The minimum guaranteed interest rate in a fixed annuity ensures the contract value grows by at least that stated floor rate regardless of how the insurer's general account performs, protecting the owner from receiving an unacceptably low crediting rate; it does not address how long the owner will live, how easily funds can be accessed, or the separate concern of insurer solvency.

Answer: A
Because the conversion feature gives bondholders potential upside tied to the issuer's stock price, convertible bonds are generally priced with a lower coupon than a comparable straight bond, compensating investors with equity-like appreciation potential instead of a higher fixed income stream; the other statements misdescribe how convertibles trade, whether they can be called, and how they pay income.

Answer: C
General obligation bonds are secured by the issuer's pledge to use its taxing power to make debt service payments, while revenue bonds rely on income generated by a specific revenue-producing project, such as a toll road or utility, making the source of repayment the key distinction between the two structures.

Answer: D
Present value answers what amount today grows to a known future sum at a given rate over a given period, which is the standard goal-funding calculation. Future value runs the other direction. Internal rate of return solves for the rate that equates cash flows, and net present value evaluates a series of cash flows against an initial outlay.

Answer: B
About 68 percent of outcomes fall within one standard deviation of the mean, so the range is 7 minus 12 to 7 plus 12, or negative 5 to positive 19 percent. Two standard deviations covers roughly 95 percent, giving negative 17 to positive 31 percent. Framing volatility this way makes an abstract statistic concrete for a client.

Answer: A
Real return approximates nominal return minus inflation, so 12 minus 4 gives about 8 percent of genuine purchasing power gain. The precise calculation divides one plus the nominal rate by one plus inflation and subtracts one, which yields about 7.7 percent, but the subtraction approximation is standard for client discussion.

Answer: B
An inverted yield curve occurs when short-term yields exceed long-term yields, often signaling that investors expect slower growth or falling rates ahead; a normal curve slopes upward because investors typically demand more yield for tying up money longer, so the scenario described does not match that shape.

Answer: B
Two consecutive quarters of GDP decline is a commonly cited indicator of recession, and renewed growth immediately afterward signals that the economy has passed its low point and entered a recovery or expansion phase, rather than remaining in contraction or reaching a cyclical peak.

Answer: A
Raising the reserve requirement forces banks to hold a larger portion of deposits in reserve rather than lending them out, which reduces the money multiplier and shrinks the amount of money circulating in the economy; the other outcomes describe the opposite effect or an unrelated mechanism.

Answer: B
Portfolio A's Sharpe ratio is (14% minus 2%) divided by 20%, equaling 0.60, while Portfolio B's is (10% minus 2%) divided by 10%, equaling 0.80; since the Sharpe ratio measures excess return per unit of standard deviation, Portfolio B delivered more compensation for each unit of risk despite its lower absolute return. Favoring Portfolio A for its higher 14% return overlooks that this return came with proportionally far greater volatility, so on a risk-adjusted basis it compensated investors less efficiently.

Answer: A
The quick ratio excludes less-liquid inventory from current assets before dividing by current liabilities: ($600,000 minus $150,000) divided by $300,000 equals $450,000 divided by $300,000, or 1.5, a more conservative liquidity measure than the current ratio. The 2.0 figure is actually the current ratio ($600,000 divided by $300,000), which includes inventory in the numerator and can overstate a company's ability to meet short-term obligations quickly if that inventory is slow-moving or hard to sell.

Answer: B
The current ratio is calculated as current assets divided by current liabilities: $450,000 divided by $300,000 equals 1.5, meaning the company holds $1.50 of current assets for every $1.00 of current liabilities coming due within the year. The 0.67 figure results from inverting the formula, dividing current liabilities by current assets instead, which measures a different relationship entirely and would actually understate the company's short-term liquidity position rather than correctly describe it.

Answer: C
A beta of 1.4 means the stock has historically moved about 1.4 times as much as the market in the same direction, so a 10% market gain implies an expected stock move of roughly 14% (10% times 1.4). The 10% choice ignores beta entirely, effectively treating the stock as if it had a beta of 1.0 and moved in lockstep with the market, an assumption that discards the amplified sensitivity to market swings that a beta above 1.0 is specifically meant to measure.

Answer: B
A correlation coefficient of -0.85 is close to -1, indicating a strong negative, or inverse, relationship: the two asset classes tend to move in opposite directions most of the time, which is exactly why combining them can reduce overall portfolio volatility. The no-relationship choice would only apply to a coefficient near zero, not one this far from zero; a reading of -0.85 actually reflects one of the stronger relationships possible between two variables, simply an inverse one rather than a direct one.

Answer: B
The CAPM expected return is 2% plus 1.2 times (9% minus 2%), or 2% plus 8.4%, equaling 10.4%; alpha is the actual return minus this expected return, so 13% minus 10.4% equals 2.6%, representing performance beyond what the stock's market risk alone would predict. The 4.0% choice comes from simply subtracting the market return from the stock's return (13% minus 9%) without adjusting for its 1.2 beta, ignoring that a higher-beta stock is expected to outperform in a rising market.

Answer: B
The internal rate of return is the discount rate at which a project's net present value equals zero, and the standard capital budgeting rule is to accept a project only when its IRR meets or exceeds the required hurdle rate. Here the 9% IRR is below the 11% hurdle rate, so the project fails to clear the minimum return demanded for its risk and cost of capital, making rejection correct. A positive IRR alone does not justify acceptance if it still falls short of what the firm requires elsewhere.

Answer: B
At a 20% discount rate, the year-one cash flow of $1,200 discounts to $1,000 and the year-two cash flow of $1,440 also discounts to $1,000, together equaling the $2,000 initial outlay and producing a net present value of zero, which is the definition of IRR. The 32% choice simply adds the two cash flows to get $2,640 and compares that total to the $2,000 outlay without discounting either amount for time, a shortcut that ignores compounding and substantially overstates the project's true annualized return.

Answer: C
Compounding $8,000 at 5% annually for three years is calculated as $8,000 times 1.05 cubed, which equals $8,000 times 1.157625, or about $9,261. The $9,200 choice reflects simple interest instead, adding 5% of the original $8,000 principal in each of the three years (8,000 times 0.05 times 3 equals $1,200) without compounding that growth. Because compounding applies each year's return to both the principal and previously earned gains, the compounded future value is higher than a simple-interest estimate, making $9,261 correct.

Answer: B
Because shareholders' equity equals total assets minus total liabilities, this company's equity is $5,000,000 minus $3,000,000, or $2,000,000. The debt-to-equity ratio is then total liabilities divided by equity: $3,000,000 divided by $2,000,000 equals 1.5. The 0.6 choice mistakenly divides total liabilities by total assets ($3,000,000 divided by $5,000,000) instead of by equity, a calculation that actually produces the debt ratio, a related but distinct leverage measure, rather than the debt-to-equity ratio the question asks for.

Answer: C
Discounting the $5,500 year-one cash flow at 8% gives a present value of about $5,093 ($5,500 divided by 1.08); subtracting the $5,000 initial outlay leaves a positive net present value of roughly $93, meaning the project is expected to earn slightly more than the required 8% return. The $500 figure is simply the undiscounted difference between the cash inflow and the outlay, ignoring that a dollar received a year from now is worth less than a dollar today, the entire premise behind net present value analysis.

Answer: B
Discounting each $6,000 cash flow at 10% gives present values of about $5,455 in year one and $4,959 in year two, for a total present value near $10,413; subtracting the $10,000 outlay yields a net present value of about $413, confirming the project modestly exceeds its required return. The $2,000 figure merely sums the two $6,000 inflows and subtracts the outlay without discounting either cash flow, an undiscounted profit calculation that ignores the time value of money and considerably overstates the project's true economic return.

Answer: A
Book value per share is $18,000,000 divided by 3,000,000 shares, or $6.00; dividing the $4.50 market price by that $6.00 book value gives a price-to-book ratio of 0.75, meaning the market values the shares below their accounting book value, a discount. The 1.33 figure results from inverting the formula, dividing book value by price instead of price by book value, a different ratio entirely that would incorrectly suggest the stock trades at a premium rather than the discount the correct calculation shows.

Answer: B
The debt-to-equity ratio is total liabilities divided by shareholders' equity: $2,400,000 divided by $1,600,000 equals 1.5, meaning the company uses $1.50 of debt financing for every $1.00 of equity financing. The 0.67 choice comes from inverting the calculation, dividing equity by liabilities instead, which describes a different relationship, how much equity backs each dollar of debt, rather than the leverage measure the debt-to-equity ratio is specifically intended to capture for analyzing capital structure risk.

Answer: A
With the five returns arranged in order, 4%, 6%, 6%, 9%, 15%, the median is the middle value, which is 6%. The 8% choice is actually the mean, or average, of the five returns, a different measure of central tendency that is pulled upward by the 15% outlier. The median, by contrast, depends only on the position of values once sorted rather than their magnitude, so it is unaffected by that same extreme value in the data set.

Answer: B
When a data set contains an extreme outlier like the $1,200 month, the median better represents typical spending because it depends only on the middle value once sorted and is not pulled by extreme figures. The mean is tempting because it technically uses every data point, but that inclusiveness is precisely its weakness here: the $1,200 outlier inflates the average well above what five of the six months actually reflect, misrepresenting the client's ordinary monthly spending pattern.

Answer: B
Dividing the $60 share price by $3.75 of trailing earnings per share gives a P/E ratio of 16, compared with the peer group's average of 12. Because the P/E ratio measures how much investors pay for each dollar of a company's earnings, a higher multiple means the market is paying more per dollar of this company's earnings than for a typical peer. Describing the premium as equal to peers ignores that 16 and 12 are meaningfully different multiples, and the higher figure specifically signals a richer earnings valuation.

Answer: B
The Sharpe ratio equals (portfolio return minus risk-free rate) divided by standard deviation, or (12% minus 3%) divided by 15%, which equals 0.6, measuring excess return earned per unit of total risk taken. The 0.8 choice comes from dividing the full 12% return by the 15% standard deviation without first subtracting the 3% risk-free rate; skipping that step overstates the ratio because it credits the portfolio for the risk-free portion of its return, a component that involved no actual risk-taking.