LM3 Exchange Traded Funds Question Notes

Variant: Separate an ETF's Primary and Secondary Markets

Abstract: Ordinary investors trade existing ETF shares with other investors. Only authorized participants deal directly with the fund to create or destroy shares.

An individual buys 200 ETF shares on an exchange. Did the ETF issuer receive the investor's cash, and did this trade create new ETF shares?

ETF. What is an ETF? An exchange-traded fund is a pooled basket of investments whose shares trade during the day like a stock. Secondary market. What is that? It is where investors trade existing ETF shares with one another. Primary market. What is that? It is where an authorized participant exchanges a basket with the ETF issuer to create or redeem shares. Authorized participant, or AP. What is an AP? It is a large approved broker/dealer—not an ordinary investor—that may transact directly with the ETF issuer.

1. Follow the cash

The buyer's cash goes to the seller of the existing shares. The issuer is not part of this exchange trade.

Variant: Distinguish the Creation Basket, Creation Unit, and Redemption Basket

Abstract: The basket is what moves between the AP and fund; the unit is the large block of ETF shares received or surrendered.

An ETF publishes a daily list of stocks. An AP delivers those stocks and receives 50,000 ETF shares. Name the list, the 50,000-share block, and the assets returned if the process runs backward.

Creation basket. What is a creation basket? It is the published list and quantities of assets an AP delivers to create ETF shares. Creation unit. What is a creation unit? It is the large block of ETF shares exchanged with the issuer—50,000 shares here. Redemption basket. What is a redemption basket? It is the assets the AP receives when it returns a creation unit to the fund.

1. Label each moving piece

Running the pipe backward gives:

Variant: Trace an In-Kind ETF Creation

Abstract: Creation means the AP gives the fund the required assets and receives newly created ETF shares of equal value.

Demand for an ETF rises. An AP buys the published basket and delivers it to the ETF issuer. What does the AP receive, and which direction do assets move?

In kind. What does in kind mean? Assets are exchanged for shares rather than being sold for cash first. Creation. What is creation? It is the primary-market process that increases ETF shares: \(\text{creation basket}\rightarrow\text{issuer}\) and \(\text{new ETF shares}\rightarrow\text{AP}\).

1. Follow both legs

AP  -- creation basket -->  ETF issuer
AP  <-- new ETF shares --  ETF issuer

The AP can then sell those shares to investors on the exchange.

Variant: Trace an In-Kind ETF Redemption

Abstract: Redemption reverses creation: the AP returns ETF shares and receives underlying assets, reducing shares outstanding.

An AP accumulates 50,000 ETF shares and presents them to the issuer for redemption. What does the AP receive, and what happens to ETF shares outstanding?

Redemption. What is redemption? It is the primary-market process that removes ETF shares: \(\text{ETF shares}\rightarrow\text{issuer}\) and \(\text{redemption basket}\rightarrow\text{AP}\). Shares outstanding. What are shares outstanding? They are ETF shares currently existing in investors' and dealers' hands.

1. Reverse the creation pipe

AP  -- ETF shares -------->  ETF issuer
AP  <-- redemption basket --  ETF issuer

Variant: Arbitrage an ETF Trading at a Premium

Abstract: When ETF shares are too expensive, buy the cheaper basket, create ETF shares, and sell those expensive shares.

An ETF trades at $25.10 while its underlying basket is worth $25.00 per ETF share. One creation unit contains 50,000 shares. Ignoring costs, describe the AP's trade and calculate gross profit.

NAV. What is NAV? Net asset value is the underlying basket's value per ETF share. Premium. What is an ETF premium? It means market price exceeds NAV: \(\text{premium per share}=P_{ETF}-NAV\). Arbitrage. What is arbitrage? It is buying the cheap side and selling the expensive side at the same time to lock in a price gap. Gross profit. What is gross profit? It is profit before trading fees: \((P_{ETF}-NAV)\times\text{shares}\).

1. Buy cheap and sell expensive

The AP buys the $25.00 basket, exchanges it for ETF shares, and sells those shares for $25.10.

Selling ETF shares pushes their price down; buying basket assets pushes their prices up. That pressure closes the gap.

Variant: Arbitrage an ETF Trading at a Discount

Abstract: When ETF shares are too cheap, buy the ETF, redeem it for the more valuable basket, and sell that basket.

An ETF trades at $24.90 while its underlying basket is worth $25.00 per share. An AP can redeem 50,000 shares. Ignoring costs, describe the trade and calculate gross profit.

NAV. What is NAV? Net asset value is the underlying basket's value per ETF share. Discount. What is an ETF discount? It means market price is below NAV: \(\text{discount per share}=NAV-P_{ETF}\). Redeem for value. What does that mean? Buy cheap ETF shares, return them to the issuer, receive the higher-value basket, and sell it.

1. Run the premium trade backward

Buying ETF shares pushes their price up; selling basket assets pushes their prices down.

Variant: Decide Whether the Arbitrage Gap Is Large Enough

Abstract: A visible premium or discount is not automatically free money. Trade only when the gap exceeds every cost of completing both legs.

An ETF premium is $0.08 per share. Buying the basket, creating shares, hedging, and paying issuer fees costs the AP $0.11 per share. Should the AP arbitrage?

NAV. What is NAV? It is the underlying basket's value per ETF share. Arbitrage cost. What is arbitrage cost? It is the combined price of trading, hedging, settlement, taxes, and creation/redemption fees. Arbitrage gap. What is the arbitrage gap? It is the premium or discount required before the trade becomes worthwhile. Net profit is \(\text{price gap}-\text{arbitrage cost}\).

1. Check what survives after costs

Variant: Identify Who Ultimately Pays Creation and Redemption Costs

Abstract: The AP pays the mechanics bill first, then passes it through the bid–ask spread to investors who trade. Holders who do nothing are shielded.

An AP pays basket-trading and issuer-processing costs during ETF creation. Are these costs ultimately borne by the sponsor, all shareholders, or the investors buying and selling ETF shares?

Sponsor. What is the sponsor? It is the firm that operates the ETF. Bid–ask spread. What is the bid–ask spread? It is the dealer's selling price minus buying price: \(\text{spread}=P_{ask}-P_{bid}\). Transacting shareholder. What is that? It is an investor entering or leaving the ETF now.

1. Follow the bill

The AP embeds its costs in the quoted spread paid by buyers and sellers.

This is why non-trading ETF holders are not forced to subsidize somebody else's entry or exit.

Variant: Separate ETF Trading, Clearing, and Settlement

Abstract: Execution agrees the trade, clearing guarantees and matches it, and settlement finally moves shares and cash.

A US investor buys ETF shares today. Explain execution, clearing, and T+2 settlement, then contrast the basic European setup described in the module.

Execution. What is execution? Buyer and seller agree on price and quantity. Clearing. What is clearing? A clearing organization matches the records and stands behind completion. Settlement. What is settlement? Cash and legal ownership are finally delivered. T+2. What does T+2 mean? In the curriculum's stated convention, settlement occurs two business days after trade date: \(\text{settlement date}=T+2\).

1. Put the events in order

The module describes Europe as split across more exchanges and settlement systems, so many large-investor trades are privately negotiated rather than displayed on a public exchange.

Variant: Calculate NAV and Intraday NAV per Share

Abstract: NAV is the fund basket's value per ETF share. Intraday NAV is an updated estimate during trading, not a guaranteed execution price.

An ETF owns assets worth $505 million, owes liabilities of $5 million, and has 20 million shares outstanding. Calculate NAV per share. If the live basket estimate rises 0.4%, estimate intraday NAV.

Net asset value, or NAV. What is NAV? It is assets minus liabilities per share: \(NAV=(\text{assets}-\text{liabilities})/\text{shares outstanding}\). Intraday NAV, or iNAV. What is iNAV? It is an indicative estimate updated during the day; here \(iNAV=NAV(1+\text{estimated basket move})\).

1. Find end-of-day-style NAV

2. Update the estimate

Variant: Calculate and Interpret Tracking Difference

Abstract: Tracking difference keeps the sign: ETF return minus index return. It tells you whether the fund led or lagged over the chosen holding period.

An ETF returns 7.35% over 12 months while its index returns 8.00%. Calculate tracking difference and interpret the sign.

Tracking difference. What is tracking difference? It is ETF holding-period return minus index return: \(TD=R_{ETF}-R_{index}\). A negative result means the ETF underperformed; a positive result means it outperformed.

1. Keep the subtraction direction fixed

The ETF lagged its index by 0.65 percentage point over the year.

Variant: Annualize Daily ETF Tracking Error

Abstract: Tracking error measures the wobble of daily ETF-minus-index returns. Annualize daily standard deviation with the square root of trading days.

The standard deviation of an ETF's daily return differences versus its index is 0.012%. Using 252 trading days, calculate reported annualized tracking error.

Daily return difference. What is that? It is \(d_t=R_{ETF,t}-R_{index,t}\). Standard deviation. What is standard deviation? It measures how widely a series of numbers bounces around its average. Tracking error. What is tracking error? It is the standard deviation of daily differences, annualized as \(TE_{annual}=\sigma(d_t)\sqrt{252}\).

1. Scale daily wobble to one year

This number measures magnitude of deviation, not average underperformance.

Variant: Choose Rolling Tracking Difference over Daily Tracking Error

Abstract: Use rolling holding-period differences to see the investor's cumulative experience. Daily tracking error only tells you how scattered the daily misses were.

An ETF has a low reported tracking error, but an investor wants to know whether fees and rebalancing caused persistent annual underperformance. Which assessment should the investor use?

Rolling return. What is a rolling return? It repeatedly measures the same holding period from shifting start dates—for example, every trailing 12-month return. Rolling tracking difference. What is that? For each window it is \(TD_{t,t+H}=R_{ETF,t,t+H}-R_{index,t,t+H}\). Persistent underperformance. What does persistent mean? The ETF repeatedly lags instead of suffering a few isolated bad days.

1. Match the tool to the question

Their average shows direction, and their range shows consistency across investor holding periods.

Variant: Rank ETF Designs by Likely Tracking Error

Abstract: Full replication, local shares, and useful securities-lending income usually track more tightly than sampling, depositary receipts, or no lending income.

ETF A fully replicates a foreign index, owns local shares, and lends securities. ETF B uses representative sampling and ADRs. ETF C fully replicates but uses ADRs and does not lend. Which is most likely to have the lowest tracking error?

Full replication. What is full replication? The ETF owns every index security in benchmark weights. Representative sampling. What is that? The ETF owns only a selected subset intended to behave like the full index. ADR. What is an ADR? An American depositary receipt is a US-traded certificate representing foreign shares; different trading hours can create valuation mismatches. Securities lending. What is that? The ETF temporarily lends holdings for a fee, which can offset fund expenses.

1. Count avoidable mismatches

ETF A avoids sampling and ADR timing gaps, while lending income can offset costs.

Variant: Let Securities-Lending Income Offset an Expense Ratio

Abstract: Expenses pull ETF return below the index; lending income pushes it back up. The expected tracking difference is income minus expenses.

An ETF has a 0.30% annual expense ratio and earns 0.12% from securities lending. Ignoring other tracking effects, estimate annual tracking difference.

Expense ratio. What is an expense ratio? It is the fund's annual operating cost as a percentage of assets. Securities-lending income. What is that? It is the fee earned by lending holdings to a borrower. The simple expected difference is \(TD\approx\text{lending income}-\text{expense ratio}\).

1. Let the income pay part of the bill

The ETF is expected to lag by 0.18%, not the full 0.30% fee.

Variant: Calculate an ETF Bid–Ask Spread in Dollars and Percent

Abstract: The spread is the round-trip price toll quoted by the dealer. Subtract bid from ask, then divide by the midpoint for a percentage spread.

An ETF is quoted at a bid of $49.95 and an ask of $50.05. Calculate the dollar spread, midpoint, and quoted percentage spread.

Bid. What is the bid? It is the price the dealer pays you when you sell. Ask. What is the ask? It is the price you pay the dealer when you buy. Midpoint. What is the midpoint? It is halfway between them: \(M=(P_{ask}+P_{bid})/2\). Percentage spread. What is that? It is \((P_{ask}-P_{bid})/M\).

1. Find the dollar toll

2. Put it on a percentage scale

Variant: Predict Whether an ETF Spread Will Widen or Narrow

Abstract: More order flow and more dealer competition narrow spreads. Harder hedging, illiquid holdings, and higher carrying risk widen them.

ETF X has heavy two-way order flow, liquid underlying stocks, and five competing market makers. ETF Y trades rarely, owns illiquid bonds, and has one market maker. Which should have the wider spread?

Order flow. What is order flow? It is the stream of buy and sell orders. Market maker. What is a market maker? It is a dealer quoting prices and standing ready to trade. Underlying holdings. What are they? They are the assets inside the ETF. Illiquid. What does illiquid mean? Difficult or costly to trade quickly near fair value. Hedging risk. What is that? It is the danger that prices move while the dealer offsets the ETF position.

1. Read the dealer's problem

ETF Y is harder to offset and gives its single dealer less competition.

For a very liquid, high-volume ETF, opposite investor orders are matched quickly, so creation/redemption fees are usually the least important spread input.

Variant: Calculate an ETF Premium or Discount to NAV

Abstract: Subtract value from price, then divide by value. Positive means premium; negative means discount.

An ETF closes at $23.45 and NAV per share is $23.00. Calculate the premium or discount. Then classify a second ETF priced at $19.80 with NAV of $20.00.

NAV and iNAV. What are they? NAV is underlying asset value per ETF share; iNAV is its intraday estimate. Premium or discount percentage. What is it? It measures exchange price relative to value. At day-end, \(\text{premium/discount \%}=(P_{ETF}-NAV)/NAV\); intraday, use \((P_{ETF}-iNAV)/iNAV\). Positive means expensive versus value; negative means cheap.

1. First ETF

2. Second ETF

Variant: Decide Whether a Large Premium or Discount Is Real Mispricing

Abstract: A price/NAV gap may be a clock problem, not a pricing error. The ETF can contain newer information than stale underlying prices.

A US-listed ETF holding Japanese shares trades actively at 3:30 p.m. New York time, hours after Japan closed. It shows a 1.5% premium to NAV. Is arbitrage automatically justified?

NAV. What is NAV? It is the fund's calculated underlying asset value per ETF share. Stale price. What is a stale price? It is an old price that has not yet absorbed current information. Price discovery. What is price discovery? It is trading that reveals the market's latest estimate of value. Timing mismatch. What is that? ETF price and NAV are stamped using different market times.

1. Compare the clocks before trading

The ETF may reflect news that the closed Japanese market cannot yet show in NAV.

The same issue appears in bond ETFs when model-based bond NAVs update more slowly than liquid ETF prices.

Variant: Calculate Total ETF Holding-Period Cost

Abstract: Prorate the annual fee for time, then add the one-time round-trip commission and full purchase/sale spread cost.

An ETF charges a 0.32% annual management fee. Nine-month round-trip commissions are 0.20%, and the bid–offer spread cost across purchase and sale is 0.10%. Excluding compounding, calculate total holding-period cost.

Management fee. What is a management fee? It is an ongoing annual charge, prorated as \(\text{annual fee}\times\text{months}/12\). Round-trip commission. What is that? It is total broker commission for buying and later selling. Bid–offer spread. What is that? It is another name for the ask-minus-bid spread paid through the entry and exit prices. Holding-period cost. What is that? It is \(HPC=\text{prorated fee}+\text{round-trip commission}+\text{purchase/sale spread cost}\).

1. Prorate the clock-based cost

2. Add costs paid to enter and exit

Variant: Solve for the Holding Period Where Fees Equal Trading Costs

Abstract: Trading cost is paid once for the round trip; management fees grow with time. Set them equal and solve for months.

An ETF has 0.25% round-trip trading cost and a 0.15% annual management fee. After how many months will cumulative management fees equal the trading cost?

Break-even holding period. What is that? It is the time when two cost pieces are equal. Set \(\text{annual fee}\times m/12=\text{round-trip trading cost}\) and solve for months \(m\).

1. Run the cost equation backward

Variant: Adjust Cost Basis after a Return-of-Capital Distribution

Abstract: Return of capital is your own invested money coming back. It usually lowers tax cost basis instead of being taxed immediately.

An investor owns 100 ETF shares with a $40 cost basis per share. The ETF distributes $1.50 per share as return of capital. Find the new total cost basis, ignoring jurisdiction-specific exceptions.

Dividend distribution. What is a dividend distribution? It pays out income the ETF earned from its holdings. Return of capital, or ROC. What is ROC? It is a distribution beyond the fund's earnings—part of the investor's capital coming back. Cost basis. What is cost basis? It is the tax starting value used later to calculate gain: \(\text{new basis}=\text{old basis}-\text{ROC}\).

1. Reduce basis per share

2. Scale to 100 shares

Variant: Explain ETF Tax Fairness and Tax Efficiency

Abstract: Tax fairness shields staying investors from somebody else's sale. Tax efficiency lets the fund redeem low-basis lots and remove embedded gains.

An ETF investor sells shares on an exchange, while a mutual-fund investor redeems directly from the fund. Which structure is less likely to force taxable gains onto the investors who remain?

Capital gain. What is a capital gain? It is sale price minus cost basis when an asset is sold above its tax starting value: \(\text{gain}=P_{sale}-\text{cost basis}\). In-kind redemption. What is that? The fund hands assets—not cash—to the AP, so the fund need not sell them. Tax fairness. What is tax fairness? One shareholder's exit does not create a tax bill for everybody else. Tax efficiency. What is tax efficiency? The structure reduces how often taxable gains must be realized and distributed.

1. Follow each exit

An ETF seller normally sells to another investor, so the fund need not sell holdings. In-kind redemption can also remove low-basis securities without a fund-level sale.

Variant: Classify ETF Risks by Their Source

Abstract: Ask what broke: another party, the fund itself, or the investor's understanding. That identifies counterparty, closure, or expectation-related risk.

Classify three events: (1) a swap dealer fails to pay, (2) an uneconomic ETF shuts down, and (3) a novice expects an inverse ETF to deliver the inverse of a two-year index return.

Counterparty risk. What is counterparty risk? The party owing money may default. Holdings-based risk. What does this distractor mean? It means danger arising from assets inside the fund, but it is not the right label for a beginner misunderstanding an inverse ETF. Fund-closure risk. What is fund-closure risk? The ETF may shut and return cash, possibly creating tax and reinvestment problems. Expectation-related risk. What is that? The investor misunderstands how the product behaves.

1. Match cause to label

Variant: Separate Explicit and Implicit ETF Costs

Abstract: Explicit costs arrive as visible charges. Implicit costs hide inside execution prices, fund returns, taxes, or income offsets.

Classify an ETF's management fee, commission, bid–ask spread, tracking difference, taxable gain, and securities-lending income as visible charges or costs embedded in the investment result.

Explicit cost. What is an explicit cost? It is separately quoted and directly charged, such as a management fee or commission. Implicit cost. What is an implicit cost? It is absorbed through price or return rather than billed separately. Negative cost. What is a negative cost? It is income that offsets expenses, so \(\text{net cost}=\text{positive costs}-\text{offsetting income}\).

1. Sort the list

Taxable gains and losses are explicit investor costs in the curriculum's classification.

Variant: Distinguish an ETF from an ETN

Abstract: An ETF normally owns a portfolio. An ETN is an issuer's debt promise, so the issuer's ability to pay becomes central.

A bank issues an exchange-traded product promising the return of a commodity index but holds no matching commodity portfolio. Is it an ETF or ETN, and what special risk matters most?

Exchange-traded note, or ETN. What is an ETN? It is unsecured debt whose payoff follows an index; “unsecured” means no dedicated asset basket guarantees payment. ETF. What is an ETF here? It is a fund structure normally backed by portfolio holdings. Issuer credit risk. What is that? It is the chance the bank cannot honor the note; it is a form of counterparty risk.

1. Inspect what legally promises the payoff

Variant: Calculate a 3× ETF's Daily Return and Reset

Abstract: The leverage promise is daily. Multiply today's index return, update NAV, then reset tomorrow's exposure from the new NAV.

A 3× ETF starts with NAV £100 and £300 of index exposure. The index rises 5% today. Calculate the ETF's end-of-day NAV, required exposure for tomorrow, and reset trade.

Leveraged ETF. What is a leveraged ETF? It targets a multiple \(L\) of the index's daily return: \(R_{ETF,t}=L R_{index,t}\). Notional exposure. What is that? It is the market exposure controlled, even when it exceeds cash invested. Daily reset. What is that? Tomorrow's target is rebuilt from today's new NAV: \(\text{target exposure}_{t+1}=L\times NAV_t\).

1. Apply today's 3× return

The old £300 exposure rises 5% to £315.

2. Reset for tomorrow

Variant: Calculate Daily-Reset Compounding in a −2× ETF

Abstract: Apply the inverse multiple one day at a time to the changing NAV. Multiplying the total two-day index return gives the tempting wrong answer.

An index moves from 100 to 110, then to 99. A −2× ETF starts at NAV 100. Calculate both daily ETF returns, ending NAV, and two-day return.

Inverse ETF. What is an inverse ETF? It targets the opposite of the index's daily return. −2× ETF. What does −2× mean? Each day \(R_{ETF,t}=-2R_{index,t}\). Compounding. What is compounding? Each day's percentage acts on the previous day's new NAV: \(NAV_T=NAV_0\prod_t(1+R_{ETF,t})\).

1. Day 1: index rises 10%

2. Day 2: index falls from 110 to 99, exactly 10%

The index lost 1% over both days, but the ETF did not gain 2%; daily resetting changed the path.

Variant: Diagnose Fund Closure and Creation-Halt Risk

Abstract: A full closure liquidates the fund; a creation halt leaves it trading but can break the arbitrage pipe and produce a large premium.

ETF A has tiny assets and persistent low volume. ETN B still trades, but its issuer stops creating new notes. Identify the main risk in each case.

Assets under management, or AUM. What is AUM? It is the total market value invested in the fund. Fund closure. What is fund closure? The issuer shuts the product, sells holdings, and returns cash. Creation halt. What is a creation halt? The issuer stops making new shares or notes. Without new supply, premium pressure may remain because the usual create-and-sell arbitrage cannot run.

1. Match each broken pipe

Variant: Calculate Cash Drag and Remove It with Cash Equitization

Abstract: Idle cash earns less than the target market, pulling portfolio return down. A liquid ETF can give that cash immediate benchmark exposure.

A portfolio should be fully exposed to an equity benchmark expected to return 8%, but 10% sits in cash earning 2%. Calculate expected portfolio return and cash drag. What ETF action removes the gap?

Cash drag. What is cash drag? It is benchmark underperformance caused by idle cash: \(\text{cash drag}=R_P-R_B\). Cash equitization. What is cash equitization? It means investing cash in an equity ETF so the cash behaves like the target equity exposure.

1. Price the partly idle portfolio

2. Repair the exposure

Variant: Choose between Rebalancing, Completion, and Transition Uses

Abstract: Rebalancing repairs a weight, completion fills a missing exposure, and transition temporarily holds the market while managers change.

Label each ETF use: (1) equity rises from a 60% target to 65%; (2) external managers collectively leave a 4% technology underweight; (3) an old bond manager is fired before the replacement is ready.

Rebalancing. What is rebalancing? It restores an allocation to its target: \(\text{trade}=w_{target}-w_{current}\). Completion strategy. What is that? It fills an unwanted exposure gap left by other holdings. Transition management. What is that? It maintains market exposure while one manager or strategy is replaced.

1. Attach the right operational label

For case 1, equity must be reduced by \(60\%-65\%=\boxed{-5\%}\) of the portfolio.

Variant: Select an ETF for a Tactical Trade

Abstract: A short-term trade cares heavily about getting in and out cheaply, so high volume and a tight spread can matter more than a tiny fee difference.

Two ETFs provide the same exposure. ETF A charges 0.08% annually but trades rarely with a 0.40% spread. ETF B charges 0.15% annually but trades heavily with a 0.05% spread. Which is more suitable for a one-week tactical trade?

Tactical trade. What is a tactical trade? It is a short-term position taken to express a market view. Trading volume. What is trading volume? It is how much of the ETF changes hands. Round-trip spread cost. What is that? For a quick buy and sale near unchanged value, it is roughly the full quoted spread.

1. Compare the dominant one-week toll

The 0.07% annual fee advantage of ETF A is tiny over one week, while its spread disadvantage is immediate.

Variant: Decide Whether a Factor ETF Fits the Job

Abstract: A factor ETF follows rules designed to capture a return driver such as value or momentum. It is usually a longer-term exposure, not a rapid trading gadget.

An investor wants a long-term tilt toward inexpensive stocks and possible benchmark outperformance. Another investor wants repeated intraday trades. Which use better fits a value-factor ETF?

Factor. What is a factor? It is a shared stock characteristic linked to return or risk, such as value, size, quality, momentum, or low volatility. Smart beta ETF. What is that? It is a rules-based ETF that screens or weights holdings by factors instead of plain market value. Value tilt. What is that? It gives extra weight to stocks judged inexpensive by the stated rules.

1. Match the design horizon

Factor ETFs may seek outperformance or modify portfolio risk; the official module says tactical trading is their least likely main use.

Variant: Use ETFs to Modify Portfolio Risk

Abstract: Choose the ETF whose exposure attacks the risk you actually want to change: equity beta, currency, interest-rate duration, or credit.

A global equity investor wants foreign stocks without foreign-currency movement. A bond investor wants corporate credit exposure with little interest-rate sensitivity. Identify a suitable ETF design for each.

Currency-hedged ETF. What is that? It owns foreign assets while using hedges intended to offset currency gains and losses. Duration risk. What is duration risk? It is bond-price sensitivity to interest-rate changes. Credit risk. What is credit risk? It is the chance borrowers weaken or default. Duration-hedged bond ETF. What is that? It holds credit assets and offsets much of their interest-rate exposure with futures or short government-bond positions.

1. Match exposure to problem

Variant: Compare ETF Trading Quality Using the Official Measures

Abstract: For otherwise similar ETFs, heavier volume, tighter spreads, and smaller premium/discount swings point to cheaper, cleaner execution.

Two large-cap ETFs have similar exposure. ETF L trades $1.2 billion daily with a 0.01% average spread. ETF S trades $1.3 million daily with a 0.12% spread and much larger premium/discount extremes. Which is more liquid and cheaper to trade? On a $10 million round trip, estimate spread cost for each.

Liquidity. What is liquidity? It is the ability to trade quickly in size without moving price much. Average spread. What is that? It is the typical ask-minus-bid percentage. Round-trip spread cost. What is that? It is approximately \(\text{trade value}\times\text{spread \%}\) when buying and later selling near unchanged value.

1. Compare the evidence

Variant: Calculate the Value of a Creation Unit

Abstract: A creation unit is a share count. Multiply by ETF value per share to find the basket value the AP must exchange.

An ETF has NAV of $25 per share and a creation unit of 50,000 shares. What equal-value basket must an AP deliver for one creation unit?

Creation-unit value. What is creation-unit value? It is \(\text{shares per unit}\times NAV\text{ per share}\). Equal-value exchange. What does that mean? The basket and the new ETF block have the same value at the primary-market exchange.

1. Scale one share to one block

Variant: Choose In-Kind or Cash Creation for Different Assets

Abstract: In-kind exchange is the normal ETF engine, but cash may be more workable when the holdings are illiquid or the exposure comes from swaps.

Compare a liquid large-cap stock ETF, an illiquid municipal-bond ETF, and a leveraged swap-based ETF. Which is most naturally suited to ordinary in-kind creation, and which may use cash creation?

Cash creation. What is cash creation? The AP gives cash instead of delivering every underlying asset. Swap-based ETF. What is that? It obtains exposure through a contract with a dealer rather than by owning every referenced asset. Illiquid. What does illiquid mean? Difficult or costly to trade quickly near fair value.

1. Match mechanics to holdings

Cash creation makes AP participation easier but can push trading costs and tax effects into the fund.

Variant: Debug Three Common ETF-Mechanics Claims

Abstract: ETF shares may be shorted, AP costs reach traders through spreads, and a discount trade starts by buying the cheap ETF—not the basket.

Judge three claims: (1) ETF shares cannot be shorted; (2) APs pay basket costs first and pass them to ETF traders; (3) at a discount, an AP buys the creation basket and swaps it for new ETF shares.

Short an ETF. What does that mean? Borrow ETF shares, sell them now, and hope to repurchase them cheaper later. ETF shares may be shorted; ordinary mutual-fund shares cannot. Cost pass-through. What is that? APs quote basket and processing costs inside the bid–ask spread paid by transacting investors. Discount arbitrage. What is that? Buy cheap ETF shares and redeem them for the more valuable basket.

1. Test each direction

Claim 3 describes the premium direction. At a discount, the AP buys ETF shares rather than the creation basket.

Variant: Calculate Counterparty Exposure between Swap Settlements

Abstract: Collateral cushions a dealer default, but any positive swap value above collateral is still exposed until the contract settles.

A synthetic ETF has a $2.0 million unrealized gain on a swap with a bank. The bank has posted $1.7 million of collateral. If the bank defaults before settlement, how much current value is unsecured?

Synthetic ETF. What is a synthetic ETF? It uses derivatives such as swaps to obtain market exposure. Swap. What is a swap? It is a contract in which two parties exchange promised cash-flow results. Unrealized gain. What is that? It is value owed under the contract but not yet paid. Collateral. What is collateral? It is pledged property available if the owing party fails. Unsecured exposure is \(\max(\text{swap gain}-\text{collateral},0)\).

1. Subtract the protection already posted

Frequent settlement shortens the time in which an unpaid gain can build up.

Variant: Convert an ETN Issuer's CDS Spread into Annual Insurance Cost

Abstract: A CDS quote in basis points is an annual percentage of insured notional. Divide basis points by 10,000, then multiply by notional.

An ETN issuer's one-year CDS spread is 280 basis points. Approximately how much annual premium insures $1 million of its debt, ignoring payment timing?

Credit default swap, or CDS. What is a CDS? It is a contract resembling default insurance on a borrower. Basis point. What is a basis point? It is 0.01%, so \(280\text{ bps}=280/10{,}000=2.80\%\). Notional. What is notional? It is the reference debt amount used to calculate payment. Annual premium is \(\text{spread}\times\text{notional}\).

1. Convert and scale

The spread is a relative warning signal about issuer credit risk, not a literal one-year default probability.

Variant: Calculate Collateral for Securities Lending

Abstract: Lending income helps returns, but the borrower receives real securities. Overcollateralization gives the ETF a buffer above their value.

An ETF lends $2 million of domestic securities requiring 102% collateral and $2 million of international securities requiring 105%. Calculate collateral for each loan.

Securities loan. What is a securities loan? The ETF temporarily gives holdings to a borrower, usually a short seller, in return for fees and collateral. Overcollateralization. What is that? Collateral exceeds securities value: \(\text{collateral}=\text{loan value}\times\text{collateral percentage}\).

1. Domestic loan

2. International loan

Variant: Match Advanced ETF Designs to Their Portfolio Jobs

Abstract: Alternative weighting changes how holdings are sized; discretionary active delegates choices; dynamic multi-asset shifts broad exposures as forecasts change.

Match three products to their design: (1) weights stocks by dividend yield, (2) lets a bond manager choose securities, and (3) shifts among stocks, bonds, and commodities as forecasts change.

Alternative-weighted ETF. What is that? It sizes holdings by a rule other than market capitalization, such as equal weight or dividend yield. Discretionary active ETF. What is that? A human or team uses judgment to choose holdings rather than following a fixed index rule. Dynamic multi-asset ETF. What is that? It changes weights across several asset classes as its return or risk outlook changes.

1. Match each design

Variant: Decide When a Separately Managed Account May Beat an ETF

Abstract: Very large investors may negotiate lower fees and custom rules outside an ETF, while a large public ETF holding can reduce privacy and flexibility.

A sovereign investor can negotiate institutional fees, needs custom exclusions, and would own 25% of a small ETF's assets. Which structure may fit better: that ETF or a separately managed account?

Separately managed account, or SMA. What is an SMA? It is a portfolio owned directly for one client and customized to that client's rules. Institutional fee. What is that? It is a lower price sometimes negotiated by a very large investor. Ownership disclosure. What is that? Regulations may require a very large ETF stake to become public.

1. Match structure to client scale

It can offer customization and negotiated cost without building an unusually large, publicly visible position in one ETF.

Variant: Decide Whether an Active Strategy Fits inside an ETF

Abstract: Daily disclosure and daily creation work best with transparent, tradable holdings. Illiquid or secret strategies can be damaged by the wrapper.

A manager runs a concentrated strategy in rarely traded securities and says revealing daily holdings would expose upcoming trades. Is a conventional transparent ETF structure a natural fit?

Concentrated strategy. What is that? It places large weights in relatively few holdings. Daily holdings disclosure. What is that? The ETF regularly reveals what it owns so APs can price and assemble baskets. Front-running risk. What is that? Other traders may anticipate the manager's disclosed trades and move prices first. Underlying liquidity. What is that? It is how easily the assets inside the fund can be traded.

1. Test the wrapper against the strategy

The holdings are hard to create and redeem, while disclosure could compromise the manager's method.