Final Exam

Test your understanding of the full Options Trading Fundamentals course. A score of 80% or higher is required to pass.

1. A trader sold a $50 call for $2 premium. At expiration, the stock closes at $47. What happens?

The seller is automatically assigned by the OCC and must deliver 100 shares at the $50 strike to the buyer.

The seller takes delivery of 100 shares of stock from the buyer at the closing market price on the expiration day.

The seller must return the $200 premium to the buyer since the option contract was never actually exercised.

The seller keeps the $200 premium; the option expires worthless with no further obligation.

2. You are short one $60-strike put. At expiration, the stock closes at $54 and you are assigned. What appears in your account?

A short position of 100 shares with a $6,000 cash credit.

100 shares of stock purchased at the $54 market price.

A cash debit equal to the option's intrinsic value with no stock position.

100 shares of stock purchased at the $60 strike, with $6,000 debited from cash.

3. You are short one naked $75-strike call. At expiration, the stock closes at $82 and you are assigned. What appears in your account?

A short position of 100 shares and a $7,500 cash credit.

A long position of 100 shares and a $7,500 cash debit.

Cash credit of $700 (the intrinsic value) and no stock position.

The position is automatically closed at the prevailing market price.

4. You sell a $40-strike put for $2.00 premium (one contract). What is the maximum theoretical loss on this position?

$4,000 — strike × multiplier

$3,800 — (strike − premium) × 100

$200 — limited to the premium received

Unlimited

5. A trader buys a $90 call for $2.50. The stock closes at exactly $90 at expiration. What is the net P&L per share?

$0 — the option is at the strike and breaks even.

+$2.50 — the trader recovers the premium.

−$2.50 — the option expires worthless and the full premium is lost.

+$90 — the trader can still exercise and capture the strike.

6. You buy a $50 put for $1.75 premium. At expiration, the stock closes at $54. What is your net P&L per share?

+$1.75

+$4.00

−$4.00

−$1.75

7. You sold a $50 call for $3.00 premium. At expiration, the stock closes at $52. What is your net P&L per share?

+$3.00 — you keep the full premium.

−$2.00 — the option is $2 ITM.

−$5.00 — both the strike difference and the premium are losses.

+$1.00 — premium received minus intrinsic value paid out.

8. The stock is trading at $50. Which of the following options is in-the-money?

The $55 call

The $45 put

The $50 call

The $55 put

9. A $100-strike call is trading for $4.00 while the underlying is at $98. What is the option's extrinsic value?

$4.00

$2.00

$6.00

10. Volume and open interest on an option chain differ in which way?

Volume tracks the dollar value of contracts changing hands while open interest tracks the underlying share count.

Volume reflects only the buy orders submitted today while open interest reflects only the sell orders submitted today.

Volume is contracts traded today; open interest is total outstanding contracts not closed, exercised, or expired.

Volume includes contracts that have already expired while open interest excludes the expired contracts from its count.

11. Two options have identical bid-ask spreads, but Option A has open interest of 10,000 contracts and Option B has open interest of 50. The course suggests:

Option B is the better choice because thin open interest typically attracts tighter quotes from market makers shortly after.

Open interest doesn't matter for execution quality as long as the day's trading volume happens to be high.

The two contracts are equally liquid in practice since their quoted bid-ask spreads match in the current snapshot.

Option A is far more liquid because open interest is the best indicator of overall market participation.

12. Before a 1-for-5 reverse stock split, you hold one put with strike $10 covering 100 shares. After the split, the contract is typically adjusted to:

Strike $50, multiplier 20

Strike $2, multiplier 500

Strike $10, multiplier 20

Strike $50, multiplier 100

13. When a company announces a large special dividend, how are existing option contracts on that stock typically adjusted by the OCC?

All open option contracts in the underlying are immediately closed out at then-prevailing market prices on the announcement date.

The strike price is reduced by the per-share special dividend amount on the ex-dividend date.

The contract multiplier is increased proportionally to compensate the option holders for the upcoming dividend distribution.

No formal adjustment is made — special dividends are simply priced into the option chain by the market participants on their own.

14. Index options like SPX are typically cash-settled. What does this mean at expiration?

The exercising party must physically deliver all 500 component stocks of the S&P 500 in their index-weighted proportions.

Settlement on these index options occurs only during periodic auctions that are scheduled monthly by the exchange.

The contract simply terminates at expiration without any cash or share settlement, regardless of whether it finished ITM.

The in-the-money amount is transferred as cash between buyer and seller based on the official settlement price.

15. By put-call parity, owning 100 shares plus being short one call at the same strike (a covered call) is economically similar to:

A long put at the same strike.

A naked short call.

A long straddle.

A short put at the same strike (cash-secured short put).

16. Compared to a long ATM straddle, a long OTM strangle (e.g., 30-delta call + 30-delta put) typically has:

The same Greek profile in sign but smaller initial magnitudes, with a wider breakeven range.

Positive gamma but negative vega, since OTM options have negative vega.

Identical magnitudes but opposite signs on theta and vega.

Larger initial Greeks because OTM options have more time value.

17. A short (credit) put vertical spread is constructed by:

Selling a higher-strike put and buying a lower-strike put, both in the same expiration.

Buying a higher-strike put and selling a lower-strike put.

Selling a put and selling a call at the same strike.

Selling a put in one expiration and buying a put in a later expiration.

18. Looking at a debit call spread (long lower-strike call + short higher-strike call), how do the Greeks behave as the stock price moves from near the long strike to near the short strike?

Greeks remain identical at every stock price along the payoff curve since the structure is defined-risk.

Near the long strike, the position is +gamma/+vega/−theta; near the short strike, it flips to −gamma/−vega/+theta.

Vega stays positive everywhere across the spread; only delta and gamma change as the underlying moves between strikes.

Delta is the only Greek that moves along the spread; gamma, theta, and vega are zero throughout the entire structure.

19. A calendar spread uses options that share which of the following?

Same strike and same type, but different expirations.

Same expiration but different strikes.

Different strike, different expiration, and different type.

Same expiration and same strike, but one call and one put.

20. The course describes Black-Scholes as 'wrong but useful.' Which best captures the meaning?

BSM's assumptions don't match reality, but it provides a standardized framework and a comparable parameter (IV).

BSM produces accurate, dependable prices for European-style options but breaks down and fails completely for American-style options.

BSM is structurally correct, but only for specific high-volatility or low-volatility market regimes rather than across the board.

BSM is statistically correct on average across many trades, but tends to be noisy and unreliable on individual trades.

21. Why is implied volatility the preferred metric for comparing option pricing across different underlyings?

Higher-priced stocks always have more expensive options in absolute terms; IV strips that effect away into a comparable measure.

Implied volatility is the only Greek that is directly observable in real time on the exchange order books across the chain.

IV is computed off the quoted bid price only, eliminating the noise introduced by bid-ask spreads in the underlying option chain.

IV is required to be quoted directly by the exchanges themselves, making it more accurate than the raw transacted option prices.

22. The replication argument behind Black-Scholes implies that:

Stocks always outperform the equivalent option-replicating portfolio over any reasonable holding period across the market.

Option prices must equal the cost of a dynamically rebalanced stock-and-cash portfolio replicating the payoff.

Options can only be priced when the prevailing risk-free interest rate is exactly zero or extremely close to zero.

Options effectively have no economic value to their holders because they can always be perfectly replicated with stock and cash.

23. A deep in-the-money call option will typically have a delta closest to:

0.00

0.50

1.00

−1.00

24. The higher-order Greek 'Charm' measures:

The rate of change of vega with respect to the underlying price.

The rate of change of theta with respect to the underlying price.

The rate of change of gamma with respect to implied volatility.

The rate of change of delta with respect to the passage of time.

25. Vanna is best described as:

The sensitivity of theta to changes in vega across the option chain, measuring how decay shifts with vol sensitivity.

The sensitivity of delta to changes in IV (equivalently, vega's sensitivity to spot).

The sensitivity of gamma to changes in the risk-free interest rate input within the Black-Scholes framework.

The total time decay across all options in a portfolio aggregated together into a single book-level Greek figure.

26. Volga (also called Vomma) measures:

The sensitivity of vega to changes in implied volatility itself.

The sensitivity of the underlying to changes in volatility.

The sensitivity of delta to changes in time.

The dollar P&L from volatility shocks of a fixed percentage.

27. What happens to the gamma of an at-the-money option as expiration approaches?

It decreases steadily toward zero.

It increases sharply, becoming extremely large in the final hours.

It stays constant throughout the option's life.

It flips sign at expiration, becoming negative.

28. Why are cash-settled index options like SPX typically not subject to traditional pin risk?

Because index options always expire in-the-money by exchange rule.

Because cash settlement uses an official morning settlement price rather than the closing print.

Because index options use European exercise only at expiration.

Because no underlying shares change hands at expiration — only the cash difference is settled.

29. Borrow cost risk arises when:

A hedge requires shorting the underlying, but the stock becomes hard to borrow and the borrow fee spikes.

A broker raises house margin requirements on the position ahead of a quad witching expiration weekend, squeezing the account.

Dividends are paid out on stocks the trader is currently long, reducing the value of the underlying shares by the dividend amount.

The bid-ask spread on the option contract widens significantly during after-hours trading, making it expensive to exit the position.

30. Which of the following is the course's recommended mitigation for borrow cost risk?

Always over-hedge to make borrowing costs irrelevant.

Ignore borrow costs because they are negligible in modern markets.

Borrow shares well in advance and hold them in inventory.

Use defined-risk option structures that limit the need for active short-stock hedging.

31. At Interactive Brokers, the margin requirement on a naked short call is approximately:

The full strike price × multiplier as cash collateral.

Zero — naked short calls have no margin requirement.

The premium received plus roughly 10% of the underlying value.

100% of the option's premium with no additional collateral.

32. Looking at a payoff graph, long stock + long put resembles which structure?

A long call (often called a synthetic long call).

A short straddle.

A short put.

A long bond.

33. A trader who is short 100 shares and long one ATM put has a payoff profile that resembles:

A long stock position that is unbounded on the upside and bounded by zero on the downside.

A long call (synthetic long call) with uncapped upside above the strike and limited loss equal to the premium paid.

A short put with capped upside equal to premium received and substantial downside risk if the stock falls.

A synthetic long call: short stock + long put limits loss above the strike, keeps bearish gains below.

34. A trader sells a $45 put and buys a $40 put in the same expiration, receiving a net credit of $1.20. What is the maximum profit and maximum loss per share?

Max profit $1.20; max loss $3.80

Max profit $3.80; max loss $1.20

Max profit unlimited; max loss $1.20

Max profit $5.00; max loss $0

35. A trader sells an iron condor consisting of selling a $95/105 strangle and buying $90/110 wings, receiving a net credit of $2.00. What is the maximum loss per share?

$2.00 — the net credit received

Unlimited

$10.00 — the wing width

$3.00 — wing width minus credit ($5 wing − $2 credit)

36. When the stock is sitting near the center of an iron condor, the position typically has:

Positive gamma, positive theta, positive vega.

Approximately zero delta, negative gamma, positive theta, negative vega.

Large positive delta because both wings cap risk.

Zero theta because gains and losses from time decay offset across legs.

37. Theta is largest, in absolute dollar terms, for options that are:

Deep in-the-money and long-dated.

At-the-money and short-dated.

Far out-of-the-money and long-dated.

At-the-money and long-dated.

38. A short put position has:

Negative delta.

Zero delta at all times.

Positive delta.

Delta that switches sign as time passes.

39. A stock is pricing in an approximate ±4% daily move. Using the Rule of 16, the implied annualized volatility is approximately:

16%

32%

64%

96%

40. If a stock's 1-day volatility is 2%, what is its approximate 5-trading-day volatility under the standard random walk assumption?

About 2.0%

About 4.5%

About 10%

About 25%

41. Which of the following statements about volatility and variance is correct?

Variance is additive over time and volatility is the square root of variance, which is why volatility scales with √T.

Volatility is additive over time; variance scales as the cube root.

Both volatility and variance scale linearly with time.

Both scale with the square root of time.

42. Why is the Close-to-Close (C2C) volatility estimator considered statistically inefficient compared to range-based estimators?

It is computationally far too slow for modern trading systems to use in real-time volatility calculations.

It includes the overnight gap component, which mechanically contaminates the daily volatility estimate.

It uses only closing prices and ignores the intraday high-low range, discarding useful information.

It requires far too much historical data to produce a stable estimate suitable for short-horizon volatility forecasts.

43. What is the main difference between the Garman-Klass and Yang-Zhang estimators of realized volatility?

Garman-Klass uses log returns in its derivation while Yang-Zhang uses simple percentage returns across the input prices.

Garman-Klass is designed to work only for stocks, while Yang-Zhang is designed to work only for futures and commodities.

Garman-Klass requires implied volatility from the option chain as an input, while Yang-Zhang uses only historical OHLC prices.

Yang-Zhang adds an overnight-gap term; Garman-Klass uses only same-day OHLC and ignores overnight gaps.

44. Why might a 252-day RV calculation produce a misleading volatility estimate in early 2022, when the Fed pivoted from a 'transitory' inflation stance to an aggressive rate-hiking cycle?

Because 252-day lookback windows always systematically overstate volatility during macroeconomic transition periods in markets.

Because realized volatility cannot be properly calculated during environments where short-term interest rates are changing rapidly.

Because the 252 trading day window exceeds the maximum useful sample length for any RV estimator across asset classes.

Because the calculation drags in months of pre-pivot 2021 data from a zero-rate, low-vol regime that no longer applies.

45. A normally calm low-volatility stock has a single surprise 15% gap day in an otherwise quiet 20-day window. What is the danger of using a 20-day RV calculation here?

A single outlier event will be obscured because RV averages it away.

The 20-day window is too short to compute any RV reliably.

RV will look high, potentially misclassifying a one-off shock as a new regime of high background volatility.

RV will always equal the implied volatility going forward.

46. What does the VVIX index measure?

The implied volatility of the VIX itself.

The realized volatility of the S&P 500 over the past 30 days.

The average volatility of all S&P 500 component stocks.

The volume-weighted variance of S&P 500 futures.

47. Compared to equities, gold's typical spot-vol correlation is described in the course as:

Strongly negative — gold's volatility always spikes when prices fall, just like equity indexes during downturns.

Near zero — gold can experience high volatility in both up and down markets as a safe haven.

Identical to equity indexes since both gold and stocks are considered risky assets with similar volatility behavior.

Always positive due to persistent inflation-hedging demand pushing volatility higher whenever gold itself rises in price.

48. For oil and many commodities, the spot-vol correlation often differs from equities by being:

Strongly negative — even more so than equities, with oil volatility spiking sharply whenever oil prices fall hard.

Always exactly zero in any market environment, with no statistical relationship between oil prices and oil volatility.

Often positive — rising oil prices accompany geopolitical tension and supply uncertainty, driving vol up.

Completely uncorrelated to physical supply factors and disruptions in producer countries across the global oil market.

49. When a professional assesses whether implied volatility is cheap or expensive, what is the difference between absolute and relative valuation?

Absolute valuation uses Black-Scholes pricing while relative valuation uses Binomial-tree pricing models for the calculations.

Absolute compares IV to its own history (percentile, IV vs RV); relative compares IV to peers or sectors.

Absolute valuation is inherently forward-looking using projections, while relative valuation is strictly backward-looking using only past data.

Absolute valuation is applicable only to broad index options, while relative valuation is applicable only to single-stock options.

50. If a stock's current implied volatility sits at the 10th percentile of its 1-year history, this is typically interpreted as:

IV is in the bottom 10% of its trailing-year range — historically very cheap relative to itself.

IV is in the top 10% of its history — historically very expensive.

There is a 10% probability IV will rise from here.

The stock has moved 10% over the past year.

51. Why does volatility skew matter for any options trade that uses more than one strike, even if the trader isn't explicitly trying to trade skew?

Because the broker requires you to formally disclose your skew exposure on every multi-strike options trade ticket.

Because skew is a Greek that must be explicitly hedged out of any options spread before it can be executed.

Buying one strike and selling another means you are also trading the volatilities across those strikes.

Because skew always reduces the maximum profit available on every credit spread by an amount proportional to the skew's steepness.

52. If the 30-day IV is 20% and the 60-day IV is 24%, why isn't the 30-to-60-day forward volatility simply 24%?

The 60-day IV already includes the first 30 days; forward vol must be backed out via variance additivity.

Because implied volatility cannot meaningfully be calculated for any expiration windows that exceed 45 calendar days from the trade date.

Because forward volatility is always exactly equal to the simple arithmetic average of the two quoted implied volatilities at each expiration.

Because the 30-day option contract always trades at a structural discount to the 60-day option in any contango term structure environment.

53. A standard long calendar spread is constructed by:

Buying both the near-dated and far-dated options at the same strike.

Selling a call and selling a put at the same expiration.

Selling the longer-dated option and buying the shorter-dated option.

Selling the shorter-dated option and buying the longer-dated option at the same strike and option type.

54. An iron condor can be viewed as a static hedge applied to which structure?

A short strangle, with the long wings serving as upfront protection that defines the risk.

A long straddle, with wings reducing the upfront premium paid.

A naked short put, with the long wings hedging only the downside.

A covered call, with the wings replacing the underlying stock.

55. For a long-gamma trader, the course's hedge-band guidance suggests:

Using a much wider hedge band, around 20 to 30 deltas, to avoid trading too often and incurring excess spread costs.

Never hedging the position because positive gamma alone is enough to deliver profit as the underlying moves around.

Use a tighter band (5-10 deltas), hedging back to near zero, since rebalancing trades monetize realized movement.

Hedging only when the position eventually turns negative gamma, since hedging long-gamma positions destroys their natural edge.

56. Gamma scalping by a long-gamma trader involves:

Selling more options when IV rises and buying them back when IV falls.

Buying the underlying after dips and selling after rallies to capture realized movement around a delta-neutral position.

Selling the underlying after dips and buying after rallies.

Adding more option contracts each time the position drifts away from neutral.

57. If a trader buys a call option and does NOT delta hedge, what are they implicitly betting on?

Only the direction of the underlying stock over the life of the trade — the volatility view is essentially irrelevant to the position.

Only the volatility of the underlying stock over the life of the trade — the directional view does not factor into the P&L outcome.

A directional bet (positive delta) AND a vol bet (gamma/vega vs theta), with direction dominating single-trade P&L.

Only the time decay component of the option, since theta tends to dominate the P&L outcomes over short-term trading horizons.

58. Why does the Black-Scholes-Merton derivation require the assumption of continuous trading with no price gaps?

Because option prices reset continuously throughout the trading day in response to incoming order flow and underlying moves.

The no-arbitrage replication argument needs continuous rebalancing of a stock-and-cash portfolio, which fails on gaps.

Because the BSM framework was specifically designed for use only by high-frequency trading firms that operate at sub-second timescales.

Because the assumption of constant volatility throughout the option's life mathematically implies continuous trading in the underlying.

59. If an option's daily volatility is approximately 1.5%, what is the corresponding annualized volatility using the standard 252-trading-day convention?

About 9.5%

About 24%

About 75%

About 380%

60. Suppose a stock's simple returns over three days are +10%, −5%, and +8%. What is the true total return over the period, and what does this illustrate about simple returns?

The true total return is 13.00% — simple returns are additive.

The total return is undefined when one of the simple returns is negative.

The true total return is 15.0% — simple returns understate compounding by 2%.

The true total return is 12.86% — simple returns require multiplicative compounding rather than addition.

61. A biotech stock had a 40% drop on a single failed-trial day during the past 30 days. What is the trade-off in deciding whether to include that day in the 30-day RV calculation?

Including the outlier always systematically overstates RV; excluding it always understates RV — only excluding the day produces a correct estimate.

Including it captures tail risk but distorts the baseline; excluding it cleans the estimate but discards real info.

Including the 40% drop in the RV calculation is required by regulation for all professional RV computations performed at registered firms.

Outlier days like this one are automatically removed from all standard realized-volatility estimators by their built-in filtering routines.

62. The behavioral bias called 'herding' refers to which tendency?

Following the actions of a larger group, contributing to bubbles and crashes that overshoot fundamental value.

Selling winning positions too early to lock in small profits while holding losing positions too long in hopes of recovery.

Overweighting easily recalled or vivid recent events when estimating probabilities of future outcomes in financial markets.

Reacting too strongly to new information so that asset prices swing further than the new information would justify.

63. According to the course, traders overreacting to dramatic news tend to:

Underreact and leave persistent mispricings in place for weeks at a time after major news events hit the wire.

Always close out their positions in the affected names before the news is publicly released to the broader market.

Cause prices to swing further than the new information justifies, producing distortions.

Aggressively hedge their existing portfolios using VIX futures and other volatility products around the news event.

64. The course lists three benefits of quantification in trading. Which is NOT one of them?

Objectivity — removing the emotional 'feel' from individual trades.

Estimation — understanding potential drawdowns and P&L paths so the trader isn't surprised.

Falsification — providing a framework to disprove your own hypotheses, like a scientist.

Optimization — finding the strategy that always wins on every trade.

65. The course states that 'good trading is boring' because:

Excitement and high-frequency action are signs of overtrading or seeking entertainment rather than +EV opportunities.

Boring positions are statistically the most profitable in every market.

Brokers reward boring strategies with reduced commissions.

Excitement increases the dopamine response and improves decision-making.

66. Why does the course argue retail traders shouldn't try to out-model PhDs at large institutions on volatility estimation?

Because institutions are legally entitled to use better quantitative models than retail traders are allowed to use in their accounts.

Because retail computers cannot run the Black-Scholes-Merton model at sufficient speed to be useful for live trading decisions.

Institutions have quant teams and computing power; retail's marginal modeling improvement is small.

Because retail traders are legally barred from publishing quantitative research about volatility estimation in any public venue or platform.

67. A trader running a previously profitable strategy hits a six-month drawdown. The key distinction the course emphasizes is between:

Normal variance in a still-valid +EV strategy versus parameter uncertainty signaling the edge has actually disappeared.

Whether the drawdown happened over a window of more than 30 trading days or developed over fewer trading days than that.

Whether the trader has personally experienced this exact same dollar magnitude of loss before in a prior trading period.

Whether the broker has recently changed margin requirements on the kinds of positions the strategy holds in the account.

68. The course notes that the Volatility Risk Premium is described as a 'generality' — meaning:

The variance risk premium is available only during regular trading-hours sessions and disappears outside those windows.

It exists on average but isn't present on every stock at every time, so trades still need their own assessment.

It applies only to broad index options and does not extend to options on individual single-name stocks across the market.

It is fully arbitraged away within 24 hours of being publicly discovered by any participant in the volatility markets.

69. The 'availability heuristic' example given in the course relates to:

Traders piling aggressively into upside call options shortly after a strong bull market run begins to take hold in the broader market.

Traders ignoring all incoming fundamental news flow and relying solely on chart patterns to make their trading decisions.

Traders systematically over-buying protective puts right after a crash because crashes are vivid in memory.

Investors holding their losing stock positions too long in hopes of an eventual recovery to their original entry price.

70. Which of the following is an example of RELATIVE valuation of implied volatility?

Checking where the stock's current implied volatility sits within its own trailing-one-year percentile range to gauge richness.

Comparing the IV of two competing companies that normally trade with similar vol profiles to spot divergences.

Comparing the stock's current implied volatility to its recently realized volatility on the same underlying name over the trailing month.

Looking at the steepness of the IV skew on a single stock and comparing it against the historical norms for that same name.

71. If a tech stock's IV is trading 20 vol points above the IV of the Nasdaq 100 (QQQ) — a historical extreme — the course frames this as:

A relative-value signal that the stock's IV is potentially expensive versus its sector benchmark.

Strong proof that the stock will crash within the week.

Confirmation that the broader market will outperform tech.

Reason to definitely buy the stock immediately.

72. In the course's analogy, the 'house flipper buying deeply distressed properties at auction' represents:

The buy-and-hold equity risk premium that long-term passive investors capture from broad stock market participation.

Harvesting a structural risk premium that scales with high capacity and forms the backbone of an institutional trading business.

Exploiting fleeting inefficiencies — large one-off profits when they appear, but not a repeatable foundation.

Algorithmic high-frequency trading operations that profit from sub-second mispricings in highly liquid securities markets.

73. The course describes the risk profile of a short straddle as 'convex.' What does this mean?

Losses are bounded by a fixed dollar amount regardless of how far the underlying moves away from the strike.

Gains accelerate non-linearly while losses simultaneously decelerate as the underlying moves away from the short strike.

P&L is perfectly symmetric and linear in underlying stock price moves in either direction from the strike.

Losses accelerate non-linearly as the underlying moves further from the strike, due to negative gamma.

74. Why does the course note that a naked short call has theoretically unlimited risk while a naked short put has 'substantial but bounded' risk?

Stocks cannot rise above their strike, while they can fall arbitrarily far below it without any natural lower bound on the price.

Stock prices have no upper bound (unbounded short-call loss), but cannot fall below zero (short-put loss capped).

Naked short calls require physical delivery of the shares at expiration while naked short puts are always cash-settled in cash.

Brokers automatically cap the maximum loss on short puts but do not cap any losses on short call positions held by clients.

75. What does the course mean when it calls markets 'adaptive systems'?

Market hours adjust automatically to global time zones across exchanges around the world based on shifting participant demand.

Markets always close at fixed scheduled times each day regardless of underlying volatility or geopolitical conditions in the broader environment.

As traders find profitable signals, competition erodes them — past strategies aren't guaranteed to keep working.

Exchanges automatically halt trading in a security whenever its realized volatility exceeds an arbitrary threshold of around five percent per day.

76. Per the course, what does survival in financial markets require?

Finding one specific strategy that works and committing to never modifying it, since changing strategies dilutes the original edge.

Constantly refining models, finding new niches, and adapting — others are learning too, so standing still is falling behind.

Diversifying broadly across as many asset classes as possible to minimize portfolio risk and produce smoother long-term returns.

Doubling the position size after each losing trade in order to recover prior losses more quickly with the next winning trade.

77. Why does the course say that even when you get filled near the mid of the bid-ask spread, your mark-to-market P&L typically shows a small immediate paper loss?

Because exchanges charge a per-contract fee that is automatically netted into the displayed P&L on every options trade across the order book.

Because option prices always systematically drift down in the first minute after a trade is executed, regardless of underlying movement.

Because the mid-price quotes used by brokers are typically stale and significantly lag the real-time prevailing market quotes.

Brokers mark longs at the bid and shorts at the ask — an immediate exit requires crossing the spread.

78. A trade has a 60% probability of making $50 and a 40% probability of losing $80. What is its expected value per trade?

−$30, since the loss size is larger than the win size.

$0, since the size disadvantage exactly offsets the probability advantage.

−$2, the difference between average win and average loss.

−$2, computed as 0.60·$50 − 0.40·$80 = $30 − $32 = −$2.

79. When a professional looks at whether a stock's volatility skew is 'unusually steep or flat compared to historical norms,' which type of valuation are they performing?

Absolute valuation — comparing the current skew to the stock's own historical skew.

Relative valuation — comparing the stock to a peer's skew.

Forward valuation — calculating the skew for a future window.

Cross-asset valuation — comparing equity skew to credit skew.

80. The course's 'two sentence' test for edge says:

If you cannot explain your edge in two sentences to a child, you probably don't have a real edge.

Edge must always be backtested over at least two full calendar years of historical data before being deployed in live trading.

Edges that can be described in only two sentences of explanation are systematically weaker than those requiring elaborate written justifications.

Edges are graded on a strict two-point scale by independent professional risk managers before any capital is allocated to them.

81. Why does the course emphasize that drawdowns are 'not a sign that something is broken'?

Because brokers automatically increase their internal margin requirements during drawdowns, which prevents further losses from accumulating.

Drawdowns are a normal part of any probabilistic edge — even +EV strategies spend most time below new equity highs.

Because drawdowns must always reach exactly ten percent before any professional strategy should be questioned or fundamentally reassessed.

Because professional traders virtually never experience drawdowns of more than five percent during their entire trading careers across all strategies.

82. Under strict weak-form efficiency, technical analysis based on chart patterns should:

Consistently outperform any other approach to trading, including fundamental analysis and quantitative model-driven strategies.

NOT consistently produce an edge — predictive patterns in past prices get arbitraged away by algorithms.

Work consistently for individual single-name stocks but fail to work for ETFs and other diversified basket-style instruments across the market.

Work only when combined with traditional fundamental analysis of the underlying company's financial statements and business prospects.

83. A strategy wins 95 out of 100 trades for $10 each, but the 5 losing trades lose $300 each. What is the expected value per trade, and what does the course warn this illustrates?

EV = +$9.50 per trade, illustrating that any high-win-rate strategy is reliably profitable on a per-trade expected basis.

EV = $0 per trade, illustrating that this strategy is perfectly fair and break-even on an expected-value basis across the sample.

EV = −$5.50, illustrating that high-win-rate strategies can still be −EV when losers wipe out many winners.

EV = +$300 per trade, illustrating that the strategy's small number of winning months dominates the overall expected profit across the year.

84. Why does the course argue you cannot build a durable trading business around exploiting inefficiencies?

Because regulators have outlawed all inefficiency-based trading strategies across professional and retail trading accounts in every major financial jurisdiction.

Because inefficiencies are inherently too risky to fit into any professional risk management framework or to be sized appropriately for a trading book.

Inefficiencies are fleeting, low-capacity, and unpredictable, so they can't anchor a consistent revenue stream.

Because brokers categorically refuse to allow any trades on identified inefficiencies in their client account agreements and trading platforms.

85. At what level of maintenance margin (as a percentage of NLV) does the course suggest you should start de-risking the portfolio?

Around 15% of NLV.

Around 30% of NLV.

Around 50% of NLV.

Around 75% of NLV.

86. Among the VRP-predictive features OQuants tested, what term structure slope is generally associated with better short-volatility returns?

A flat term structure with no slope.

A sharply backwardated term structure.

A more positive (upward-sloping, contango) term structure.

A randomly shaped term structure with no consistent direction.

87. What relationship between IV and recent RV is associated with better short-volatility returns according to the OQuants tests?

IV/RV well below 1.0 — IV is below recent RV.

IV/RV exactly equal to 1.0.

IV/RV irrelevant — only IV percentile matters.

A high IV/RV ratio — current IV substantially above backward-looking RV.

88. Why does the VRP screener explicitly exclude positions that span earnings events?

Earnings events introduce binary jump risk that distorts IV-RV.

Earnings-period options trades are illegal under SEC rules and prohibited at most regulated brokerage accounts for retail traders.

Brokers automatically close all open options positions in a name through that name's earnings announcement window each quarter.

Earnings events always produce a guaranteed profit for the option seller side of the trade regardless of how the underlying moves.

89. The course's liquidity filters for the VRP screener include which of the following?

Stocks priced below $5 per share combined with a daily average option volume threshold above 100,000 contracts per trading day.

Only stocks that are current members of the S&P 500 index, with no further filters on liquidity or option volume applied to the universe.

Stocks with an underlying share price above $50 per share, applied with no additional volume threshold of any kind.

Underlying price minimum of $10 and 20-day average option volume of at least 25,000 contracts per day.

90. Why does the course recommend submitting short-volatility option orders near the bid initially and then 'walking the order' down rather than crossing the spread immediately?

Because the exchanges require all options orders to start at the bid before being allowed to walk toward the mid or the ask.

Crossing the spread immediately gives away cents per share; many fills are achievable closer to the mid with patience.

Because options orders cannot be canceled or modified once they have been placed at the ask price during a normal trading session.

Because brokers automatically charge much higher commissions for any options order that crosses the spread immediately on entry.

91. Why does the IBIT iron condor consume considerably less margin than the IBIT short straddle, even though the straddle generates more premium?

Because the iron condor is built on a smaller underlying with less notional value than the straddle's underlying instrument.

Because iron condors pay higher per-contract commissions, which the rule-based margin system incorporates into a more favorable requirement.

Because the short straddle has substantially more open interest than the iron condor, which mechanically raises its margin requirement.

Covered structures with defined risk via long wings are margined differently — the wings cap risk and reduce margin.

92. Why does the course note that almost every option spread shows a small negative unrealized P&L immediately after a fill, even when the trade was executed at a fair price?

Because the broker secretly takes a hidden percentage cut of every option trade that gets executed in the client account.

The broker marks at bid (longs) or ask (shorts) for liquidation, which sits below the mid where most fills occur.

Because option contract prices always systematically drop in the first minute after a fresh trade has been executed and reported.

Because options decay through theta only after they have been actively owned in a trading account by an end-user trader.

93. The 'effective fill IV calculator' described in the course translates a candidate fill price into:

The implied volatility you actually sold or bought given the fill price, so you can compare it to your RV forecast.

The probability that the trade will be profitable by expiration based on the current state of the underlying and the volatility surface.

The official exchange settlement price of the option contract that will be used at expiration to compute the contract's final value.

The maintenance margin requirement that the broker will charge against your account equity for holding the position overnight.

94. On the day the trader exits the IBIT positions, the optimal delta hedge calculator suggests buying shares to keep the position within its delta band, but the trader closes instead. Why?

Because the position had reached its theta-decay maximum and could no longer accrue additional positive time-decay P&L through hedging.

Because the broker required closing the position by sending an automatic message that mandated the trade be flat by the end of the session.

IV dropped below the RV forecast, satisfying the exit trigger; closing locks in the gain rather than hedging further.

Because shares of the IBIT ETF became hard to borrow that morning, making the planned stock hedge impossible to execute at a reasonable cost.

95. Which of the following describes the conditions that made the IBIT trade attractive when the trader entered?

A backwardated volatility term structure together with rising realized volatility and implied volatility approaching realized volatility from above.

Falling RV, relatively high sticky IV, and a clearly upward-sloping (contango) term structure.

An imminent corporate earnings announcement creating a large potential IV crush opportunity around the event window.

Strong upside skew on the call side indicating heavy speculative retail call buying in the name across recent sessions.

96. Why does the course emphasize that maintenance margin must be monitored continuously, not just at trade entry?

Because brokers automatically increase margin requirements every quarter on a fixed schedule that is published in advance to account holders.

Because maintenance margin only matters on the actual expiration date of the option contracts in the position rather than throughout the trade's life.

Because the broker only recomputes the account's margin requirement at the moment the trader actively logs into the trading platform.

Margin moves with prices, vol, P&L, and discretionary house-margin increases — sometimes without notice.

97. When choosing between a short straddle and a short iron condor on the same underlying under a rule-based margin regime, the central trade-off is:

Short straddles always win in every account configuration, so iron condors should essentially never be used by any trader in any market regime.

Iron condors are unconditionally always more profitable than straddles across every underlying and every market regime that a trader might encounter.

Straddles capture more vol edge but consume more margin; condors can offer better return on margin with less absolute edge.

Iron condors require physical delivery of the underlying shares at expiration, while short straddles are always cash-settled in the trader's account.

98. If a trader sells $4,000 total in option premium and collects $1,400 of profit after closing, what is the return on credit sold?

About 28%

About 35%

About 50%

About 100%

99. Looking back at the four trades, why was the GME position generally less attractive than the IBIT position on a return-on-margin basis?

Because GME is fundamentally more retail-driven than IBIT, which made the position less attractive on a return-on-margin basis.

Because GME had materially higher commissions per options contract than IBIT, eroding the trade's expected return on margin consumed.

GME's edge per dollar of margin was much smaller; IBIT was more capital-efficient with larger edge per unit of margin.

Because GME and IBIT were listed on different exchanges with different fee schedules, which produced the gap in return-on-margin metrics.

100. If a portfolio returns 1.16% over a two-week period (14 days), what is the approximate annualized return assuming a roughly linear extrapolation across the year?

About 5%

About 15%

About 35%

About 80%

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Final Exam

Final Exam