Measuring with the Wrong Ruler - How Percent Returns Mislead Options Traders

Market RebellionAbout 4 min readJan 23, 2026Watch original
THE SUMMARYAI-generated

Key Concepts

  • Notional Value: The total underlying exposure controlled by an option contract.
  • Delta: A measure of an option's price sensitivity to changes in the underlying asset's price; represents the effective exposure.
  • Implied Volatility: The market's expectation of future price fluctuations of the underlying asset.
  • Dollar Exposure: The actual monetary value at risk or potential gain in a trade, considered more important than percentage gains.
  • Risk Migration: The concept that risk isn't eliminated through hedging, but rather transferred to another area.
  • Ruler Problem: The error of comparing investments using inappropriate metrics (percentages vs. dollars).

The Illusion of Percentage Gains: Why Traders Use the Wrong Ruler

The core argument presented is that traders frequently misjudge opportunities by focusing on percentage gains rather than the absolute dollar amounts they stand to earn. This stems from a fundamental misunderstanding of scale and how options pricing truly works. The analogy of the Chicago Bears football field versus the city of Chicago illustrates this point: comparing distances using different units (yards vs. miles) leads to a nonsensical conclusion. Similarly, comparing options based solely on percentage returns ignores the underlying economic reality.

The Problem with Percentages

Percentages are inherently misleading because they lack an economic scale. While a 100% gain feels more significant than a 50% gain, without knowing the base amount, the actual economic impact is unclear. A 100% gain on a small investment may yield a negligible dollar amount, while a 50% gain on a larger investment can be substantially more profitable. The speaker emphasizes that “percentages feel objective, scientific, and fair. Yet, they quietly erase the one thing markets actually care about, dollars.” The issue isn’t that percentages are incorrect, but that they don’t provide a meaningful comparison without context. A 0% increase, for example, doesn’t signify no value, merely no change in value.

Notional Value and Delta: The Correct Measuring Sticks

The video introduces notional value as the total underlying exposure controlled by an option. However, the speaker clarifies that the relevant metric is delta-adjusted notional value. Delta represents the sensitivity of the option price to changes in the underlying asset and effectively shows how many shares you are controlling.

The example of Iron Limited (IRN) versus the S&P 500 highlights this discrepancy. A $13 call option on IRN with 100% implied volatility might seem attractive due to the potential for a large percentage gain. However, its delta-adjusted notional value is only $20, meaning you’re paying 65% of the value for that exposure. Conversely, an S&P 500 call option at $336 appears expensive, but its delta-adjusted notional value is $342,000, representing only about 10% of the effective position size. Therefore, the S&P option is comparatively cheaper when measured correctly. As the speaker states, “Expensive options are often cheap. Cheap options are often expensive.”

Case Study: Iron Limited vs. S&P 500 (December 12th, 2025)

  • Iron Limited (IRN): $40 stock price, $13 call option (152-day expiration, 100% volatility). Delta-adjusted notional value: $20. A 50% stock increase to $60 yields a $700 profit on the option, but requires a 33% rise just to break even. There's a 25% chance of rising above the break-even price and a 19% chance of reaching $60.
  • S&P 500: 6,827 stock price, $336 call option (151-day expiration). Delta-adjusted notional value: $342,000. A 5% stock increase yields a $34,000 profit, with a 45% probability of occurring.

This comparison demonstrates that while IRN offers a higher percentage return, the S&P 500 offers a significantly larger dollar return with a higher probability of success.

High Volatility: A Misleading Indicator

The video challenges the common belief that high implied volatility automatically equates to a good opportunity. High volatility simply indicates a wider range of potential outcomes, not necessarily a profitable one. The price of an option reflects the probability of a favorable outcome, and a high price (like that of S&P options) is often justified by the underlying asset's value and the insurance it provides. “High implied volatility only means something might happen. A high price level determines how much you get paid when it does.”

Institutions vs. Retail Traders

The speaker points out that institutional traders focus on dollar exposure, while retail traders are often distracted by percentages. This difference in perspective leads to suboptimal trading decisions. Institutions understand that capital efficiency and managing large exposures are paramount, while retail traders are often lured by the allure of quick, percentage-based gains.

Risk Mitigation vs. Risk Migration

The video concludes by foreshadowing the next topic: the misconception of risk reduction through hedging. The speaker asserts that hedging doesn’t eliminate risk; it merely moves it. Understanding where that risk has been transferred is crucial to avoid unexpected losses. “Risk mitigation is simply risk migration.”

Conclusion

The central takeaway is that traders must prioritize dollar exposure over percentage gains. By focusing on notional value, delta, and the underlying economic realities of options pricing, traders can avoid the trap of chasing illusory profits and make more informed, profitable decisions. The market itself is not deceptive; it’s the flawed “ruler” – the inappropriate metric – that leads to misinterpretations.

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