Sizing the Risk: Kelly, VIX, and Hybrid Approaches in Put-Writing on Index Options

If you’ve ever wondered how professional traders harvest volatility risk premium without getting wiped out in a crash, this post is for you. A recent study digs into the “how” of selling volatility through put options on the S&P 500, focusing on how you size your bets. The punchline? Tiny, carefully sized, ultra-short-dated bets can beat bigger, bolder moves—especially when you blend different sizing ideas to adapt to market moods.

Introduction: Why Put-Writing and How Sizing Shapes ReturnsThe volatility risk premium (VRP) is the phenomenon where implied volatility (the price the market assigns to future risk) tends to be higher than what actually unfolds. In plain terms: option sellers collect premiums that often outpace realized losses, but only if you’re careful about when and how much you sell.Put-writing—selling put options on broad market indices—has long been viewed as a direct way to harvest this premium. Most options expire worthless, letting sellers keep most of the premium. The catch: the tail risk is real. A rare but sharp downturn can lead to outsized losses.The big question the study tackles: how should you size your put-selling bets? The answer isn’t one-size-fits-all. The paper compares three approaches:Kelly criterion-based sizing (a math-driven method that aims to maximize long-run growth while avoiding ruin),VIX-based volatility regime sizing (adjusting exposure based on the current level of market fear),A novel hybrid that blends both ideas.What the Study exploresInstrument: SPXW options (S&P 500 index options with weekly expiries), focusing on ultra-short horizons from same-day to 5 days.Design space: a wide range of bets—different moneyness (how far in/Out of the money), various ways to estimate volatility, and multiple memory horizons (how much past data you use to forecast the future).Goal: understand how sizing methods interact with strategy design (time-to-expiration, moneyness, volatility estimates) to shape risk-adjusted performance.Three Sizing Methods, in Plain LanguageKelly sizing: Think of it as a growth-maximizing bet. It tries to optimize how much capital to risk given your expected return and risk (variance). In options, this requires careful estimates of how much you expect to earn from selling a put and how volatile those returns might be. The idea is to avoid ruin while chasing the long-run growth.VIX-based regime sizing: This approach uses the market’s current fear gauge (the VIX) to decide how much exposure to take. When fear is high (high VIX), the premium for selling puts tends to be richer, so you can take on more exposure. In calmer times, you scale back. It’s a regime-aware method that aims to avoid piling into risk when the environment favors tail losses.Hybrid sizing: The study’s big contribution is a dynamic blend. The hybrid uses forward-looking Monte Carlo (to estimate potential outcomes) together with real-time volatility signals to decide position size. The goal is to capture the upside from volatility premia while keeping tail risk in check, across shifting market regimes.Key Findings: What actually performed wellUltra-short-dated, far out-of-the-money options shine on a risk-adjusted basis.In other words, selling very short-dated puts that are a bit out of the money often provided attractive returns for the risk taken, thanks to the rapid time decay and higher odds that they expire worthless.The hybrid sizing method consistently offers a balanced approach.It tends to deliver solid return generation while keeping drawdowns more contained, especially in low-volatility environments (the paper notes conditions similar to what we saw in 2024).Regime-aware and dynamic sizing matters.Simply selling a fixed amount of risk or relying on a single sizing rule can expose you to bigger losses when market conditions change. Blending forward-looking assessments with real-time volatility signals helps adapt to regime shifts.What this means for practical option tradingSizing matters as much as what you sell.The study reinforces a core risk-management idea: not all premium is created equal, and how much you risk on a single trade can determine whether the long-run results look like a win or a crash.Short-dated, out-of-the-money bets can be a sweet spot.If you’re comfortable with tail risk and have a disciplined risk-control framework, these ultra-short horizons can deliver favorable risk-adjusted outcomes due to rapid option time decay and favorable premium capture.A dynamic, regime-aware framework reduces stress tests.In years or periods of low volatility, drawdowns can creep in if you’re naive about risk. A sizing method that reduces exposure in mellow times and increases it when fear is high can help smooth performance.Practical implications and how to think about applying these ideasConsider a hybrid sizing approach if you’re constructing a volatility-selling program.Use Monte Carlo-inspired forward-looking checks to gauge potential outcomes.Combine with real-time signals like VIX (or similar measures) to adjust exposure as market tone shifts.Favor ultra-short-dated, slightly out-of-the-money puts for systematic selling.These options often offer robust time decay and premium relative to the risk of a sudden move, especially when managed with careful position sizing.Rollovers matter.The study highlights a practice of frequent rollovers according to option expiry. This “refresh” can help you stay aligned with the current regime and reduce the drag from stale positions.Build-in risk controls for fat-tailed risk.Given the nonlinear payoff of options, even a well-sized portfolio can experience outsized losses if regime shifts aren’t accounted for. A diversified sizing framework and disciplined stop/roll rules are crucial.Limitations and things to keep in mindReal-world implementation requires careful parameter choices.The Kelly approach depends on accurate estimates of expected return and variance, which can be sensitive to market regime and input data quality.The study focuses on a specific instrument and horizon.Results are based on SPXW options with very short expiries. Different assets or longer horizons may yield different dynamics.Markets evolve.Past performance under specific regime conditions (e.g., 2024-like calm periods) may not repeat. Ongoing validation and adaptation are key.Takeaways: What to take away from this researchSizing is central to long-run success in volatility-selling strategies.A hybrid approach that blends forward-looking risk estimates with real-time volatility signals offers a robust path through changing market regimes.Ultra-short-dated, far out-of-the-money puts can deliver favorable risk-adjusted returns, especially when rolled and managed carefully.Dynamic, regime-aware strategies help protect against drawdowns during calmer or turbulent periods alike.Conclusion: A Dynamic, Accessible Way to Harvest Volatility Premia


The bottom line is both intuitive and powerful: selling volatility can be a reliable source of premium, but only if you size your bets in a way that respects the market’s mood. By blending the theoretical rigor of the Kelly criterion with real-time volatility signals, and by prioritizing ultra-short-dated, slightly out-of-the-money options with thoughtful rollovers, you can pursue attractive returns while keeping the risk of big drawdowns in check. This study adds a practical toolkit for enthusiasts and institutions alike—one that emphasizes adaptability, disciplined risk control, and a clearer path to capital-efficient exposure to volatility premia.

If you’re curious to explore further, start with these takeaways:

Experiment with short-dated put-selling strategies using a hybrid sizing framework.Use regime signals (like VIX levels) to adjust exposure, rather than keeping a fixed allocation.Favor slightly out-of-the-money, ultra-short expiries, and implement frequent rollovers to stay aligned with current conditions.Always pair return targets with a strong risk-management plan to guard against tail risks.

This is a compelling reminder that in the world of volatility, smarter sizing can be as important as the choice of what you sell.

The post Sizing the Risk: Kelly, VIX, and Hybrid Approaches in Put-Writing on Index Options appeared first on Jacob Robinson.

 •  0 comments  •  flag
Share on Twitter
Published on September 09, 2025 11:00
No comments have been added yet.