Jelly Roll

The name 'Jelly Roll' comes from the visual appearance of the strategy when drawn as a payoff diagram across time - the rolling synthetic positions at different expirations resemble a rolled pastry. It's also called a 'Time Spread Conversion' in more formal contexts.

Rarely. Genuine Jelly Roll arbitrage opportunities are quickly captured by professional traders with lower costs and faster execution. By the time retail traders can access quotes and execute, opportunities usually disappear. The strategy is primarily educational for retail traders.

Partial execution creates unwanted directional or volatility exposure. For example, executing only the synthetic long leaves you with unlimited directional risk. Always use multi-leg orders and cancel if not fully filled.

Theoretically yes, if executed correctly. However, real-world risks include: execution risk (partial fills), assignment risk (American options), model risk (wrong dividend/rate assumptions), and operational risk (errors). These can eliminate or reverse the arbitrage.

Significant capital is required for margin on the short option positions. For FTSE options, margin might be £5,000-10,000 per contract. You also need reserves for potential assignment. The arbitrage profit is typically small relative to capital required.

Theoretical value = Strike × r × (T2 - T1) - PV(Dividends between T1 and T2), where r is the risk-free rate and T1, T2 are times to expiration in years. For precise calculation, use JR = Strike × (e^(-r×T1) - e^(-r×T2)) + Dividend(s) discounted.

Jelly Roll value is proportional to the strike price (the interest rate component is Strike × rate × time). Higher strikes have higher theoretical values because more 'notional' capital is involved in the carry calculation.

If a short option is assigned early, you acquire or deliver stock. This changes your position from pure synthetic to mixed stock/options. You must manage the stock position (close or hold) and adjust remaining options. Assignment typically occurs near ex-dividend or when options are deep ITM.

Theoretically, call synthetic (Call - Put) and put synthetic should be equivalent by put-call parity. In practice, check which has better liquidity and tighter spreads. Sometimes one side is relatively mispriced, affecting Jelly Roll attractiveness.

If the announced dividend differs from what was priced into options, your Jelly Roll may become more or less valuable. This is a form of model risk. If dividend is higher than expected, your position loses value (you missed dividend in synthetic). If lower, you gain.

Stock borrow costs reduce Jelly Roll theoretical value. Adjusted formula: JR = Strike × (r - borrow) × (T2 - T1) - Dividends. For hard-to-borrow stocks with 5%+ borrow rates, this significantly reduces or eliminates arbitrage opportunity.

Opportunities arise from: 1) Dividend uncertainty before announcements, 2) Lagged option repricing after rate changes, 3) Structural supply/demand imbalances, 4) Market stress causing temporary dislocations, 5) Cross-market inefficiencies. All are typically brief and small.

Institutions compare option-implied rates to their actual funding costs. If implied rate is lower, they can 'borrow' synthetically via Jelly Roll cheaper than direct borrowing. If implied rate is higher, they can 'lend' at better rates. This is a form of funding arbitrage.

Both are arbitrage strategies. Box Spread uses four options at same expiry (two strikes) to create synthetic lending/borrowing. Jelly Roll uses four options at same strike (two expiries) to exploit cost of carry. Box tests put-call parity within expiry; Jelly Roll tests it across expiries.

Build a scanner that: 1) Calculates theoretical value for all strike/expiry combinations using rate curve and dividend estimates, 2) Compares to real-time market-implied values, 3) Filters for mispricing > transaction cost threshold, 4) Ranks by expected profit and execution probability. Run continuously during market hours.