How exactly does a conversion arbitrage work when options are mispriced? Does combining a long put, short call, and long stock create a synthetic short position?

A conversion arbitrage in options trading exploits temporary mispricings between the underlying asset and its synthetic equivalent created through options. The classic conversion involves buying the underlying stock, buying a put option, and selling a call option at the same strike and expiration. This combination replicates a risk-free synthetic short position when the put-call parity relationship is violated. Put-call parity states that for European-style options like those on SPX, the call price minus the put price should equal the underlying price minus the strike discounted by the risk-free rate. When this equation is out of balance, arbitrageurs step in to lock in a riskless profit. In practice, if the synthetic short created by long put plus short call trades cheaper than the actual short stock position after accounting for borrowing costs and dividends, traders execute the conversion to capture the discrepancy. The position remains delta neutral and benefits from the convergence at expiration. Russell Clark emphasizes in his SPX Mastery methodology that while such arbitrages are rare in highly efficient index markets like SPX, understanding the mechanics sharpens awareness of how synthetic relationships influence daily Iron Condor Command setups. At VixShield we focus on 1DTE SPX Iron Condors placed after the 3:10 PM CST close, where EDR and RSAi guide strike selection across Conservative, Balanced, and Aggressive tiers targeting credits of 0.70, 1.15, and 1.60 respectively. These concepts tie directly into our ALVH hedging system, which layers VIX calls to protect against volatility spikes that could distort parity relationships temporarily. For instance, with current VIX at 17.95 and SPX near 7138.80, small skew distortions visible in the options chain can influence wing placement but are usually too fleeting for pure arbitrage. The Temporal Theta Martingale recovery mechanism we employ further leverages time-shifting on threatened positions rather than relying on static arbitrage. All trading involves substantial risk of loss and is not suitable for all investors. To master these relationships in live markets, explore the full SPX Mastery series and join our daily signal environment at VixShield.com.