Off the desk | Arbitrage | April 2026
Turning Complexity into Opportunity: The Power of Delta Hedging
Convertible bonds combine credit exposure with embedded equity optionality. Our Arbitrage team highlights how delta hedging can potentially turn volatility into incremental portfolio returns
At PICTON Investments, our arbitrage team views convertible bond arbitrage as a differentiator and diversifier. Some market participants miss a subtle driver of performance: the “long volatility” component embedded in the convertible.
Convertible bonds can be thought of as two pieces: a bond and a warrant (or embedded call option) on the issuing company’s stock. Most valuation models reflect this, discounting the bond’s cash flows and using a Black-Scholes framework to value the embedded option. The sum of these parts gives the total bond value. Where most investors get tripped up is in understanding why being long volatility is beneficial. At PICTON Investments, we aim to dissect the mechanics of how equity volatility directly contributes to P&L. We can observe how movements in the underlying stock (up or down) create opportunity, while insufficient price movement exposes the strategy to decay in option value.
Central to our approach is delta hedging. Delta measures the sensitivity of the convertible bond to changes in the underlying stock price. For example, a bond with a delta of 70% can be conceptualized as 70% stock. However, it is important to remember that the delta often changes with the stock price. If the stock price increases, the delta typically increases and vice versa. Now let’s say the stock price increases such that the bond is modelling as 75% stock, we would then have to short an additional 5% of the shares the bond converts into to remain delta hedged. If the stock price were to come back down to the original level where the bond was modelling at 70% stock, we would then have to cover back that 5% of the conversion shares. This results in us selling short more shares when the stock price increases and buying shares back (covering) when the stock price decreases, or simply put, buying low and selling high. The act of delta hedging can generate positive P&L and helps explain why the value of an option increases with the volatility of the underlying stock price.
Our historical analysis in positions like Norwegian Cruise Line Holdings Ltd. (NCLH) illustrates this process in action. We held a long position in the bond while actively delta hedging the underlying stock. As the stock price increases, we short more stock (denoted by the red arrows) and buy stock back (denoted by the green arrows). The beautiful thing about convertible bond arbitrage is that while all of this is happening, we are earning a coupon the same way you would on a straight bond. The short stock position also allows us to protect the credit of the bond since the bond is more senior in the capital structure and will generally depreciate less than the stock on adverse events.
At PICTON Investments, convertible bond arbitrage can illustrate how disciplined equity analysis, applied thoughtfully, can reveal opportunities overlooked by others. Our focus on volatility, delta, and the interplay between equity and credit illustrates the depth of insight we bring to portfolios, and shows our ability to uncover value others miss.
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