When a convertible bond is undervalued due to a mispriced conversion factor, it means that its price on the market is lower than its intrinsic value when compared to the projected conversion value in the company's stock. Therefore, the most direct way to exploit this is by buying the convertible bond, expecting its price to rise as the market recognizes and corrects the discrepancy. Simultaneously, to hedge against potential downside risk in the underlying stock, the trader can short the common stock. This way, if the stock price decreases, gains from the short stock position can offset potential losses from the long convertible position

Choice A is incorrect. If the convertible bond is undervalued, it doesn't make sense to short it. Instead, one would want to buy or go long on it. Going long on the stock without a corresponding hedge also increases the risk.

Choice B is incorrect. Shorting both the convertible security and the stock doesn't take advantage of the bond's undervaluation. Instead, it suggests that both the bond and the stock are overpriced, which isn't the scenario presented.

Choice D is incorrect. While going long on the convertible makes sense in the context of its undervaluation, simultaneously going long on the stock doesn't provide the hedge that a typical arbitrage strategy seeks. If the stock price drops, both the convertible bond and the stock position could potentially suffer losses.

Things to Remember

• Convertible arbitrage is a market-neutral investment strategy often employed by hedge funds. It involves the simultaneous purchase of convertible securities and the short sale of the same issuer's common stock.
• The profitability of convertible arbitrage is primarily dependent on the price movements of the underlying stock. However, other factors such as interest rates, credit spreads, and company-specific news can also impact the strategy's performance.
• Convertible arbitrage can provide a hedge against market volatility. This is because the long position in the convertible bond tends to increase in value when the market rises, while the short position in the stock tends to gain when the market falls.
• Despite its potential benefits, convertible arbitrage is not without risks. These include credit risk (if the issuer defaults), liquidity risk (if the convertible bond or stock becomes difficult to trade), and execution risk (if the hedge fund manager is unable to establish or unwind the positions at favorable prices).