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Based on the most helpful WSO content, the specific names of hedge funds focusing on convertible bond arbitrage aren't directly listed. However, convertible bond arbitrage is a significant strategy employed by various hedge funds to earn profits based on scenarios involving convertible bonds issued by companies. This strategy typically involves taking a long position on the convertible bond while hedging with a concurrent short sale of the underlying stock.

While the context doesn't provide a list of the best hedge funds in this space, it's important to note that hedge funds employing convertible bond arbitrage are likely to be those with a strong quantitative focus, given the nature of the strategy. This strategy is known for being quite sophisticated, requiring a deep understanding of both the equity and fixed income markets, as well as the ability to manage the risks associated with leveraging positions to amplify returns.

For those interested in identifying the top players in convertible bond arbitrage, it would be beneficial to look into hedge funds known for their quantitative strategies and those with a history of fixed income arbitrage. Additionally, exploring discussions and resources on platforms like Wall Street Oasis can provide insights into specific funds that excel in this area, as members often share their experiences and knowledge about various hedge fund strategies and the firms that are leading the way.

Sources: Starting a small hedge fund, Starting a small hedge fund, Which Hedge Funds pay the best?, Q&A Discretionary Hedge Fund Trader, Most Active / Top Distressed Hedge Funds

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