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A convertible bond (CB) arbitrage hedge fund manager buys ten convertible bonds with a PAR Value of $1,000 paying an annual coupon of 5.5%. The

A convertible bond (CB) arbitrage hedge fund manager buys ten convertible bonds with a PAR Value of $1,000 paying an annual coupon of 5.5%. The CB purchase price was $950 per bond. Each CB is convertible into 80 shares of common stock at $15 per share. The hedge fund manager has determined that the appropriate hedge ratio is 0.60. The manager has the ability to earn a short rebate of 2.0% on the underlying stock and pays 1.0% on any borrowed funds for the CB purchase. Assume the fund manager shorted the shares at the strike price of $15.

If the manager has entered into the position with a 2-to-1 leverage ratio (i.e., borrow 50% of the capital) and after one year, the price of the bonds jumps to $990 with the stock price at $17, calculate the managers return on investment.

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