You are considering investing $$$$820$ in Higgs B$.$ Technology Inc. You can buy common stock at $$$$24\mathrm{.}85$ per$$ share; this stock pays no dividends. You can also buy a convertible bond$($$$1,000$ par$$ value$)$ that is currently trading at $$$$820$ and has a conversion ratio of $29.$ It pays $$$$48$ per year in interest. If you expect the price of the stock to rise to $$$$33\mathrm{.}02$ per share in one$$ year, which instrument should you$$ purchase?