On Monday, December $12,2022$ Amgen, Inc. $($Nasdaq: AMGN$)$ and Horizon Therapeutics Public Limited Company $($Nasdaq:HZNP$)$ announced that they had entered into a definitive agreement under which a subsidiary of Amgen will acquire all outstanding shares and to be issued shares of Horizon Therapeutics for $$116\mathrm{.}50$ per share in cash, representing a total enterprise value of $$28\mathrm{.}3$ billion. On the day of the announcement AMGN$$s price closed at $$274\mathrm{.}36$ and HZNP$$s price closed at $$112\mathrm{.}36.$ HZNP$$s price on the last trading day prior to the announcement was $$97\mathrm{.}29,$ while AMGN's price was $$276\mathrm{.}21.$ The deal was set to close June $12,2023.$ If HZNP had a closing price of $$112\mathrm{.}36$ with $200$ days to close when an arbitrageur purchased HZNP$,$ then what was the expected annualized return on the trade at the time of the transaction.$$ Assume a $365$ day year. Enter the percentage value and round your answer to two decimal places.$($Example $50\mathrm{.}50\%$ is entered as $50\mathrm{.}50$