Selena purchased a $210-$day $$200000$ bank bill $($at simple interest$)$ on $14$ March $2023.$ The purchase price was $$197000.$ She sold this bank bill on $22$ April $2023.$

Assume that Selena sold this bank bill at a price of $$197800$ and deposited all sale proceeds into an account to earn simple interest of $3\mathrm{.}74\%$ p$.$a$.$ What is her annualised $($simple interest$)$ yield on her $210-$day investment from $14$ March $2023?$ Give your answer as a decimal $($to five places$).$The correct answer is: $0\mathrm{.}03764$