Determine the annualised return, including all its components, from the following bond transaction: a$.$ on $27$ April $2023$ you purchase $$12\mathrm{.}35$m face value bond maturing on $11$ May $2030$ which has a $2\mathrm{.}70\%$ coupon that is trading at a yield of $3\mathrm{.}025\%$ b$.$ You sell this bond on $16$ May $2023$ at a yield of $3\mathrm{.}195\%($Please show all every steps in detail including formula used$)$