Jay purchased a $150-$day $$500,000$ bank bill $($at a simple interest rate$)$ on $15$ July $2021.$ The purchase price was $$490,550.$ He sold this bank bill on $13$ August $2021.$

$($b$)$ Assume that John sold this bank bill at a simple interest rate of $4\mathrm{.}37\%$ p$.$a$.$ up to the maturity date of the above bank bill. What is the annualised $($simple interest$)$ yield for this investment from $15$ July $2021$ to $13$ August $2021?$ Round your answer to $3$ decimal places in terms of percentage