Jay purchased a $120-$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 $4\mathrm{.}39\%$ 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.

Question $2$

a$\mathrm{.}10\mathrm{.}571\%$

b$\mathrm{.}9\mathrm{.}000\%$

c$\mathrm{.}10\mathrm{.}158\%$

d$\mathrm{.}10\mathrm{.}357\%$