A $$500,000268-$day Treasury Bill was issued to Buyer #$1$ at $4.1\%.168$ days before the T$-$Bill reached maturity it was sold by Buyer #$1$ at a rate that would provide Buyer #$2$ with a return of $3\mathrm{.}4\%$ if Buyer #$2$ held the T$-$Bill to maturity. What annual simple rate did Buyer #$1$ actually realize over the period that Buyer #$1$ held the T$-$Bill? Round to the nearest $0\mathrm{.}01\%$