Today is $15$ May $2022.$ Saamiya has just purchased a Treasury bond with a face value of $$100,$ maturing at par and paying coupon at j$2=3\mathrm{.}4\%$ p$.$a$.$ The purchase price was $$100\mathrm{.}065.$ The maturity date of this bond is $15$ May $2024.$ Use the bond salespersons formula to estimate samiyas purchase yield. Give your answer in j$2$ form, rounded to three decimal places. a$.1\mathrm{.}683\%$ p$.$a$.$ b$\mathrm{.}1\mathrm{.}809\%$ p$.$a$.$ c$.2\mathrm{.}999\%$ p$.$a$.$ d$.3\mathrm{.}366\%$ p$.$a$.$