Company A has a bond outstanding with $15$ years to maturity, an $8\mathrm{.}25\%$ nominal coupon, semiannual payments, and a $$1,000$ par value. The bond has a $6\mathrm{.}50\%$ nominal yield to maturity, but it can be called in f years at$.$ a price of $$1045.$ What is the bond's nominal yield to call?

$$ a$.5\mathrm{.}59\%$

$$ b$.6\mathrm{.}30\%$

$$ c$.4\mathrm{.}75\%$

$$ d$.2\mathrm{.}55\%$

$$ e$.4\mathrm{.}55\%$