Pharoah needs to borrow $$7$ million for an upgrade to its headquarters and manufacturing facility. Management has decided to borrow using a five$-$year term loan from its existing commercial bank. The prime rate is $3\mathrm{.}28$ percent, and Pharoah's current rating is prime $+2\mathrm{.}51$ percent. The yield on a five$-$year U$.$S$.$ Treasury note is $2\mathrm{.}04$ percent, and the three$-$month U$.$S$.$ Treasury bill rate is $0\mathrm{.}12$ percent. What is the estimated loan rate for the five$-$year bank loan?

Estimated loan rate is $\%.$