Question $5$: $5+5=10$ marks a$)$ First National Bank charges $13\mathrm{.}2$ percent compounded monthly on its business loans. First United Bank charges $13\mathrm{.}5$ percent compounded semiannually. As a potential borrower, which bank would you go to for a new loan? b$)$ Sepia Tone Co$.$ wants to issue new $20-$year bonds for some much$-$needed expansion projects. The company currently has $8$ percent coupon bonds on the market that sell for $\backslash (\backslash$$ $1,075\backslash ),$ make semiannual payments, and mature in $20$ years. What coupon rate should the company set on its new bonds if it wants them to sell at par?