Problem $1($Required$,20$ marks$)$ We consider a $6-$year coupon bond. The bond has face value $\backslash$$$1000.$ The annual coupon rate is $\backslash (4\backslash \%\backslash )$ payable quarterly. The annual nominal yield rate of the bond is currently $\backslash (5\backslash \%\backslash ).($a$)$ Calculate the current price of the bond. $($b$)$ After $1$ year, the bond price is dropped by $3\backslash \%$ after $1$ year. Calculate the annual nominal yield rate of the bond at that time. $(*$Note: You just need to include the governing equation of the yield rate like what I presented in the lecture. You don't need to show the numerical algorithm for solving the equation.$)$