a$)$ A bond has a coupon of $6\mathrm{.}5\%$ and it pays interest semi$-$annually. With a face value of $$1000,$ it will mature after $10$ years. If you require a return of $12\%$ from this bond, how much should you pay for it$?(12$ marks$)$

b$)$ If a newspaper lists a bond as AT&T $10\%$ annual coupon $5-$year bond and its price as $$1050.$ Find the approximate yield to maturity for this bond. What is it$$s YTM after $1$ year has passed?

$(8$ marks$)$