You want to buy a corporate bond for your portfolio. The bond has a $10$ year maturity, $$1,000$ par value and makes semi$-$annual coupon payments. The annual coupon rate is $6\%.$ It has been three years since it was issued. Market interest rates have since dropped to $4\mathrm{.}8\%.$

What is the price the bond would currently be trading at$?$

Four years after issue the bonds are now trading at $103\mathrm{.}5$ What is the yield to maturity for the bonds?

The bond is callable after six years at $102.$ Would the bond be called? You must show all work.