$2.$ A company has issued a bond with a par value of $$1,000$ and with coupon rate of $6\%$ paid semi$-$annually with maturity of ten years.

A$)$ What is the bond$$s price after a year if similar risk bonds has coupon rate of $8\%?$

B$)$ The bond can be called on its $5$th year at $$1,020.$ What is the yield to call if the bond$$s price is $$990.$