$1.$ A $$1000$ par bond has a coupon rate of $13\%$ and matures in $12$ years. The bond is callable with a semiannually call penalty of one year's interest.

a$.$ If comparable bonds yield $10\%,$ what is the price of the bond?

b$.$ What is the current yield of the bond?

c$.$ If the bond can be called four years from now, how will that affect the price of the bond? $($show

calculations$)$