General Electric has just issued a callable$($at par$)10-$year, $5\mathrm{.}7\%$ coupon bond with annual coupon payments. The bond can be called at par in one year or anytime thereafter on a coupon payment date. It has a price of $$$$102\mathrm{.}35.$

a$.$ What is the$$ bond's yield to$$ maturity?

b$.$ What is its yield to$$ call?

c$.$ What is its yield to$$ worst?