Muzi has a bond outstanding with $12$ years to maturity, an $8\%$ coupon paid quarterly, and a $$1,000$ par value. The bond has a $7\%$ nominal yield to maturity, but it can be called in $3$ years at a price of $$1,045.$ What are $(1)$ the bond's quarterly nominal yield to call, $(2)$ annual nominal yield to call and $(3)$ the bond's annual effective yield to call?