Provide your answers to the specific question you are answering. You need to show all your work, including financial calculator keystrokes, for full credit. $($Financial Calculator Keystroke Example: N $=1,$ I$/$Y $=10,$ PV $=100,$ PMT $=0,$ CPT FV $=110$; CF$0=0,$ C$01=110,$ F$01=1,$ NPV$,$ I $=10,$ CPT NPV $=100.)$

$2.$ MGM Healthcare sold bonds that have a $12-$year maturity, an $11$ percent coupon rate with annual payments, and a $$1,000$ par value.

a$.$ Suppose that two years after the bonds were issued, the required interest rate fell to $9$ percent. What would be the bond's value?

b$.$ Suppose that two years after the bonds were issued, the required interest rate rose to $13$ percent. What would be the bond's value?

c$.$ What would be the value of the bonds three years after issue in each scenario above if interest rates stayed steady at either $9$ percent or $13$ percent?

$3.$ Goodwyn Health Plans issued a $10$ percent annual coupon bond a few years ago. The bond now sells for $$1,200.$ The bond has a call provision that allows Regal to call the bond in five years at a call price of $$1,050.$ The par value of the bond is $$1000.$

a$.$ What is the bond's yield to maturity? Assume the bond is held to maturity $10$ years from now.

b$.$ What is the bond's yield to call? Assume the bond is held to the call date five years from now.

$4.$ Tender Co$.$s corporate bond matures in $14$ years. The bond has a $9$ percent semiannual coupon and a par value of $$1,000.$ The bond is callable in five years at a call price of $$1,050.$ The price of the bond today is $$1,100.$ What are the bond$$s yield to maturity and yield to call?