Problem $1-$ Assume Venture Healthcare sold bonds that have a ten$-$year maturity, a $12$ 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 $7$ 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?

$c$&$d.$ What would be the value of the bonds three years after issue in each scenario above, assuming that interest rates stayed steady at either $7$ percent or $13$ percent?

Please enter all answers in the following format: $$1,234\mathrm{.}56.$ Negative answers: $($$$1,234\mathrm{.}56)$

Part A: Bond Value:

Part B: Bond Value:

Part C: Bond Value:

Part D: Bond Value: