Three years ago XYZ International issued some $34$ year zero$-$coupon bonds that were priced with a market's required yield to maturity of $14$ percent and a par value of $$1\mathrm{.}000.$ What did these bonds sell for when they were issued? Now that $3$ years have passed and the market's required yield to maturity on these bonds has climbed to $16$ percent, what are they selling for? If the market's required yield to maturity had fallen to $12$ percent, what would they have been selling for?