$1.$ What is the Present Value of a corporate bond with $25$ years remaining to maturity, a PAR value of $$10,000,$ a coupon rate of $9\%,$ and a Yield To Maturity of $7\mathrm{.}5\%?$

$2.$ What is the Present Value of a corporate bond with $20$ years remaining to maturity, a Face Value of $$1,000,$ a coupon rate of $6\mathrm{.}5\%,$ and a Yield To Maturity of $11\%?$

$3.$ What is the Present Value of a U$.$S$.$ Treasury Note with $19$ years remaining to maturity, issued for $$1,000,$ with an initial interest rate of $4\mathrm{.}0\%,$ and a current Yield To Maturity of $5\mathrm{.}3\%$ with coupon payments paid semi$-$annually?

$4.$ Would you say the bond in #$1,$ #$2,$ #$3$ above are trading at a $$Premium$$ or a $$Discount$?$ Why? $($NOTE: This is not completely given in the textbook, you will have to find some information from another source$).$