$1.)$ A $25-$Year $$1,000$ Par Value Bond has an Annual Coupon Rate of $6\%.$ If The YTM for this bond Is $8\%,$ What is the price of this bond?

$2.)$ Twenty years ago a firm issued a $6\%$ annual coupon bond with a term to maturity of $25$ years. If the current market interest rate on bonds of this type is $5\%,$ what is the price of this bond today?

$3.)$ A $$1,000$ par value zero$-$coupon bond with $10$ years remaining until maturity has a YTM of $4\%.$ What is its price?

$4.)$ A $$1,000$ par value bond has an annual coupon rate of $6\mathrm{.}50\%$ with $17$ years remaining until maturity and is selling for $$1,125.$ What is its annual YTM$?$

$5.)$ A $30-$year $$1,000$ par value zero$-$coupon bond is selling for $$250.$ What is its annual YTM$?$