Bond prices and maturity dates. Les Company is about to issue a bond with annual coupon $$payments$,$ an annual coupon rate of $10\%,$ and a par value of $$$$5$ comma $000.$ The yield to maturity for this bond is $8\%.$

a$.$ What is the price of the bond if it matures in $15,20,25,$ or $30$years$?$

b$.$ What do you notice about the price of the bond in relationship to the maturity of the$$ bond