Bond prices and maturity dates. Moore Company is about to issue a bond with annual coupon payments, an annual coupon rate of $7\%,$ and a par value of $$1,000.$ The yield to maturity for this bond is $10\%.$

a$.$ What is the price of the bond if it matures in $10,15,20,$ or $25$ years?

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

a$.$ What is the price of the bond if it matures in $10$ years?

$$,($Round to the nearest cent.$)$