Zero$-$coupon bond. Addison Company will issue a zero$-$coupon bond this coming month. The bond's projected yield is $3\%.$If the par value is $$1,000,$ what is the bond's price using a semiannual

convention if

a$.$ the maturity is $15$ years?

b$.$ the maturity is $40$ years?

c$.$ the maturity is $50$ years?

d$.$ the maturity is $100$ years?

a$.$ What is the price of the bond using a semiannual convention if the maturity is $15$ years?

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