Zero$-$coupon bond. Addison Company will issue a zero$-$coupon bond this coming month. The bond's projected yield is $4\%.$ If the par value is $$5,000,$ what is the bond's price using a semiannual convention if

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

b$.$ the maturity is $35$ years?

c$.$ the maturity is $70$ 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.$)$