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 $20$ years?

b$.$ the maturity is $30$ years?

c$.$ the maturity is $60$ years?

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

a$.$ What is the price of the bond using a semiannual convention if the maturity is $20$ years?

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

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