On January $1,2024,$ Tableau Company issues $$10$ million of $7\%$ bonds, due in seven years, with interest payable semiannually on June $30$ and December $31$ each year.

Required:

If the market rate is $6\%,$ will the bonds issue at face amount, a discount, or a premium? Calculate the issue price.

If the market rate is $7\%,$ will the bonds issue at face amount, a discount, or a premium? Calculate the issue price.

If the market rate is $8\%,$ will the bonds issue at face amount, a discount, or a premium? Calculate the issue price.

What is the cash interest payment per period?