On January $1,$ Issuing Company issued $$100,000$ in bonds. The stated interest rate on the bonds is $12\%,$ with interest payable semiannually, on June $30$ and December $31.$

On March $1,$ Purchasing Company is planning to purchase the bonds from the private investor who acquired them when they were originally issued. The chief financial officer $($CFO$)$ of Purchasing Company is determining how much cash will have to be paid to purchase the bonds on March $1.$ The CFO knows that Purchasing Company will have to pay the private investor an amount equal to the face value of the bonds $($$$100,000)$ PLUS accrued interest.

How much does Purchasing Company have to pay to purchase the bonds on March $1?$

$$112,000$

$$104,000$

$$106,000$

$$102,000$