Suppose you are told that:

The price of a semi$-$annual $2-$year fixed$-$rate bond A with a $2\%$ coupon is USD$103.$

The price of a $2-$year zero$-$coupon bond B is USD$98.$

What is true for the arbitrage$-$free price of a $2-$year fixed$-$rate bond $C$ with a $4\%$ coupon?

Select one or more alternatives:

The price of C is USD$108.$

The price of C is USD$106.$

The price of C is USD$105.$

There is not enough information in the question to determine the price of $C.$