Round Dot Inns is preparing a bond offering with a coupon rate of $6$ percent, paid semiannually, and a face value of $$1,000.$ The bonds will mature in $10$ years and will be sold at par. Given this, which one of the following statements is correct?

Group of answer choices

The bonds will sell at a premium if the market rate is $5\mathrm{.}5$ percent.

The bonds will become discount bonds if the market rate of interest declines.

The bonds will pay $10$ interest payments of $$60$ each.

The bonds will initially sell for $$1,030$ each

The final payment will be in the amount of $$1,060.$

Group of answer choices

Decreasing the time to maturity increases the price of a discount bond, all else constant.

The coupon rate exceeds the current yield when a bond sells at a discount.

The call price must equal the par value.

An increase in market rates increases the market price of a bond.

Increasing the coupon rate decreases the current yield, all else constant.