$1.$ Which of the following statements is false?

As debt is added to the capital structure of a for$-$profit corporation, return on equity increases.

As debt is added to the capital structure of a for$-$profit corporation, the operating income available for distribution to investors increases.

As debt is added to the capital structure of a for$-$profit corporation, the risk to equity investors increases.

As debt is added to the capital structure of a for$-$profit corporation, the likelihood of default increases.