Caterpillar Corporation is an unlevered firm with a total market value of $$3,900,000$ with $60,000$ shares of stock outstanding. The firm has expected EBIT of $$220,000$ if the economy is normal and $$280,000$ if the economy booms. The firm is considering a $$975,000$ bond issue with an attached interest rate of $6$ percent. The bond proceeds will be used to repurchase shares. Ignore taxes. What will the earnings per share $($EPS$)$ be after the repurchase if the economy booms?

$$4\mathrm{.}65$

$$4\mathrm{.}92$

$$5\mathrm{.}31$

$$5\mathrm{.}66$

$$5\mathrm{.}98$