Question #$2$: $(1$ point$)$ Happy Times, Inc. wants to expand its party stores into the Southeast. In order to establish an immediate presence in the area, the company is considering purchasing a privately$-$held firm called Joe's Party Supply. Happy times currently has debt outstanding with a market value of $$140$ million and a YTM of $6\%.$ The company's market capitalization is $$38\mathrm{.}0$ million, and the required return on equity is $11\%.$ Joe's currently has debt outstanding with a market value of $$30\mathrm{.}5$ million. The EBIT for Joe's next year is projected to be $$12\mathrm{.}5$ million. EBIT is expected to grow at $10\%$ per year for the next $5$ years before slowing down to $3\%$ in perpetuity. Net working capital, capital spending, and depreciation as a percentage of EBIT are expected to be $9\%,15\%,$ and $8\%,$ respectively. Joe's has $1\mathrm{.}85$ million shares among its limited owners and both companies face a $38\%$ tax rate.

a$)$ Based on these estimates, what is the maximum share price that Happy Times should be willing to pay for Joe's?

b$)$ After examining your analysis, the CFO of Happy Times is uncomfortable using the perpetual growth rate in cash flows. Instead, she feels that the terminal value should be estimated using the multiple EV$/$EBITDA $($i$.$e$.$ "enterprise value" to "earnings before interest, taxes, depreciation, and amortization"$).$ If the appropriate multiple is $8,$ what is your new estimate of the maximum share price for the purchase?