Merger Valuation with Change in Capital Structure

Hastings Corporation is interested in acquiring Vandell Corporation. Vandell has $1$ million shares outstanding and a target capital structure consisting of $30\%$ debt; its beta is $1\mathrm{.}60($given its target capital structure$).$ Vandell's debt interest rate is $8\%.$ Assume that the risk$-$free rate of interest is $6\%$ and the market risk premium is $5\%.$ Both Vandell and Hastings face a $30\%$ tax rate.

Hastings Corporation estimates that if it acquires Vandell Corporation, synergies will cause Vandell$$s free cash flows to be $$2\mathrm{.}4$ million, $$2\mathrm{.}8$ million, $$3\mathrm{.}5$ million, and $$4\mathrm{.}00$ million at Years $1$ through $4,$ respectively, after which the free cash flows will grow at a constant $4\%$ rate. Hastings plans to assume Vandell$$s $$10\mathrm{.}53$ million in debt and raise additional debt financing at the time of the acquisition. Hastings estimates that interest payments will be $$1\mathrm{.}6$ million each year for Years $1,2,$ and $3.$ Suppose Hastings will increase Vandell$$s level of debt at Year $3$ to $$28\mathrm{.}4$ million so that the target capital structure becomes $45\%$ debt. Assume that with this higher level of debt, the interest rate would be $9\mathrm{.}0\%,$ and assume that interest payments in Year $4$ are based on the new debt level at Year $3$ and the $9\mathrm{.}0\%$ interest rate. The Year $4$ interest expense is expected to grow at $4\%$ after Year $4.$

What is the Year $4$ interest expense? What is the Year $4$ tax shield? Do not round intermediate calculations. Enter your answers in millions. For example, an answer of $$1\mathrm{.}23$ million should be entered as $1\mathrm{.}23,$ not $1,230,000.$ Round your answers to two decimal places.

Year $4$ interest expense: $ million

Year $4$ tax shield: $ million

What is the unlevered value of operations? What is the value of the tax shield? Do not round intermediate calculations. Enter your answers in millions. For example, an answer of $$1\mathrm{.}23$ million should be entered as $1\mathrm{.}23,$ not $1,230,000.$ Round your answers to two decimal places.

Unlevered value of operations: $ million

Value of tax shield: $ million

What is the maximum price per share that Hastings would bid for Vandell? Do not round intermediate calculations. Round your answer to the nearest cent.

Maximum price per share that Hastings would bid for Vandell: $ $/$share