Hastings Corporation is interested in acquiring Vandell Corporation. Vandell has 1 million shares outstanding and a target capital structure consisting of 30% debt. Vandell's debt interest rate is 7.4%. Assume that the risk-free rate of interest is 3% and the market risk premium is 4%. Both Vandell and Hastings face a 35% tax rate.

Vandell's beta is 1.45. Hastings estimates that if it acquires Vandell, interest payments will be $1,500,000 per year for 3 years. The free cash flows are supposed to be $2.3 million, $2.7 million, $3.3 million, and then $3.90 million in Years 1 through 4, respectively. Suppose Hastings will increase Vandell's level of debt at the end of Year 3 to $31.3 million so that the target capital structure will be 45% debt. Assume that with this higher level of debt the interest rate would be 8.0%, and assume that interest payments in Year 4 are based on the new debt level from the end of Year 3 and new interest rate. Free cash flows and tax shields are projected to grow at 6% after Year 4.

What is the value of the unlevered firm?

What is the value of the tax shield?

What is the maximum total price that Hastings would bid for Vandell now? Assume Vandell now has $9.43 million in debt.

Merger Valuation with Change in Capital Structure Current target capital structure: Debt Equity Number of common shares outstanding Current debt amount 30.00% 70.00% 1,000,000 $9,430,000 Debt interest rate Risk-free rate Market risk premium Tax rate Beta Interest payments, Years 13 Growth rate Free cash flow, Year 1 Free cash flow, Year 2 Free cash flow, Year 3 Free cash flow, Year 4 Level of debt, Year 3 New interest rate at higher debt level New target capital structure: Debt Equity Calculate target firm's levered cost of equity rsL Formulas Calculate target firm's unlevered cost of equity rsu Calculate target firm's unlevered value: Unlevered horizon value of FCF Unlevered value of operations \#N/A Calculate value of interest tax shields: Tax shield, Year 1 Tax shield, Year 2 Tax shield, Year 3 Tax shield, Year 4 Tax shield, Horizon value #N/A #N/A Value of tax shields Calculate target firm's per share value to acquiring firm: Value of operations Target firm's equity value to acquiring firm Per share value to acquiring firm #N/A #N/A #N/A Merger Valuation with Change in Capital Structure Current target capital structure: Debt Equity Number of common shares outstanding Current debt amount 30.00% 70.00% 1,000,000 $9,430,000 Debt interest rate Risk-free rate Market risk premium Tax rate Beta Interest payments, Years 13 Growth rate Free cash flow, Year 1 Free cash flow, Year 2 Free cash flow, Year 3 Free cash flow, Year 4 Level of debt, Year 3 New interest rate at higher debt level New target capital structure: Debt Equity Calculate target firm's levered cost of equity rsL Formulas Calculate target firm's unlevered cost of equity rsu Calculate target firm's unlevered value: Unlevered horizon value of FCF Unlevered value of operations \#N/A Calculate value of interest tax shields: Tax shield, Year 1 Tax shield, Year 2 Tax shield, Year 3 Tax shield, Year 4 Tax shield, Horizon value #N/A #N/A Value of tax shields Calculate target firm's per share value to acquiring firm: Value of operations Target firm's equity value to acquiring firm Per share value to acquiring firm #N/A #N/A #N/A