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hastings corporation is interested in acquired Vandell corporation. vandell corp

ID: 2767243 • Letter: H

Question

hastings corporation is interested in acquired Vandell corporation. vandell corporation has 1 million shares outstanding and a target capital structure consisting of 30% debt. vandells debt interest is 8% . assume that the risk free rate of interest is 5% and the market risk premium is 6%. both vandell and hastings face a 40% tax rate. hasting estimate that if it acquires vandell, interest payment will be 1.5 million per year for 3 year, after which the current target capital structure of 30 % debt will be maintained. interest in the fourth year will be 1,472 million, after which interest and the tax shield will grow at 5%. synergies will cause the free cash flows to be 2.5 million, $2.9 million 3.4 million and 3.57 million in year 1 through 4, respectively after which the free cash flow grow at a 5% rate. what is the unlevered value of vandell and what is the value of its tax shield? what is the per share value of vandell to hastings corporation? assume that vandell now has $10.82 million in debt

Explanation / Answer

Answer: r SU = w d r d + w s r sL

r SU =30%*8% + 70%*13.4%

r SU = 11.78%

Tax Shields 1-3 = Interest * Tax Rate

Tax Shields 1-3 = 1.5M * 40%

Tax Shields 1-3 = 600,000

Tax Shield 4 = $1,472,000 * 40%

Tax Shield 4 = $588,800

Tax Shield Horizon Value = (588,800*1.05)/(11.78%-5%) = $9.12M

Tax Shield Value = 600K/(1+ r SU )+600K/(1+ r SU )^2+600K/(1+ r SU )^3+(588,800+9.12M)/(1+ r SU )^4

Tax Shield Value = $7.67M

Unlevered V ops = 2.5/(1+r SU ) + 2.9/(1+r SU )^2 + 3.4/(1+r SU )^3 + (3.57 + 55.29)/(1+r SU )^4

Unlevered V ops = $44.69M

V ops = Unlevered Vops + Value of Tax Shields

V ops = $44.69 + $7.67 V ops = $52.36M

Equity Value = (V ops – Debt)/Number of Shares

= ($52.36 – 10.82)/1M = $41.54M/1M

P 0 = $41.54/share