Question
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
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 6% and the market risk premium is 5%. Both Vandell and Hastings face a 35% tax rate.
Hastings estimates that if it acquires Vandell, interest payments will be $1,500,000 per year for 3 years after which the current target capital structure of 30% debt will be maintained. Interest in the fourth year will be $1.474 million after which interest and the tax shield will grow at 4%. Synergies will cause the free cash flows to be $2.5 million, $2.9 million, $3.4 million, and then $3.60 million in Years 1 through 4, respectively, after which the free cash flows will grow at a 4% rate.
What is the unlevered value of Vandell? Vandell's beta is 1.10. Enter your answer in dollars. For example, an answer of $1.2 million should be entered as 1,200,000, not 1.2. Do not round intermediate calculations. Round your answer to two decimal places.
$
What is the value of its tax shields? Enter your answer in dollars. For example, an answer of $1.2 million should be entered as 1,200,000, not 1.2. Do not round intermediate calculations. Round your answer to two decimal places.
$
What is the per share value of Vandell to Hastings Corporation? Assume Vandell now has $11.82 million in debt. Do not round intermediate calculations. Round your answer to the nearest cent.
$ per share
Merger Valuation | |
Current target capital structure: | |
Debt | 30.00% |
Equity | 70.00% |
Number of common shares outstanding | 1,000,000 |
Current debt amount | $11,820,000 |
Debt interest rate | 7.40% |
Risk-free rate | 6.00% |
Market risk premium | 5.00% |
Tax rate | 35.00% |
Beta | 1.10 |
Interest payments, Years 1 - 3 | $1,500,000 |
Interest payment, Year 4 | $1,474,000 |
Growth rate | 4.00% |
Free cash flow, Year 1 | $2,500,000 |
Free cash flow, Year 2 | $2,900,000 |
Free cash flow, Year 3 | $3,400,000 |
Free cash flow, Year 4 | $3,600,000 |
Calculate target firm's levered cost of equity | Formulas | |
rsL | 12.10% | =(B10+B11)*B13 |
Calculate target firm's unlevered cost of equity | ||
rsU | 10.69% | =(B4*B9)+(B5*B23) |
Calculate target firm's unlevered value: | ||
Unlevered horizon value of FCF | ||
Unlevered value of operations | ||
Calculate value of interest tax shields: | ||
Tax shield, Year 1 | $525,000 | =B14*B12 |
Tax shield, Year 2 | $525,000 | =B14*B12 |
Tax shield, Year 3 | $525,000 | =B14*B12 |
Tax shield, Year 4 | $515,900 | =B15*B12 |
Tax shield, Horizon value | $8,019,970 | =(B36*1.04)/(B26-B16) |
Value of tax shields | $6,975,996 | =B33/(1+B26)+B34/(1+B26)^2+B35/(1+B26)^3+(B36+B37)/(1+B26)^4 |
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 |
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