Washington Company is considering an acquisition of Purple Turtle Corp. Washington Company estimates that acquiring Purple Turtle will result in incremental value for the firm. The analysts involved in the deal have collected the following information from the projected financial statements of the target company.

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Chapter26: Capital Investment Analysis
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6. Merger analysis - Free cash flow to equity (FCFE) approach
Consider the following acquisition data regarding Washington Company and Purple Turtle Corp.:
Washington Company is considering an acquisition of Purple Turtle Corp. Washington Company estimates that acquiring Purple Turtle will
result in incremental value for the firm. The analysts involved in the deal have collected the following information from the projected
financial statements of the target company.
Data Collected (in millions of dollars)
Year 1
Year 2
Year 3
EBIT
$11.0
$13.2
$16.5
Interest expense
3.0
3.3
3.6
Debt
34.1
40.3
43.4
Total net operating capital 105.1 107.1 109.1
Purple Turtle is a publicly traded company, and its market-determined pre-merger beta is 1.60. You also have the following information
about the company and the projected statements.
• Purple Turtle currently has a $12.00 million market value of equity and $7.80 million in debt.
•The risk-free rate is 5% with a 7.10% market risk premium, and the Capital Asset Pricing Model produces a pre-merger
required rate of return on equity r of 16.36%.
• Purple Turtle's cost of debt is 7.00% at a tax rate of 30%.
• The projections assume that the company will have a post-horizon growth rate of 4.00%.
. Current total net operating capital is $102.0 million, and the sum of existing debt and debt required to maintain a constant
capital structure at the time of acquisition is $31 million.
• The firm has no nonoperating assets, such as marketable securities.
With the given information, use the free cash flow to equity (FCFE) approach to calculate the following values involved in the merger analysis. (Note:
Round your answer to two decimal places.)
FCFE horizon value
Value of FCFE
Value
$90.05 million
$46.36 million
The estimated value of Purple Turtle's operations after the merger is more than the market value of Purple Turtle's equity. This means that the
wealth of Purple Turtle's shareholders will increase if it merges with Washington rather than remaining as a stand-alone corporation.
False
4
True or False: The horizon value in the FCFE approach is different from the horizon value in the adjusted present value (APV) approach. The horizon
only for equity, whereas the horizon value in the APV approach is for the total value of operations.
value in the FCFE
True
Transcribed Image Text:6. Merger analysis - Free cash flow to equity (FCFE) approach Consider the following acquisition data regarding Washington Company and Purple Turtle Corp.: Washington Company is considering an acquisition of Purple Turtle Corp. Washington Company estimates that acquiring Purple Turtle will result in incremental value for the firm. The analysts involved in the deal have collected the following information from the projected financial statements of the target company. Data Collected (in millions of dollars) Year 1 Year 2 Year 3 EBIT $11.0 $13.2 $16.5 Interest expense 3.0 3.3 3.6 Debt 34.1 40.3 43.4 Total net operating capital 105.1 107.1 109.1 Purple Turtle is a publicly traded company, and its market-determined pre-merger beta is 1.60. You also have the following information about the company and the projected statements. • Purple Turtle currently has a $12.00 million market value of equity and $7.80 million in debt. •The risk-free rate is 5% with a 7.10% market risk premium, and the Capital Asset Pricing Model produces a pre-merger required rate of return on equity r of 16.36%. • Purple Turtle's cost of debt is 7.00% at a tax rate of 30%. • The projections assume that the company will have a post-horizon growth rate of 4.00%. . Current total net operating capital is $102.0 million, and the sum of existing debt and debt required to maintain a constant capital structure at the time of acquisition is $31 million. • The firm has no nonoperating assets, such as marketable securities. With the given information, use the free cash flow to equity (FCFE) approach to calculate the following values involved in the merger analysis. (Note: Round your answer to two decimal places.) FCFE horizon value Value of FCFE Value $90.05 million $46.36 million The estimated value of Purple Turtle's operations after the merger is more than the market value of Purple Turtle's equity. This means that the wealth of Purple Turtle's shareholders will increase if it merges with Washington rather than remaining as a stand-alone corporation. False 4 True or False: The horizon value in the FCFE approach is different from the horizon value in the adjusted present value (APV) approach. The horizon only for equity, whereas the horizon value in the APV approach is for the total value of operations. value in the FCFE True
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