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Martin Technologies Inc., a large electronics company, is evaluating the possible acquisition of Columbia Electronics, a regional electronics company. Martins analysts project the following post-merger

Martin Technologies Inc., a large electronics company, is evaluating the possible acquisition of Columbia Electronics, a regional electronics company. Martins analysts project the following post-merger data for Columbia (in millions of dollars):

2015 2016 2017 2018
Net sales $300 $425 $475 $550
Selling and administrative expense 40 50 60 75
Interest 25 30 35 40
Tax rate after merger 35%
Cost of goods sold as a percent of sales 75%
Beta after merger 1.2250
Risk-free rate 4%
Market risk premium 8%
Continuing growth rate of cash flow available to Martin 5%

If the acquisition is made, it will occur on January 1, 2015. All cash flows shown in the income statements are assumed to occur at the end of the year. Columbia currently has a capital structure of 40% debt, but Martin would increase that to 50% if the acquisition were made. Columbia, if independent, would pay taxes at 20%; but its income would be taxed at 35% if it were consolidated. Columbias current market-determined beta is 1.15, and its investment bankers think that its beta would rise to 1.2250 if the debt ratio were increased to 50%. The cost of goods sold is expected to be 75% of sales, but it could vary somewhat. Depreciation-generated funds would be used to replace worn-out equipment, so they would not be available to Martins shareholders. The risk-free rate is 4%, and the market risk premium is 8%.

What is the appropriate discount rate for valuing the acquisition? % (to 4 decimals)

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Realize that the cash flows represent equity, and the analysis were using is the equity residual method.

Understand that the cash flows are residuals that belong to the acquiring firms shareholders.

Realize that the appropriate discount rate is the post-merger cost of equity of the acquired firm because that correctly reflects the risk of those cash flows.

Use the CAPM equation with Columbias post-merger beta to estimate the cost of equity, which will be the rate at which the cash flows will be discounted.

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