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You are the only stockholder of F, which is all equity. Your personal tax rate on dividends is 40%. You must choose between Paying out

You are the only stockholder of F, which is all equity. Your personal tax rate on dividends is 40%. You must choose between Paying out a special dividend for a total amount of $1,000,000. After taxes, you invest this dividend in another firm G that has the same systematic risk as F, share price $1 and pays out a dividend of d every year. Investing $1 million in a project P that generates additional EBIT (= operating cash-flows) of $500,000 per year (perpetuity). The after-tax earnings from the project is paid out in dividend every year. F's corporate tax rate TC is 30%. What is the smallest d such that you prefer (a) to (b)? Hint: since G and P are perpetuities, have the same systematic risk and since firm F has to invest $1 million in both strategies, it is sufficient to compare the payoffs generated by the two options every year.

0.383

0.483

0.583

0.683

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