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A firm had a net income of $100 per share last year, with a retention rate of 10%. In the first day of the current

A firm had a net income of $100 per share last year, with a retention rate of 10%. In the first day of the current year, this firm is considering increasing its retention rate to 20%. This would reduce dividends in the short run and increase dividends in the longer run.
How long would it take for dividends to be higher under a 20% retention rate instead of a 10% retention rate? Assume ROE=10%

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