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The stock market is composed of three companies A, B, and C, each with a share of 1/3 in total capitalization. Analysts expect A to

The stock market is composed of three companies A, B, and C, each with a share of 1/3 in total capitalization.

Analysts expect A to pay a perpetual dividend of 10;

B to pay a divided of 3 next year and to grow by 5% forever;

C to pay a dividend of 2 and grow by 8% forever.

The market prices of stocks A, B, C are 100, 105 and 110 respectively. Find the implied market rate of return.

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