Today let's have a look at three shares within the U.K.'s premier stock index that are forecast to boost their earnings over the next couple of years.

ARM Holdings designs the microprocessors that have become first choice among mobile-phone and tablet manufacturers. The mobile-device boom has produced a share price boom at the company. City analysts expect high earnings growth to continue. A 73% rise in earnings per share is forecast for 2013, to be followed by another 26% rise in 2014. Dividends are also expected to continue their sharp increases, rising by nearly 25% this year and next.

At 834 pence today, ARM is trading at 42 times forecast earnings for the year, falling to 33 times the 2014 estimate. If the forecast growth does not come through then ARM's shares will fall hard. However, if ARM can maintain its position in the mobile-computing sector then further share-price rises may await.

Aberdeen Asset Management (LSE:ADN)
Strong market rises can produce long-lasting positive sentiment toward shares. In such circumstances, a fund management group like Aberdeen Asset Management is perfectly positioned to profit.

After the company earned 6.8 pence per share in the depths of the bear market in 2009, earnings had recovered to 16.3 pence per share by 2012. Analysts are forecasting 30.5 pence of EPS for 2013, rising to 35.9 pence next year. That puts the shares on a 2013 price-to-earnings ratio of 13, falling to 11.1 times the forecast for next year. However, I wouldn't count on Aberdeen meeting those forecasts if the market declines significantly.

There is a well-covered dividend that is expected to hit a yield of 4.6% next year.

Rexam (LSE:REX)
Rexam is a packaging company specializing in soft-drink cans. The company is one of the elite FTSE 100 shares that managed to report profits and pay dividends throughout the economic malaise of the last five years. I am surprised, therefore, to see that the shares are not trading on a higher valuation.

If the forecast earnings growth is delivered (49% this year and 8% next year), then the shares are today trading on a 2014 P/E of just 11 times forecasts. The dividend is expected to increase this year and next, hitting a 4% yield for 2014.

On both P/E and yield measures, Rexam looks better value than the average FTSE 100 share. That doesn't seem quite fair, given how successful the company has been.

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David O'Hara has no position in any stocks mentioned. The Motley Fool has no position in any of the stocks mentioned. Try any of our Foolish newsletter services free for 30 days. We Fools may not all hold the same opinions, but we all believe that considering a diverse range of insights makes us better investors. The Motley Fool has a disclosure policy.