He, too, is optimistic about the economy and markets.

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Now, says Mr. Alvarez, in theory at least (and he cautions against being too optimistic) if Microsoft can deliver Windows 8 on tablets and PCs, then it makes the jump to Windows Phone much smaller for consumers, enterprise users and, importantly, developers.

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Most of the world's oil analysts, he believes, are far too optimistic about how long existing fields will last, the prospects for new discoveries, technology's ability to unlock new sources and to extend the life of existing ones, and so on.

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Cueto told BBC Sport that he would undergo a scan on Saturday, but the 27-year-old said he was optimistic that the injury was not too serious.

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"This is very good science, but I must warn against jumping too quickly to optimistic conclusions, " he said.

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"When these deals were negotiated there was more money flowing through the system and the NHS was probably a bit too optimistic about the future, " he said.

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He says the agreement has made him hopeful but not too optimistic.

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Already, he points out, banks have had to write down a fair amount of lending on cars because banks were too optimistic about the residual value of the cars that backed the loans.

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