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At the rate agreed upon by the purchaser and insurance provider. The considerations are different than those of insuring gold or dollars, but to an actuary, they're all just probabilities.

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I think the question was more, with whom does one ensure Bitcoins? Has any insurance provider stepped up and said that they have a solid-enough picture of Bitcoin's risks to know what premium to charge?

Many of the big web-wallet providers, exchanges, and other custodians insure their customers' Bitcoin holdings against theft. Their insurers include Aon (who insure Coinbase), Lloyd's (Elliptic), Marsh (Circle), and XL Catlin (BitGo).

No, really my question was how can an insurer underwrite bitcoin holdings reasonably without being supremely unprofitable?

What standards of bitcoin security will the underwriter be evaluating against?

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