Third-party lawsuits and identity theft are both large concerns for CEOs, finds a recent survey conducted by Chief Executive Group.

When the CEOs were asked what keeps them up at night, 37 percent of respondents said being sued by a third party was a "high" or "very high" area of concern, while 57 percent indicated identity theft as such.

The survey's purpose is to determine senior executives' awareness of business and personal "invisible risks" and gauge their risk readiness. According to the survey, most CEOs are aware of risks to "hard" assets, such as homes, cars, boats and jewelry, but many do not know the extent of their personal liabilities as highly visible and repeatedly targeted individuals. The majority of respondents have insufficient insurance protection against those risks.