The primary challenge that financial institutions face when selecting a risk measure for economic capital purposes is that there is no singularly preferred risk measure. While there are several risk measures available, none of them can be considered as the ideal choice for every institution. Each risk measure has its own strengths and weaknesses, and the choice of a risk measure often depends on the specific circumstances and requirements of the institution. Therefore, it is not possible to single out one risk measure as the preferred choice for all institutions. This lack of a universally preferred risk measure makes the selection process challenging for financial institutions.

Choice A is incorrect. There are indeed generally accepted properties of a good risk measure, such as sub-additivity, monotonicity, and translation invariance. These properties are widely recognized and used in the field of risk management.

Choice B is incorrect. While it's true that some risk measures can be complex to implement and communicate to stakeholders, this does not represent the primary challenge faced by financial institutions when selecting an appropriate risk measure for economic capital purposes. The complexity of a risk measure does not necessarily make it inappropriate or unsuitable for use.

Choice C is incorrect. Although there may be challenges associated with obtaining relevant and reliable data for assessing risks, this issue doesn't primarily hinder the selection of an appropriate risk measure for economic capital purposes. In fact, most financial institutions have systems in place to collect and analyze relevant data.

Things to Remember

• Sub-additivity, monotonicity, and translation invariance are generally accepted properties of a good risk measure.
• Financial institutions often use a combination of risk measures to address different (risks).