With the advent of the Bring-Your-Own-Device (BYOD) trend, mobile work is achieving a widespread diffusion that challenges the traditional view of security standard and risk management. A recently proposed model, called opportunity-enabled risk management (OPPRIM), aims at balancing the analysis of the major threats that arise in the BYOD setting with the analysis of the potential increased opportunities emerging in such an environment, by combining mechanisms of risk estimation with trust and threat metrics. Firstly, this paper provides a logic-based formalization of the policy and metric specification paradigm of OPPRIM. Secondly, we verify the OPPRIM model with respect to the socio-economic perspective. More precisely, this is validated formally by employing toolsupported quantitative model checking techniques.