With an increasing share of energy from non-synchronous renewable energy sources, the inertia of the power system is decreasing. There is also a decrease in the number of conventional resources that can help increase the system inertia. This reduction in system inertia has an adverse effect on frequency stability. The effect on frequency stability is more severe in smaller isolated systems than in larger systems. The number of High-Voltage Direct Current (HVDC) interconnections is also increasing to harness the full potential of RES. These interconnections can also be used to provide inertial support to maintain a level of prerequisite system inertia. This paper proposes a mathematical model for examining the economic aspects of inertia support with HVDC systems. The analysis shows that using inertia support from the HVDC system can reduce the overall cost of maintaining system inertia above the threshold value by 27% for Great Britain.