Capital Allocation Methods for Insurance Companies
How actuaries allocate capital across business lines using risk-based methods.
Why Allocate Capital?
Insurance companies hold capital to absorb unexpected losses and maintain solvency. Allocating this capital to individual business lines enables performance measurement on a risk-adjusted basis, informed pricing decisions, and strategic resource allocation. Without capital allocation, profitable lines that consume little capital appear equally attractive to risky lines that require substantial capital support. Common risk measures used as the basis for allocation include Value at Risk (VaR), Tail Value at Risk (TVaR), and the standard deviation of losses.
Allocation Methods
Several methods exist for allocating aggregate capital to individual business segments. Proportional allocation distributes capital in proportion to each segment's standalone risk measure. The covariance method uses the marginal contribution of each segment to the portfolio's total variance. The Shapley value method, borrowed from cooperative game theory, averages each segment's marginal contribution across all possible orderings. The Euler method allocates capital based on partial derivatives of the aggregate risk measure with respect to each segment's exposure. The choice of method affects the allocated capital amounts and consequently the apparent profitability of each segment, making methodology selection an important strategic decision.