Conclusion
In this paper, we improve the financial statements based risk aggregation framework by incorporating OBS activities into risk aggregation, which allows us to capture both onbalance and off-balance sheet risks simultaneously. In the empirical analysis, we apply this improved framework to aggregate credit, market, liquidity and operational risks by using a sample of all 16 Chinese listed commercial banks for the period 2007–2014. Then we empirically study whether the overall impact of OBS activities and the individual impact of each of the OBS risk types on total risk depend on bank size by constructing two typical Chinese commercial banks. Moreover, this research divides the samples into two subsets to find out the transformation of Chinese banks’ risks during and after the subprime crisis. Our empirical results show that the total risk of Chinese commercial banks is affected by OBS activities. Specifically, OBS credit risk is positively linked to total risk while OBS operational risk is negatively linked to total risk for both large and small banks. However, the influence degrees of each of the OBS risk types on total risk differ by banks, which further lead to the conclusion that the overall impact of OBS activities on total risk depends upon bank size. Specifically, the entire OBS activities are negatively related with the large bank’s total risk while positively related with the small bank’s total risk. Hence, the large bank’s total risk is overestimated while the small bank’s total risk is underestimated if OBS items are ignored in risk aggregation. Besides, the risk transformation analysis for Chinese commercial banks suggests that it is the increase of liquidity risk and market risk that leads to the larger total risks for both large and small banks during the subprime crisis.