“…Most institution-level measures of systemic risk have focussed on empirical, bivariate approaches with an implicit or explicit treatment of statistical dependence (using the historical dynamics of market prices) to determine the joint risk or expected losses based on the assumed directionality of systemic risk propagation: (i) for the contribution approach -Conditional Value-at-Risk (CoVaR) 2 (Adrian and Brunnermeier (2016)) and related extensions, such as Component/Incremental VaR (Liao et al (2015)), Co-Risk (Giudici and Parisi (2016)), and copula-based CoVaR (Reboredo and Ugolini (2015); Reboredo and Ugolini (2016); Karimalis and Nomikos (2018), which show the marginal contribution of firms to system-wide losses during times of individual stress, and (ii) for the participation approach -Systemic Expected Shortfall (SES) (Acharya et al (2010)) and related extensions, such as Component Expected Shortfall (CES) (Banelescu and Dumitrescu (2013)) and Systemic Capital Shortfall/SRISK (Brownlees and Engle (2011)), which show the potential losses of individual banks in response to a large drop in overall market capitalisation of the aggregate banking sector during times of stress. 3 , 4 However, only a few models have incorporated a multivariate 5 perspective using historically informed measures of association, such as Multiple Conditional VaR (MCoVaR) and Multiple Conditional Expected Shortfall (MCoES) (Bernardi et al (2017)), and all of them define default based on a pre-specified threshold of negative shocks to market returns rather than a structural definition of default.…”