Asset pricing
The market price of contagion risk
Every day we sort countries into three portfolios by their share of COVID-19 cases the previous day, separately for advanced (AE) and emerging (EE) economies. The H (L) portfolio holds the countries with the most (fewest) cases. We also consider a strategy that is long H and short L (HML). Each portfolio's exposure to global contagion news moves with its share of cases, \(X_{f,t}\):
$$\begin{aligned}
r^{ex}_{f,t+1} &= \bar r^{ex}_{f,t} + \beta_{f,t}\cdot news^{glob}_{t+1}, \qquad f\in\{H,M,L\}\\[2pt]
\beta_{f,t} &= \beta_0 + \beta_{f,1}\,X_{f,t}\\[2pt]
\frac{\partial\, \bar r^{ex}_{f,t}}{\partial X_{f,t}} &= \lambda\,\beta_{f,1}
\end{aligned}$$
Here \(\lambda\) is the market price of risk (MPR) of global contagion news. We estimate the model by GMM. All portfolios have a significant exposure to contagion news, and the portfolio with the highest share of cases tends to be the most exposed. That sign is what we expect: bad news about the global tone of tweets is an adverse shock to equity returns.
Result
Given our specifications and estimation uncertainty, 0.3% is a reasonable lower bound on the daily market price of risk of contagion news. Two things make this number plausible:
- This is not the MPR of a financial factor, and the estimated betas are very small.
- Contagion risk comes in waves with a short half-life, so assets' exposure to it is small and fades quickly.
Equities are more exposed to contagion risk than bonds. An HML-COVID strategy on bonds earns a zero risk premium in advanced economies and a negative one (an insurance premium) in emerging economies. On equities, the same strategy earns a positive risk premium in both groups, smaller but better identified in advanced economies.