The Probability of Rare Disasters: Estimation and Implications

Emil  Siriwardane

Working Paper | HBS Working Paper Series | 2015

The Probability of Rare Disasters: Estimation and Implications

Abstract

I analyze a rare disasters economy that yields a measure of the risk neutral probability of a macroeconomic disaster, p*t. A large panel of options data provides strong evidence that p*t is the single factor driving option-implied jump risk measures in the cross section of firms. This is a core assumption of the rare disasters paradigm. A number of empirical patterns further support the interpretation of p*t as the risk-neutral likelihood of a disaster. First, standard forecasting regressions reveal that increases in p*t lead to economic downturns. Second, disaster risk is priced in the cross section of U.S. equity returns. A zero-cost equity portfolio with exposure to disasters earns risk-adjusted returns of 7.6% per year. Finally, a calibrated version of the model reasonably matches the (i) sensitivity of the aggregate stock market to changes in the likelihood of a disaster and (ii) loss rates of disaster risky stocks during the 2008 financial crisis.

Keywords: Financial Markets; Forecasting and Prediction; Financial Crisis; Macroeconomics;

Language: English

Format: Print

82 pages

SSRN Read Now

Citation:

Siriwardane, Emil. "The Probability of Rare Disasters: Estimation and Implications." Harvard Business School Working Paper, No. 16-061, November 2015.

Nickol Hackett, chief investment officer of the Cook County Pension Fund, is responsible for investing the fund’s $9 billion worth of assets on behalf of the employees of Cook County, Illinois. Like many other defined-benefit pensions at the time, the Cook County pension faces a funding shortfall, meaning that the value of its assets is below the value of its future obligations to retirees. Hackett can invest in fixed income securities, public equities, and alternative assets such as hedge funds, real estate, or private equity. What are the costs and benefits of each asset class? Should the funding status of the pension impact the asset allocation process? How should Hackett invest in order to grow the value of the fund’s assets and secure the retirement benefits for thousands of Cook County’s employees?

Using proprietary credit default swap (CDS) data, I investigate how capital shocks at protection sellers impact pricing in the CDS market. Seller capital shocks—measured as CDS portfolio margin payments—account for 12% of the time-series variation in weekly spread changes, a significant amount given that standard credit factors account for 18% during my sample. In addition, seller shocks possess information for spreads that is independent of institution-wide measures of constraints. These findings imply a high degree of market segmentation and suggest that frictions within specialized financial institutions prevent capital from flowing into the market at shorter horizons.

Faculty & Research

The Probability of Rare Disasters: Estimation and Implications

Abstract

Citation:

About the Author

More from the Author