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Working Paper
Tractable Rare Disaster Probability and Options-Pricing
We derive an option-pricing formula from recursive preference and estimate rare disaster probability. The new options-pricing formula applies to far-out-of-the money put options on the stock market when disaster risk dominates, the size distribution of disasters follows a power law, and the economy has a representative agent with Epstein-Zin utility. The formula conforms with options data on the S&P 500 index from 1983-2018 and for analogous indices for other countries. The disaster probability, inferred from monthly fixed effects, is highly correlated across countries, peaks during the ...
Working Paper
The Price of Macroeconomic Uncertainty: Evidence from Daily Options
Using recently available daily S&P 500 index option expirations, we examine the ex ante pricing of uncertainty surrounding key economic releases and the determinants of risk premia associated with these releases. The cost of insurance against price, variance, and downside risk is higher for options that span U.S. CPI, FOMC, Nonfarm Payroll, and GDP releases compared to neighboring expirations. We calculate release-driven forward equity and variance risk premia and find that premia vary considerably across economic releases and increase with risk aversion as well as with monetary policy and ...
Working Paper
The Risky Steady State and the Interest Rate Lower Bound
Even when the policy rate is currently not constrained by its effective lower bound (ELB), the possibility that the policy rate will become constrained in the future lowers today's inflation by creating tail risk in future inflation and thus reducing expected inflation. In an empirically rich model calibrated to match key features of the U.S. economy, we find that the tail risk induced by the ELB causes inflation to undershoot the target rate of 2 percent by as much as 45 basis points at the economy's risky steady state. Our model suggests that achieving the inflation target may be more ...
Working Paper
Predicting Operational Loss Exposure Using Past Losses
Operational risk models, such as the loss distribution approach, frequently use past internal losses to forecast operational loss exposure. However, the ability of past losses to predict exposure, particularly tail exposure, has not been thoroughly examined in the literature. In this paper, we test whether simple metrics derived from past loss experience are predictive of future tail operational loss exposure using quantile regression. We find evidence that past losses are predictive of future exposure, particularly metrics related to loss frequency.
Working Paper
Entry and Exit, Unemployment, and the Business Cycle
Establishment entry and exit is strongly correlated with output and unemployment. This paper examines how these linkages affect business cycle dynamics through the lens of a search and matching model augmented to include multi-worker establishments that endogenously enter and exit. Analytical results show cyclical entry and exit cause reallocation of inputs that amplifies and skews business cycle dynamics. When the model is calibrated to the data, it generates realistic asymmetry in output and unemployment, data-consistent counter-cyclical endogenous uncertainty and a 55% higher welfare cost ...
Working Paper
The Price of Macroeconomic Uncertainty: Evidence from Daily Options
Using recently available daily S&P 500 index option expirations, we examine the ex ante pricing of uncertainty surrounding key economic releases and the determinants of risk premia associated with these releases. The cost of insurance against price, variance, and downside risk is higher for options that span U.S. CPI, FOMC, Nonfarm Payroll, and GDP releases compared to neighboring expirations. We calculate release-driven forward equity and variance risk premia and find that premia vary considerably across economic releases and increase with risk aversion as well as with monetary policy and ...
Working Paper
Effective Lower Bound Risk
Even when the policy rate is currently not constrained by its effective lower bound (ELB), the possibility that the policy rate will become constrained in the future lowers today's inflation by creating tail risk in future inflation and thus reducing expected inflation. In an empirically rich model calibrated to match key features of the U.S. economy, we find that the tail risk induced by the ELB causes inflation to undershoot the target rate of 2 percent by as much as 50 basis points at the economy's risky steady state. Our model suggests that achieving the inflation target may be more ...
Working Paper
The Price of Macroeconomic Uncertainty: Evidence from Daily Options
Using recently available daily S&P 500 index option expirations, we examine the ex ante pricing of uncertainty surrounding key economic releases and the determinants of risk premia associated with these releases. The cost of insurance against price, variance, and downside risk is higher for options that span U.S. CPI, FOMC, Nonfarm Payroll, and GDP releases compared to neighboring expirations. We calculate release-driven forward equity and variance risk premia and find that premia vary considerably across economic releases and increase with risk aversion as well as with monetary policy and ...
Working Paper
Expectation and Duration at the Effective Lower Bound
I study unconventional monetary policy in a structural model of risk-averse arbitrage, augmented with an effective lower bound (ELB) on nominal rates. The model exposes nonlinear interactions among short-rate expectations, bond supply, and term premia that are absent from models that ignore the ELB, and these features help it replicate the recent behavior of long-term yields, including event-study evidence on the responses to unconventional policy. When the model is calibrated to long-run moments of the yield curve and subjected to shocks approximating the size of the Federal Reserve?s ...