Realized volatility is a nonparametric ex-post estimate of the return variation. The most obvious realized volatility measure is the sum of finely-sampled squared return realizations over a fixed time interval. In a frictionless market, the estimate achieves consistency for the underlying...

We give an overview of a broad class of models designed to capture stochastic volatility in financial markets, with illustrations of the scope of application of these models to practical finance problems. In a broad sense, this model class includes GARCH, but we focus on a narrower set of...

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for equity index options, despite minimal changes in aggregate consumption. We explain these events within a general equilibrium framework in which expected endowment growth and economic...

We investigate optimal capital structure and debt maturity policies in the presence of fixed issuance costs. We identify the global-optimal policy that generates the highest values of equity across all states of nature consistent with limited liability. The optimal policy without commitment...

We propose an equilibrium model for defaultable bonds that are subject to contagion risk. Contagion arises because agents with "fragile beliefs"' are uncertain about the underlying economic state and its probability. Estimation on sovereign European credit default swaps (CDS) data shows that...

Why is an inverted yield-curve slope such a powerful predictor of future recessions? We show that a decomposition of the yield curve slope into its expectations and risk premia components helps disentangle the channels that connect fluctuations in Treasury rates and the future state of the...

We propose a no-arbitrage model that jointly explains the dynamics of consumer prices as well as the nominal and real term structures of risk-free rates. In our framework, distinct core, food, and energy price series combine into a measure of total inflation to price nominal Treasuries. This...