Investors care about the probability density of tomorrow's Government bond yields, while the literature on term structure models has focused on monthly or weekly yields. Past literature has long since documented the Garch-type conditional heteroscedasticity of daily yields, but again the...

This paper studies how volatility affects the risk premium in crude oil futures through a discrete-time term structure model with long-run and short-run GARCH-type volatility components. Estimated using WTI crude oil futures data from January 1990 to July 2016, our model simultaneously matches...

In this paper, a detailed proof is provided for the value of compound options based on geometric Brownian motion with maturity varying yields, maturity varying volatility, and maturity varying interest rates. Most research papers focused on compound options do not address yields on the...

We show that equity volatility serves as a determinant of future Treasury term-structure volatility over the recent October 1997 to June 2013 period. We find that equity volatility contains incrementally reliable information for the subsequent volatility of: (1) 10-year and 30-year bond futures...

This is a pioneering effort to test the comparative performance of two competing models for out-of-sample forecasting the term structure of volatility of crude oil price changes employing both symmetric and asymmetric evaluation criteria. Under symmetric error statistics, our empirical model...

This paper introduces a generalized discrete time framework to evaluate the empirical performance of a wide variety of well-known models in capturing the dynamic behavior of short term interest rates. A new class of models which displays nonlinearity and asymmetry in the drift, and incorporates...

This paper studies the information content of the S&P 500 and VIX markets on the volatility of the S&P 500 returns. We estimate a flexible affine model based on a joint time series of underlying indexes and option prices on both markets. An extensive model specification analysis reveals that...

This paper studies a large number of Bitcoin options traded on the options exchange Deribit. We use the trades to calculate implied volatility and analyze if volatility forecasts can be improved using such information. Implied volatility is less accurate than ARMA or HAR model forecasts in...

This paper discusses risk-minimizing hedging strategies under affine GARCH models driven by Gaussian innovations. First, we derive a closed-form expression for an optimal hedge ratio under this model that is applicable to European derivatives with payoff functions that admit an inverse Laplace...

I propose an affine discrete-time model, called Vector Autoregressive Gamma with volatility Bursts (VARG-B) in which volatility experiences, in addition to frequent and small changes, periods of sudden and extreme movements generated by a latent factor which evolves according to the...