This paper develops a discrete-time two-factor model of interest rates with analytical solutions for bonds and many interest rate derivatives when the volatility of the short rate follows a GARCH process that can be correlated with the level of the short rate itself. Besides bond and bond...

This paper investigates the performance of option investments across different stocks by computing monthly returns on at-the-money straddles on individual equities. It finds that options with high historical returns continue to significantly outperform options with low historical returns over...

This paper improves continuous-time variance swap approximation formulas to derive exact returns on benchmark VIX option portfolios. The new methodology preserves the variance swap interpretation that decomposes returns into realized variance and option implied-variance.We apply this new...