Georgia Institute of Technology College of Sciences

In recent years, small-time asymptotic methods have attracted much attention in mathematical finance. Such asymptotics are especially crucial for jump-diffusion models due to the lack of closed- form formulas and efficient valuation procedures. These methods have been widely developed and applied to diverse areas such as short-time approximations of option prices and implied volatilities, and non-parametric estimations based on high-frequency data. In this talk, I will discuss some results on the small-time asymptotic behavior of some Levy functionals with applications in finance.