In this paper, we reexamine and extend the stochastic volatility model of Stein and Stein (1991) where volatility follows a mean-reversion Ornstein-Uhlenbeck process. Using Fourier inversion techniques we are able to allow for correlation between instan-taneous volatilities and the underlying...

In this paper, we reexamine and extend the stochastic volatility model of Stein and Stein (1991) where volatility follows a mean-reversion Ornstein-Uhlenbeck process. Using Fourier inversion techniques we are able to allow for correlation between instan-taneous volatilities and the underlying...

In this paper, I address systematically how to enhance the most existing option models with piecewise-constant parameters, and how to derive the corresponding closed-form characteristic function under the risk-neutral measure. As long as the characteristic function with piecewise-constant...

Since the Financial Crisis in 2009, interest rate derivative markets have witnessed a dramatic change in the valuation, especially with respect to cash-flow discounting, forward curve building und counterpart risks. The application of OIS discount curve to value collateralised interest...

In this paper, we reexamine and extend the stochastic volatility model of Stein and Stein (1991) where volatility follows a mean-reversion Ornstein-Uhlenbeck process. Using Fourier inversion techniques we are able to allow for correlation between instan-taneous volatilities and the underlying...

In this paper, we introduce a unified pricing framework for options by applying the Fourier analysis where stochastic volatility, stochastic interest rate and random jump are independently specified. The modeling of volatility and interest rate falls into four different alternatives: constant,...

In this paper, we reexamine and extend the stochastic volatility model of Stein and Stein (1991) where volatility follows a mean-reversion Ornstein-Uhlenbeck process. Using Fourier inversion techniques we are able to allow for correlation between instantaneous volatilities and the underlying...

In this paper we will establish a generalized Swap Market Model (GSMM) by unifying the stochastic process of swap rates with constant tenors under a single swap measure. GSMM is a natural extension of Libor Market Model (LMM) for swap rates, and LMM can be considered as a special case of GSMM...

In this paper we extend standard Libor Market Model (LMM) with nested stochastic volatilities. The stochastic volatility of each Libor follows a mean-reverting process as in Schoebel and Zhu (1999) or in Heston (1993) under the individual forward measure of each Libor. Other than the existing...