A one-factor asset pricing model with an Ornstein–Uhlenbeck process as its state variable is studied under partial information: the mean-reverting level and the mean-reverting speed parameters are modeled as hidden/unobservable stochastic variables. No-arbitrage pricing formulas for derivative...

The Lugannani-Rice formula is a saddlepoint approximation method for estimating the tail probability distribution function, which was originally studied for the sum of independent identically distributed random variables. Because of its tractability, the formula is now widely used in practical...

A one-factor asset pricing model with an Ornstein--Uhlenbeck process as its state variable is studied under partial information: the mean-reverting level and the mean-reverting speed parameters are modeled as hidden/unobservable stochastic variables. No-arbitrage pricing formulas for derivative...

A Hobson-Rogers [Hobson, D.G., Rogers, L.C.G. 1998. Complete models with stochastic volatility. Math. Finance 8 (1) 27-48] type "path-dependent" stochastic volatility model is solved explicitly, and the Laplace transform of its marginal distribution is computed in a closed form.