The stochastic-alpha-beta-rho (SABR) model is widely used by practitioners in interest rate and foreign exchange markets. The probability of hitting zero sheds light on the arbitrage-free small strike implied volatility of the SABR model, and the survival probability is also closely related to...

In this paper, by adopting a quasi-Lamperti transform unitizing the process’ diffusion matrix at the initial time, we provide a new explicit recursive formula to compute the expansion coefficients for the pathwise Taylor expansion method of Li (2013). The quasi-Lamperti transform also allows...

This supplementary material for "Asymptotics for the Survival Probability of Time-Inhomogeneous Diffusion Processes" contains (i) some facts related to the normal density and distribution functions (Section 1), which are used in the calculation of explicit formulas in Equation (19) (Section 2);...

In this paper, we study the theory of preference over unbounded random prospects using an axiomatic approach. We first show that Yaari's dual independence axiom can be decomposed into two axioms, the homogeneity axiom and the co-monotonic independence with respect to addition axiom, and we...

Autonomous vehicles (AVs) are expected to operate on Mobility-on-Demand (MoD) platforms because AV technology enables flexible self-relocation and system-optimal coordination. Unlike the existing studies, which focus on MoD with pure AV fleet or conventional vehicles (CVs) fleet, we aim to...