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@@ -97,7 +97,7 @@ Stochastic Control; Market Frictions; Market Microstructure; FinTech; Deep Learn
Leveraged ETFs with Market Closure and Frictions (with Min Dai, Steven Kou and H. Mete Soner).
- Management Science, forthcoming. [Abstract|SSRN]
+ Management Science, forthcoming. [Abstract|SSRN|Article]
Although leveraged ETFs are popular products for retail investors, how to hedge them poses a great challenge to financial institutions. We develop an optimal rebalancing (hedging) model for leveraged ETFs in a comprehensive setting, including overnight market closure and market frictions. The model allows for an analytical optimal rebalancing strategy.
@@ -106,7 +106,7 @@ Stochastic Control; Market Frictions; Market Microstructure; FinTech; Deep Learn
A Stochastic Representation for Nonlocal Parabolic PDEs with Applications (with Min Dai and Steven Kou).
- Mathematics of Operations Research, forthcoming. [Abstract|SSRN]
+ Mathematics of Operations Research, forthcoming. [Abstract|SSRN|Article]
We establish a stochastic representation for a class of nonlocal parabolic terminal-boundary value problems, whose terminal and boundary conditions depend on the solution in the interior domain; in particular, the solution is represented as the expectation of functionals of a diffusion process with random jumps from boundaries. We discuss three applications of the representation, the first one on the pricing of dual-purpose funds, the second one on the connection to regenerative processes, and the third one on modeling the entropy on a one-dimensional non-rigid body.