Optimal Timing to Trade Along a Randomized Brownian Bridge
Abstract
This paper studies an optimal trading problem that incorporates the trader's market view on the terminal asset price distribution and uninformative noise embedded in the asset price dynamics. We model the underlying asset price evolution by an exponential randomized Brownian bridge (rBb) and consider various prior distributions for the random endpoint. We solve for the optimal strategies to sell a stock, call, or put, and analyze the associated delayed liquidation premia. We solve for the optimal trading strategies numerically and compare them across different prior beliefs. Among our results, we find that disconnected continuation/exercise regions arise when the trader prescribe a two-point discrete distribution and double exponential distribution.
Keywords
Cite
@article{arxiv.1801.00372,
title = {Optimal Timing to Trade Along a Randomized Brownian Bridge},
author = {Tim Leung and Jiao Li and Xin Li},
journal= {arXiv preprint arXiv:1801.00372},
year = {2018}
}
Comments
25 pages