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arXiv · 1809.05961

Optimal Dynamic Basis Trading

Bahman Angoshtari·Tim Leung
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Abstract

We study the problem of dynamically trading a futures contract and its underlying asset under a stochastic basis model. The basis evolution is modeled by a stopped scaled Brownian bridge to account for non-convergence of the basis at maturity. The optimal trading strategies are determined from a utility maximization problem under hyperbolic absolute risk aversion (HARA) risk preferences. By analyzing the associated Hamilton-Jacobi-Bellman equation, we derive the exact conditions under which the equation admits a solution and solve the utility maximization explicitly. A series of numerical examples are provided to illustrate the optimal strategies and examine the effects of model parameters.

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Bahman Angoshtari, Tim Leung. 2019-05-25. Optimal Dynamic Basis Trading. https://arxiv.org/abs/1809.05961

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