scholarly journals Optimal Dynamic Futures Portfolio in a Regime-Switching Market Framework

2019 ◽  
Author(s):  
Tim Leung ◽  
Yang Zhou
2019 ◽  
Vol 06 (04) ◽  
pp. 1950034
Author(s):  
Tim Leung ◽  
Yang Zhou

We study the problem of dynamically trading futures in a regime-switching market. Modeling the underlying asset price as a Markov-modulated diffusion process, we present a utility maximization approach to determine the optimal futures trading strategy. This leads to the analysis of the associated system of Hamilton–Jacobi–Bellman (HJB) equations, which are reduced to a system of linear ODEs. We apply our stochastic framework to two models, namely, the Regime-Switching Geometric Brownian Motion (RS-GBM) model and Regime-Switching Exponential Ornstein–Uhlenbeck (RS-XOU) model. Numerical examples are provided to illustrate the investor’s optimal futures positions and portfolio value across market regimes.


2011 ◽  
Vol 43 (1) ◽  
pp. 43-56
Author(s):  
Graeme J. Doole ◽  
Greg L. Hertzler

The capacity of global agricultural production to meet increased demand for food from population growth and wealth accumulation is threatened by extensive land degradation. Nonetheless, previous research has focused primarily on the dynamic implications of input management and ignored land-use choice. This paper extends this theory through an examination of the intertemporal management of agricultural land through the use of non-crop inputs, such as fertilizer, and land uses that either degrade or restore productivity. The need to consider the relative total asset value of alternative crops over time is demonstrated. Moreover, higher output prices for degrading crops are shown to increase their relative value, motivating the later adoption of substitutes. An inability of land markets to reflect differences in resource quality and low capital malleability promote greater degradation. However, substitution of complementary effects through input use may help to sustain productivity. These factors are discussed in the context of crop sequence management in Western Australian cropping systems.


Author(s):  
Kwangmoon Kim ◽  
Minsuk Kwak ◽  
U. Jin Choi
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