Kelly investing with downside risk control in a regime-switching market

2021 ◽  
pp. 1-20
Author(s):  
Leonard MacLean ◽  
Yonggan Zhao
2021 ◽  
pp. 1-17
Author(s):  
Patrice Gaillardetz ◽  
Saeb Hachem ◽  
Mehran Moghtadai

Abstract Throughout the past couple of decades, the surge in the sale of equity-linked products has led to many discussions on the evaluation and risk management of surrender options embedded in these products. However, most studies treat such options as American/Bermudian style options. In this article, a different approach is presented where only a portion of the policyholders react optimally due to the belief that not all policyholders are rational. Through this method, a probability of surrender is obtained based on the option moneyness and the product is partially hedged using local risk-control strategies. This partial hedging approach is versatile since few assumptions are required for the financial framework. To compare the different surrender assumptions, the initial capital requirement for an equity-linked product is obtained under a regime-switching equity model. Numerical examples illustrate the dynamics and efficiency of this hedging approach.


2020 ◽  
Vol 5 (6) ◽  
pp. 6996-7013
Author(s):  
Hui Sun ◽  
◽  
Zhongyang Sun ◽  
Ya Huang ◽  
◽  
...  

Water ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1318
Author(s):  
Chong Meng ◽  
Wei Li ◽  
Runhe Cheng ◽  
Siyang Zhou

Water resource allocation aimed at sustainable watershed development suffers from prominent challenges such as water pollution and scarcity, especially in water-deprived regions. Based on analysis of water quality, use, and sectoral demands during the planning period in the Fenhe River Basin, an improved inexact two-stage stochastic programming model with downside risk control was built for optimal resource allocations for the four primary sectors (industry, domestic use, agriculture, and the environment) in the basin. The principal constraints are river water quality and available water resources under the three hydrological scenarios (low, medium, and high). The results show that industrial, domestic, and agricultural water use in the middle and lower reaches were significantly reduced by requiring improved water quality; agriculture suffered the greatest water shortage and risk. As the level of risk control improved, the comprehensive watershed benefits and agricultural risks were gradually reduced. Improving water reuse significantly reduces the risk and increases the benefits. The model can effectively manage rational water allocations under the dual constraints of water quality and quantity, meanwhile alleviating water competition caused by different water benefits to provide support for coordinating the improvement of water quality and socio-economic development in the basin.


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