Dynamic Portfolio Selection and Risk-Return Trade off with Respect to Stock Price Jumps in Continuous Time

Author(s):  
Bernhard Nietert
2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Hui-qiang Ma

We consider a continuous-time mean-variance portfolio selection model when stock price follows the constant elasticity of variance (CEV) process. The aim of this paper is to derive an optimal portfolio strategy and the efficient frontier. The mean-variance portfolio selection problem is formulated as a linearly constrained convex program problem. By employing the Lagrange multiplier method and stochastic optimal control theory, we obtain the optimal portfolio strategy and mean-variance efficient frontier analytically. The results show that the mean-variance efficient frontier is still a parabola in the mean-variance plane, and the optimal strategies depend not only on the total wealth but also on the stock price. Moreover, some numerical examples are given to analyze the sensitivity of the efficient frontier with respect to the elasticity parameter and to illustrate the results presented in this paper. The numerical results show that the price of risk decreases as the elasticity coefficient increases.


CFA Digest ◽  
2005 ◽  
Vol 35 (4) ◽  
pp. 71-72
Author(s):  
Frank T. Magiera
Keyword(s):  

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 413
Author(s):  
David Vidal-Tomás ◽  
Ana M. Ibáñez ◽  
José E. Farinós

We analyze the economic efficiency of the cryptocurrency market after the launch of Bitcoin futures by means of the Data Envelopment Analysis and Malmquist Indexes. Our results show that the introduction of Bitcoin futures did not affect the economic efficiency of the cryptocurrency market. However, we observe that Bitcoin obtained the highest risk-return trade-off due to its liquidity compared to the rest of cryptocurrencies. Therefore, our paper underlines the support of investors on Bitcoin to the detriment of the rest of cryptocurrencies.


2007 ◽  
Vol 14 (6) ◽  
pp. 971-986 ◽  
Author(s):  
Charlotte Christiansen ◽  
Juanna Schröter Joensen ◽  
Helena Skyt Nielsen

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