On lower partial moments for the investment portfolio with variance-gamma distributed returns

Author(s):  
Roman V. Ivanov
2022 ◽  
Vol 15 (1) ◽  
pp. 22
Author(s):  
Roman V. Ivanov

The paper discusses an extension of the variance-gamma process with stochastic linear drift coefficient. It is assumed that the linear drift coefficient may switch to a different value at the exponentially distributed time. The size of the drift jump is supposed to have a multinomial distribution. We have obtained the distribution function, the probability density function and the lower partial expectation for the considered process in closed forms. The results are applied to the calculation of the value at risk and the expected shortfall of the investment portfolio in the related multivariate stochastic model.


1990 ◽  
Vol 63 (4) ◽  
pp. 511 ◽  
Author(s):  
Dilip B. Madan ◽  
Eugene Seneta

2021 ◽  
Vol 13 (11) ◽  
pp. 6411
Author(s):  
Muhammad Shahid Hassan ◽  
Haider Mahmood ◽  
Muhammad Ibrahim Saeed ◽  
Tarek Tawfik Yousef Alkhateeb ◽  
Noman Arshed ◽  
...  

Institutions help to streamline the economic activity-related procedures, where government intervention might be involved. Institutions also play a significant role in social sustainability. The findings using the Autoregressive Distributed Lag approach to cointegration for the period from 1984–2019 reveal that investment portfolio and democratic accountability reduce poverty in Pakistan both in the long and short run. Moreover, democratic accountability helps to reduce income inequality, but the investment portfolio’s role is not significant. The literacy rate helps to reduce income inequality, and inflation increases poverty and income inequality. The remittances increase income inequality, and urbanization increases poverty. To eradicate poverty and income inequality, the governments should be accountable for their actions to the general public while they remain in power. If they do not deliver as per their manifestoes, they will not be reelected in the next election. Moreover, there is a dire need to redefine the role of an investment portfolio to reduce the risk of investment. So, investments would increase economic activities and could reduce poverty and income inequality. This study contributes to the literature by inquiring about the role of the investment portfolio and democratic accountability in social sustainability by reducing poverty and income inequality. This study only considers Pakistan’s economy due to limitations of poverty data availability in other countries. The scope could further be broadened by accessing data for a wider Asia region to test the role of the investment portfolio and democratic accountability to reduce poverty and income inequality.


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