scholarly journals L\'{e}vy Process, Proportional Transaction Costs and Foreign Exchange

2017 ◽  
Vol 9 (5) ◽  
pp. 133
Author(s):  
Obonye Doctor ◽  
Elias R. Offen ◽  
Edward M. Lungu

We analyse optimal portfolio selection problem of maximizing the utility of an agent who invests in a stock and money market account in the presence of proportional transaction cost $\lambda>0$ and foreign exchange rate. The stock price follows a (generalized) Geometric It\^{o}-L\'{e}vy process. The utility function is $U(c)={c^{p}}/{p}$ for all $c\geq0$, $p<1$, $p\neq0$.

2016 ◽  
Vol 8 (7) ◽  
pp. 193 ◽  
Author(s):  
Tran Mong Uyen Ngan

The relationship between foreign exchange rate and stock price is one popular topic that is interested by not only board managers of banks but also stock investors. By using data about foreign exchange rate between Vietnam Dong (VND) and United State Dollar (USD), stock prices data of nine commercial joint stock banks in Vietnam from the first day of 2013 to the last day of 2015, this paper try to answer the question “Does foreign exchange rate impact on stock price and vice verse?”. Applying Dickey Fuller test and Var Granger Causality test for the time series data, the results show that there is an impact of foreign exchange rate on stock price. Although the fluctuation in foreign exchange rate VND/USD causes the change in stock prices of commercial joint stock banks in Vietnam, however, the vector of this impact is not clearly. On the opposite way, the change in stock price does not cause the change in foreign exchange rate, this relation is one-way relation.


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