In: Finance
Assume Nike is exposed to a currency portfolio weighted 50
percent in Canadian dollars and 50 percent in Mexican pesos. Nike
estimates the standard deviation of quarterly percentage changes to
be 4 percent for the Canadian dollar and 6 percent for the Mexican
peso. Also assume that Nike estimates a correlation coefficient of
0.2 between these two currencies.
a) Calculate the portfolio’s standard deviation.
b) Assuming i) normal distribution of the quarterly percentage
changes of each currency (and so the same of the portfolio as
well), and ii) an expected percentage change of -1 percent for the
currency portfolio, calculate the maximum one-quarter loss of the
currency portfolio based on a 95 percent confidence level.