The 10 days volatility of Down Jones index is 3.3 % and 5 days volatility of RM/USD currency is 1.1%. Assuming you have choice to invest one or both of them. However, there is correlation between Down Jones Index and exchange rate RM/USD (US Dollar) is 0.3 if you invest both of them.

a) Compute the daily volatility of Down Jones index.

b) Compute the daily volatility of exchange rate RM/USD (US Dollar).

c) Compute 20 days volatility of Down Jones index.

d) Compute 5 days volatility if I invest both Down Jones Index and US Dollar.

e) Compute the volatility if I invest both Down Jones and US dollar for 20 days.

f) The covariance between Down Jones and exchange rate between RM and Dollar is 0.4. Briefly explain on the figure imply in this context.