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Consider a random interest rate Ri paid in year i and another random interest rate Rj paid in year jj with i=j. Which of the following statements are correct? Tick all those that are correct and don't tick those that are incorrect. a. If Rf and Rf are uncorrelated then necessarily they are also statistically independent. b. Random interest rates Ri are always lognormally distributed. c. If Ri and Rj are statistically independent then necessarily they are also uncorrelated. d. The variance satisfies Var(Ri)=2Var(Ri) for any positive constant . e. In real markets, the assumption of statistically independent interest rates Ri and Rj can be quite unrealistic. f. The equation E(Rl+Rj)=E(Rl)+E(Rj) necessarily requires that Rf and Rf are statistically independent