Time value of money: a. Consider the following three alternatives. 105 in one year, 120 in 5 years, and 135 in 10 years. Rank the alternatives from most to least valuable if the interest rate is (i) 1%, (ii) 3%, (iii) 5%. b. Suppose you invest 1, 200 in an account paying 5.5% interest per year. (i) What is the balance in the account after 7 years? How much of this balance corresponds to "interest on interest"? (ii) What is the balance in the account after 26 years? How much of this balance corresponds to "interest on interest"? c. Your grandfather put some money in an account for you on the day you were born. You are now 19 years old and are allowed to withdraw the money for the first time. The account currently has 7, 580.85 in it and pays a 5% interest rate. (i) How much money would be in the account if you left the money there until your 25^th birthday? (ii) How much would be in your account if you left the money in the account until your 65^th birthday? (iii) How much money did your grandfather originally put in the account