A particle moves among k+1 vertices (0,1,…,k) that are situated on a circle in the following manner. At each step, it moves one vertex in a clockwise direction with probability p or one vertex in a counterclockwise direction with probability 1–p (or q). Starting in state 0, what is the probability that we visit all the other states before we return to 0?

Which account has the highest effective annual interest rate? not necessary but show how you got your answer.a. account 1: interest is compounded quarterly at an annual rate of 4.20%.b. account 2: interest is compounded monthly at an annual rate of 4.15%.c. account 3: interest is compounded semiannually at an annual rate of 4.10%d. account 4: interest is compounded annually at a rate of 4.25%.