You have a savings account in which you leave $100,000 for one year without adding or withdrawing from the account. What would you rather have: a daily compounded rate of 0.045%, a weekly compounded rate of 0.305%, a monthly compounded rate of 1.35%, a quarterly compounded rate of 4.15%, a semi-annually compounded rate of 8.5%, or an annually compounded rate of 17%?

As part of your answer, explain the principles of compounding interest, the time value of money, and how the two are related. As part of the decision making process, you should show your calculation for each option and then provide an explanation for your decision. Be sure to address the differences in the calculations.