A. You started your first job on June 1, 2022. As a finance major in college, you understand the importance of saving for retirement early. You have decided to save $200 at the beginning of every month towards retirement. a) Given an interest rate of 12% compounded monthly, compute the value of your savings after 20 years? b) Compute the effective annual rate on this account. c) Assuming that you stopped your monthly savings after 20 years but left the accumulated balance (from part (a) above) in the account for another 15 years, earning 12% interest annually. Compute the value of this account in 15 years. d) On retirement, you plan to invest your savings (from part (c) above) in an account that pays 8% annually; if you hope to live for 20 years after retirement, how much would you be able to withdraw from this account to assist with your retirement expenses? Show all workings and formulae