Question 2. (20 pts) After all of your glorious battles against the common enemy, you finally decide to retire from hack & slash and live peacefully for the rest of your life. You decide to deposit some (1000 gold) of your hard- earned gold to a bank that earns you the most interest for a 20-year period. You have three options to choose from: Bank of Orgrimmar, Bank of Stormwind and Bank of Ironforge. Each of the banks have different payment plans to choose from as given below: Bank of Orgrimmar: Deposit 50 gold at the end of each quarter for the first 5 years. Then, for the next 15 years, the bank suggests a rate of 5% compounded quarterly. Bank of Stormwind: Deposit 1000 gold now (year 0), then for the next 20 years the bank suggests a rate of 3% compounded annually. Bank of Ironforge: Deposit 100 gold at the end of each year for the first 10 years. Then for the next 10 years, the bank suggests a rate of 8% with a continuous compounding. Which bank should you deposit your gold? Propose your own counteroffer to any bank you favor the most (you may offer to change the interest periods, payment periods or interest rates. Be realistic in your counteroffers!)