You are comparing two investment options. The cost to invest in either option is the same today. Both options will provide you with $$20,000$ of income. Option A pays five annual payments starting with $$8,000$ the first year followed by four annual payments of $$3,000$ each. Option B pays five annual payments of $$4,000$ each. Which one is better? Please show proper calculations and explaination for each option, and why you chose that specific option.