You are guaranteed annual payments. The first one is $$1,000$ at the end of the first year. Afterwards, the payment will grow by $6$ percent per year. The opportunity ends after $20$ years. Your required return on this investment is $12$ percent. What is the most you would be willing to pay for the opportunity? Group of answer choices $$20,000$ $$12,112$ $$11,125$ $$8,513$ $$10,000$