Assume that today is January 1, 2023. A client of your financial advisement firm is creating a plan to meet his financial goals. First, he would like to retire twenty years from now when he is fifty-five years old (first retirement payment January 1, 2043). He wants an annual retirement income of $87,000 per year for forty years. Second, he would like to purchase a used sports car eight years from now, with an estimated cost of $66,000. He can afford to save only $9,750 per year for the first ten years. He expects to earn 7% per year on average from investments over his lifetime. What must his minimum annual savings be in order for him to meet his objectives, beginning after the first ten years and lasting until he retires? For the sake of simplicity, assume that he makes savings payments at the end of each year.