Captain America, Iron Man and the Black Widow each have an offer for the next movie that they would like you to analyze for them and determine who will be getting the best deal. Captain America will receive $200,000 per year starting on his 35th birthday and ending on his 60th birthday (his last payment will be on his 60th birthday). He then will receive $400,000 every six months starting six months after the last payment of $200,000 and ending on his 89th birthday. He will also receive $16,000,000 on his 90th birthday and another $16,000,000 on his 95th birthday. Iron Man has been offered an investment that will pay him $250,000 per year starting on his 35th birthday and continuing until his 60th birthday (his last payment of $250,000 will occur on his 60th birthday). He then will receive $40,000 every six months, with the first of these coming six months after his last payment of $250,000 and continuing until his 80th birthday (that will be his last payment of $40,000). Finally he will receive $24,000,000 one year after his last payment of $40,000. Black Widow is offered an investment that will pay her $120,000 every six months starting on her 35th birthday and ending six months before her 65th birthday. She then will receive $300,000 every other year for ten years (5 payments) with the first of these coming six months after her last payment of $120,000. Black Widow would also receive $1,000,000 one year after her last payment of $300,000. Assuming each is celebrating their 30th birthday today and they have a 11% (semi-annual) opportunity cost, which of them has the best offer? SHOW ALL WORK as presented in lectures and solutions. Make your decision using the present value concept.

(Please use a graphing calculator)