The year is $2005.$ Taylor Swift wants to start a music career. It would cost

$$1,000,000$ today to make her first album. She has a payback period of $3$ years. In her first year, she would earn $$100,000.$ In her second and third years, she would earn $$250,000.$ In years $4$ and $5,$ she would earn $$7,000,000.$ Every year after she would earn $$10,000,000.$ Interest rates are currently $5\%$ annually. Should she pursue music? Show your reasoning using the payback method and state your decision.