Bob is $37$ years old and is an account manager with a large telecom company. He$$s been dragging his feet with his retirement plan, opting instead for expensive trips to Vegas and Aspen. He$$s decided it$$s time to get serious about saving for his retirement. He plans to retire at age $67$ and travel the world. Because of this plan, he figures he needs approximately $$70,000/$year in retirement. His grandfather lived until he was $86$ and his dad is in perfect health at age $70,$ therefore Bob figures he should plan to be around until he$$s $90.$ So far, he has $$11,000$ saved for retirement and because of his aggressive investment philosophy, is planning for a return on all his investments before retirement of $8\%.$ Following retirement he will invest more conservatively and will plan for a $5\%$ return on investments. His company$$s retirement plan is defined contribution, so he doesn$$t plan on getting a pension. He is not counting on social security to be around, so he isn$$t including that in his plan. Thus, his entire retirement will be funded on his own savings.

A$.$How much will Bob have saved at the end of his work life, if he doesn$$t add to his current savings?

B$.$How much money will Bob need during retirement based on his calculations?

C$.$How much will Bob need to save each year to be ready for retirement at age $67?$