Part I: Robin is planning for her retirement. She is currently 37 years old and plans to retire at age 62 and live until age 97. Robin currently earns $100,000 per year and anticipates needing 80% of her income during retirement. She anticipates social security will provide her with $15000 per year at age 62. leaving her with required savings to provide $65,000 ($100,000 X 0.80-$15,000) annually during retirement. She believes she can earn 11% on her investments and inflation will be 2% per year. How much must Robin save at the end of each year, if she wants to make her last savings payment at age 62 to meet her retirement goal?

a.) $10,846.78

b.) $10,899.37

c.) $11,861.07

d.) $13,414.60

Part II: Use the facts above except that Robin would like to have the same amount in retirement savings at age 97, as she does at age 62, when she retires. How much must Robin save at the end of each year, if she wants to make her last savings payment at age 62, and maintain the original account balance needed at retirement for the entire retirement life expectancy?

a.) $2,379.57

b.) $10,899.37

c.) $11,181.92

d.) $11,280.51

Part III: Assume the facts in part I are the same except that Robin would like to have the same purchasing power in retirement savings at age 97, as she does at age 62, when she retires. How much must Robin save at the end of each year, if she wants to make her last savings payment at age 62 to meet her retirement goal, assuming she wants to maintain the original purchasing power of her capital balance?

a.) $4,758.88

b.) $10,899.37

c.) $11,464.44

d.) $11,565.52

Please show steps.