Part 1: Barry and Samantha Harris - Retirement Savings (15 points)

Barry and Samantha are starting to take their retirement planning seriously. They are both 46 and plan to retire in 20 years at the age of 66. They expect to live 20 years in retirement (a life expectancy of 86). Between their 401k and IRA accounts they currently have $66,311 in retirement savings.

They currently have a combined income of $85,000 per year and expect to be able to live comfortably in retirement with 80% of their current purchasing power. They expect inflation to be 2% per year for the rest of their lives. They also expect to earn 10.5% per year (the average return on Blue Chip stocks) on their investments, both now and in retirement.

Conduct an analysis of their retirement planning needs and provide them with a professionally written letter. In the letter and attached schedules provide information that answers the following questions. Please include a description of the relevant assumptions and any explanatory comments that make the results easier to understand.

What amount of annual income will they need (after adjusting for inflation) in each of the twenty years of retirement to have the purchasing power of 80% of their current income?

Assuming they will continue to earn 10.5% on their investments, how much money will they need to have in their retirement accounts when they retire so that it will provide the twenty years of income?

Taking into account what they currently have in savings, how much will they have to save each month to meet their retirement needs?

Sensitivity analysis: Redo the analysis assuming that they only earn 9% on their investments, instead of 10.5%. Determine the needed amounts so they have the money they need in retirement.

Note: Assume that all payments will be made at the end of the period (ordinary annuity).