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An investor sets aside $10,000 when they are 18 years old. How much will the investor have accumulated at the end of 50 years if

  1. An investor sets aside $10,000 when they are 18 years old. How much will the investor have accumulated at the end of 50 years if he/she can earn an average return of 8%? How much will be accumulated in the account if the investor earns 10% instead of 8%? Note: This is not when the investor is 50 years old. Rather the investment is allowed to grow for 50 years.
  2. An investor has determined that they need to accumulate $1,500,000 for retirement in 35 years. How much should this investor set aside each year in order to meet this goal if they expect an average return of 9%? How much must this investor set aside each year if they only have 25 years to accumulate their desired $1,500,000? What if the investor waits until there are only 15 years to accumulate the $1,500,000?
  3. Rather than saving each year to achieve their $1,500,000, assume the investor in question 2 saves monthly. How much must the investor set aside each month for 35 years? 25 years? 15 years?
  4. At retirement, an investor plans to withdraw $40,000 per year. The investor assumes that he/she can earn an average 6% return over the 25 years they expect to make withdrawals. How much must this investor have accumulated in order to achieve their objective of withdrawing $40,000 per year?
  5. What if the investor in question 4 wants to withdraw $3,600 per month?
  6. An investor can afford to set aside $900 per month for retirement. He/she anticipates earning an average 8% return over a 30-year period. This investor would like to have $2,000,000 at retirement in 30 years. Will this investor meet this goal given the $900 per month contribution? How much more must this person set aside each month to meet the goal of $2,000,000 at retirement? If the investor cannot afford the additional contribution needed to meet the goal, what are some other options in planning for his/her retirement?
  7. Compute how much you need to save each month for your retirement goal from the financial planning assignment earlier this semester (Assignment 1). Assume an expected return of 8.8% per year.

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