2. Mrs. D who 27 years old plans to retire at the age of 55. Mrs. D would like to be able to withdraw $132,000 per year from her retirement account for 45 years after retirement beginning the year after her retirement. She is also expecting an inheritance of $54,000 to be transferred to her on her 35th birthday.

a How much does she need to have in her retirement account by retirement date if the interest rate is 6% per year during the post-retirement years?

b Suppose she already has $12,000 in her retirement investment account that earns 9% per year. What will be the value of this amount by her retirement date?

c Given her goal, her expected inheritance, and the investment she already has in 1b, how much does she need to invest per year from now till retirement (at 9% annual rate of return) in order to reach her retirement goal?