You are 30 years old and start planing your retirment. You expect to be able to invest $4,000 each year until you are 50 years old, and then $5,000 each year until you retire at age 65.

a. You expect to earn 6.1% on your investments. What is the expected value of your retirement account at age 65?

b. During retirement, you expect to spend about $160,000 per year. You expect to live until you are 85 years old, and will continue to earn 6.1% on your remaining investments until you die. How much do you need to have saved at age 65 to fund your retirement? Is your retirement completely funded by your investments? If not, what is the difference?

c. You just received a large inheritance. If your retirement is not completely funded by your investments, how much of the inheritance do you need to set aside now (at age 30) to fund the remainder of your retirement needs, if you expect to earn 6.1% on your investments?