Amber is saving for retirement. Starting at age 40, she saves $1,500 per month (at the end of each month). in an account paying 2.750% compounded semi-annually.

a) What is the effective monthly interest rate?

b) How much money has she saved by the time she turns 65?

c) She wants to withdraw this money in equal weekly installments (at the end of each week) over the next 20 years. (The interest rate remains the same.) How much are her weekly withdrawals?

d) Bonus! If Amber dies at age 80, how much money is in her account?