A) You want to save for retirement by making 20 equal annual contributions of $20,000/year starting next year. Unfortunately, you had to miss your 8th contribution. To compensate for this you have decided to increase your contributions for the remaining 12 years (from t=9 till t=20) By how much you will have to increase your future contributions so that you will accumulate the same amount on your retirement account. Assume the annual interest rate (with annual compounding) is 8% B) You want to save for retirement by making equal annual contributions over the next 40 years and use your retirement savings to make equal withdrawals for 30 years after retirement. Assume you make your first withdrawal exactly 1 year after your last deposit. At t=15 you received a one-time bonus of $30,000 that you add to your retirement account in addition to your regular contributions. Assume you still plan to make 30 equal withdrawals By how much your annual retirement withdrawals have been increased because of this extra contribution? Assume the annual interest rate (with annual compounding) is 8% C) Find the Present Value of growing perpetuity with the first payment of $1000 at t=6 and a growth rate of 3%. No payments are made in years 1-6. Assume the annual interest rate (with annual compounding) is 8% D) You just took a 30-year $416,979.04 mortgage with $2,500 monthly payments and APR=6% (compounded monthly) What will be your balance 20 years from now (right after you'll pay your 240th payment