A. Consider the following information: You will work for 45 years and, then, retire. You will live for 25 years after you retire. You expect to earn 13% on your retirement fund during your working years and 6.5% after you retire. You estimate that your salary will grow at an average annual rate of 5.0% and inflation will average 3.50% during your retirement years. You have determined that you will need to accumulate a total of $4,000,000 to meet your financial goals in retirement 1. How much must you save at the end of your first month at work to accumulate $4M? 2. Given your goal to accumulate $4M at retirement, how much can you expect to withdraw in your first year of retirement? You will take withdrawals at the beginning of each year. Assume that you will have a zero balance after your final annual withdrawal. 3. Now, assume you already have $80,000 when you start working. How much must you save in the first month to reach your $4M goal?? B. You have a home equity loan (HELOC). The line of credit is good for 20 years. The HELOC carries a 5% annual interest rate. The terms of the credit line require that you pay monthly payments equal to 2.0% of the outstanding balance, but no less than $90 You have decided to borrow $26,000 to build an outdoor patio complete with a built-in stone grill and smoker. In addition, you will construct a firepit. The flagstone patio will be surrounded by extensive subtropical landscaping, including a koi pond and fountain. 4. If you only make minimum payments, how long will it take to pay off $26,000? 5. How much extra must you pay every month if you want to pay off the balance in 7 years