With оne yeаr until yоu grаduаte frоm W&M, you decide to do some retirement planning for yourself. You plan to work for 40 years (staring next year, from year 1 to year 40) and to save the same amount of money each year towards retirement. You believe you can earn an after-tax APR of 6% per year (with monthly compounding) on your savings. You expect to live for 30 years in retirement (i.e., from year 41 to year 70) and want to ensure that you expend all of your retirement savings at the end of this time. You anticipate needing $10,000 each month in retirement. During retirement you expect to earn an after-tax APR of 4% (with monthly compounding) on your savings. Find the amount of money you need to save each month during your working years to fund your retirement. A good cash flow diagram will really help! Answer in whole number form (e.g., 3,000) and enter your number as a positive number.