You are planning to take an unpaid leave and travel to Mars, 6 years from now. You have already saved all the money needed for your Mars trip (all the Mars trip costs are already covered; you dont worry about them). Your main worry is how to cover your family expenses during your four- years trip to Mars (you expect to stay on Mars for four years). You expect your family needs $4,000 a month during your stay on Mars (end of month expenses). To secure these funding you decided to take a part time job. With your new part time job, you can save $2,000 each month for the coming two years (end of months savings). You can also save $1,500 each month in the third and fourth year (end of month savings). How much should you save each month in the fifth and sixth year (end of month saving) so that you can cover your family expenses during your trip to Mars? Assume 12% APR compounded monthly?