You are planning for your retirement. You feel you want to have a monthly salary of $7,000 starting on the 1st month after you retire to be able to provide comfortably for your daily expenses through your retirement years. You are currently 33 and plan on retiring when you become 64 , and you expect to live 20 years after retirement. In addition to providing a salary for your retirement you would like to buy a house by the time you reach 55 . The house you dream of would cost you 1,650,000. Now you have 50,000 . In addition you would like to offer yourself a retirement gift, a Mercedes that you would buy brand new to serve you through your retirement years. The expected car cost will be $76,000. It will be purchased when you reach 64 years of age. Assume you can earn 12% compounded monthly from now until you retire, and the rate changes to 6% monthly compounding after retirement. How much should you save per month to meet all your objectives of buying the house ouying the car and saving for retirement