A couple will retire in 50 years; they plan to spend about $30,000 a year in retirement, which should last about 25 years. They believe that they can earn 10 percent interest on retirement savings. If they make annual payments into a savings plan, how much will they need to save each year? Assume, the first payment comes in at the beginning of the year. How would the answer to part (a) change if the couple also realize that in 20 years, they will need to spend $ 60,000 on their child’s college education?

You are planning for your retirement. You expect to earn a monthly salary of $7,000 starting on the 1st month after you retire, which will 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 a down payment of $50,000 (ignore closing costs). 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 car is expected to cost you $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 will change to 6% monthly compounding after that. And how much do you need to save in TOTAL per month after you buy…

Lisa expects to retire in 21 years, and she expects to live 30 years after she retires. Lisa would like to have $60K available at the beginning of each year of her retirement. How much would Lisa need to deposit at the end of each of the next 12 years in order for her to reach her retirement objective? The deposits will be made into an account that earns 10% interest.

Your friend is celebrating her 35th birthday today and wants to start saving for her anticipated retirement at age 65. She wants to be able to withdraw $130,000 from her savings account on each birthday for 24 years following her retirement, the first withdrawal will be on her 66th birthday. Your friend intends to invest her money at 10.7% interest per year. How much money must she accumulate by the time she retires in order to make these withdrawals? (Round your answer to the nearest dollar)